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      <title-group id="title-group-1">
        <article-title id="article-title-1">Glance into solid-state transformer technology: a mirror for possible research areas</article-title>
      </title-group>
      <history id="history-1" />
      <abstract id="abstract-1">
        <p id="p-1" />
      </abstract>
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  <body id="body-1">
    <sec id="heading-abe04908bba3bdc98cfd3b0b880b95b8">
      <title>Introduction</title>
      <p id="heading-814f5b88c3bcd889b07bc66987ad136d" level="1">Power Electronics (PE) is one of the most emerging areas of Electrical Engineering <xref id="xref-d7884cc4e8169feb42f821382dde4c3a" ref-type="bibr" rid="ref-f143593797045d623ba82684c1514566">[1]</xref>. The technology is a branch of engineering that combines fields of electrical power, electronics and control <xref id="xref-a8342049547055a7a0d65fc79f87f85b" ref-type="bibr" rid="ref-f143593797045d623ba82684c1514566">[1]</xref>. PE is the technology associated with efficient conversion, control and conditioning of electric power by static means from its available input into a desired electrical output form <xref id="xref-697cdc2b61c37936930bf3160f2fbddf" ref-type="bibr" rid="ref-6972278b1983b539ffb7b3f8189b5888">[2]</xref>. The In other words, the technology is concerns with application of solid-state electronics to the control and conversion of electric power. PE enables efficient and flexible control over power from the grid. Therefore, this technology has been attracting research attention globally <xref id="xref-422ec97361d62721cbd8b4880424dd46" ref-type="bibr" rid="ref-bdd5b22d4115995bf08febb668adae71">[3]</xref>. The research in Power Electronics is mainly aim at miniaturization of practical electronic applications, and effectiveness of cost and dynamic performance of electrical equipment <xref id="xref-650e087923818d38b944497fcaa8842b" ref-type="bibr" rid="ref-5c81ef5451418b5a81701e9c0cc1db7b">[4]</xref>. One of the areas of application of PE is the transformer.</p>
      <p id="p-7cd78368bfd5b5e29e55a29ea16c3cd9" level="1">Low/Line Frequency Transformer (LFT) otherwise known as conventional transformer had been in use since 1880s. Since when it was invented, the transformer has been significantly improved. However, basic concepts of the transformer remain unchanged <xref id="xref-b9d7045f7f62ecee34378cdc7dbebccf" ref-type="bibr" rid="ref-06431fc29fee3255b887816f2c540fb7 ref-21ace993644eb2da71fe23f5d7888c2a">[5,6]</xref>. The transformer is relatively efficient, reliable etc. However, LFT gives losses at no load condition. This implies that it consumes power even if no load is connected at its secondary side. It only allows for unidirectional power flow. LFT is sensitive to harmonics causing it to heat up and to DC offset load imbalances, which causes them to saturate. In some of the LFTs, oil is used as a coolant, which can cause pose fear due to possibility of fire hazards and attracts environmental concerns <xref id="xref-6936c3848e4002635846308a74521c5d" ref-type="bibr" rid="ref-5a144bc73d62324f44a7908715139226">[7]</xref>. In addition, the LFT is associated with bulky size and heavy weight. These disadvantages, coupled with the fact that the emerging grid in electric power system requires new functionalities, controllability and flexibility from the distribution make the LFT undesirable <xref id="xref-5c58ba9b4339f478144f2e23c82e9f2f" ref-type="bibr" rid="ref-ad882e92b93f2f126cd4f8604f1a1b85">[8]</xref>. These and many more constraints of LFT permit researchers to conclude that the conventional transformer cannot effectively meet up with challenges of modern grid <xref id="xref-0d66e629cf68ce74035c706e23ca8f86" ref-type="bibr" rid="ref-5c81ef5451418b5a81701e9c0cc1db7b">[4]</xref>. Therefore, a smart power electronics based transformer (Solid-State Transformer, SST) has been investigated. The SST has relatively reduced size and weight due to use of High Frequency Transformer (HFT) in its design. Additional advantages of SST over the LFT are: mitigation of flicker, on-demand reactive power support to grid, power quality improvement, fast control of bidirectional active power flow (Forward and reverse flow), protection from system disruptions and overloads, provision for energy-storage capacity among others <xref id="xref-7d1eb5181718557e7ece173a0bc68bf7" ref-type="bibr" rid="ref-de8b9ef3da5318d61882639f1efa8252 ref-268c5e41a76ab73a51819aea93c666fc">[10,9]</xref>.</p>
      <p id="p-78b170cab313e5052d686e8caae5ff18" level="1">This paper conducted a research on evolution trend of SST, Its concept architecture, its conversion stages, HFT, and provides a general overview of the SST technology. Also, Obstacle of the SST to universal acceptance and future research possibilities are highlighted by the paper. Conclusion is finally drawn at the end of the paper.</p>
    </sec>
    <sec id="heading-ef3d61a0d0b6de963d339a81982e6ce1">
      <title>Evolution Trend of SST</title>
      <p id="heading-acc2f749a83cee4999059b6d69eb8ec9" level="1">Concept of SST was first discovered in 1968 by McMurray, a Los Angeles born Engineer who worked with General Electric Company <xref id="xref-663fa2c0614691d94766e142a87522b1" ref-type="bibr" rid="ref-de8b9ef3da5318d61882639f1efa8252">[9]</xref>. The discovery of the Electronic Transformer (ET) as it was then called was announced in 1970 <xref id="xref-e64ac27730b969013ff3a1fb7e9607e2" ref-type="bibr" rid="ref-589af8158ded43ff19633143295de872">[11]</xref>. Circuit diagram of the ET is as shown in <xref id="xref-b8929d329983f6d0b9c561516cc0b097" ref-type="fig" rid="fig-e7dcd848115deeeca54f5dc838f19c0c">Figure 1</xref>.</p>
      <p id="p-448c9733aa95a4add5d34963bc98253d" level="1"></p>
      <fig id="fig-e7dcd848115deeeca54f5dc838f19c0c">
        <object-id id="object-id-0a4684f779c3d3b7a1ac4e1d16d8aad5">fig-e7dcd848115deeeca54f5dc838f19c0c</object-id>
        <label>Figure 1</label>
        <caption id="caption-c88aea486eff82c6f9dc20d5e65627e6">
          <title id="title-19f7a26c9fe81c702470405d90d0ef83">Figure 1. Circuit Diagram of Electronic Transformer <xref id="xref-c32ad0454113390b7942aeea01f9d39e" ref-type="bibr" rid="ref-de8b9ef3da5318d61882639f1efa8252">[9]</xref></title>
          <p id="p-4" />
        </caption>
        <graphic id="graphic-3512eddbd211a933d1978f9dab52436f" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/366" />
      </fig>
      <p id="p-e04e1d826f0619ded91aba58c63477e0" level="1"></p>
      <fig id="fig-39780f710930184917f4239772aa0cdb">
        <object-id id="object-id-cf9d366c673464d2ded4b89a5cd9cd26">fig-39780f710930184917f4239772aa0cdb</object-id>
        <label>Figure 2</label>
        <caption id="caption-9743d055eaf7d5e5fb040f9103fdfffe">
          <title id="title-499934c14f1d8d2aa7bfe29e639f2942">Figure 2. Modified Circuit Diagram of Electronic Transformer <xref id="xref-14e05167e5a8d8c0260be5df2583e6dc" ref-type="bibr" rid="ref-de8b9ef3da5318d61882639f1efa8252">[9]</xref></title>
          <p id="p-5" />
        </caption>
        <graphic id="graphic-61ddf0acec335bd1a606e8540a561761" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/367" />
      </fig>
      <p id="p-3e9cf8570cc33111d5aba1c89b016d25" level="1"></p>
      <fig id="fig-9d2f6039b80422e5b9af14437313dcac">
        <object-id id="object-id-d023396ee38bbcc2b2cf30006ad1fdbd">fig-9d2f6039b80422e5b9af14437313dcac</object-id>
        <label>Figure 3</label>
        <caption id="caption-1a71a3af9c5284d0b1e1ff258da2bcdf">
          <title id="title-2b83e3c66c976cd8ff64f19a8f5d9ed0">Figure 3. Circuit Diagram of Intelligent Universal Transformer <xref id="xref-68ab24db5b6d0e1ba2c287a3c1cd593b" ref-type="bibr" rid="ref-de8b9ef3da5318d61882639f1efa8252">[9]</xref></title>
          <p id="p-6" />
        </caption>
        <graphic id="graphic-aaaed38c3506517d3065ab9e9bb76e5f" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/368" />
      </fig>
      <p id="p-147bfd6b900926b99743d302fb569534" level="1"></p>
      <p id="p-4b2553e51dd0a86cefc65a6955c2c659" level="1">The ET circuit was later modified to include inverse-paralleled pairs of Turn-OFF switches at 50% modulation index of both input and output stages by the inventor as shown in <xref id="xref-81bea53e3f6e74b7b228c8adbdffe8d8" ref-type="fig" rid="fig-39780f710930184917f4239772aa0cdb">Figure 2</xref>.</p>
      <p id="p-2">In 1980, Brooks proposes a SST design which was known as Intelligent Universal Transformer (IUT). IUT was produced in 1982 by Electric Power Research Institute (EPRI) <xref id="xref-20519c5db774cf8c49aab9b93dc733c3" ref-type="bibr" rid="ref-15fb4a18c5367d14603fd3b066d78214">[12]</xref>. The IUT circuit diagram is as shown in <xref id="xref-988086aaf2041ae954ad40d29204532c" ref-type="fig" rid="fig-9d2f6039b80422e5b9af14437313dcac">Figure 3</xref>.</p>
      <p id="p-3">Several names were given to SST by many Institutes and researchers: Power Electronics Transformer (PET); Energy Control Center (ECC); Energy Router etc. <xref id="xref-b235b2f9305a5d928d8f97c4af3ed733" ref-type="bibr" rid="ref-de8b9ef3da5318d61882639f1efa8252">[9]</xref>.</p>
      <p id="p-2787e50b16efb2919ee943f39d825c5f">-</p>
      <fig id="fig-6a6f2dc4eb7b6226e43c590a8f240df6">
        <object-id id="object-id-2948a2d4e37d713b8b3b2528ded25b95">fig-6a6f2dc4eb7b6226e43c590a8f240df6</object-id>
        <label>Figure 4</label>
        <caption id="caption-9be50d51304774dd3c319b4655ba11fe">
          <title id="title-2528e748eee90f68a702cccc2672dacd">Figure 4. Circuit Diagram of SST <xref id="xref-869137139fc39b476c3ec785df2e235e" ref-type="bibr" rid="ref-006b775c088c520d28dda06c8ac6b14d">[13]</xref></title>
          <p id="p-7" />
        </caption>
        <graphic id="graphic-d69b32ea231d91a84719e7535c7b266d" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/369" />
      </fig>
      <p id="p-4b0ba94df6df832a2c55884a77c67f14">-</p>
      <p id="p-2abad01233b685ee12669a8c18d7a3e7" level="1">The circuit diagram of the SST has been getting modification from research to another up the most recent one as in <xref id="xref-04b9acb22a382cafbcfd53dcf4740c30" ref-type="fig" rid="fig-6a6f2dc4eb7b6226e43c590a8f240df6">Figure 4</xref> is achieved. This is with the view to making sure that the transformer perfectly replaces the LFT <xref id="xref-38066614d0f00d4aea7339f16a0ce4aa" ref-type="bibr" rid="ref-006b775c088c520d28dda06c8ac6b14d">[13]</xref>.</p>
    </sec>
    <sec id="heading-10a3cbf3d7ddc42b169ea81c68939c3e">
      <title>SST Concept</title>
      <p id="heading-c5d294cff7d7e5b40a2f268b084c0b55" level="1">The SST can conveniently replace the LFT after addressing most of the basic challenges it has and provide the following functionalities in the electric grid <xref id="xref-18e641c362cbe2a09855c84c3e11a617" ref-type="bibr" rid="ref-4c57a4bbd49694f68e06b810de37d008">[14]</xref>: AC or DC bidirectional power flow; reduced size and weight as a result of use HFT in its construction; correction of power factor, fast fault detection and protection e.t.c <xref id="xref-a40a3c8a0bca534f870cdd593adf3a06" ref-type="bibr" rid="ref-15fb4a18c5367d14603fd3b066d78214">[12]</xref>. These in addition to the functions of the LFT it also offers: provision of galvanic isolation; and step up/down of input voltage. The additional functionalities SST can provide will enable it solve challenges of smart grid <xref id="xref-897f5e31102dee2e09f2811d28a345ad" ref-type="bibr" rid="ref-5f05b85a50d90a9e0ff4137052850b67">[15]</xref>. Opportunity to condition the power flow as provided by the SST will enable easy integration and subsequent management of Renewable Energy Sources, RES in the grid and handling of different loads. The traction systems will be blessed of achieving high performances as a result of reduced size and weight of the SST if it is employed to work with the systems. Additionally, cost of transformer, its transportation and maintenance will be significantly reduced.</p>
      <p id="p-5fe44184aa658cbae2304bf421dd8c81" level="1"></p>
      <fig id="fig-890e646b45124a3ea02c019a0daf0a46">
        <object-id id="object-id-5d04622e7fb4d76637be519527c73631">fig-890e646b45124a3ea02c019a0daf0a46</object-id>
        <label>Figure 5</label>
        <caption id="caption-90e1e84e1c4aed74f77c0854cb16affd">
          <title id="title-bbb36a78a420bd2a9dc2b6fb6616d927">Figure 5. Basic Concept of SST</title>
          <p id="p-8" />
        </caption>
        <graphic id="graphic-384f1540fb5be5c58008808454d48823" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/370" />
      </fig>
      <p id="p-df654ed562b55f4d7d4ba66dab5151e5" level="1"></p>
      <p id="p-2539f9116bb42c65a1ac9d7f2e599651" level="1">The SST circuit is composed of two or more static converters isolated by a transformer that operates at frequency considerably higher than the conventional 50/60Hz. The SST concept is as represented in <xref id="xref-19790d2ae4416f6df5b7995e942d5719" ref-type="fig" rid="fig-890e646b45124a3ea02c019a0daf0a46">Figure 5</xref> <xref id="xref-24759e26ce4154d158bcca29b76609e2" ref-type="bibr" rid="ref-ad882e92b93f2f126cd4f8604f1a1b85">[8]</xref>.</p>
      <p id="p-825e5d4cb50d57602d90aef32fd46eb3" level="1"></p>
      <table-wrap id="table-wrap-3f8e11e63d213478e08520e4d3737ef9">
        <object-id id="object-id-2d253b5bdb02b5606b2e99bb1abc98a0">table-wrap-3f8e11e63d213478e08520e4d3737ef9</object-id>
        <label>Table 1</label>
        <caption id="caption-bba45a2b022ac0d4b46510d5bc5e0874">
          <title id="title-816f2cc45896c028b97a3a82b1ef76c4">Table 1. Comparison between LFT and SST</title>
          <p id="p-ba3194c1213c3ce42c168ebeec6031ad">Table caption</p>
        </caption>
        <table id="table-c84f74932794e737d3ad14a42cd02581">
          <tbody>
            <tr id="table-row-9a125fe627f375ea5561ee8923950c46">
              <td id="table-cell-c5c2eca17349624b1d2b85dc863ae01a">No.</td>
              <td id="table-cell-9a4633170b513d046df7ecbc827148af">Parameter</td>
              <td id="table-cell-f79f087ae2f4806ee70784b10d5b948e">LFT</td>
              <td id="table-cell-fc96765fbd05c8a25a72188a460ed865">SST</td>
            </tr>
            <tr id="table-row-e0f4c236db88500037d4bb88dd9a018e">
              <td id="table-cell-05b40940f32b10521538e6a0ff5faee1">1</td>
              <td id="table-cell-8c01c0113dc5d3f7fe7b1dcc0a5dc286">Power Factor, PF</td>
              <td id="table-cell-7d516f5f10bf1b0a343fdc4a1882986b">Low PF</td>
              <td id="table-cell-dcebd596cbbc9fd5c1eb6c892a12d759">Almost Unity because of AD-DC conversion involved</td>
            </tr>
            <tr id="table-row-0af653b728e7b8dd8b77a75cf8c602bd">
              <td id="table-cell-f659a05b1054889b2648470435c0c1bc">2</td>
              <td id="table-cell-8b0816a85bf3bb83ba2a3186ff1f4aea">Size and weight</td>
              <td id="table-cell-75ed4890c626ab76f411a266d6ef3c70">Bulky and heavy</td>
              <td id="table-cell-454ed45bbc400ea09260b26fc6a2b116">Light and compact</td>
            </tr>
            <tr id="table-row-80037dd8f0c3a47d0d07983788400c5b">
              <td id="table-cell-5c2d70affc4ec1a6de02b90a75379e44">3</td>
              <td id="table-cell-82c3fa6d882ccc9fe884a314d78cf3db">Circuit topology</td>
              <td id="table-cell-4786d649a77a8e0fe38c9e5ac5e5c5aa">Primary and secondary sides are magnetically coupled, therefore, any parameter variation in one side affects other</td>
              <td id="table-cell-01ac671ef8f44170365c549cc418d02a">The two sides are independent and are being managed by proper converter control</td>
            </tr>
            <tr id="table-row-4ade0ac8f6b6e57e46141f9f1ef3b374">
              <td id="table-cell-0ccea7031b034b8d88b9f97c96f82a1c">4</td>
              <td id="table-cell-05126166ecaf1b4ea888eb32cf10d994">Voltage Regulation</td>
              <td id="table-cell-a3b025326d3c98b84b973c741ce26cc5">Not good for distribution LFT</td>
              <td id="table-cell-0c26aed76132e3d45db6e5db03f3c78b">As power flash current of SST can be controlled in transient, voltage regulation is better achieved</td>
            </tr>
            <tr id="table-row-dba7af81510e13b268b559b60c82847f">
              <td id="table-cell-0520dc74279f3eb19dbfadd0ac666495">5</td>
              <td id="table-cell-015aa629531d2a8b9c2a856648a68876">Losses</td>
              <td id="table-cell-bb34b58bb25fac21884250cd30f439b9">High losses, it cannot be implemented at full load or maximum efficiency</td>
              <td id="table-cell-ad3d12af24afdc3d700c34f7ae31ffd8">Efficiency can be increased since the current can be controlled</td>
            </tr>
            <tr id="table-row-202d81f76f90a1c05a5c05ae2ecdabbf">
              <td id="table-cell-d37bb8d23f681cab5690cd0a54d24163">6</td>
              <td id="table-cell-2180c5b16a5a958343fa036c625007db">Harmonics</td>
              <td id="table-cell-5cf7b61542b5c50eb37cb70dc8c7d76b">High harmonics due to use of saturated core</td>
              <td id="table-cell-e7856b3cbc0790c887a31b1fb01f6b95">Reduced harmonics due to proper control of converter</td>
            </tr>
            <tr id="table-row-f62f9cfc35aa7b165afae3e64c8d0671">
              <td id="table-cell-018213a215850fef6f757c511963f61e">7</td>
              <td id="table-cell-6cde94712a796dff6370e13e30984ab3">Fault detection</td>
              <td id="table-cell-79c3b9ea2373cfa597609ac77d2da8e8">External breaker is required</td>
              <td id="table-cell-28a4c187a8526b95ec7b588e06d114fa">Converter is the breaker</td>
            </tr>
            <tr id="table-row-8d397ccf86762bce33d82470e3518b8b">
              <td id="table-cell-7a59fe48c807343a61d262992ded7a58">8</td>
              <td id="table-cell-bcdd06e582652a7ee1f88bdb25de12bd">Output voltage</td>
              <td id="table-cell-1d85ce12919358a1e429954bb6ea0285">Depend on load phase</td>
              <td id="table-cell-683fea99b537975b2d104a9d398e3c56">Constant due to proper control of converter</td>
            </tr>
            <tr id="table-row-423378d86c0689e66017da9a974438a1">
              <td id="table-cell-92633f8ec8564ab55493e5e6462b1ce6">9</td>
              <td id="table-cell-041fab6bb12087ac549847d67f69532a">Effect on Environment</td>
              <td id="table-cell-b40516c279641ef79f1a17432700632a">Oil for cooling may pollute environment</td>
              <td id="table-cell-8fd28c9c39866d3ef2616f965b96a1ee">No oil is required as coolant</td>
            </tr>
          </tbody>
        </table>
      </table-wrap>
      <p id="p-8cc50ef4e95fc4dc989c260909d841da" level="1"></p>
      <p id="p-5662b776f7a5f784ff02299339f9ba2c">Comparison between SST and LFT based on some selected transformer parameters is as shown in <xref id="xref-acdfae6adfb6458fc48cc26e7e778d73" ref-type="table" rid="table-wrap-3f8e11e63d213478e08520e4d3737ef9">Table 1</xref>.</p>
    </sec>
    <sec id="heading-3c2e29ed54f5ef288aa345041bf55d1d">
      <title>SST Architecture</title>
      <p id="heading-f4d4e863ebdf8882207f4d93ad07324f" level="1">Many SST architectures exist. The architectures have different design features, and circuit performances <xref id="xref-675209e5e62af7c27167904a9b594efb" ref-type="bibr" rid="ref-f0f6766db11dbe4078eb9d60d537b331">[16]</xref>. The SST architectures are classified into four groups. These are : i) Single stage without Direct Current, DC link; ii) two stages with low voltage DC link; iii) two stages with medium voltage DC link; and iv) Three stages with low and medium voltage DC link <xref id="xref-dcedf3cc2d91d388849867cfb7746d88" ref-type="bibr" rid="ref-5c81ef5451418b5a81701e9c0cc1db7b ref-589af8158ded43ff19633143295de872">[11,4]</xref>. Circuit diagrams of these groups are as shown in <xref id="xref-d2e80f748c951260859c66145c456f4c" ref-type="fig" rid="fig-df91910a35cafa6870f973972a476ba0">Figure 6</xref> to <xref id="xref-1575f8efc534fe8c3cbaf9eaaa44ec31" ref-type="fig" rid="fig-82d582c91939b46f93b7fd676e00ae56">Figure 9</xref>.</p>
      <p id="p-247cda213724a314c30dce62c9a6c945" level="1"></p>
      <fig id="fig-df91910a35cafa6870f973972a476ba0">
        <object-id id="object-id-72d387b032dc4e565a23e7a3a78cccac">fig-df91910a35cafa6870f973972a476ba0</object-id>
        <label>Figure 6</label>
        <caption id="caption-c39a9fe120c43cefda0b7667779d9b2d">
          <title id="title-f4573e550e81ed1b372fb5bcf76798e4">Figure 6. Circuit Diagram of Single Stage SST without DC Link</title>
          <p id="p-9" />
        </caption>
        <graphic id="graphic-e15090d697d90a585d5b364fbcc490ea" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/371" />
      </fig>
      <p id="p-89a62eb60c58610b29da4dc711f1dea2" level="1"></p>
      <fig id="fig-361e19da558cb6089945c4eb683ab1a0">
        <object-id id="object-id-b699cd803959bd1b295b043ffb3b81bb">fig-361e19da558cb6089945c4eb683ab1a0</object-id>
        <label>Figure 7</label>
        <caption id="caption-a366cbec60e224affdfe5968781a08bd">
          <title id="title-063b8ee7c8c4d18be3c3eee7475cab8a">Figure 7. Circuit Diagram of Single Stage with Low Voltage (LV) DC Link</title>
          <p id="p-10" />
        </caption>
        <graphic id="graphic-7d6212bba46d363d147b79b6fcb54b78" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/372" />
      </fig>
      <p id="p-cbd64abddab6eb6d4899dedc2b2c0698"></p>
      <fig id="fig-7782b9284d7ee4c7db8961fbf666aa63">
        <object-id id="object-id-131caecb4b6f3054afcc13eb694237d9">fig-7782b9284d7ee4c7db8961fbf666aa63</object-id>
        <label>Figure 8</label>
        <caption id="caption-515097389fe4845a20942fe5ba1405a5">
          <title id="title-db2e01301c6722531636495cf2e35563">Figure 8. Circuit Diagram of Single Stage with Medium Voltage (MV) DC Link</title>
          <p id="p-11" />
        </caption>
        <graphic id="graphic-a13ab137c0478b8d682060b80f2cba23" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/373" />
      </fig>
      <p id="p-8a31fd31f0be2da59b22a7e5efd90221" level="1"></p>
      <fig id="fig-82d582c91939b46f93b7fd676e00ae56">
        <object-id id="object-id-7205beb20d6dfa326471463fdc58c4da">fig-82d582c91939b46f93b7fd676e00ae56</object-id>
        <label>Figure 9</label>
        <caption id="caption-3cd786bfe2705b2e2d0ab9b422138947">
          <title id="title-169b82aef61b7c8d617779dc5e922196">Figure 9. Circuit Diagram of Single Stage with Medium Voltage (MV) and Low Voltage DC Links</title>
          <p id="p-12" />
        </caption>
        <graphic id="graphic-bb02ea698b0732825917a56fee9f19b0" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/374" />
      </fig>
      <p id="p-f0eb0c32bed1634f27a2ce3df758d285" level="1"></p>
    </sec>
    <sec id="heading-2b6776d9559dd8d8779ea7b478dd3032">
      <title>Overview of SST Conversion Stages</title>
      <p id="heading-3f05abc11f6eb481c4262aefcae4c363" level="1">There are three main conversion stages in the SST. These are : i) AC-DC conversion stage (Rectifier); ii) DC-DC conversion stage; and DC-AC conversion stage (Inverter) <xref id="xref-dd964bdd2f65699b687971abe8de5c3a" ref-type="bibr" rid="ref-f0f6766db11dbe4078eb9d60d537b331 ref-ee5c341592afe2b4e06ad7d9009dd738">[16,17]</xref>.</p>
      <p id="p-1f8ff0cf941f24b2cceb6c4e4820d04d">The AC-DC stage is the first stage of SST and is responsible for the connection of MV AC side of the distribution network and the MV DC link <xref id="xref-ab6d24db56a47ff45fd9c9ca2847b52a" ref-type="bibr" rid="ref-f0f6766db11dbe4078eb9d60d537b331">[16]</xref>. Multilevel topology is mainly used. The commonly used multilevel are: i) cascade H-bridge; Neutral Point Clamped (NPC) otherwise known as diode-clamped; and iii) Flying capacitor converter.</p>
      <p id="p-78d9574c76aa603bc9a20cb16f7d29ca">At this stage, the input voltage is the line voltage of the grid for the desired Solid-State Transformer. The DC voltage is calculated using the expression <xref id="xref-6fd86e6bd36440709dd0e81bc481b4a9" ref-type="bibr" rid="ref-5f05b85a50d90a9e0ff4137052850b67">[15]</xref>:</p>
      <p id="p-ef0127bb4b18601fefd96a5134fb3628"><inline-formula id="inline-formula-c678b2f092178a2fcd7c7d2931aa148f" content-type="math/tex"><tex-math id="tex-math-7573f8007b8306713246627215ae43e4">\begin{equation}  V_{DC}=\frac{2}{\frac{2\pi }{6}}  \tag{1} \end{equation}</tex-math></inline-formula></p>
      <p id="p-4d8cd111378d1773d3f2ab4368cf1ee6">DC-DC conversion stage comprises three main sections. These are: i) DC-AC converter (Inverter); ii) HFT; and iii) AC-DC converter (Rectifier). This stage is the most crucial stage of the SST. Much architecture for this stage is available with different circuit topologies, performances and characteristics. Some of these architectures are: i) Dual Active Bridge (DAB), which consists of two H-bridges isolated by an HFT; ii) Bidirectional Isolated Current Doublers (BICD) converter; and iii) The LLC resonant converter. At the High frequency transformer stage, the peak Line Voltage (V<sub id="sub-1">Lpeak</sub>) and Root Mean Square (RMS) value of the Line Current (I<sub id="sub-2">L RMS</sub>) are given as follows <xref id="xref-5fc06bc3fab6dafbd90f9ca93edff75c" ref-type="bibr" rid="ref-5f05b85a50d90a9e0ff4137052850b67">[15]</xref>:</p>
      <p id="p-53f4162f8c5f7374af43f44ae8d2b72a"><inline-formula id="inline-formula-c1cb254fc2aae981025f0c8ff2fb8e65" content-type="math/tex"><tex-math id="tex-math-326de6e657d2577f9758417f57d13bac">\begin{equation} V_{Lpeak}=\frac{\pi }{3}V_{DC}  \tag{2} \end{equation}</tex-math></inline-formula></p>
      <p id="p-32936ad33ca9466de435b47f6ed6bf35"><inline-formula id="inline-formula-3e6ccd1f32cb737c2d1263b6fa3714fc" content-type="math/tex"><tex-math id="tex-math-a7fffcd6eff31a12bf9f8fbb3ba3f966">\begin{equation} I_{LRMS}=\frac{VA }{V_{RMS}\sqrt{3}}  \tag{3} \end{equation}</tex-math></inline-formula></p>
      <p id="p-77f05558c28333f8050c95991ed629e0">where V<sub id="sub-f4e69135cd01c1cc36051d852cbac1af">DC </sub>is the DC voltage at the stage, and VA is the apparent power rating of the SST.</p>
      <p id="p-429e114036c3badd835b1a112ae7f647">DC-AC conversion stage, here the DC link medium voltage is converted to AC low voltage to drive AC loads. In a situation whereby DC port is required, it is created at the input of this stage.</p>
    </sec>
    <sec id="heading-c478aa9e78ed804515cc2b796014ea22">
      <title>High Frequency Transformer</title>
      <p id="heading-c95aad34e8e4949d63235f3a3c094fa1" level="1">High frequency Transformer (HFT) is one of the major components of SST <xref id="xref-e5dfc99a9ec697535a5974944a74bc0b" ref-type="bibr" rid="ref-82fb96df18a7845a128da5228379c97f">[18]</xref>. It plays vital role for the performance and overall efficiency of the transformer. It provides the following advantages: electric isolation between the input and output stages; large voltage and current ratios between input and output; size and weight reduction among others <xref id="xref-eb9b185658436ed06f6df85dbe780e8e" ref-type="bibr" rid="ref-bb34b646cba73e5086de17e4858bd849 ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[19,20]</xref>. Due to the fact that the HFT operates at high frequency it is connected to high voltage in case of medium voltage grid, its design is more complex compared to that of the conventional transformer. Use of HFT is responsible for size and volume reduction as well as high power density obtained with the SST. This is in line with the relation between the frequency ‘f’ and overall transformer size as approximated in the following expression <xref id="xref-9a6b5350690f69a8c0cc6459b56b7e04" ref-type="bibr" rid="ref-589af8158ded43ff19633143295de872">[11]</xref>.</p>
      <p id="p-20028bf140f8122aba8e5978d80aca97" level="1"><inline-formula id="inline-formula-53ed436ab81bd6af6925000fea8e7ae3" content-type="math/tex"><tex-math id="tex-math-dad14523eca2531c63aceb947ed80eef">\begin{equation} A_{w}XA_{c}\propto \frac{S}{B_{m}XfXJ}  \tag{4} \end{equation}</tex-math></inline-formula></p>
      <p id="p-999bfe74c154abe9bd21e634f1329608" level="1">where, A<sub id="sub-521bb9bb7e90df85cd7847b0c371cb48">c</sub> is the core area, A<sub id="sub-12051d96dc7208ed1060857a0e50c1d7">w</sub> is the window area S is the output apparent power B<sub id="sub-3">m </sub>is the peak flux density, and J is the current density of the conductor. A review of the technology of HFT will be presented later in the paper.</p>
      <p id="p-87a9ff0eba99360ba488db9b97d64ce3">In general, while designing SST harmonics are mitigated to the lowest minimum. This action is carried out by an input and output inductors. Value of each of these inductors when multilevel converters are employed in the design, is calculated using the expression <xref id="xref-ed785f6337194221a40e5ca181198b7b" ref-type="bibr" rid="ref-025583b7211a6c09cd32d9e98fd83aa8">[21]</xref>:</p>
      <p id="p-d5649a5450048d2476a6fd272ad03987"><inline-formula id="inline-formula-8e2e23c7c917c9dab394b22caefe6720" content-type="math/tex"><tex-math id="tex-math-508bfc0f6fbc701eb5fd4ea27a9adcaf">\begin{equation} L=\frac{1}{n}X\frac{V_{DC}}{\Delta I_{peak}Xf_{sw}}  \tag{5} \end{equation}</tex-math></inline-formula></p>
      <p id="p-d923a23ab7f942245a7a50edb4057fc6">Where n is a variable that depends on number of levels of converters to be used for the SST and equals 2, if a 4 levels converter is to be used, then n= 8, f<sub id="sub-fd79dbab1ed3a33687c8e960bdbb5a4d">sw</sub> is the switching frequency.</p>
      <p id="p-47078605b8d53133eb429ee2e9c92e14">The LC filter capacitor value is calculated as follows <xref id="xref-ca7b4e0de12ee182a9f736a78ff35a6f" ref-type="bibr" rid="ref-025583b7211a6c09cd32d9e98fd83aa8">[21]</xref>:</p>
      <p id="p-731acd9746b09ed771092d048b933b97"><inline-formula id="inline-formula-8d6657b92519e008244363be57ead110" content-type="math/tex"><tex-math id="tex-math-0ca32bcd9f5c3bca13e56a992002af8e">\begin{equation} C_{out}=\frac{1}{\left ( 2\pi f_{c} \right )^{2}L_{inv}}  \tag{6} \end{equation}</tex-math></inline-formula></p>
      <p id="p-a4cb6d5e74ea749ee153ce1f48555840">where L <sub id="sub-fc0b33b2b65b760df7c0484e27e5ffda">inv</sub> is the value of the output inductor. If input filter capacitor is to be calculated then L<sub id="sub-b0367049c4f57bc39e1e3eb91bdc856c">inv</sub> in equation (6) will mean input inductor.</p>
      <p id="p-8af44b3697fc44c2c30cecadb03512b3">In many designs of the SST use of DC link is also employed. Value of capacitor at the DC link can be calculated as follows <xref id="xref-d478099041510181682d6cd82005e1f7" ref-type="bibr" rid="ref-025583b7211a6c09cd32d9e98fd83aa8">[21]</xref>:</p>
      <p id="p-1a70064d9262ad13090c48b866c375ff"><inline-formula id="inline-formula-96039f2109f5517827d45d5d0dc1e7f3" content-type="math/tex"><tex-math id="tex-math-8d50bb03501d11d5591c33edaf2b3340">\begin{equation} C_{DC}=\frac{V_{a-peak}XI_{n-peak}}{4\pi Xf_{g}XV_{DC}X\Delta V_{c}} \tag{7} \end{equation}</tex-math></inline-formula></p>
      <p id="p-bba7510ca15895c003e4aafd47a55ca8">where V<sub id="sub-6920efe50037a07a10ab868179b665c2">a-peak</sub> is the output voltage peak value and I<sub id="sub-ea6bc00810d52c1f8f5478ff57739b99">n-peak </sub>is the neutral current peak value.</p>
    </sec>
    <sec id="heading-a42647992d53b3d985e43b36fd896c7b">
      <title>General Overview of the SST technology</title>
      <p id="heading-e1c9497a31c085421dc172c7c6a46279" level="1">Technology of the SST uses majorly converters to convert signal voltage from AC to DC and vise-versa, modulation technique to mitigate harmonics, filters at both input and output, control strategy for successful operation of the transformer. Technology of some of these units is briefly reviewed under this section of the paper.</p>
      <sec id="heading-ac6a909852e80ab02d080573c691016c">
        <title>Review of converters technology</title>
        <p id="heading-55657d81e34803ed54c4f7b1b477eba1" level="2">The SST is an arrangement of converters separated or isolated by a high frequency transformer to function in a similar way the LFT does and with additional flexibilities and functionalities.</p>
        <p id="p-34fdb139646a01025201482091827b01">Converter enables the switching functions for the SST to operate. It does all the required necessary conversions such as: AC-DC, DC-DC, DC-AC and AC-AC <xref id="xref-48c10b6ecde1c65c88730628e2c96a35" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>.</p>
        <list list-type="bullet" id="list-41535ab962d56ef460c64818ce7ba35d">
          <list-item>
            <p>AC-DC converter changes AC voltage to DC voltage. It is also called rectifier Examples of this type of converter are: Phase control rectifier, SMPS.</p>
          </list-item>
          <list-item>
            <p>DC-DC converter also known as chopper. This type of converter steps up or down a DC voltage. There are types of this Converter: (i) True or Pure Sine Wave DC-AC Converter, (ii) Modified Sine Wave or Quasi Sine Wave DC-AC Converter, and (iii) Square Wave DC-AC Converter.</p>
          </list-item>
          <list-item>
            <p>DC-AC converter also called Inverter. It converts DC voltage to an AC voltage.</p>
          </list-item>
          <list-item>
            <p>AC-AC converter also known as cyclo-converter. It changes AC voltage level to another (either up or down). They are also called AC voltage regulator, matrix converter.</p>
          </list-item>
        </list>
        <p id="p-6500a478cf355df6a1e3ea0e0f99db9b">In general, there are <xref id="xref-4acd4f2b2115bd50ccc0143a3d148bb3" ref-type="bibr" rid="ref-57fffca05f3c8084dc38cbda959989f1">[22]</xref>:</p>
        <p id="p-b95069f5797e8857cff34d7191306766">a. Transformer-less converter: This consists of: Buck (step-down) converter. Buck converter is a basic transformer-less topology. It steps down an input voltage to an output voltage. Other types of the transformer-less converter are based on the buck converter in terms of analysis and design; Boost converter (step-up). It steps up input voltage; Buck-Boost Converter (step-down/step up). This converter steps up or down an input voltage to the output voltage; Cuk converter. It is dual of buck-boost converter. It consists of a capacitor that is used as main energy storage and transferring element that transfers power from primary to secondary stage; Full Bridge converter. This type of converter is the common among them. Its main areas of application are: DC motor drives, DC-AC (sine-wave) conversion in single-phase AC UPS systems and DC-AC (high intermediate frequency) conversion in switch-mode transformer-isolated DC power supplies. Circuit diagrams of this category of converter are as shown in <xref id="xref-ae7bfae8cc54f1b27b70dd522579aac9" ref-type="fig" rid="fig-ed1307f60e1d1b25f1f7223a4fce1a8f">Figure 10</xref>, <xref id="xref-b1346a9d33b6046007ab2042da3bd45c" ref-type="fig" rid="fig-02b516a606ec76df940accb06e6350c8">Figure 11</xref>, <xref id="xref-67da0c89c48225a31965443c4b008b2c" ref-type="fig" rid="fig-1ff2cc1a8dd0012025030a1937bc148e">Figure 12</xref>, <xref id="xref-139204d7f4e72931c8bfa74cd96289c5" ref-type="fig" rid="fig-8b11b1bca396692c7b33238f12ada57d">Figure 13</xref>, and <xref id="xref-61b918ec81b63071c6a109908f15a869" ref-type="fig" rid="fig-c93c4e12da053ea78ef74577590c4109">Figure 14</xref>.</p>
        <p id="p-d17fb2bd8b9979fa4a9d7d7c34256108"></p>
        <fig id="fig-ed1307f60e1d1b25f1f7223a4fce1a8f">
          <object-id id="object-id-85263921dc0327a99300eb3948b47cb2">fig-ed1307f60e1d1b25f1f7223a4fce1a8f</object-id>
          <label>Figure 10</label>
          <caption id="caption-ceb85538264202a4fdd17b3e384bbd57">
            <title id="title-8204773dfb81c04e72669485dc03687e">Figure 10. Circuit diagram of Buck Converter</title>
            <p id="p-13" />
          </caption>
          <graphic id="graphic-38c8df86694c09c9803bcc5ceb52dd18" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/375" />
        </fig>
        <p id="p-f675f5096c88810179ad631f7d246eca"></p>
        <fig id="fig-02b516a606ec76df940accb06e6350c8">
          <object-id id="object-id-289bd6f30d545ee1033725c204d82015">fig-02b516a606ec76df940accb06e6350c8</object-id>
          <label>Figure 11</label>
          <caption id="caption-de1140e63d69420ebf9f849d9aba2199">
            <title id="title-fdf73e424052b99abd0fa51aded3c40e">Figure 11. Circuit diagram of Boost Converter</title>
            <p id="p-14" />
          </caption>
          <graphic id="graphic-627ec0660b490880fd1f6accc6c3f42a" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/366" />
        </fig>
        <p id="p-ed281fbb7ad465dbb9ab1b7de2de11ca"></p>
        <fig id="fig-1ff2cc1a8dd0012025030a1937bc148e">
          <object-id id="object-id-8ab140aaab46ab6d395b7abe9b6baca8">fig-1ff2cc1a8dd0012025030a1937bc148e</object-id>
          <label>Figure 12</label>
          <caption id="caption-cc7bbad9b44c22aeef5362201b2ccdd8">
            <title id="title-4c9c0823e3c4a334a1cbca471f9fd3a5">Figure 12. Circuit diagram of Buck-Boost Converter</title>
            <p id="p-15" />
          </caption>
          <graphic id="graphic-12fb25c0828be5362320ca8f81dd8fee" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/367" />
        </fig>
        <p id="p-36d46262edf58b0a4e994586d660b7da"></p>
        <fig id="fig-8b11b1bca396692c7b33238f12ada57d">
          <object-id id="object-id-e02f4d5c30b216ec5d1977392dd213a4">fig-8b11b1bca396692c7b33238f12ada57d</object-id>
          <label>Figure 13</label>
          <caption id="caption-b29057334ed5711ec783c7fc6995c751">
            <title id="title-83d1182c88e5d45494bc07359c2302ec">Figure 13. Circuit diagram of Cuk Converter</title>
            <p id="p-16" />
          </caption>
          <graphic id="graphic-d683d3261b2e58c00fb9a508449f5adb" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/368" />
        </fig>
        <p id="p-b3848b17ea5ad8f83a48a57830aaee7e"></p>
        <fig id="fig-c93c4e12da053ea78ef74577590c4109">
          <object-id id="object-id-ba1941744041a81846c891f2aae823a8">fig-c93c4e12da053ea78ef74577590c4109</object-id>
          <label>Figure 14</label>
          <caption id="caption-5dbbaf1720f07b5f3ba347e0ee25d5e2">
            <title id="title-17344a2d0e7a99bff99da64a16bb649e">Figure 14. Circuit diagram of Full Bridge Converter <xref id="xref-d5aa0f52ee9947f5715d72616d6e151b" ref-type="bibr" rid="ref-57fffca05f3c8084dc38cbda959989f1">[22]</xref></title>
            <p id="p-17" />
          </caption>
          <graphic id="graphic-b9054f5fe217420ab84ae7ff5a416423" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/369" />
        </fig>
        <p id="p-14c99dd0527090d41beb79785828fefe"></p>
        <p id="p-89c492248aecbbc91bfe592591f99810">b. Isolated Converter. This type of converter includes a conventional transformer which provides electrical isolation and helps protects or minimize effect of faults. Isolated converters are grouped into two main groups depending on the means by which electrical isolation is provided: Unidirectional core excitation in which only positive quadrant (quadrant I) in <xref id="xref-56a2c8533a51dc1f577222cfac1b30e6" ref-type="fig" rid="fig-b4c49c750021b38ec4776e6208ab7dc4">Figure 15</xref> is used and Bidirectional core excitation which means both positive and negative quadrant (quadrants I and III) of the B-H loop are used.</p>
        <p id="p-78fe10eca2fe8af18c06dd1155289af4"></p>
        <fig id="fig-b4c49c750021b38ec4776e6208ab7dc4">
          <object-id id="object-id-d79ee1a4433098eda4d284ca19a0cebe">fig-b4c49c750021b38ec4776e6208ab7dc4</object-id>
          <label>Figure 15</label>
          <caption id="caption-91dc9af0a6bbf11b2c3290162ae84bf7">
            <title id="title-ca94a9a7b54f12e917bf84fdaa74ce5f">Figure 15. A typical B-H Loop <xref id="xref-8d7b1694c0d273ebcd8db05d24c3cf10" ref-type="bibr" rid="ref-57fffca05f3c8084dc38cbda959989f1">[22]</xref></title>
            <p id="p-18" />
          </caption>
          <graphic id="graphic-29192f1ab6f247f0ef28af98014ad7cc" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/370" />
        </fig>
        <p id="p-7ccde528a61b7a0e86f5bbf80005ce96"></p>
        <p id="p-fc1ab93bb24c911853b65164929e1ab8">Some DC-DC converters that cannot provide Electric isolation can be modified to provide it. This can be achieved by means of unidirectional core excitation. Example: of such improvement are: Fly-back converters (Obtained from buck-boost converters). It is derived by a second winding to the inductor in the Buck-boost converter to achieve electrical isolation as in <xref id="xref-975f62c1f505aa985a4153d8fa160160" ref-type="fig" rid="fig-7ed120627acf2f4afbf6d3064b2d32ab">Figure 16</xref>; Forward converters (derived from Buck converters). This is derived from Buck converter. The voltage ratio in this form of converter depends on the duty ratio/modulation index in a similar manner to a Buck converter. The voltage transformation ratio is the same in either way of this type of converter. Circuit diagram of this converter is as shown in <xref id="xref-aacad12da52525ba5ce06f27c3526586" ref-type="fig" rid="fig-8c5c17cd1d2a64c1ddf4b94530849635">Figure 17</xref>.</p>
        <p id="p-7be84914ca37272f67e852296b588322"></p>
        <fig id="fig-7ed120627acf2f4afbf6d3064b2d32ab">
          <object-id id="object-id-3891e2c6fc244e61b04ce7fd1a415a1d">fig-7ed120627acf2f4afbf6d3064b2d32ab</object-id>
          <label>Figure 16</label>
          <caption id="caption-32d09401df36fb5ad6cbf50fd850c969">
            <title id="title-668af5f657e2f80da3da06abc5e7fd59">Figure 16. Circuit diagram of Fly- Back Converter <xref id="xref-06367a7b9dae7665c2905be294c2001c" ref-type="bibr" rid="ref-57fffca05f3c8084dc38cbda959989f1">[22]</xref></title>
            <p id="p-19" />
          </caption>
          <graphic id="graphic-517fe25bc7058098c5a0c3c3a367d739" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/371" />
        </fig>
        <p id="p-bf9ab202c26a1ad419340ebbad3701d7"></p>
        <fig id="fig-8c5c17cd1d2a64c1ddf4b94530849635">
          <object-id id="object-id-ce79d69f4b57c512880ebfbf6211e2ba">fig-8c5c17cd1d2a64c1ddf4b94530849635</object-id>
          <label>Figure 17</label>
          <caption id="caption-90ec4f2aad8e88b466b1c8bd2efa4c72">
            <title id="title-4e537ab943a155c4b5b12b420b72c52b">Figure 17. Circuit diagram of Forward Converter <xref id="xref-2aab5effc0e6d38ad2f78f2eeac8e1ec" ref-type="bibr" rid="ref-57fffca05f3c8084dc38cbda959989f1">[22]</xref></title>
            <p id="p-20" />
          </caption>
          <graphic id="graphic-626fd6cc42f9717e1daf01878bb82423" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/372" />
        </fig>
        <p id="p-f3f8af9de05a63735e854a904e1a8b44"></p>
        <p id="p-bf586f362be2d42e3ec3e09fff66ee93">Pulse Width Modulation is used to regulate output of these converters to achieve desired output. In order to obtain bidirectional core isolation as in SST, the following architectures are used to produce a square-wave form AC at the input of the high-frequency isolation transformer: Push-pull; Half Bridge; and Full Bridge. Circuit diagrams of these converters are as shown in <xref id="xref-35bc6d30fcc116d3b435a9f8f67bee6e" ref-type="fig" rid="fig-b180f05af431bb797150c0870c10407c">Figure 18</xref>, <xref id="xref-70c3e9ecb65f6c7557bc21440249705a" ref-type="fig" rid="fig-6bf3afdf76b9b0cab7df9f6a7baa118a">Figure 19</xref>, and <xref id="xref-6842fb6935ff2852b64dcfd61ec8212e" ref-type="fig" rid="fig-9e740a700ed99d3129e655a5726db0a0">Figure 20</xref>.</p>
        <p id="p-977ddef2c5386b49a52aa3e95192ee78"></p>
        <fig id="fig-b180f05af431bb797150c0870c10407c">
          <object-id id="object-id-7cc44eecd4892072678691c0921c80e4">fig-b180f05af431bb797150c0870c10407c</object-id>
          <label>Figure 18</label>
          <caption id="caption-99c89a20be7dbd16037317e12bac7cf2">
            <title id="title-a17536c51217bee1f435a7b26452d817">Figure 18. Circuit diagram of Push-pull Converter <xref id="xref-cbecff08f235e3ccee308ad09dec79fe" ref-type="bibr" rid="ref-57fffca05f3c8084dc38cbda959989f1">[22]</xref></title>
            <p id="p-21" />
          </caption>
          <graphic id="graphic-56ec59394979f8d08bb62e5c0b0dd814" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/373" />
        </fig>
        <p id="p-08ca40250407f2d16eb5504bb9b0debd"></p>
        <fig id="fig-6bf3afdf76b9b0cab7df9f6a7baa118a">
          <object-id id="object-id-3dfe615eb25cca3b00762fe9b12f604b">fig-6bf3afdf76b9b0cab7df9f6a7baa118a</object-id>
          <label>Figure 19</label>
          <caption id="caption-bc95756dd6d50dca0ba049dcdbddd863">
            <title id="title-ec1e52989854f6bb9ed2f1beaffb0fab">Figure 19. Circuit diagram of Isolated Half Bridge Converter <xref id="xref-25143d777129947de20289831f9ae452" ref-type="bibr" rid="ref-57fffca05f3c8084dc38cbda959989f1">[22]</xref></title>
            <p id="p-22" />
          </caption>
          <graphic id="graphic-f5ba5793d4b8821563613fde8b1c0382" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/374" />
        </fig>
        <p id="p-6fd7f4924699054a64eeeb2a5df56d6d"></p>
        <fig id="fig-9e740a700ed99d3129e655a5726db0a0">
          <object-id id="object-id-158e00056c7c042a5eec01b7bd9a53ab">fig-9e740a700ed99d3129e655a5726db0a0</object-id>
          <label>Figure 20</label>
          <caption id="caption-f133c0655dac830ff1216a92ce6d9368">
            <title id="title-5a680aa88bef4f2f66a788c86a61c727">Figure 20. Circuit diagram of Isolated Full Bridge Converter <xref id="xref-bc34830967ff08b6e1c4f2ce91893fa0" ref-type="bibr" rid="ref-57fffca05f3c8084dc38cbda959989f1">[22]</xref></title>
            <p id="p-23" />
          </caption>
          <graphic id="graphic-4e6be3ddd29823f56e970e90e227e319" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/385" />
        </fig>
        <p id="p-15c7c4da3cd2616bd3b981a0686e1867"></p>
        <p id="p-15ef4da675ac130f3da7a0af5a2544ef">c. Series Resonant Converters (SRC). These are combination of converter topologies and switching strategies that result in zero-voltage and/or zero-current switching. Addition of Inductance ‘L’ and Capacitance ‘C’ enables resonant behavior. An LC tank is used to cause oscillation of the capacitor voltage and inductor current. This results in Zero-Voltage Source (ZVS) and/or Zero-Current-Source (ZCS). Circuit diagram of these Converters is shown in <xref id="xref-d3c296351867de20e8469fbba025194d" ref-type="fig" rid="fig-ed81dd635f96d5601b353e9ae036c042">Figure 21</xref>. These converters act as current source.</p>
        <p id="p-b9471dd0fb07aedb1cfef1f6f888e14c"></p>
        <fig id="fig-ed81dd635f96d5601b353e9ae036c042">
          <object-id id="object-id-ffc155eb68757c0fba3da4e3571e993d">fig-ed81dd635f96d5601b353e9ae036c042</object-id>
          <label>Figure 21</label>
          <caption id="caption-f99c26a87a534eee39fd0bf2016d88d1">
            <title id="title-a3dfde6c398baece784b3fe3441badce">Figure 21. Circuit diagram of Series Load Resonant Converter</title>
            <p id="p-24" />
          </caption>
          <graphic id="graphic-fd3db7fa07deb028f25fafd404f3d112" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/366" />
        </fig>
        <p id="p-47f6fdf83cc1eeeb393dc3183d275a5d"></p>
        <p id="p-7432f56b892cc96c3957249387cbd394">These converters can operate in the following modes: (i) Discontinuous-Conduction Mode (DCM) with <inline-formula id="inline-formula-eb6d0d23ac606eac6e1b9dd72ab87e15" content-type="math/tex"><tex-math id="tex-math-94837e366638053699be59ee4d99e53a">\( f_{s}&lt; \frac{1}{2}f_{0} \)</tex-math></inline-formula> . In this case it operates at a frequency lower than the resonant frequency. Merits of this type of converter are: The switches naturally turn OFF at zero current and zero voltage, as the inductor current goes to zero; It has better controllability over no load conditions. However, it is associated with higher conduction losses due to large peaks in the inductor current every cycle. This is a result of the fact that the switching frequency is very low, and therefore it allows both the inductor current and capacitor voltage to fully resonate through a complete cycle; (ii) Continuous-Conduction Mode (CCM) with <inline-formula id="inline-formula-46a6ac7e7c1c9609b92edee19c5534fe" content-type="math/tex"><tex-math id="tex-math-3aee6e4d98ea58744d745af7f38e4cb9">\( \frac{1}{2}f_{0}&lt; f_{s}&lt; f_{0} \)</tex-math></inline-formula> . In this mode, operation only takes place between half of the resonant frequency and the resonant frequency. Here, the switches turn ON at finite current and voltage, thus resulting in a turn-ON switching loss. However, it enables continuous inductor current. Turn OFF of the switches occurs naturally at ZCS and ZVS in this mode of operation; (iii) Continuous-Conduction Mode with <inline-formula id="inline-formula-7ed40a1fda328486fe4472b6d8c9eaa0" content-type="math/tex"><tex-math id="tex-math-81fc7062f766b85c1810335977d4b6f2">\( f_{s} &gt;  f_{0} \)</tex-math></inline-formula>.</p>
        <p id="p-4bab7e0af690e0a9fa38ecbd5bd76e7c">In this mode, operation is limited above the resonant frequency. Here, the switches turn ON at finite current, but turn ON at a zero current and zero voltage also. This operation creates significant turn-OFF switching loss. However, Lossless snubbers can be used in parallel with the switches to correct this problem.</p>
        <p id="p-479e4d75b121347c4c906fb588fc6e96">d. Parallel Resonant Converters. In this type of converters, the resonant tank is connected in parallel with the resonant capacitor ‘C<sub id="sub-d61c62605d8e0180ccb5fcdc7278f168">r. </sub>Circuit diagram of this converter is as shown in <xref id="xref-d18540617ad707d98a92cb684ca034f8" ref-type="fig" rid="fig-ddc9e17f1d22b8a8cd8812f369c1f3bb">Figure 22</xref>. The Converters act as voltage source.</p>
        <p id="p-aaa8eb83712c46614e831776adcd6c7a"></p>
        <fig id="fig-ddc9e17f1d22b8a8cd8812f369c1f3bb">
          <object-id id="object-id-f991b15a3d566ed09b7269c74db62723">fig-ddc9e17f1d22b8a8cd8812f369c1f3bb</object-id>
          <label>Figure 22</label>
          <caption id="caption-40a5283d544a16a52b4c4f840cd8c57d">
            <title id="title-77913fc957ff56c556f9e4d09edf01fd">Figure 22. Circuit diagram of Parallel Loaded Resonant Converter</title>
            <p id="p-25" />
          </caption>
          <graphic id="graphic-a5691f24536f409cae5bddcf4f4747e1" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/367" />
        </fig>
        <p id="p-29446511f1e8858c481fcaba7cae3119"></p>
        <p id="p-a732b29b0f3a859f34ed8abe38048122">These converters also operate in the three modes that the SLC operates.</p>
        <p id="p-52106c18286d7a18453d31cf489a191f">While designing SST, two major forms of Converter topologies are being considered. These are <xref id="xref-65821ec1e798b461cb4a6421e79fd420" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>: (i) Single Active Bridge (SAB), and (ii) Dual Active Bridge (DAB) converters.</p>
        <p id="p-37650c31661cbf351b62cb9ac5af9b7f">The SAB converters consist of two H-bridges: An active bridge at the input which converts DC to AC; and passive output bridge which performs the AC to DC conversion. The HFT isolates the two bridges <xref id="xref-7a1e9a29ad0d1922547afefa1da2b08b" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>. SAB converter circuit schematic is as shown in <xref id="xref-0658552410e77a595e56e7ef454aab1e" ref-type="fig" rid="fig-86ec3c0381f044535b649355467c74ca">Figure 23</xref>.</p>
        <p id="p-6907e109c9431ffaba8106d8039b4b25"></p>
        <fig id="fig-86ec3c0381f044535b649355467c74ca">
          <object-id id="object-id-e342ffce0e188ef9d811c52cdd40a313">fig-86ec3c0381f044535b649355467c74ca</object-id>
          <label>Figure 23</label>
          <caption id="caption-e4872deb17f7dea5f4c91d2a5b504edd">
            <title id="title-5b548586d6591f616f5fd7d6c1029faa">Figure 23. SAB Converter Circuit Diagram</title>
            <p id="p-26" />
          </caption>
          <graphic id="graphic-9490650612f9ffe1990d205dc2597042" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/368" />
        </fig>
        <p id="p-d6eb9f219b455a26d1683f0cdfe7b260"></p>
        <p id="p-b802cfdd603f967b2222a3411f3786c3">Insulated-Gate Bipolar Transistor (IGBT), Metal-Oxide Semiconductor Field Effect Transistor (MOSFET) and other semiconductor devices are used as switch (S<sub id="sub-dc4940155b5016d96faa864ef025f908">1</sub>, S<sub id="sub-253bf0ef2d3daddc1bd45dcf34695ec0">2</sub>, S<sub id="sub-34b97d526de391f9da22af78ebaec0a9">3</sub> and S<sub id="sub-4">4</sub>). In the first SST prototype by M. McMurray, Silicon (Si) bipolar transistors were used as switches. However, as at then, breakdown voltage for Si bipolar transistor was only about 100V. This and some technical reasons slow down penetration of SST in the distribution network <xref id="xref-22d878efb0baa92c0e0bceb41c620fcb" ref-type="bibr" rid="ref-2dbdf6d961d5db2ef5ffe8b1679c233d">[23]</xref>.</p>
        <p id="p-26f6c5af07260b5dff246cb38bec8928"></p>
        <fig id="fig-df8391dd3feb53c39f16ac198ed42618">
          <object-id id="object-id-ac408fb5f3302a6039b317db500b2e40">fig-df8391dd3feb53c39f16ac198ed42618</object-id>
          <label>Figure 24</label>
          <caption id="caption-0936f201384aa84dae3004af4b0dd038">
            <title id="title-07a231d79ee529794edc8459bb7cdec1">Figure 24. SAB Converter Current and Voltage Waveforms under DCM <xref id="xref-0ca4fe3427a681ba22b39f127ab7daca" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref></title>
            <p id="p-27" />
          </caption>
          <graphic id="graphic-b9d32a162f95e358713e84abdf8622b2" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/369" />
        </fig>
        <p id="p-e29258317a94401766de23d7faf61bae"></p>
        <fig id="fig-5b9264adfe68170e85cd1148a856f6f0">
          <object-id id="object-id-efa077f6de7349c7365734512be9b48d">fig-5b9264adfe68170e85cd1148a856f6f0</object-id>
          <label>Figure 25</label>
          <caption id="caption-a7b5a5552fc04fb07ea9c3eea6ccb475">
            <title id="title-996fdf93bca94c69fb68dcded75047db">Figure 25: SAB Converter Current and Voltage Waveforms under CCM <xref id="xref-20e902049e2a861d873683a1bda80b74" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref></title>
            <p id="p-28" />
          </caption>
          <graphic id="graphic-fc8cd2d8cdf640035fdfe40e41b72baf" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/370" />
        </fig>
        <p id="p-8a6374fa08df3a1a37d2474f3ff3af0a"></p>
        <p id="p-166af9bb6f9ca347a2dede5c9ace5d8c">As earlier mentioned, a converter can operate at DCM and CCM under steady-state operation condition. When SAB is subjected to operate at DCM, plot of currents and voltages are as shown in <xref id="xref-25b17890ab601a5841a60861b34ad76e" ref-type="fig" rid="fig-df8391dd3feb53c39f16ac198ed42618">Figure 24</xref>. It is observed in the <xref id="xref-2c324ccab4713e02fe50cae89ee08c91" ref-type="fig" rid="fig-df8391dd3feb53c39f16ac198ed42618">Figure 24</xref>, that currents and voltages have half-wave symmetry.</p>
        <p id="p-93fb6a234d2192c637bf8f278ce9d566">The load current ‘I<sub id="sub-5">0</sub>’, Output Voltage ‘V<sub id="sub-6">0</sub>’ and Active power P<sub id="sub-7">0</sub> at this operation of the SAB are given in the following expressions considering Figure 24 respectively <xref id="xref-e69fd1270aa7b08afc6d7c75e5b08e4b" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>.</p>
        <p id="p-ea0f1b2473b043a78d4bfc67b4f759c6"><inline-formula id="inline-formula-86aaa404cd286e05b6d61ae99736368a" content-type="math/tex"><tex-math id="tex-math-3c2ac02d1c6ea4cf07baf0d9afdf9e00">\begin{equation} I_{o,DCM}=\frac{V_{i}\pi \alpha ^{2}}{2\omega L\pi ^{2}}\left ( \frac{V_{1}}{V_{0}}-1 \right ) \tag{8} \end{equation}</tex-math></inline-formula></p>
        <p id="p-764a7b86cb4e5e3f4d24dc0129016ac3"><inline-formula id="inline-formula-2609d6c3bca54b37338c42111ad23f02" content-type="math/tex"><tex-math id="tex-math-fb629604e59af0b60f38d6aeedeb4208">\begin{equation} V_{o,DCM}=V_{i}\frac{R_{L} \alpha ^{2}}{4\pi\omega L} \left [ -1+\sqrt{1+\frac{8 \pi \omega L}{R_{L} \omega ^{2}}} \right ] \tag{9} \end{equation}</tex-math></inline-formula></p>
        <p id="p-19b105af187d861ee64a952baba18faa"><inline-formula id="inline-formula-e5ebd0fcb58302e1ac9107167875632d" content-type="math/tex"><tex-math id="tex-math-2c7f777e89da7a4737e4a2b9106ac0e8">\begin{equation} P_{o,DCM}=\frac{V_{i} V_{0} \pi \alpha ^{2}}{2 \pi ^{2} \omega L }\left ( \frac{V_{1}}{V_{0}}-1 \right ) \tag{10} \end{equation}</tex-math></inline-formula></p>
        <p id="p-ae28b0e3ceb96dbb65ecc13b87f937de">On the other hand, under CCM, the SAB voltages and currents are shown in <xref id="xref-c5d5b6389b1ce8ce04baa2b6e4a7b687" ref-type="fig" rid="fig-5b9264adfe68170e85cd1148a856f6f0">Figure 25</xref>.</p>
        <p id="p-4f7cc9d15e5665136986ce060b622aa0">Under this condition, the current shift angle is calculated as shown in the following expression.</p>
        <p id="p-480c8347ad6130c5b37cd6cbf2e2257b"><inline-formula id="inline-formula-e93d74190cdda4362c44ef211f7d577b" content-type="math/tex"><tex-math id="tex-math-45f02b9b8b004ccff9aa622f8e2f9496">\begin{equation} \varphi =\frac{\pi}{2}\left ( \frac{\alpha }{\pi}-\frac{V_{0}}{V_{1}} \right )  \tag{11} \end{equation}</tex-math></inline-formula></p>
        <p id="p-53032e78080cb1a165310c6b25a9d35e">The Load current ‘I<sub id="sub-d110063e50aeab4492e7e0ebb0765c88">0</sub>’ output voltage ‘V<sub id="sub-bd2135a30d831596c517175dbd56efb1">0</sub>’ and active power ‘P<sub id="sub-a7506716eb93feb4ac891327dc4f2aca">0</sub>’delivered under the CCM condition are given by the following expressions <xref id="xref-f643e1342a1efe2abf28ee6bc0668fb2" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>.</p>
        <p id="p-b57e4583509b3d6bb126b30da9027db0"><inline-formula id="inline-formula-66ea87da38563b0c889573d2f5adbf60" content-type="math/tex"><tex-math id="tex-math-85d4651109e0291b694baa1a09f06c38">\begin{equation} I_{o,CCM}=\frac{\pi V_{1} }{2\omega L} \left [ \frac{\alpha }{\pi}-\frac{1 }{2}\left ( \frac{\alpha}{\pi} \right )^{2}-\frac{1 }{2}\left ( \frac{V_{0}}{V}_{1} \right )^{2} \right ]  \tag{12} \end{equation}</tex-math></inline-formula></p>
        <p id="p-1b47675243223227e3a4d4beb6531e18"><inline-formula id="inline-formula-b90f38cd07eeef7bb0c7931d5980a02d" content-type="math/tex"><tex-math id="tex-math-be4ede914f4e6ed371640ad6f5cdd381">\begin{equation} V_{o,CCM}=V_{1}\frac{2 \omega l }{\pi R_{L}} \left [ -1+\sqrt{1+\left ( \frac{2\alpha}{\pi}-\frac{\alpha^{2}}{\pi^{2}} \right )^{2}\left (\frac{\pi R_{L}}{2\omega l}  \right )^{2}} \right ]  \tag{13} \end{equation}</tex-math></inline-formula></p>
        <p id="p-90ec8fbc6ed20609f2e37798ea1cfe66"><inline-formula id="inline-formula-bf7d5c9adbdb657826d2c751908a58ef" content-type="math/tex"><tex-math id="tex-math-435bb61fb621d7322171834ae141bcdf">\begin{equation} P_{o,CCM}=\frac{\pi V_{i}V_{0} }{2\omega l} \left [ \frac{\alpha }{\pi }-\frac{1}{2}\left (\frac{\alpha }{\pi }  \right )^{2}-\frac{1}{2}\left (\frac{V_{0} }{V_{i} }  \right )^{2} \right ]  \tag{14} \end{equation}</tex-math></inline-formula></p>
      </sec>
      <sec id="heading-087d6c385b4bbcc1e2dc0acccd82e7cf">
        <title>Review of high frequency transformer technology</title>
        <p id="p-a18f29f57da209a3321895e01e56ebf5">It was earlier mentioned that the SST consisted of converters at both input and output being separated by the HFT. The use of HFT to provide galvanic isolation in the development of the SST is responsible for the achievement of the low size and light weight of the SST. This was expressed in equation (4).</p>
        <p id="p-b3b3bc567fff6957f03b4ccd611c19b2">To achieve HFT some important points are to be put into considerations. These include <xref id="xref-337dc0591ea9fd4929f841055e1ca7bb" ref-type="bibr" rid="ref-2cb456699a32b98c3c54f21c2e87ff1a">[24]</xref>: (i) proper magnetic material selection to achieve the required high power density and low losses; (ii) Thermal behavior to avoid breakdown especially for high-voltage and high-power designs; (iii) the winding configuration of the HFT can significantly affect its efficiency at high frequency; (iv) Insulation requirement at high-voltage operation should be considered.</p>
        <p id="p-f8cf85b902de9264e2ca72b42096fee8">Some magnetic materials suitable for high powers and their merits and demerits are tabulated in <xref id="xref-9f0657553bffc5040aa41125f1cf8191" ref-type="table" rid="table-wrap-6a83a1a0a9bca90244502f5e3e76fdee">Table 2</xref> <xref id="xref-6ef244647e67ba4373c006a8557b9f92" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>.</p>
        <table-wrap id="table-wrap-6a83a1a0a9bca90244502f5e3e76fdee">
          <object-id id="object-id-12c4d1daa09ac4fd0e4cc7cdb33b9d29">table-wrap-6a83a1a0a9bca90244502f5e3e76fdee</object-id>
          <label>Table 2</label>
          <caption id="caption-d1a0a31357b0809c1a8ed299ab65c729">
            <title id="title-3dc255fdfbe9c010611423c72a1ef139">Table 2. Magnetic materials comparison</title>
            <p id="p-cfd86a2894d86e384fbc8594683fb889">Table caption</p>
          </caption>
          <table id="table-c6d77be088eba49857698f48d0755a1b">
            <tbody>
              <tr id="table-row-ff6dec3ca03b82483ff37e819ae1a955">
                <td id="table-cell-8f5d895a37756198e724f79ef135f139">No</td>
                <td id="table-cell-16aaff407d7da5fe3571b972307a649a">Material</td>
                <td id="table-cell-0d81835999505707732ecf538b7b2bf7">Merit</td>
                <td id="table-cell-4bbf00e56a8895c35f59364d9cee75ac">Demerit</td>
              </tr>
              <tr id="table-row-911f7362d7c79615cadbdc1fb3f1b5ca">
                <td id="table-cell-6838c9dc71ef072c19e74b4371989000">1</td>
                <td id="table-cell-8eb09934c47f4b6d1462c3b72e84009c">Si steel</td>
                <td id="table-cell-27aa0d7c9e0310fe22271582c5ee7bf3">(i) High saturation flux density
(ii) High permeability</td>
                <td id="table-cell-b598469bb5ebf9ede7257f565d57e6c4">(i) High losses at high operating frequency</td>
              </tr>
              <tr id="table-row-843fcaec612fb9c93d90c20d2206240a">
                <td id="table-cell-2543ceac2f57f58e01ee8ef69ca4489c">2</td>
                <td id="table-cell-840e3c796210c6ae0304b6c2ac2cdd43">Ferrite</td>
                <td id="table-cell-c923b312730855d01fcb1bede08077b7">(i) Moderate losses
(ii) Low cost</td>
                <td id="table-cell-054d0305ad05b7a5c123ce15c10061b0">(i) Low saturated flux density</td>
              </tr>
              <tr id="table-row-e5eb706d7e09820c885f43f247c81ef4">
                <td id="table-cell-8c70050b9197068c01b70dfaba838588">3</td>
                <td id="table-cell-6085ac00a4eed8a9223460548756a931">Fe-Amorphous alloy</td>
                <td id="table-cell-ae945460bf5461a0a192ecc77edff650">(i) Moderate saturation flux
(ii) Moderate losses</td>
                <td id="table-cell-8f300d89c9d1cd83f4690630d6cdf008" />
              </tr>
              <tr id="table-row-b723891113872b4738e8cd58032c212f">
                <td id="table-cell-6d0266a3417bb9bb9d0b766a315d0f56">4</td>
                <td id="table-cell-37bb0f47ca2f29cbde9d866cb7d19e47">Co-amorphous alloy</td>
                <td id="table-cell-0dad2a17d6976d8e5bc144f66cb3ad03">(i) Low losses</td>
                <td id="table-cell-000f339c25f5da1e6484231289cd55d1">(i) Limited saturation flux density</td>
              </tr>
              <tr id="table-row-1ca58d1dc13d15e1ca7a75281551c5fb">
                <td id="table-cell-9e136ca989416ec7e283be57e554f60a">5</td>
                <td id="table-cell-14b2b1acf3a2660ad5bd8fda52487721">Nano crystalline alloy</td>
                <td id="table-cell-df791f3da839f5bcf75211158c5d70a8">(i) High saturation flux
(ii) Low losses</td>
                <td id="table-cell-d657fd181a1d9f4596c1e080c87cda1e">(i) High cost
(ii) Limited selection of available shapes</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p id="p-5cb9b714291c2cb30bb3d342d9596a47">So far, Fe-amorphous is considered by some SST designers as the best. This is because in addition to other merits, its saturation flux density reaches 1.56T. Transformer structure has influence on power density and efficiency. Therefore, the structure choice is very important aspect of the SST design. Of the two transformer structures (solenoidal and coaxial), solenoidal is the most used because of its following advantages <xref id="xref-7730e88653283bd64a0c244622fa75cd" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>.</p>
        <list list-type="bullet" id="list-72aab66ebcb62b3dbfd2edee5d2b80d4">
          <list-item>
            <p>Easier to design</p>
          </list-item>
          <list-item>
            <p>Easier to manufacture</p>
          </list-item>
          <list-item>
            <p>Lower costs</p>
          </list-item>
        </list>
        <p id="p-7aadcea0d04846b4ab26375c709a2431">Two effects, skin and proximity effects must be put into consideration while designing an HFT. Skin effect is the tendency of an alternating electric current to distribute within a conductor such that the current density is largest near the surface of the conductor, and decreases with greater depths in the conductor.</p>
        <p id="p-3b4a9cd8754f7d18d49a4a2aad01b117">This effect is demonstrated in <xref id="xref-db221e6d765210a5f164f6bbef938946" ref-type="fig" rid="fig-dff56511cddc5d221b6b21fe71eb4a3e">Figure 26</xref>.</p>
        <p id="p-615443171f2e7d3b17a43678ba6da2a8"></p>
        <fig id="fig-dff56511cddc5d221b6b21fe71eb4a3e">
          <object-id id="object-id-aa8d02b1c56a7cfdb9ee9b164dbea034">fig-dff56511cddc5d221b6b21fe71eb4a3e</object-id>
          <label>Figure 26</label>
          <caption id="caption-a0a9c79ba84f5547abff00f27b2265ee">
            <title id="title-032a2dd8f362614ec5718d11212c7ec1">Figure 26. Skin depth in a section of a conductor <xref id="xref-d48774f51a7c3bf2798bfd10317148ca" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref></title>
            <p id="p-29" />
          </caption>
          <graphic id="graphic-6997301bf87afd0d11ff0e2870c284b1" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/371" />
        </fig>
        <p id="p-f7d0530c26a7b61e5bba86919cd68883"></p>
        <p id="p-52eacc5ac6eee783162463b14c51879c">At high frequencies, the skin depth is smaller and therefore, the skin effect causes increase in the effective resistance of the conductor, thus, reducing the effective cross sectional area of the conductor. Skin depth is the depth below the surface of the conductor at which the current density has fallen to I/e (about 37% of J) The current density ‘J’ and skin depth ‘δ’ are respectively given as follows <xref id="xref-8db8466f4c9df0e8919289f8fdc041f2" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>:</p>
        <p id="p-a3729c19f7b9b03611cfc9d5b3cb1724"><inline-formula id="inline-formula-96ff78815a0d6561cdafff86ce3a4a98" content-type="math/tex"><tex-math id="tex-math-5456470df73115a389cbfa1e788aa077">\begin{equation} J=J_{s}e^{-\frac{d}{\delta }} \tag{15} \end{equation}</tex-math></inline-formula></p>
        <p id="p-bbd8a8c25b688b316bcc6b8f479ef3ec"><inline-formula id="inline-formula-ad3e52880cb02984ea1fd23a9a7fb297" content-type="math/tex"><tex-math id="tex-math-842828e2d176042bf2db06dba0c952fa">\begin{equation} \delta =\sqrt{\frac{2\rho }{\omega \mu }} \tag{16} \end{equation}</tex-math></inline-formula></p>
        <p id="p-64df5d9e1320d38297dab84c21ef836d">Where J<sub id="sub-b7295dce45fe0fff18632c0004e44a1a">s</sub> is the current density on the surface, d is the distance from surface and ‘δ’ is the skin depth, ρ is the resistivity of the conductor and µ = µ<sub id="sub-8e2efeb86c097919b63fef0d8e31396a">0</sub> µ<sub id="sub-469fc5629cf89d5ea15477cbbad861fc">r</sub> is the permeability.</p>
        <p id="p-459540f543ff87cf3281e7a8813daaa9">Proximity effect occurs when more conductors carrying alternating current are nearby. The distribution of current within a conductor will be constrained to smaller regions if current is flowing through one or more other nearby conductors. The resulting current crowding is referred to as the proximity effect. The crowding increases effective resistance of the circuit and it increases with the increase in frequency <xref id="xref-e8d619f2df7b55356b8525ad1ba42f96" ref-type="bibr" rid="ref-2b0a7c50c825b3160d6aacd20dfa6a9c">[20]</xref>.</p>
        <p id="p-8519358e28d7361bf2afbe626495e5ab">Proximity effect is illustrated in <xref id="xref-9359cdb69537f5e58132191cea78869d" ref-type="fig" rid="fig-b9f4b2edec36ec6963fb6c26956c885a">Figure 27</xref>.</p>
        <p id="p-1f4906024c9b07d04599335fae3340cf"></p>
        <fig id="fig-b9f4b2edec36ec6963fb6c26956c885a">
          <object-id id="object-id-ba1b0d2018601d3b4f7c9c28b5d8f313">fig-b9f4b2edec36ec6963fb6c26956c885a</object-id>
          <label>Figure 27</label>
          <caption id="caption-fb8ab93c91e35cb6c452a8a51390fdac">
            <title id="title-63480ea97f756262b19c6c6af0c12ead">Figure 27. Proximity effect with opposite (a) and same (b) current directions</title>
            <p id="p-30" />
          </caption>
          <graphic id="graphic-a88f5a8536efba14e6c0bbeea4837892" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/372" />
        </fig>
        <p id="p-161f817bf349c8f69bf27e28ae4f83ad"></p>
        <p id="p-057ddb3bb0777088c6ff4b1db8259f3a">To attenuate the skin and proximity effects use of Litz wire is normally employed by the designers of HFT. Litz wire consists of many thin wire strands, individually insulated and twisted or woven together, often in several levels. <xref id="xref-70fb70ded098c67a80b7449ee5ceec34" ref-type="fig" rid="fig-84e782044f4b93a13925cd5755419387">Figure 28</xref> shows an example of Litz wire.</p>
        <p id="p-0c66b44c9651d2085b81c63a8efeb3eb"></p>
        <fig id="fig-84e782044f4b93a13925cd5755419387">
          <object-id id="object-id-f94b0692b825247978b414f493b2539f">fig-84e782044f4b93a13925cd5755419387</object-id>
          <label>Figure 28</label>
          <caption id="caption-8d898e03d04d2ad076a2ac4b5fb48f90">
            <title id="title-36dc3f3c1c7196f06f77ef7d4e4af3b7">Figure 28. Example of Litz wire</title>
            <p id="p-31" />
          </caption>
          <graphic id="graphic-02148692ebfa3650775128bdf5821b62" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/373" />
        </fig>
        <p id="p-d65cbb0cc184194a4e65c49dceb29875"></p>
        <p id="p-9d7f99e8405c5dd7d1d1e6f686f407ca">The HFT is the main component being used in the design of the SST to achieve reduction in size, volume and even cost. Many attempts have been made to optimize the HFT design for application in the SST such in Baik et al., <xref id="xref-32fb243ba4d5ff2cc1720fee60b907d4" ref-type="bibr" rid="ref-6a6509ca3631883638086eed9b933471">[25]</xref>, Ortiz et al., <xref id="xref-1216e5b750e7b1f4fec3c878a158e6e2" ref-type="bibr" rid="ref-71e3813d069ff98cb2b3e4cef5f0709c">[26]</xref>, Bahmani et al., <xref id="xref-87ca2566793361aecef562148553cbbd" ref-type="bibr" rid="ref-881d6c05e99dc68df4688c45752ea80b">[27]</xref>, Alam et al., <xref id="xref-015daad20ebb4be3cd056900cc5a670c" ref-type="bibr" rid="ref-14761251bf47ffc7f7f0a990ec1c1831">[28]</xref>, Leibl et al., <xref id="xref-9fc6b5c4a80ee6d9c0f0180bd61457fc" ref-type="bibr" rid="ref-45c4eea9270dc37843d1160d2a77f96e">[29]</xref> and Beiranvand et al., <xref id="xref-60740992844b9b5c11375612b2958134" ref-type="bibr" rid="ref-9c2cb6f19f758c2b10006efe0661bb7e">[30]</xref>.</p>
      </sec>
      <sec id="heading-2737f53c3c1b5d00c98a9d68330b3dad">
        <title>Control mechanism</title>
        <p id="heading-aff555a96b3773ab87f51fc082a7e46a" level="2">SST uses power converters in its implementation. This subsection will discuss briefly about power converters control mechanisms that are usually employed while designing SST. One of the control mechanisms for SST is a closed-loop controller. This controller in usually used in designing an SST to regulate the converter output voltage and compensate source or load disturbances. In this type of controller, the error between output voltage and its reference is minimized or eliminated. The error is the inaccuracy between actual output and the interference.</p>
        <p id="p-78808629f616548e5abb6730a0f2a176">To design a desired power converter controller, the following methodologies are adapted.</p>
        <list list-type="bullet" id="list-7e54e3908dd4e657670346feecb77df4">
          <list-item>
            <p>develop small signal model around the operating point of a steady-state</p>
          </list-item>
          <list-item>
            <p>get where the control-to-output transfer function takes place in the converter</p>
          </list-item>
          <list-item>
            <p>specify the loop gain expected depending on the design specifications</p>
          </list-item>
          <list-item>
            <p>Design controller transfer function to match the desired loop gain</p>
          </list-item>
        </list>
        <p id="p-feb2e4091dc6d77f027382862eabf528">Proportional-Integral (PI) controller is the most commonly used controller for power converters. Lead Compensator (LC) is an alternative to controller for power converter <xref id="xref-0a2c7b062f44ffc08ba6ad1702ff61ec" ref-type="bibr" rid="ref-cf72658ef3605a633af5ba0f3381b025">[31]</xref>. The compensator increases the loop-gain phase-margin. Disadvantage of the two controllers (PI and LC) which are mainly designed for a single operating point is that, they achieve only infinite gain at DC. Therefore, it is difficult to reach zero steady-state error when the disturbance or reference is an AC signal at low frequency <xref id="xref-7e54184940fec2c167c275c9ca18cf23" ref-type="bibr" rid="ref-aeb1285c6b141913845deecfa079baeb">[32]</xref>. Gain-Scheduling Control (GSC) is an improved control technique compared to PI and LC. Alternative to GSC is Adaptive Control (AdC). The AdC adjusts control parameters. To achieve better performance in GSC, on-line parameter is employed. Usually, adaptive control is employed on a system when its structure is known while its parameters are unknown or varying <xref id="xref-a220f1e6db9fa807b0b75a6d4c65961f" ref-type="bibr" rid="ref-aeb1285c6b141913845deecfa079baeb">[32]</xref> . Other nonlinear methods of power converter controller implementation are <xref id="xref-40f25ad2cb2d57781aa3c8cdb8c3e7bd" ref-type="bibr" rid="ref-5aad310ed6108cdac00346ae88840cfe">[33]</xref> : i) Back-stepping based on Lyapunov function and ii) Fuzzy logic.</p>
      </sec>
      <sec id="heading-c8030d25cf9fe29134cb4fd3add39775">
        <title>Modulation technique</title>
        <p id="p-c71202319dc937d53f3eea989f71ac01">Modulation techniques for power converters are developed in the following form <xref id="xref-92bc7bdd434a2e5ddff27e5f5c8e6de8" ref-type="bibr" rid="ref-4425dbdcb1a43bd504897b29f546d661 ref-c48f5c0bf59dda16040b1142f980a71c ref-c82d9e19c46ee1648b163baae56320e5">[34-36]</xref>.</p>
        <p id="p-2bfde7cd631ad23c34bd2b5706018a28">i. Voltage Level Based Algorithms (VLBA) – This method operates in time domain. Pulse Width Modulation (PWM) is the most used voltage level based modulation technique; this is because of its high performance, simplicity, fixed switching frequency and easy digital and analog implementation.</p>
        <p id="p-fa74dfba47af3a04264ed92a18836524">ii. Space Vector Based Algorithms (SVBA) ­– In this modulation technique, the reference voltage is represented by a reference vector. Unlike in the time domain where a phase reference is used, here reference vector is used to compute the switching times and states. In SVBA, number of redundant switching states and complexity of selecting states increase with increase in number of levels.</p>
        <p id="p-dd0c065951a80ae29e8fa9ce486c55ec">Although there are several space vector based algorithms, carrier based PWM is a dominant modulation technique in converters operations. This is because, it requires a reference signal, carrier signals, and a simple comparator for the gating signals. On the other hand, Space vector based algorithms require at least three stages: a stage to select the vectors for modulation, a stage to compute the duty cycle and a stage where the sequence for the vectors is generated. This means that the space vector algorithms have higher hardware requirements than the PWM techniques.</p>
      </sec>
      <sec id="heading-45125fbe5fb63c90f52ef64115e22892">
        <title>Filter</title>
        <p id="p-d5170ee6edc2ecf26a8350be46387e21">Filters are used at input or output stage of SST to attenuate propagation of harmonics <xref id="xref-f75c41a5052b0bf632c67cae698b01e8" ref-type="bibr" rid="ref-bad53103520c441f5dd42da7a792e4bf">[37]</xref>. A typical input or output filter is shown in <xref id="xref-45a0248c593ce26df7369fd39501fad9" ref-type="fig" rid="fig-39c653e4a12ece2d654e871419cf492e">Figure 29</xref>.</p>
        <p id="p-7e2d5ad23305cdf89eee2059036a6077"></p>
        <fig id="fig-39c653e4a12ece2d654e871419cf492e">
          <object-id id="object-id-922943c3d8e3b94fd73b245674e42645">fig-39c653e4a12ece2d654e871419cf492e</object-id>
          <label>Figure 29</label>
          <caption id="caption-a4e6e0de06ace9036dcadea96fba682a">
            <title id="title-d44483bd5ad025f36977246ca2e861c0">Figure 29. A structure typical Filter for SST <xref id="xref-0b8380b2a7ce00b8b40fa4299b6e2034" ref-type="bibr" rid="ref-bad53103520c441f5dd42da7a792e4bf">[37]</xref></title>
            <p id="p-32" />
          </caption>
          <graphic id="graphic-1722967253e98c1f7c9764655eb46da6" mime-subtype="jpeg" mimetype="image" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/29/40/374" />
        </fig>
        <p id="p-c836aa19e63a07420f01968a36af7c4f"></p>
        <p id="p-e29d81352589ae5fe51fc38e77103319">A filter for SST can either be composed of LC (Inductor, Capacitor) or LCR (Inductor, Capacitor and Resistor). In <xref id="xref-a871d9d9e540d516dc8ac59a09671c88" ref-type="fig" rid="fig-39c653e4a12ece2d654e871419cf492e">Figure 29</xref>, an LCC three order filter topology composed of LCR is shown. The LCR capability out-weighs that of the LC. This is because, the LCR can better restraint high frequency interference and can reduce gain in resonance peak point <xref id="xref-eda59432afd065f739d400892d4259bc" ref-type="bibr" rid="ref-bad53103520c441f5dd42da7a792e4bf">[37]</xref>.</p>
        <p id="p-cae421a8d257e59bd31c18d8b5f79890">Open loop transfer function of the filter in <xref id="xref-1a5ca2a795755a2a8efb2dd82ed88226" ref-type="fig" rid="fig-39c653e4a12ece2d654e871419cf492e">Figure 29</xref> is given as follows <xref id="xref-443376fc08d3f76d6e91cdcf2ed3d3f8" ref-type="bibr" rid="ref-bad53103520c441f5dd42da7a792e4bf">[37]</xref>:</p>
        <p id="p-1912d1a69718369f22a8a253a10814d1"><inline-formula id="inline-formula-35bb886e2745436f738f561c472a3611" content-type="math/tex"><tex-math id="tex-math-63e9dea0d0a60b84289fe440b22ef679">\begin{equation} G\left ( s \right )=\frac{u_{OUT\left ( s \right )}}{u_{L}\left ( s \right )}=\frac{sRC_{2}+1}{S^{3}RC_{1}C_{2}L+S^{2}\left ( C_{1}+C_{2}L \right )+SRC_{2}+1}  \tag{17} \end{equation}</tex-math></inline-formula></p>
        <p id="p-36eeaf89a41f12423fc0168f007b5d91">Usually C<sub id="sub-6dabf9d02c5260f875561420636b88d7">2</sub> equals 1/3 or 1/2C<sub id="sub-85b396458c179e68f9296ad8d722a1cb">1 </sub>. Assuming, C<sub id="sub-ce1bd7db3a1e8aed77b77bdb52426ae5">1</sub> = C<sub id="sub-4334f5e1060a817a0ca883dedf8f6df6">2</sub> = C, therefore, eqn. (21) can be simplified as follows <xref id="xref-f52aba118a62f39bfe5839a11ee41df7" ref-type="bibr" rid="ref-bad53103520c441f5dd42da7a792e4bf">[37]</xref>:</p>
        <p id="p-a5517d31bc415b3bfe3919fc0b47d3ff"><inline-formula id="inline-formula-96ac2f4798e9eb2e190f3cc07f748240" content-type="math/tex"><tex-math id="tex-math-af258e268695ac01294a5a86ba31c5d8">\begin{equation} G\left ( s \right )=\frac{u_{OUT\left ( s \right )}}{u_{L}\left ( s \right )}=\frac{sRC_{2}+1}{S^{3}RC^{2}L+2S^{2}CL+SRC+1}  \tag{18} \end{equation}</tex-math></inline-formula></p>
        <p id="p-a2e9da8bc5c02efb64fd147b1f8c4dc7">Natural oscillation frequency and damping ration can be expressed as follows considering <xref id="xref-1624078e5b877fc17203dcf1a160891f" ref-type="fig" rid="fig-39c653e4a12ece2d654e871419cf492e">Figure 29</xref> respectively <xref id="xref-8a2fa38ac366ab5ef54e9aa12a993652" ref-type="bibr" rid="ref-bad53103520c441f5dd42da7a792e4bf">[37]</xref>.</p>
        <p id="p-773dc50f552e33bef8d178e4af6e4515"><inline-formula id="inline-formula-aabbe030cc8c7562250d78a95757ff35" content-type="math/tex"><tex-math id="tex-math-5de435b3e0fb3b8f3c3656cae49bfb66">\begin{equation} \omega _{n}=\frac{1}{\sqrt{LC}}  \tag{19} \end{equation}</tex-math></inline-formula></p>
        <p id="p-14ebe4f690fc735134245aec563cf1a2"><inline-formula id="inline-formula-e3b7a1e1e4276fbed952296814778960" content-type="math/tex"><tex-math id="tex-math-f4dbe705c8cf14c8cb68126f6717b671">\begin{equation} \xi =\frac{1}{R}\sqrt{\frac{L}{C}}  \tag{20} \end{equation}</tex-math></inline-formula></p>
        <p id="p-a7adce36d4af0c89b6e670ac40c6f4f5">where, ξ, R, are damping ratio and damping resistor respective.</p>
        <p id="p-47052c906c779a597b91270dbd361e53">It can be deduced from eqn. (20) that, damping ratio is inversily proportional to damping resistor so long L and C are kept constant.</p>
        <p id="p-5c540b43828f843f0dd8e757e89f76bc">Proper choice of the damping resistor is very important in the design of the filter. This is because the resistor as it comsumps power, it affects effficiency of the SST.</p>
      </sec>
    </sec>
    <sec id="heading-5d1f592a26d812d25b0196b24dfc8f47">
      <title>Obstacle of SST to universal acceptance</title>
      <p id="heading-ddee2c336be8857131a16c6c0accef51" level="1">It is good to re-emphasize that critical need to increase energy efficiency and safety in the electrical industry is one of the major problems being faced by Electrical power industry that necessate search for solution. Other problems are: Inherent nature of renewable energy, ii) traditional monitoring schemes (e.g. SCADA) may not provide enough fidelity to adequately monitor generation.</p>
      <p id="p-e6878e10269351294e46f0cc27e5d122">In view of the foregoing problems, SST is proposed to replace LFT due to some of its advantages as enumerated earlier. However, SST does not penetrate the electric network globally. This is due to the following <xref id="xref-54a876e0b7c861bb23aa8cbae7755a05" ref-type="bibr" rid="ref-4f5a190828dbe0133482d593cd017c83">[38]</xref>:</p>
      <p id="p-7fca6b494a5ea3355330908f5475bd18">i) Reliability: LFT has been seen to be highly reliable. It operates in harsh environment. On ther other hand, SST due to use of semiconductor may not be as reliable as the LFT. This change can be significantly reduced.</p>
      <p id="p-9534e4eff48137a08318bf93390e2c92">ii) Cost : Cost is a factor that is putting more confidence in the minds of the users of electricity and the utility as regard use of LFT as against the SST. Use of semiconductors and other devices, requires huge maintenace cost. However, researchers may inprove on this area.</p>
      <p id="p-9b2dff327639d219350a97a6c9aafb23">iii) Efficiency : The National Electrical Manufacturers Association’s class 1 efficiency rating indicates that, a 30kVA LFT must have an efficiency of greater than 97.5%. A comparable SST to this LFT may have an efficiency of far less than this value. SST involves many convresion stages which sometimes reduces its overal efficiency. However, this could be a thing of the fast in a near future.</p>
    </sec>
    <sec id="heading-f031386db24d7ebc28bef75cc735f47f">
      <title>Future Research</title>
      <p id="heading-70368c5e48f37d522e3bae61fc50da74" level="1">The following are some of the areas require rigorous research to enable the SST completely replce the LFT in the electric network.</p>
      <p id="p-6c26ecfcd42ab0545f1be6be41e2b542">i) SST reliability improvement</p>
      <p id="p-4b9bd69d6b261262d45841af44115973">ii) Improvemment of SST protection</p>
      <p id="p-8bd363a782631363dbc36951a78d6287">iii) Use of Low voltage devices to improve efficiency</p>
      <p id="p-16e64763cbb58ec386867960748753af">iv) In caase of use Multi-level converters in the design of the SST, optimum number of level should be identified.</p>
      <p id="p-b2a4d9be04711a13cc5e587cc0ff2b1f">v) Possibility of enabling low loss high current MF interconnections opportunity</p>
      <p id="p-5242b9745f09bf08e96a37864581d87e">vi) Selection of propor insulation materials under MF voltage Stress.</p>
    </sec>
    <sec id="heading-ca93efe3901d5f453cd0b39641169a6e">
      <title>Conclusion</title>
      <p id="heading-8d37bf8451b7d2c131b0cd7e133a7bfa" level="1">The paper glanced in the SST technology with the view to identifying where its technology started, where is it? And how can it be improved in the future. It is evident that with the areas of cries against SST being raised by researchers resolved, the transformer can replace the LFT in the electric network.</p>
    </sec>
  </body>
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