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    <journal-meta><journal-id journal-id-type="publisher-id">jamt</journal-id><issn pub-type="epub">2686-0961</issn><publisher><publisher-name>AMTS and Faculty of Engineering - Universitas Riau</publisher-name></publisher></journal-meta><article-meta>
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      <abstract/>
    <permissions><copyright-statement>© 2023 The Author(s)</copyright-statement><copyright-year>2023</copyright-year><copyright-license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0" xml:lang="en"><license-p><inline-graphic xlink:href="https://mirrors.creativecommons.org/presskit/buttons/88x31/svg/by.svg"/>This work is published under the Creative Commons   License 4.0 (CC BY 4.0 ).</license-p></copyright-license></permissions><pub-date pub-type="epub"><day>31</day><month>08</month><year>2023</year></pub-date><history><date type="received" iso-8601-date="2023-02-25"><day>25</day><month>02</month><year>2023</year></date><date type="published" iso-8601-date="2023-08-31"><day>31</day><month>08</month><year>2023</year></date></history></article-meta>
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<body id="body">
    <sec id="heading-159f9c9ffee866879199f19bde3e94ae">
      <title>Introduction</title>
      <p id="heading-caf133b3ecbfab815c5059e2b57fc2d3">The behemoth transformer otherwise known as Low Frequency Transformer (LFT) or conventional transformer, highly efficient and reliable suffers some demerits: sensitive to harmonics, no means of power factor correction improvement, unable to be used in DC system, no protection from system disturbances etc <xref id="xref-d45793c7ee83e17473ce9fa193edf636" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735 conference-paper-ref-a11719415c7ac582f4b337d22645dbc3 journal-article-ref-a3c75afe95c8ecdcb2fb103df1c28988">[1-3]</xref> . A transformer also known as Energy Router (ER), Solid-State Transformer (SST), Intelligent Universal transformer (IUT) etc made up of power electronic devices can respond to control signals and eliminate the problems associated to the conventional transformer <xref id="xref-5d34374b848422483abf49ce02237709" ref-type="bibr" rid="conference-paper-ref-677058951ff567e0748bcaf893bed9f0 journal-article-ref-36d869c8a5bd7b5dc93df32cc7ecacdf journal-article-ref-c0d43f54ad37ebd32b5fa040fb1c6776">[4-6]</xref>.</p>
      <p id="paragraph-9617cc6a5dc49dd802ea7ad674dd67ed">The ER has been investigated to replace the LFT by use of high frequency isolated AC-AC solid state conversion techniques <xref id="xref-894b6987e66687c9b8cf194981a3fa5f" ref-type="bibr" rid="conference-paper-ref-515fd970279ef1bb6ae0117fe9955624 conference-paper-ref-38562f72741ae2843a59183ba7f935e6">[7,8]</xref>. The transformer employs the use of power electronic circuits an action that enables it to be operated at any desired frequency which is not possible with the LFT that operates only at the frequency of 50/60Hz <xref id="xref-7bb368da4c45f7958f2550c0ea07fc87" ref-type="bibr" rid="chapter-ref-1084df908b0cd96aa44f7e621df4caca">[9]</xref>. The use of high-frequency modulation makes ER reduced in volume and size compared to an LFT of the same rating <xref id="xref-503bc57ae6395febb76ebdd1f36f8231" ref-type="bibr" rid="conference-paper-ref-2c14c75fc2c7cc03eb5f198bcdb1a24c">[10]</xref>. It also allows higher utilization of magnetic core <xref id="xref-39b4185704cea41936822f1639ade6b2" ref-type="bibr" rid="chapter-ref-8014c62191e1661997f3fd2e4a364a5c">[11]</xref>. The ER allows for Bidirectional Power Flow (BPF), it: changes power characteristics such as voltage and frequency levels; enhances power quality (reactive power compensation and harmonics mitigation); provides energy economic dispatch based on communication between utility provider, end user and other transformers in the grid <xref id="xref-a5be669552c216a82d1df0fda827b24f" ref-type="bibr" rid="journal-article-ref-f792e9b3b4f21f8eac8da6fcd7254ea0 journal-article-ref-e583783a5b9e7df35b8635b135749012 journal-article-ref-ad35a9c49dcc84ae4b605378869b8caf">[12-14]</xref> . Therefore, features of the ER make it suitable for use in the just introduced smart grid <xref id="xref-0111926600e3fda7641146da4fdea9fd" ref-type="bibr" rid="journal-article-ref-c83cfefa682b959a58243e28133c9783">[15]</xref>. Applications purview of the ER is wide, ranging from Wind Farm (WF), Solar Farm (SF), Charge Station (CS), Tidal Power Plant (TPP), Tractions etc <xref id="xref-f031b926550d4cce1dd2b4619101d2b3" ref-type="bibr" rid="journal-article-ref-d5079a6e3c37f290afc3d67739d00950">[16]</xref> . Generally, ER can be used in OFF-Shore Energy Generation (OSEG), Traction Drive System (TDS), Integration of Distributed Renewable Energy Resources (DRER) and Distributed Renewable Energy Storage Systems (DRESS) <xref id="xref-c79b13aaf82addd38783ab28302d257a" ref-type="bibr" rid="journal-article-ref-b71afd071a8c3b2a6a71b8404798aa97 conference-paper-ref-4514c0ab40881064f9f8868f5f61c43c conference-paper-ref-9cafa0a8140ac266435c5ee91907d59a journal-article-ref-b7b882b5ffd3c466068347ecfbd55886 journal-article-ref-b1c7fc489c9f41112f2f6a350f17c408">[17-21]</xref> . A detailed description of the ER and some of its area of applications are presented in the paper.</p>
    </sec>
    <sec id="heading-526f4624cfb82db7232ab8f0d56769de">
      <title>Concept of ER</title>
      <p id="heading-61572346f19c68b3f37f133ccec5da83">The ER is seen to be a better candidate to meet up with requirements of the smart grid <xref id="xref-ae0787a28cd9620cc21237ce5347c230" ref-type="bibr" rid="conference-paper-ref-af9bfe16f687f9506c742c3054f4c693">[22]</xref>. An ER comprised of three main stages: A converter to produce high-frequency AC from input line frequency Alternating Current (AC) of 50/60Hz, isolation by a high/medium-frequency transformer (M/HFT), and a converter to produce AC with line frequency from AC high frequency <xref id="xref-71415c7138cba2e3f5c9201d41689104" ref-type="bibr" rid="conference-paper-ref-38562f72741ae2843a59183ba7f935e6">[8]</xref>. Additionally, the isolation barrier partitions the transformer into two parts: high voltage and low voltage parts <xref id="xref-9c8fa315e2350c38b491464a5b30e1e2" ref-type="bibr" rid="journal-article-ref-a3c75afe95c8ecdcb2fb103df1c28988">[3]</xref>. In addition to being able to perform the same functions as an LFT, ER provides a range of services as earlier mentioned. This device is introduced by various authors with different nomenclature, such as <xref id="xref-066857d5b4fd3360c866ff614ab11073" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735 conference-paper-ref-a11719415c7ac582f4b337d22645dbc3 journal-article-ref-dc147179a4f94ffeade0f2b22429e32a conference-paper-ref-979a4c50d9b78e6bbdccc16f743ebfe9 conference-paper-ref-0cc89871806eb39b323a9767485fb772">[1,2,23-25]</xref> : Electronic Transformer (ET) by McMurray in 1968, Solid-State Transformer (SST) by Brooks in 1980, Intelligent Universal Transformer (IUT) by Electric Power Research Institute (EPRI), US in 1995, Electronic Power Transformer (EPT) by Asea Brown Boveri (ABB) company in Switzerland, Power Control Centre (PCC) by Borojevic, Power Router (PR) by Wang, MEGA cube by Swiss Federal Institute of Technology (ETH) Zurich, etc. It also operates as an electronic power interface between medium voltage (MV) and low voltage (LV) <xref id="xref-b7fd913a099da36782246f96c40c9ea7" ref-type="bibr" rid="journal-article-ref-e583783a5b9e7df35b8635b135749012 journal-article-ref-29d13e03b6e9dd3cc7e41cd3739985e8 journal-article-ref-a036ca8afcab87daff43263e632b383a">[13,26,27]</xref> .</p>
    </sec>
    <sec id="heading-c6becd218685c0470db9be5e4304a0da">
      <title>Description of ER</title>
      <p id="paragraph-7de18749d7dfe8ba41afac8f1a347750">The ER is a power electronic based device that has been investigated for over two decades to replace the LFT by use of a high frequency transformer isolated AC-AC conversion technique <xref id="xref-ef975715650ec36fa0e8da1932b0e528" ref-type="bibr" rid="journal-article-ref-6e60d6dca7e13de203b6c83ef6b2f002 journal-article-ref-ecae21f0acc8899319f909185c56b96b">[28,29]</xref>. ER is a transformer composed of converters isolated by a high/medium frequency transformer <xref id="xref-183d11342278a2376833648775b93ba1" ref-type="bibr" rid="conference-paper-ref-677058951ff567e0748bcaf893bed9f0 chapter-ref-ad3acae717ee4d64b7765d766bf24567">[4,30]</xref> . The schematic of an ER is as presented in <xref id="xref-f90e297683537cd0c2c8f3b3434ea068" ref-type="fig" rid="figure-panel-040f41714aa13c0648decc2ac9b218c2">Figure 1</xref>.</p>
      <p id="paragraph-2">Basically, the operation of the ER is as follows <xref id="xref-59975d614bda136e3d25c38bda371cf3" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735">[1]</xref>:</p>
      <p id="paragraph-865256001b6973775382cfc7c716af36">i. Change the 50/60 Hz AC medium voltage to a high frequency voltage (normally in the range of several kHz to tens of kHz).</p>
      <p id="paragraph-44cc451a5b7e25e7aad873d988f69e35">ii. Step down the high frequency voltage by the use of a high frequency transformer. </p>
      <p id="paragraph-3">iii. Shape the high frequency waveform back to the desired 50/60 Hz voltage.</p>
      <p id="paragraph-bd6cb7dc18dce213abcb99e82d205fd1"/>
      <fig id="figure-panel-040f41714aa13c0648decc2ac9b218c2">
        <label>Figure 1</label>
        <caption>
          <title>Figure 1. Schematic of an ER <xref id="xref-027dbd5c9a2ac1ea3718f38d2e3de67b" ref-type="bibr" rid="conference-paper-ref-19ada6d1c3feeb38bfbe61f5b2cffbab">[31]</xref></title>
          <p id="paragraph-c544c4c48aea3aeb359ee8447cd3ca12"/>
        </caption>
        <graphic id="graphic-169e0ecf38d534877d8067f2829586ec" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1135"/>
      </fig>
      <p id="paragraph-2f81a493d2c68a6c4b78e6cbad36874e"/>
      <sec id="heading-2f41cb9163925f01ea9b7bac811349ca">
        <title>Topologies of ER</title>
        <p id="heading-8e0434c970b05a4c83ce24c58d1e1726">ER is an emerging technology that offers bi-directional power flow. It is a collection of high-powered semiconductor components (such as MOSFETs or IGBTs), high/medium-frequency transformer, offering reactive power compensation, harmonics reduction and provide a high level of flexible control in the distribution networks <xref id="xref-865758918c7221b359b27c6fce9f016d" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735">[1]</xref>. </p>
        <p id="paragraph-639110743b55ea5a9533be9a9ee77704">Different topologies of ER have been studied to improve the performance of the transformer <xref id="xref-eb83cd0e7665b168f8d23c55f2f857c2" ref-type="bibr" rid="journal-article-ref-1a20ca66ff01f4cf446d97b0230ba5f3">[32]</xref>. The possible topologies so far arrived at are classified as single stage, two stages and three stages ER as shown in <xref id="xref-90cbc8bce95aa6936a8431e1496d0477" ref-type="fig" rid="figure-panel-ea838693e330b1e1afaa8684d01b3900">Figure 2</xref>. The ER topologies are as summarized in <xref id="xref-24da57e2c3ec94fb8c8415dbe5d64ea4" ref-type="fig" rid="figure-panel-d35ae5c42d1bfeed2555311148432f3c">Figure 3</xref>.</p>
        <fig id="figure-panel-ea838693e330b1e1afaa8684d01b3900">
          <label>Figure 2</label>
          <caption>
            <title>Figure 2. Topologies of ER a) single-stage, b) two-stage with LVDC link, c) two-stage with HVDC ink, and d) three-stage <xref id="xref-cb2aef53ed922e3120869863ea0d0925" ref-type="bibr" rid="journal-article-ref-9b53e0a52c762d83364472d51c64909f">[33]</xref></title>
            <p id="paragraph-0442df7ba374d0e43e66a66f62cd13c3"/>
          </caption>
          <graphic id="graphic-ef9ece811844d09aa87d69656f1451f0" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1134"/>
        </fig>
        <p id="paragraph-bb58dfd7fa06bab63027534a449c6384"/>
        <fig id="figure-panel-d35ae5c42d1bfeed2555311148432f3c">
          <label>Figure 3</label>
          <caption>
            <title>Figure 3. General Classifications of ER</title>
            <p id="paragraph-b736b4f746dfa58970e1a731ba048292"/>
          </caption>
          <graphic id="graphic-620702e174a12b1fc9406528b31a3258" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1136"/>
        </fig>
        <p id="paragraph-b36dd9288ff68cac65cb654140d34896"/>
        <p id="paragraph-5c802794d2d80450fb253d34dd6b94be"/>
        <sec id="heading-34a21ac645894e5b74ac10964027f71e">
          <title>Single stage AC-AC ER</title>
          <p id="heading-f883780e14e6b724d32c7760a2193694">Single stage AC-AC ER as shown in <xref id="xref-6b0fb5054dd5cd695b217e51fe617e5c" ref-type="fig" rid="figure-panel-ea838693e330b1e1afaa8684d01b3900">Figure 2</xref> (a) consists of High Frequency (HF)-Link and Low Frequency (LF)-Bridge. This category of ER employs the use of a simplest control strategy; it can be an AC/AC Full bridge converter where it cannot offer the input power factor correction <xref id="xref-78571953636114f231efabb74c00b419" ref-type="bibr" rid="conference-paper-ref-ed4f424d233ded027602d138a6c4ceda">[34]</xref>. The second class of the Single stage AC-AC ER can be inform of an AC/AC Fly back where the switches are replaced to four quadrant switches which can allow the bi-polar voltage and current. Nevertheless, in this topology of the ER the number of switches is doubled to build the four quadrants. <xref id="xref-7930313c324aad6abc85f409c1821596" ref-type="fig" rid="figure-panel-39c73fcf4be080760b17efd6fab8b3df">Figure 4</xref> (a) and (b) show Full Bridge and Fly back converters respectively as AC-AC ER. The selection of which topology is to be used for the AC/AC depends on the required output power. A single stage ER circuit is the simplest compared to two and three stages and functions at lower switching frequency which means the lower switching losses and indeed higher frequency <xref id="xref-f47ceff6cb3a6e40f722e2d93ca3cc89" ref-type="bibr" rid="conference-paper-ref-2ed4d8c08a4666181348d7389b24c22c">[35]</xref>. However, it provides limited functionalities compared to the other configurations <xref id="xref-1d1896357d9343666caf91783aab874f" ref-type="bibr" rid="journal-article-ref-30db50eef58ee1da2b4c86d2113c6be2">[36]</xref>. The full schematic of a single stage AC-AC ER is as shown in <xref id="xref-6413f185c7078bc5e2b1fe734570580b" ref-type="fig" rid="figure-panel-bd377ee353f388c955602ec46381ad12">Figure 5</xref>.</p>
          <p id="paragraph-5bb98d1e829ebe98ccf7f69575fb5457"/>
          <fig id="figure-panel-39c73fcf4be080760b17efd6fab8b3df">
            <label>Figure 4</label>
            <caption>
              <title>Figure4. (a) Full Bridge Converter as AC-AC single stage ER, (b)Fly Back converter as single stage AC-AC ER</title>
              <p id="paragraph-734f95121e1f8f03f9942d31ad25c590"/>
            </caption>
            <graphic id="graphic-c91eada2dd3152fb9b6d3b62048d5407" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1137"/>
          </fig>
          <p id="paragraph-f3486e47474ee6d2a75ff7f7ae5d9ffd"/>
          <fig id="figure-panel-bd377ee353f388c955602ec46381ad12">
            <label>Figure 5</label>
            <caption>
              <title>Figure 5. Schematic of a Single stage ER <xref id="xref-ec1aef707573531423197cb3cc7bebae" ref-type="bibr" rid="journal-article-ref-1c6dad910f7302bfbd2599962e7b1d21">[37]</xref> </title>
              <p id="paragraph-93097d70b584394c74ea94653a863bca"/>
            </caption>
            <graphic id="graphic-72b9ab3e1416bbaaf8b12b800abdb46b" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1138"/>
          </fig>
          <p id="paragraph-63b07e5355cebc3d044e280b08cb90ff"/>
        </sec>
        <sec id="heading-68e8ca2c4ee31ada3cd79cef96aae438">
          <title>Two stages AC-AC ER</title>
          <p id="heading-69fec4acd385a745593fa06be5b3fef6">As shown in <xref id="xref-14b6e56c5171e6112f2c5c4aa2d42649" ref-type="fig" rid="figure-panel-ea838693e330b1e1afaa8684d01b3900">Figure 2</xref> (b), even though the two stages AC-AC ER also consists of the HF and LF links just as case was with the single state, Here the two links are separated by a Low Voltage Direct current (LVDC) link. This is because the two stages ER topology is based on AC-DC conversion stage. DC link is used in the topology, the AC-DC conversion stage could have an isolated boost converter with Pulse Width Modulation (PWM) DC-AC converter or Dual Active Bridge (DAB) with PWM AC-DC converter and in the two techniques the DC link supplies low voltage.</p>
          <p id="paragraph-6aa9fc3cadf5f2e44ee6ed56011cd11f">Furthermore, isolated boost converter consist of modulated PWM voltage at the input to obtain sinusoidal input current, this topology has a disadvantage of using two different control strategies depending on direction of power flow. Also, the DAB has to use phase shift angle modulation to obtain sinusoidal input current <xref id="xref-05112942b4bc6a8e5fa7c1da25336402" ref-type="bibr" rid="conference-paper-ref-677058951ff567e0748bcaf893bed9f0 journal-article-ref-9457ec201676c99bcc75c0310a8f49e4 journal-article-ref-588c731a7b3c0136efbfd75a2f2e0eaa">[4,38,39]</xref>. The disadvantages of this technique are high sensitivity and large ripple current. The switching losses the two and three stages ER are the same. However, three stages could offer additional functionalities compared to two stages <xref id="xref-847d23ff9d9c792c8f427dd811813bec" ref-type="bibr" rid="conference-paper-ref-2ed4d8c08a4666181348d7389b24c22c">[35]</xref> . A two stages ER can also use High voltage DC link (HVDC), if Cyclo converter is used for the AC-AC conversion with HFT <xref id="xref-2a76f80e588254c4169882cc376badbe" ref-type="bibr" rid="journal-article-ref-36d869c8a5bd7b5dc93df32cc7ecacdf">[5]</xref>. A schematic of two stages ER is as presented in <xref id="xref-048588060debb62028e2c02ddacd4ff0" ref-type="fig" rid="figure-panel-1b844c044246eee3f7dc16ef76d527df">Figure 6</xref>.</p>
          <p id="paragraph-d190aed466daf8dcb8d6ba119bf1b2ae"/>
          <fig id="figure-panel-1b844c044246eee3f7dc16ef76d527df">
            <label>Figure 6</label>
            <caption>
              <title>Figure 6. Schematic of a two stages ER <xref id="xref-428ba6e8397cd8251f64eaa47fad96e4" ref-type="bibr" rid="journal-article-ref-1c6dad910f7302bfbd2599962e7b1d21">[37]</xref> </title>
              <p id="paragraph-563c1b4eed4f02cb02fb870354c86973"/>
            </caption>
            <graphic id="graphic-439dcc89baa54249d7c328fbf064193a" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1140"/>
          </fig>
          <p id="paragraph-0c5bc67251fe56c94a1ffd352f9faed9"/>
        </sec>
        <sec id="heading-17a1cac3b28cf7b41803537220ef9091">
          <title>Three stages AC-AC ER</title>
          <p id="heading-4cc7a316600bb2e93a9669d1df27e956">The three stages ER is the most acceptable type of ER. It offers all required functionalities available with ER <xref id="xref-5ff415c0ff2181d2a6c6709747dd860e" ref-type="bibr" rid="journal-article-ref-b7b882b5ffd3c466068347ecfbd55886">[20]</xref> . It is made up of two DC links instead of one as shown in <xref id="xref-b402e24fc95653116a15485a9546e806" ref-type="fig" rid="figure-panel-ddb3635cb3e033a0e1b4b25c0cef0de9">Figure 7</xref>. it is based on either having PWM AC-DC converter and DC-DC DAB with PWM DC-AC converter or Multilevel AC-DC converter and a DC-DC Full-bridge with PWM DC-AC converter <xref id="xref-38a677452390870e8a7a7369cc89396b" ref-type="bibr" rid="conference-paper-ref-c5d5b0bc15485a4d7143d2f2b4fd3b38">[40]</xref> . The biggest demerit of this type of ER is use of large number of components. This action increases switching and static losses and consequently affects the efficiency and reliability of the ER <xref id="xref-c59c742a43c82917727fad38d02053d7" ref-type="bibr" rid="conference-paper-ref-40b01078cc6f92d1d4cba65c878270bb">[41]</xref> . This issue can be addressed by reducing number of passive elements and efficient filters at both output and input sides of the ER. The earlier could be achieved by the use of a three phase DAB converter instead of using three single stage cascaded DABs in case of a three phase ER. However, the three stage topology is the most suitable for the ER technology. This is because it offers: wide controllability; high performance; and capabilities. The added DC links decouple high voltage side from low voltage side, allowing better control of voltages and currents in both sides. This action helps to solve problem of voltage regulation included in the two stage ER and add more functionalities of the ER such under and over voltage protection <xref id="xref-04fb6535215fb11169172c60811cc69b" ref-type="bibr" rid="journal-article-ref-1a20ca66ff01f4cf446d97b0230ba5f3">[32]</xref> . Schematic of three stages ER is as shown in <xref id="xref-e6c69a8087d188604bf6c0fd3c01188e" ref-type="fig" rid="figure-panel-040f41714aa13c0648decc2ac9b218c2">Figure 1</xref> .</p>
        </sec>
      </sec>
      <sec id="heading-cfd334fd25ccd63a1d92b22a02d14dbf">
        <title>AC-DC Conversion Stage</title>
        <p id="heading-f9aaf6e954dd2df1a2108773ae0c0db2">Here, the LF grid AC voltage is converted to DC <xref id="xref-a46645b74c5cc17671dbb415056a5b46" ref-type="bibr" rid="conference-paper-ref-a11719415c7ac582f4b337d22645dbc3">[2]</xref> . An AC-DC converter is being used to connect a grid to DC link at its side <xref id="xref-d3acb5424c9e99c37b7cb0e27dae0669" ref-type="bibr" rid="chapter-ref-8014c62191e1661997f3fd2e4a364a5c">[11]</xref>. The AC voltage of low frequency of 50/60 Hz is supplied to ER. The supplied AC voltage is converted to DC type by use of power electronic converters <xref id="xref-95008babdf33bbecd2029a30c946ec14" ref-type="bibr" rid="conference-paper-ref-9cafa0a8140ac266435c5ee91907d59a">[19]</xref> . If the operating voltage of the grid is Medium i.e. it is higher than 1kV but lower than 100kV, high voltage power switches such as IGBTs and MOSFETs are being used in the design of the AC-DC converter <xref id="xref-0e9d70eb03133c64e3d3f78e399a8baf" ref-type="bibr" rid="conference-paper-ref-87bd5ca4a84cbe2fe252d593ded581a2">[42]</xref> . In some areas of applications, where weight and size are not significant, ER offers harmonic filtering by use of its AC-DC stage which employs use of a PWM converter and an in-built filter, which is much needed in the areas o application such as the existing grid system and smart grid.</p>
        <p id="paragraph-59b5a2175abda9279ef86ee0431ad732">Generally, converters are classified into two types <xref id="xref-a4077fa11cc00b0736e7f83108e95743" ref-type="bibr" rid="conference-paper-ref-c2e06821c55ad964f45c7ac9529fa5b0">[43]</xref>:</p>
        <p id="paragraph-cee4070fa9ab990cf0bfe0e2616ecb82">i. External Commutation converters – these are converters in which the energy required to turn OFF the SCRs is provided by an external power supply. </p>
        <p id="paragraph-40002fbe6f5d0a737631cad7aa9e06bf">ii. Self Commutation converters – This class of converters can be designed using GTOs, IGBTs, MOSFETs or Power transistors</p>
        <p id="paragraph-b096487ef8cdc442fbc9bb5b7b6a7b52">In the design of the ER, self commutation converters are usually being used. There are three types of self commutation converters <xref id="xref-4ec32f8c1c2dc958d1a6cf454f13ff1b" ref-type="bibr" rid="conference-paper-ref-67e149b27708336e03d938eea49a67e5">[44]</xref>: </p>
        <p id="paragraph-3e8c492ca793bc47b804517b18a7fae7">i. Voltage Source Converters (VSC) </p>
        <p id="paragraph-6b768a6f851b79951b586d621850a608">ii. Current Source Converters (CSC)</p>
        <p id="paragraph-4">iii. PWM for both VCC and CSC</p>
        <p id="paragraph-8e30794bd9f4ed844e860049fa285e2f">VSC also known as forced-commuted converters are self-commutated types of converters which connects HVAC and HVDC systems using devices suitable for high power electronic applications, such as MOSFETs and IGBTs <xref id="xref-baa3319c475c874931bc641bfc223c50" ref-type="bibr" rid="conference-paper-ref-87bd5ca4a84cbe2fe252d593ded581a2">[42]</xref> . The VSC have large capacitor on the DC side and therefore, it maintains the DC current constant. On the other hand in the CSC an inductor maintains the DC current constant <xref id="xref-ae59ac361a030f5b8163f6b2881b3031" ref-type="bibr" rid="journal-article-ref-c535ea1f0c0e6d1c577aebe9c395cc65">[45]</xref> . Schematic of VSC and CSC is as shown in <xref id="xref-6789727396bd41ade1f9b6a6a02e2b3f" ref-type="fig" rid="figure-panel-ddb3635cb3e033a0e1b4b25c0cef0de9">Figure 7</xref> .</p>
        <p id="paragraph-b935878bd53b8be5510bccad50e20d1f"/>
        <fig id="figure-panel-ddb3635cb3e033a0e1b4b25c0cef0de9">
          <label>Figure 7</label>
          <caption>
            <title>Figure 7. Schematic of a VSC</title>
            <p id="paragraph-ac3bf5af3b596005feee687865e048a2"/>
          </caption>
          <graphic id="graphic-161fa07581b23ea9af64e99f6660ff24" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1139"/>
        </fig>
        <p id="paragraph-a189bdfab703f758e7ca8f054dcb5511"/>
        <p id="paragraph-3c98ea6f40b8fc7fe9a7bd3500a0b210"/>
      </sec>
      <sec id="heading-ce9efe8c0e7136cb530fb057e7082641">
        <title>DC-DC Conversion Section</title>
        <p id="heading-943b6b06247757146eec2d6fe883824e">The DC-DC conversion section of the ER also known as isolation stage is its core unit. The DC-DC conversion section consists of three parts <xref id="xref-cf417c20be8fd00476ca01f393b59b72" ref-type="bibr" rid="journal-article-ref-afc57f1f5fa538a9ef1c84ef48ef73fe">[46]</xref>: </p>
        <p id="paragraph-2bc8d2e814a0af616d8d887b05c5e598">i. DC-AC converter; </p>
        <p id="paragraph-e24a57c384bc31a6d19774b55d3d7b3e">ii. High Frequency Transformer (HFT); </p>
        <p id="paragraph-2861f97ed21f684455d221ffcaf989ef">iii. AC-DC converter.</p>
        <p id="paragraph-16464382b16b1b7c39fa65bc7b173697">Several attempts have been made to present some topologies that can be used to set up the Isolation stage of the ER by considering peculiarities in circuit complexity, operating characteristics and performances required of the SST within which it is to be used <xref id="xref-4f41d28f3bd88758cd3c6386b04e06e5" ref-type="bibr" rid="conference-paper-ref-14634d2ee0125d18a79fc60b3981c85d">[47]</xref> . Three suitable topologies for the DC-DC conversion section are as presented in <xref id="xref-cdf99a97a8ca07ede5ddc3809ff3c3c7" ref-type="fig" rid="figure-panel-4ee35e6050e5a14e3ae5cf6dff1dfde9">Figure 8</xref> .</p>
        <p id="paragraph-b2cc3e8e0350671e22193566c32587b0"/>
        <fig id="figure-panel-4ee35e6050e5a14e3ae5cf6dff1dfde9">
          <label>Figure 8</label>
          <caption>
            <title>Figure 8. Topologies for DC-DC conversion stage of ER: a) Dual Active Bridge (DAB) converter; b) Bi-directional isolated current doubler converter; c) LLC resonant converter.</title>
            <p id="paragraph-560fd8ede141a4de2ef8db4c39ef5f6d"/>
          </caption>
          <graphic id="graphic-a40748c2f53f7fc51ba623bc84b570e1" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1141"/>
        </fig>
        <p id="paragraph-cf435bc166d7c1c2c804242b95f3cbba"/>
        <sec id="heading-f43080b1dbf046a33b87dec77e53f229">
          <title>DAB converter</title>
          <p id="heading-a0927bb314f3f130acf7df07e316956b">As in <xref id="xref-c7a990c054c427b8112309745acdf391" ref-type="fig" rid="figure-panel-4ee35e6050e5a14e3ae5cf6dff1dfde9">Figure 8</xref> (a), the DAB converter is composed of two H-bridges connected by a HFT <xref id="xref-ce1e71be5a8beaf63d079e4ed8750909" ref-type="bibr" rid="conference-paper-ref-19ada6d1c3feeb38bfbe61f5b2cffbab journal-article-ref-8010f6300d30963c1a8c243e81837a49">[31,48]</xref> . Leakage inductance of the transformer is used to store energy, which is needed for the current control in the converter <xref id="xref-e3130bb941ad746a6790d16964c433aa" ref-type="bibr" rid="conference-paper-ref-ed4f424d233ded027602d138a6c4ceda">[34]</xref> . If the leakage inductance of the HFT is too small, external inductance may be connected in series with the HFT. </p>
          <p id="paragraph-4c65cac0223406131dee31b397c7675e">The DAB converter offers the following advantages <xref id="xref-46e28df147afe97b03b0be4b6fda0c09" ref-type="bibr" rid="journal-article-ref-8010f6300d30963c1a8c243e81837a49">[48]</xref>:</p>
          <p id="paragraph-1b3e1a4d0275601df7d089f82682b7f4">i. High controllability and</p>
          <p id="paragraph-7eb15620235b1c1dc2edcc1658cc6537">ii. Good soft switching </p>
          <p id="paragraph-5e905a397ee76f6acfd710de9f83fc8e">However, the DAB converter suffers the demerit of large harmonic content in the input and output current that imposes the use of big capacitors, in particular on the secondary side, to contain the voltage to contain the voltage oscillations of the DC links <xref id="xref-3be918379b12ae28b0498e8e4fe6efae" ref-type="bibr" rid="journal-article-ref-c9d7aece1f8c473f4693f692b0975cc2">[49]</xref>. This challenge has been investigated with the view to mitigating it.</p>
        </sec>
        <sec id="heading-c813772cb06018cfdda4bc10517ebce9">
          <title>Bi-directional isolated current doubler converter</title>
          <p id="paragraph-9456f517cbcddccf22cf05ab4db05462">The only difference between DAB converter and the Bi-directional isolation current doubler converter is that in later the inductors the two upper switches of the secondary bridge are replaced by an inductor as shown in <xref id="xref-b68164db2bda62062d8b19879cd186bb" ref-type="fig" rid="figure-panel-4ee35e6050e5a14e3ae5cf6dff1dfde9">Figure 8</xref> (b). </p>
          <p id="paragraph-69b7f51e8be86de095592eefe3eb0e81">The Bi-directional isolation current doubler converter is associated with lower conduction losses and higher current controllability compared to DAB converter. However, it is associated with the following disadvantages <xref id="xref-dd8e3a7862aaf2cd109d61e625679385" ref-type="bibr" rid="journal-article-ref-5938ff286484792da40e0504c45d145e">[50]</xref> :</p>
          <p id="paragraph-15bda27c2bcfdf1099ba2aa260ffd2ac">i. The transformer must be of power rating</p>
          <p id="paragraph-84eb5970d1c48b593b8d55e0ecd6bb2b">ii. Two large inductors must be used in the secondary side </p>
          <p id="paragraph-6c10fe36233433d740d3fef08bff13bc">iii. Its operating voltage is limited.</p>
        </sec>
        <sec id="heading-53ad03c6423a429eb51840bbc938195e">
          <title>LLC resonant converter</title>
          <p id="heading-a5909b460e3e38adc3e5dcc0ab8137c5">The LLC resonant and Bi-directional isolation current doubler converters are derived from DAB converter topology <xref id="xref-5e34801452e5583ff1948f9b0484ef48" ref-type="bibr" rid="journal-article-ref-041d68caf16f933fa5d59b5f0045ef43">[51]</xref> . To form the LLC resonant converter one or more capacitor is or are connected in series or in parallel to the leakage inductances of the HFT <xref id="xref-1d56dc474f8873ee4ed486ce0c3bcf6f" ref-type="bibr" rid="journal-article-ref-15c7129f2dccededdbb101ada31d83c8">[52]</xref> . Because of the resonance, Current in AC link is quasi-sinusoidal and switches commutate with lower losses because of the resonance in this type of converter. Consequently, higher power density and higher operating frequency are attained compared to DAB converter <xref id="xref-8a1496352349baee1a51662b5a41be55" ref-type="bibr" rid="journal-article-ref-15c7129f2dccededdbb101ada31d83c8">[52]</xref>. Moreover, the additional capacitor filters the DC content of the primary current in being filtered by an additional capacitor of the design of the converter. This action enables avoidance of saturation of core of HFT. The disadvantages of LLC resonant converter are:</p>
          <p id="paragraph-bd574f2de9bd6cde4479871cb3b8663a">i. Design of LLC resonant converter requires use of large inductors and capacitances and </p>
          <p id="paragraph-6c5d0deadaafc7dc19ccf3962ee64e76">ii. The converter is high sensitive to variation of H-bridge switching frequency.</p>
        </sec>
        <sec id="heading-24d9fb6d8dc49ddf18c2731e9c6874d3">
          <title>High frequency transformer</title>
          <p id="heading-087dd05bb94eb7a346f3b89a7637e3ba">The High Frequency Transformer<bold id="bold-1"> (</bold>HFT) is one of the main components of DC-DC conversion section, and a major component in the design of ER <xref id="xref-85ce6a658990977d575c6e1848368ac1" ref-type="bibr" rid="journal-article-ref-9457ec201676c99bcc75c0310a8f49e4">[38]</xref> . The use of the HFT accounts for the reduction in size and weight <xref id="xref-328d86d7c1e53ef9b27d339672e21fac" ref-type="bibr" rid="journal-article-ref-a592ccbab895029a729fe25d5512e514">[53]</xref> . Design of HFT is made a bit difficult because of the requirement about power, operating frequency, and, voltage in case of MV grid <xref id="xref-868e5638897ce9ea756b0f93b1b57dff" ref-type="bibr" rid="conference-paper-ref-53afef9f4ea3f780b09ed3868f5c83b2">[54]</xref> . The magnetic materials used in LFT are not suitable to achieve high power and low losses at high frequency because of <xref id="xref-1b00e7278d8b74d28fae72fde9a91cd5" ref-type="bibr" rid="journal-article-ref-052e514f977773947f87bf26cb9ebc63 journal-article-ref-5624386ec4bda28c50de822628a22a92">[55,56]</xref> : </p>
          <p id="paragraph-8421ee29a5386875aec6e14a4823b22f">i. Hysteresis Losses (HLs) – the reversal magnetization in the transformer core generates HLs. The HLs which depend on magnetic characteristics of material used while designing a core are proportional to the frequency. </p>
          <p id="paragraph-3cf070927e8101b082376619b4efae62">ii. Eddy Current Losses (ECLs) – The ECLs are produced by currents generated by the voltage induced by variable magnetic flux density which circulate in the core. ECLs are proportional to the frequency and square of the flux density magnitude. Core lamination can reduce ECLs at industrial frequency. This technique, however, becomes impracticable At high frequency materials with high resistivity must be selected for the core as lamination of the core cannot mitigate the ECLs.</p>
          <p id="paragraph-180cddb89954bea354383f7bbe7ebf4a">Some magnetic materials being used in the design of power transformers are: ferrite, silicon still, amorphous and nano-crystalline. The following should be taken into account while selecting best material for the given application <xref id="xref-da89b09f6282918b462873f69f770191" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735 conference-paper-ref-da6a1205fe2329f9d867b5a4beefa4f0">[1,57]</xref> :</p>
          <p id="paragraph-ece2c2752f63d90583b49f468442d6d9">i. Characteristics of saturation flux density of the material</p>
          <p id="paragraph-14c4e5773715124f0cc342efada61e95">ii. Curie temperature and </p>
          <p id="paragraph-290c4541ac1be3f0a622fb7327ad4240">iii. Maximum operating temperature.</p>
        </sec>
      </sec>
      <sec id="heading-32c8b7436dd46f5a8103da792e8ce551">
        <title>DC-AC Conversion Section</title>
        <p id="heading-bf34aba1f67ca6825c8ead9afd7a701e">At DC-AC conversion section as shown in <xref id="xref-e3296e37db6acc6a87e5273eb9c52b9e" ref-type="fig" rid="figure-panel-040f41714aa13c0648decc2ac9b218c2">Figure 1</xref> , the ER performs its last function which is to change output DC voltage, sustained by the DC-DC converter, in to AC voltage <xref id="xref-bdfef908c2f8ca16f1ad165785f45225" ref-type="bibr" rid="journal-article-ref-fbdf53e0395734cd6b2a815aaebb268c">[58]</xref> . At this conversion stage low voltage is involved, irrespective of the grid operating voltage. Some of the commonly used topologies in the DC-AC conversion stage are <xref id="xref-0dab8b0807037c187f9588565d1b34b6" ref-type="bibr" rid="journal-article-ref-1a20ca66ff01f4cf446d97b0230ba5f3">[32]</xref>:</p>
        <p id="paragraph-17a78e1552e53faef45da672e25b015d">i. Half bridge and</p>
        <p id="paragraph-af5d1d00440a98efd5cfa61f0e93adea">ii. Full bridge converters. </p>
        <p id="paragraph-14795e46983134aced3f8a22789f5c3d">If required, the half bridge or full bridge converters may be connected in parallel to form multi-phase converters as shown in <xref id="xref-19f159428c444b90f1aea4b3c14348fb" ref-type="fig" rid="figure-panel-3511a82e883f1b7a47c5dc20dfe77c5d">Figure 9</xref> .</p>
        <p id="paragraph-ff531fb933d1eb2638645c194650b616"/>
        <fig id="figure-panel-3511a82e883f1b7a47c5dc20dfe77c5d">
          <label>Figure 9</label>
          <caption>
            <title>Figure 9. Schematic of DC-AC Converters: a) Single-Phase half bridge; b) Single phase full bridge; and c) Three-phase half bridge </title>
            <p id="paragraph-e8ecbcbd3f32e1f0ce828f222eb7d8c9"/>
          </caption>
          <graphic id="graphic-894f1c114d80e933bbb5b9325c573423" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1143"/>
        </fig>
        <p id="paragraph-8988ccf52a294d18769340de0436fb99"/>
      </sec>
    </sec>
    <sec id="heading-f62a088af107aa32c4c7e515e359ede2">
      <title>Comparison of LFT and ER</title>
      <p id="paragraph-e6b3d7b2e820b88d32eabea4006c4b9d">The following advantages and disadvantages are identified with the LFT.</p>
      <sec id="heading-0f989d8bd3f0c1962abb66992e7d8871">
        <title>Advantages of LFT</title>
        <p id="heading-0356b4a1bd74ba935a9662b99deb30e0">LFT provides a cheap and efficient method to convert voltage and provide galvanic insulation since its invention in 1880s <xref id="xref-bbe54c77df5ae6560cc9fe62847da886" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735">[1]</xref>. Some advantages of the LFT are <xref id="xref-588885a7e279ea692b4275187ff7c44b" ref-type="bibr" rid="journal-article-ref-c0d43f54ad37ebd32b5fa040fb1c6776">[6]</xref>:</p>
        <p id="paragraph-ca9682fe49d410f7d3682f573b7792df">i. Simple structure </p>
        <p id="paragraph-8e87ffcc4bdfc2e7d4da6adde0b71fde">ii. High reliability</p>
        <p id="paragraph-bb608b1bd597b4dc50e73c0ab7537531">iii. High efficiency of about 100%</p>
      </sec>
      <sec id="heading-9c25b4af2c65d500002c2438fda1ae27">
        <title>Disadvantages of LFT</title>
        <p id="paragraph-fbf6f6147dc49a110f9ce9956865c277">However, despite the widespread use of the LFT in the power system due to its identified advantages, it has the following disadvantages <xref id="xref-79e96365e2d33789eb2ab7ec2ce50d4b" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735 conference-paper-ref-a11719415c7ac582f4b337d22645dbc3 journal-article-ref-29d13e03b6e9dd3cc7e41cd3739985e8">[1,2,26]</xref> :</p>
        <p id="paragraph-3411fd84ab15b70b9a53f6b607f37c67">i. It made of high volume and weight </p>
        <p id="paragraph-0e5398ba7d31d9679e246a28f5811180">ii. It is associated with concern on oil use and related environmental issues</p>
        <p id="paragraph-5e3dd7099990e13fb064dfb6d1f5cdd8">iii. It involves core saturation and produces harmonic </p>
        <p id="paragraph-fb647dab5c61296094af15379f2e659a">iv. Any unwanted change(s) in the input directly affect the output voltage.</p>
        <p id="paragraph-5">v. Output current of LFT affects its input current. </p>
        <p id="paragraph-6">vi. It is increases losses as it works at approximately 30% of its appraised load.</p>
        <p id="paragraph-7">vii. It gives losses at no-load </p>
        <p id="paragraph-8">viii. Most LFTs have voltage regulation problems. Etc.</p>
      </sec>
      <sec id="heading-ad82be8ac8db36f903da3fcb2f769ffd">
        <title>Advantages of ER</title>
        <p id="heading-b3920bff46bbc65f72bdadac37bfef40">ERs have several advantages which make it suitable to replace LFT in the grid. Some of the advantages include <xref id="xref-82083f9dc674a4d149886a8ae54fd36c" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735 conference-paper-ref-a11719415c7ac582f4b337d22645dbc3 conference-paper-ref-c05afae3f831b02f85c213e6bcc72a7e">[1,2,59]</xref>:</p>
        <p id="paragraph-e8a2a0596d6469fc4df6e009e224780f">i. Volume and weight reduction due to use of high-frequency transformer. The size and frequency of the ER are inversely proportionally related.</p>
        <p id="paragraph-2424ea6c15fe633a4b9e1222bcf59378">ii. It enables power factor correction </p>
        <p id="paragraph-1cb218f12404edacd81684e3f5bb6f91">iii. It can operate as an islanding </p>
        <p id="paragraph-bd9941f550dc026386aaac6147660d08">iv. It is made with high controllability strategy</p>
        <p id="paragraph-391299cfdd83031e4b7d507a01eed452">v. It can instantaneously regulate voltage </p>
        <p id="paragraph-0ae12b92d8a7c0666057a6a10ab3fcff">vi. It improve sag and swell voltage </p>
        <p id="paragraph-e4230247d884574108b7e0da56d936b0">vii. The output of ER can be in different frequencies and phases different from the input. </p>
        <p id="paragraph-c703f6acc95cad2763de5d07a35158d9">viii. It is possible to have DC line as input or output. </p>
        <p id="paragraph-9">ix. It can isolate fault </p>
        <p id="paragraph-10">x. Possibility separate active and reactive power flow control is available with ER</p>
        <p id="paragraph-11">xi. It can control fault current in primary and secondary sides</p>
        <p id="paragraph-12">xii. It is able to preserve the output power for a limited cycle via DC link capacitor.</p>
      </sec>
      <sec id="heading-a0ccf4993ccca1f129bd169cde853c11">
        <title>Disadvantages of ER</title>
        <p id="paragraph-8e94162fd256c58c319b49be9fb6d48f">In spite of the many advantages of ER as earlier mentioned still some problems hinders general acceptance to completely replace the LFT. Most of the problems with the ER are due to its emerging and its manufacturing technology. Researchers have been ongoing to resolve most if not all of the problems <xref id="xref-608e57c49c11d0abb4f47c5b391aa233" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735">[1]</xref>. Some of the disadvantages identified with the ER are as follows <xref id="xref-fa0e4feec1b889fce36f2492bdcc5620" ref-type="bibr" rid="journal-article-ref-d5079a6e3c37f290afc3d67739d00950 conference-paper-ref-3e1aec8ee4915f6eab95694fd8b09877 article-ref-223215940e5713c305b24f7e34f1b9c9">[16,60,61]</xref> :</p>
        <p id="paragraph-c9c4fa54870d53c988e7afcb9f2f4286">i. ER is more expensive than LFT of the same rating. However, the cost of ER is expected to drastically decrease with rapid advances in power electronics technology. Furthermore, the increase in the price of copper and electrical steel sheets increases the cost of LFT.</p>
        <p id="paragraph-c0ce97a63fe1c611ad23d4dac1536c92">ii. The reliability of LFT is high and therefore, can be used in harsh environmental conditions. The complex structure of ER makes its reliability lower than that of the LFT. However, the reliability of ER will be improved with the progress being recorded in power electronic semiconductor technology. </p>
        <p id="paragraph-acf8bcf7e2e1eb5ba719ef8e8082d061">iii. It is difficult to easily compare efficiency of LFT and that of the ER. The LFT efficiency is very high, about 98.5% to 99.5%, while the SST efficiency has been stated in various articles to be around 90% to 95.1%. Although the efficiency of early generation SSTs is lower than that of LFT, it is unclear what the efficiency of SST will be in the future as efforts are being made to improve it. </p>
      </sec>
    </sec>
    <sec id="heading-1be38a9bb3cd3642f5ba5ce03acd1002">
      <title>LFT and ER Functions Comparison in Smart Grid</title>
      <p id="heading-d175bf97e6e3d2c95dccb2679f97421e">LFT has been investigated since introduction to be improved upon. However, at present, any effort to improve it will yield little or no result. This is because, its main principle remain the same for a very long period of time <xref id="xref-260ac937030ab4cb89117c8c982c4c73" ref-type="bibr" rid="conference-paper-ref-515fd970279ef1bb6ae0117fe9955624">[7]</xref> . On the other hand, some of the numerous advantages of ER as enumerated earlier will make it stand a better chance to be used in the smart grid instead of the LFT which can never be changed from its basic principle to accommodate the SG’s requirements <xref id="xref-6b06d31e179cb4d7ed73cb7194a98371" ref-type="bibr" rid="journal-article-ref-c0d43f54ad37ebd32b5fa040fb1c6776">[6]</xref>. The introduction of concept of bi-directional power transmission is possible in the smart grid by use of ER <xref id="xref-0bce920deac420f3fbee8b3e2ebf981f" ref-type="bibr" rid="conference-paper-ref-687ff3c8185a15af1ab3ac3c2f65486f">[62]</xref>. At present, distribution networks and Medium Voltage (MV) network are linked together through a passive magnetic core (LFT) <xref id="xref-225863e8d51f4d83a4a9a2431f8339da" ref-type="bibr" rid="journal-article-ref-a2a7f64a3512bc1183729c78c54d4a96">[63]</xref> . By the design of LFT, any disturbance in the distribution network affects the MV network, and consequently, other safe networks are unnecessary affected <xref id="xref-92fdc10d0f0d68a3f4d501240c28f1c8" ref-type="bibr" rid="conference-paper-ref-a11719415c7ac582f4b337d22645dbc3">[2]</xref> . In a smart grid, if conventional LFT is used, integration of Distributed Renewable Energy Sources (DRESs) and Distributed Renewable Energy Storage Systems (DRESSs) is not possible. This is because many problems such as voltage instability, protection failure, unintentional islanding, etc will come up <xref id="xref-53b7b975a90dbab6cd74fca3f381b7a7" ref-type="bibr" rid="journal-article-ref-c0d43f54ad37ebd32b5fa040fb1c6776">[6]</xref> Replacing LFTs with ERs will provide solution to the earlier mentioned problems. Because the ER can solve the listed problems in the distribution network by facilitating controlled bi-directional distribution of active and reactive powers, and provision of a robust DC bus to isolate the disturbance on its both sides of the <xref id="xref-c171b5eca9766ec2a28d632405dfbe8b" ref-type="bibr" rid="journal-article-ref-6f557636bb6b9072e5b856fc875a7fe9">[64]</xref>.</p>
    </sec>
    <sec id="heading-8645913b9cc509ca29778cd607a67af2">
      <title>Areas of Application of ER</title>
      <p id="paragraph-e7d88f971412ed65d80d1831b7fb030d">Due to the advantages of ER of flexibility, control and means of communication among others, it can replace LFT in electrical power system <xref id="xref-19ca796c063f013d6532539654007962" ref-type="bibr" rid="journal-article-ref-afc57f1f5fa538a9ef1c84ef48ef73fe conference-paper-ref-d45c133bdc7bd0988298cbea8d0eacb9">[46,65]</xref> . The ER is considered as an AC- AC converter. Furthermore, additional functionalities provided by the ER indicate that it is really a smart transformer. <xref id="xref-2d1a0f05b37dad0d03438b10a173bcd1" ref-type="bibr" rid="journal-article-ref-588c731a7b3c0136efbfd75a2f2e0eaa">[39]</xref> . The use of power electronics control by the ER makes it superior over the LFT. Meanwhile, availability of DC and AC ports in the ER makes interface of both AC and DC type of DRERs and DRESSs possible. Provision of this function makes ER very promising in the smart grid network <xref id="xref-3729340c4983288202ac6b5a70011bda" ref-type="bibr" rid="journal-article-ref-d5079a6e3c37f290afc3d67739d00950 journal-article-ref-a2a7f64a3512bc1183729c78c54d4a96 conference-paper-ref-af9bfe16f687f9506c742c3054f4c693 chapter-ref-8014c62191e1661997f3fd2e4a364a5c">[11,16,22,63]</xref> . By the fact that the volume of the transformer is inversely proportional to the frequency increases, the volume and weight of an ER are smaller compared to those of the LFT. Consequently, ER concept is very attractive in weight-sensitive applications such as shipboard power systems <xref id="xref-791b93f3240bf4c7cc745ea08bc9fb9a" ref-type="bibr" rid="journal-article-ref-c4369869687cffc708103c26b0d66e4b journal-article-ref-2f9d9d3689cce4271331f1ba1336bc6b">[66,67]</xref> . Some of the areas of applications of ER are as shown in <xref id="xref-882732c60872f977fbee5db92720c97e" ref-type="fig" rid="figure-panel-332ea1dd6e3ce81290dcb28773bf78ff">Figure 10</xref>.</p>
      <p id="paragraph-33e416efacc99518b26ce6ff5086d3f3"/>
      <fig id="figure-panel-332ea1dd6e3ce81290dcb28773bf78ff">
        <label>Figure 10</label>
        <caption>
          <title>Figure 10. Potential Applications of ER in Smart Grid (26)</title>
          <p id="paragraph-21e0ddbf3dd314614b95c9b016743daf"/>
        </caption>
        <graphic id="graphic-3ca562cdc6392868592819610197db55" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1142"/>
      </fig>
      <p id="paragraph-4046145905cbcee0d4c24e13077389e3"/>
      <p id="paragraph-ee4120c2a4224b69dc8c6e7f2d442bf4">Some of the areas of applications of ER are discussed as follows <xref id="xref-f889ec9f48d479157e44dc2f602849ad" ref-type="bibr" rid="journal-article-ref-c0d43f54ad37ebd32b5fa040fb1c6776 conference-paper-ref-38562f72741ae2843a59183ba7f935e6 journal-article-ref-e583783a5b9e7df35b8635b135749012 journal-article-ref-1c6dad910f7302bfbd2599962e7b1d21 journal-article-ref-fbdf53e0395734cd6b2a815aaebb268c journal-article-ref-352ecf4ad65d8212e932f0b4b7d1f869 journal-article-ref-dd1c759dafb1bef59a1e9f87453c2517">[6,8,13,37,58,68,69]</xref> .</p>
      <sec id="heading-8118f305ab0cb6e055af8dc97ff7d831">
        <title>Offshore Energy Generation</title>
        <p id="heading-a0f6bf881ea02d7dc2f160ad602c0520">With the ER DC-DC application is possible. <xref id="xref-420474cca8c7417be3f019f029533076" ref-type="fig" rid="figure-panel-ac850289244996616d5038727a868be7">Figure 11</xref> presents a DC Offshore grid. Conventional LFT are necessary for galvanic isolation and substantial voltage step up/down within a network <xref id="xref-3233ea8a975601536950f5ad1e88c077" ref-type="bibr" rid="journal-article-ref-a77edf347e412958615dca067f3b7b85">[70]</xref> . An LFT, however, requires an AC voltage to work. Therefore, DC-AC and AC-DC conversions are required <xref id="xref-1b8b9e62f56a1913986b8c5e61f261db" ref-type="bibr" rid="journal-article-ref-83b4a034388547760deda1ef83c50703">[71]</xref> . Also transformer operating frequency can be modified. After the AC-DC conversion an inverter will be necessary to convert the DC voltage into AC. </p>
        <p id="paragraph-6d775ee71b22681b18a2c7143660c636">Lesser weight and volume of ERs will be useful in offshore energy generation. This action will make the offshore platform smaller and cheaper. In addition, achievement of unity power factor is possible with the ER. This action increases power transfer efficiency <xref id="xref-587c2357221be83c02ca64fa04534271" ref-type="bibr" rid="chapter-ref-8014c62191e1661997f3fd2e4a364a5c">[11]</xref>.</p>
        <p id="paragraph-0df265a3f7c28be1e3aafb9e207d1cdf"/>
        <fig id="figure-panel-ac850289244996616d5038727a868be7">
          <label>Figure 11</label>
          <caption>
            <title>Figure 11.  Offshore wind farm DC collection grid (26)</title>
            <p id="paragraph-1743cf1a4e668714a33f0acd3c23b98e"/>
          </caption>
          <graphic id="graphic-c8aecaf011a9b0502e52ff6692415eb5" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1135"/>
        </fig>
        <p id="paragraph-9e9a62dc315fa83076453e5ffe427c58">A clear presentation of the wind energy conversion using ER is as presented in <xref id="xref-0108cf5b5cf72d81e0e2605bbf553468" ref-type="fig" rid="figure-panel-9dc21ea05342a6357896a627057f701d">Figure 12</xref> .</p>
        <p id="paragraph-4a9792a7b14a0c6f0e61d54797ce0181"/>
        <fig id="figure-panel-9dc21ea05342a6357896a627057f701d">
          <label>Figure 12</label>
          <caption>
            <title>Figure 12.<bold id="bold-b4471ee618d22d2ab9237adf5fc57e9b"> </bold>An induction generator-based wind energy conversion system using ER (26)</title>
            <p id="paragraph-366f13c6fff6612c16ed6bad2057b29f"/>
          </caption>
          <graphic id="graphic-41189276c076391b99adff30cd9daa34" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1134"/>
        </fig>
      </sec>
      <sec id="heading-38c163c6e6cddfe0e63103a3beec44bd">
        <title>Locomotive and Other Traction System</title>
        <p id="paragraph-a4bbfcba0ec719a09e56c0f3e9b8592a">ERs have been used in traction technology by ABB and other companies and researchers. In 2011 ABB company presented world’s first ever 1.2MVA ER as shown in <xref id="xref-6320b008965a5172b39c833c9cfd0d63" ref-type="fig" rid="figure-panel-5e898bb4af29f3c569c5e71440a09ee3">Figure 13</xref> . If in a traction conventional LFT with back-back converter is used, ER can replace the as shown in <xref id="xref-fc9e35fb87a5fa5c4e4e767ce6918b7d" ref-type="fig" rid="figure-panel-d39bb4ee0fcd5b7763a8789a6d55658e">Figure 14</xref>  (a).</p>
        <p id="paragraph-8b59a93e16832f12f33a2d5329cd6fd4"/>
        <fig id="figure-panel-5e898bb4af29f3c569c5e71440a09ee3">
          <label>Figure 13</label>
          <caption>
            <title>Figure 13. ABB ER Prototype in 2011 (65)</title>
            <p id="paragraph-15a33490db340dd23b698e905c1c69e4"/>
          </caption>
          <graphic id="graphic-9d70a48efd9340756dc784544bb66315" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1136"/>
        </fig>
        <p id="paragraph-b1311b8dc37a1bb238de1f9106f38957"/>
        <p id="paragraph-5bb75b28f7df838fd0599cb970ae4161">In <xref id="xref-94fd424c1bcf81bf6c223fa138d71066" ref-type="fig" rid="figure-panel-d39bb4ee0fcd5b7763a8789a6d55658e">Figure 14</xref> (b), ER replaced LFT and provides voltage insulation and voltage adaptation. The efficiency in this scenario is increased from 90.5 to more than 95%. Furthermore, the replacement enables achievement of significant reduction in size and weight of the system. Size reduction in traction system is very important as it could offer more passenger places.</p>
        <p id="paragraph-1abf5b5ce8c72e007a9cf5f18e4b73ac"/>
        <fig id="figure-panel-d39bb4ee0fcd5b7763a8789a6d55658e">
          <label>Figure 14</label>
          <caption>
            <title>Figure 14. Application of ER in Traction: a) Traction chain using LFT; and b) Traction chain using ER.</title>
            <p id="paragraph-ed7a44770441870450838e9b0b4a11ce"/>
          </caption>
          <graphic id="graphic-32df82bee4e7609ef4040ad71031bd41" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1137"/>
        </fig>
        <p id="paragraph-d7cac86bfc5c89fed55f1e3406871455"/>
        <p id="paragraph-6059fdf2ac423939300a45bf0e9bf495"/>
      </sec>
      <sec id="heading-c2bbef3457595710c4f2ae8189bc4023">
        <title>Distribution Network</title>
        <p id="heading-8ae3389f82f6ce88b5b0dbb4230ccd82">ER can be used to solve some of the challenges associated with the LFT in the distribution systems <xref id="xref-76d0d8e11b171cc90acadf0909044be6" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735">[1]</xref>. LFT has been used since 1887 when the AC system is introduced. The LFT basic design did not significantly change in recent time. However, some modifications were introduced to solve some problems in the network <xref id="xref-f069c8d5d0dc2ef5f36bd711a31e5501" ref-type="bibr" rid="conference-paper-ref-a11719415c7ac582f4b337d22645dbc3">[2]</xref> . These modifications were:</p>
        <p id="paragraph-0bb2e19e3dc240c850eecb2e7ad8efbd">i. Use of Auto-Tap-Changer and voltage regulation transformer to provide solution to the problem of mutual contact between input and output voltages; </p>
        <p id="paragraph-9db55b798a9cae851c8d9932af8387eb">ii. Use of FACTS to improve power quality; change the standard of the design of distribution transformer to work for a maximum efficiency at 50% loading. This contradicts the known design tradition of the transformer of operation at highest efficiency while working at about 100% loading. </p>
        <p id="paragraph-27e7d602075d25b9c973e68a4192f48f">ER has the capability to counter many problems associated with the LFT. These problems include but not limited to:</p>
        <sec id="heading-e463d73b82cec2ea120b1f46e71b16a9">
          <title>Power quality</title>
          <p id="heading-c281ef2549511c7fdc88dd2479b59052">Considering <xref id="xref-d567a47238d50d960c6cbf5a60b8380c" ref-type="fig" rid="figure-panel-040f41714aa13c0648decc2ac9b218c2">Figure 1</xref> , the LV and MV are connected together via power electronic based converters. The involvement of the converters that facilitate the separation of the two voltages will bring about improvement of the power quality at the LV part <xref id="xref-bc0646ec577fc045f183266036eabca7" ref-type="bibr" rid="conference-paper-ref-687ff3c8185a15af1ab3ac3c2f65486f">[62]</xref> . In the two and three stages topologies of the ER as discussed earlier, the output voltage is supplied by DC energy storage capacitor otherwise known as DC link capacitor. This action prevents the LV from any sag or dip initiated at the MV part <xref id="xref-ae2776185948aba2d7d8e13684836869" ref-type="bibr" rid="journal-article-ref-481a71dece93124f451e7f76a69b0735">[1]</xref>. Moreover, the AC-DC converter input voltages are output voltages of the control loop. A range of load regulates the control loop. This action results in an perfect voltage regulation <xref id="xref-156a13cbab629ff8f6bf38d28e165c25" ref-type="bibr" rid="book-ref-11b558920249f22b7b7a7e1c8bdffc33">[72]</xref>.</p>
        </sec>
        <sec id="heading-f0a32e578ad5edebd40c3b3335bb7512">
          <title>Protection</title>
          <p id="paragraph-2d4a4c12dab699c7330bb4b8ffa90f1c">ER utilizes control strategy to control magnitudes of the input and output voltages. These parameters were sensed and monitored. At first, when any fault occurs the ER will work as a relay in the system, and DC-AC could complete supplying the other phases in case of any fault along any single phase <xref id="xref-6f4068230cbcc408b97a85242327817b" ref-type="bibr" rid="conference-paper-ref-19ada6d1c3feeb38bfbe61f5b2cffbab">[31]</xref>. Furthermore, when fault current occurs in the LV side which is connected to consumers, ER will serve as a fence, thereby preventing the primary side from being affected as controllers will automatically decrease the output voltage increased by the occurrence of fault current thereby limiting the power flow into ER <xref id="xref-58c2213dd99e0569fd5b56b02e567ccb" ref-type="bibr" rid="journal-article-ref-6e60d6dca7e13de203b6c83ef6b2f002">[28]</xref>. This further explains additional advantages of ER over LFT in terms of protection.</p>
        </sec>
        <sec id="heading-887f2f1659ad0d46a98c5267359bc153">
          <title>Communication</title>
          <p id="paragraph-57501076215b130da6c0358368e85461">The essence of the idea to retrofit the conventional grid with the smart grid is to achieve online communication so that decisions could be made automatically <xref id="xref-9b36971963d3b45c5feda8b6e7b4a6cf" ref-type="bibr" rid="journal-article-ref-23ffe34175f886f817a6632218ae81d1">[73]</xref> . This is achieved by use of control system strategy with the power electronic devices in the grid. The act of delivering information of the system during faults condition as one of the functions of ER, automatically control its certain outputs in relation to the saved information. ER enables automatic control of output power during different load conditions <xref id="xref-bac138328dc74371544fdc2bd883ff88" ref-type="bibr" rid="chapter-ref-8014c62191e1661997f3fd2e4a364a5c">[11]</xref> . Some of the areas of application of the ER in the Distribution grid are as illustrated in <xref id="xref-4115ec0d5dd5b7041b29f2b865b4399e" ref-type="fig" rid="figure-panel-3730ad931ca43fea1664a9095fb0eaec">Figure 15</xref> .</p>
          <p id="paragraph-41c6ee9d47fdb30f13fa0badf3f70134"/>
          <fig id="figure-panel-3730ad931ca43fea1664a9095fb0eaec">
            <label>Figure 15</label>
            <caption>
              <title>Figure 15. Potential Applications of ER in Distribution grid <xref id="xref-595b36da3b8477d74c5daf46175dbdbf" ref-type="bibr" rid="journal-article-ref-04dcd873be5df5af558221bdec70b113">[74]</xref></title>
              <p id="paragraph-bc6ce57b7ea719bc89c097c14b4588c7"/>
            </caption>
            <graphic id="graphic-805c95251ed79b26190acc7862c79f81" mimetype="image" mime-subtype="jpeg" xlink:href="https://jamt.ejournal.unri.ac.id/index.php/jamt/article/download/69/90/1138"/>
          </fig>
        </sec>
      </sec>
    </sec>
    <sec id="heading-45909905126dc9b03d69992de34608e4">
      <title>Conclusion</title>
      <p id="heading-28f097fe3023cc3bcdf884310d6299be">The ER has been attracting research attention globally on its benefits in the grid. This paper summarily describes ER in terms of its concept, topologies, and most importantly areas of applications of the transformer. Consequently, the applications of ER as presented in the paper will enable end user to identify where and how it could be of use in different electric sections. It is evident that using the ER in the distribution network could help in achieving the required smart grid concept. In addition, it is clearly seen that the ER has capabilities to either replace the LFT or work hand in hand with it in the electric grid. </p>
      <p id="paragraph-7e4ec4cd71881835bf859e0fe31f18f4"/>
    </sec>
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