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Shooting method based modular multilevel converter initialization for electromagnetic transient analysis
This paper presents an accurate and efficient initialization strategy for modular multilevel converters (MMCs) based on the shooting method, a numerical technique aimed at deriving the periodic steady-state operating condition of any circuit. This technique is compatible with MMC models of different...
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Published in: | International journal of electrical power & energy systems 2024-10, Vol.161, p.110163, Article 110163 |
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creator | del Giudice, D. Bizzarri, F. Linaro, D. Brambilla, A. |
description | This paper presents an accurate and efficient initialization strategy for modular multilevel converters (MMCs) based on the shooting method, a numerical technique aimed at deriving the periodic steady-state operating condition of any circuit. This technique is compatible with MMC models of different levels of detail and whose control scheme may include modulation strategies and capacitor voltage balancing algorithms. Electromagnetic transient simulations of the NORDIC32 power system modified by adding a high-voltage direct current link with 128-level MMCs prove that the proposed initialization strategy allows starting simulations close to steady-state, thereby significantly limiting initialization transients and their corresponding extra CPU time.
•We present a technique to initialize grids with modular multilevel converters (MMCs).•The proposed technique is based on the shooting method (SHM) and is purely numerical.•Initialization transients (and, thus, CPU time) are minimized by the SHM.•The approach is compatible with different MMC models and control schemes.•A benchmark grid is simulated to validate the accuracy and efficiency of the method. |
doi_str_mv | 10.1016/j.ijepes.2024.110163 |
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•We present a technique to initialize grids with modular multilevel converters (MMCs).•The proposed technique is based on the shooting method (SHM) and is purely numerical.•Initialization transients (and, thus, CPU time) are minimized by the SHM.•The approach is compatible with different MMC models and control schemes.•A benchmark grid is simulated to validate the accuracy and efficiency of the method.</description><identifier>ISSN: 0142-0615</identifier><identifier>DOI: 10.1016/j.ijepes.2024.110163</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Average model ; Electromagnetic transient simulation ; Initialization ; Modular multilevel converter ; Shooting method ; Steady-state ; Thévenin equivalent model</subject><ispartof>International journal of electrical power & energy systems, 2024-10, Vol.161, p.110163, Article 110163</ispartof><rights>2024 The Author(s)</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c251t-5efbb9c2d45c0919a61191d6b2d258d6fcc0275e9a991142347cb9cebeff03073</cites><orcidid>0000-0002-6568-6491 ; 0000-0001-8751-0350 ; 0000-0001-9422-6446 ; 0000-0002-7211-5398</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>del Giudice, D.</creatorcontrib><creatorcontrib>Bizzarri, F.</creatorcontrib><creatorcontrib>Linaro, D.</creatorcontrib><creatorcontrib>Brambilla, A.</creatorcontrib><title>Shooting method based modular multilevel converter initialization for electromagnetic transient analysis</title><title>International journal of electrical power & energy systems</title><description>This paper presents an accurate and efficient initialization strategy for modular multilevel converters (MMCs) based on the shooting method, a numerical technique aimed at deriving the periodic steady-state operating condition of any circuit. This technique is compatible with MMC models of different levels of detail and whose control scheme may include modulation strategies and capacitor voltage balancing algorithms. Electromagnetic transient simulations of the NORDIC32 power system modified by adding a high-voltage direct current link with 128-level MMCs prove that the proposed initialization strategy allows starting simulations close to steady-state, thereby significantly limiting initialization transients and their corresponding extra CPU time.
•We present a technique to initialize grids with modular multilevel converters (MMCs).•The proposed technique is based on the shooting method (SHM) and is purely numerical.•Initialization transients (and, thus, CPU time) are minimized by the SHM.•The approach is compatible with different MMC models and control schemes.•A benchmark grid is simulated to validate the accuracy and efficiency of the method.</description><subject>Average model</subject><subject>Electromagnetic transient simulation</subject><subject>Initialization</subject><subject>Modular multilevel converter</subject><subject>Shooting method</subject><subject>Steady-state</subject><subject>Thévenin equivalent model</subject><issn>0142-0615</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>DOA</sourceid><recordid>eNp9kE1LJDEQhvuwwo66_2AP-QMzVjJJt7ksLOIXCHtQzyFdqZ5Jk-5IEgf015uxZY-eCoqqh_d9muY3hw0H3l6MGz_SC-WNACE3_Ljb_mhWwKVYQ8vVz-Y05xEAOi3Fqtk_7mMsft6xico-OtbbTI5N0b0Gm9j0GooPdKDAMM4HSoUS87Mv3gb_bouPMxtiYhQIS4qT3c1UPLKS7Jw9zYXZ2Ya37PN5czLYkOnX1zxrnm-un67u1g__bu-v_j6sUShe1oqGvtconFQImmvbcq65a3vhhLp07YAIolOkrda8dtrKDus99TQMsIVue9bcL1wX7Whekp9sejPRevO5iGlnbKoRAxmU1GrU0GpJkvfCtp1CRO7gEhQpqCy5sDDFnBMN_3kczNGsGc1i2xxtm8V2ffuzvFHtefCUTMbqAsn5VDXVIP57wAfjOI9N</recordid><startdate>202410</startdate><enddate>202410</enddate><creator>del Giudice, D.</creator><creator>Bizzarri, F.</creator><creator>Linaro, D.</creator><creator>Brambilla, A.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>DOA</scope><orcidid>https://orcid.org/0000-0002-6568-6491</orcidid><orcidid>https://orcid.org/0000-0001-8751-0350</orcidid><orcidid>https://orcid.org/0000-0001-9422-6446</orcidid><orcidid>https://orcid.org/0000-0002-7211-5398</orcidid></search><sort><creationdate>202410</creationdate><title>Shooting method based modular multilevel converter initialization for electromagnetic transient analysis</title><author>del Giudice, D. ; Bizzarri, F. ; Linaro, D. ; Brambilla, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c251t-5efbb9c2d45c0919a61191d6b2d258d6fcc0275e9a991142347cb9cebeff03073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Average model</topic><topic>Electromagnetic transient simulation</topic><topic>Initialization</topic><topic>Modular multilevel converter</topic><topic>Shooting method</topic><topic>Steady-state</topic><topic>Thévenin equivalent model</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>del Giudice, D.</creatorcontrib><creatorcontrib>Bizzarri, F.</creatorcontrib><creatorcontrib>Linaro, D.</creatorcontrib><creatorcontrib>Brambilla, A.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>International journal of electrical power & energy systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>del Giudice, D.</au><au>Bizzarri, F.</au><au>Linaro, D.</au><au>Brambilla, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Shooting method based modular multilevel converter initialization for electromagnetic transient analysis</atitle><jtitle>International journal of electrical power & energy systems</jtitle><date>2024-10</date><risdate>2024</risdate><volume>161</volume><spage>110163</spage><pages>110163-</pages><artnum>110163</artnum><issn>0142-0615</issn><abstract>This paper presents an accurate and efficient initialization strategy for modular multilevel converters (MMCs) based on the shooting method, a numerical technique aimed at deriving the periodic steady-state operating condition of any circuit. This technique is compatible with MMC models of different levels of detail and whose control scheme may include modulation strategies and capacitor voltage balancing algorithms. Electromagnetic transient simulations of the NORDIC32 power system modified by adding a high-voltage direct current link with 128-level MMCs prove that the proposed initialization strategy allows starting simulations close to steady-state, thereby significantly limiting initialization transients and their corresponding extra CPU time.
•We present a technique to initialize grids with modular multilevel converters (MMCs).•The proposed technique is based on the shooting method (SHM) and is purely numerical.•Initialization transients (and, thus, CPU time) are minimized by the SHM.•The approach is compatible with different MMC models and control schemes.•A benchmark grid is simulated to validate the accuracy and efficiency of the method.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.ijepes.2024.110163</doi><orcidid>https://orcid.org/0000-0002-6568-6491</orcidid><orcidid>https://orcid.org/0000-0001-8751-0350</orcidid><orcidid>https://orcid.org/0000-0001-9422-6446</orcidid><orcidid>https://orcid.org/0000-0002-7211-5398</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Average model Electromagnetic transient simulation Initialization Modular multilevel converter Shooting method Steady-state Thévenin equivalent model |
title | Shooting method based modular multilevel converter initialization for electromagnetic transient analysis |
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