{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,19]],"date-time":"2025-12-19T15:48:22Z","timestamp":1766159302106,"version":"3.28.0"},"reference-count":31,"publisher":"Institute of Electronics, Information and Communications Engineers (IEICE)","issue":"7","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEICE Trans. Electron."],"published-print":{"date-parts":[[2024,7,1]]},"DOI":"10.1587\/transele.2023ecp5038","type":"journal-article","created":{"date-parts":[[2023,12,19]],"date-time":"2023-12-19T22:12:26Z","timestamp":1703023946000},"page":"201-209","source":"Crossref","is-referenced-by-count":4,"title":["Determination Method of Cascaded Number for Lumped Parameter Models Oriented to Transmission Lines"],"prefix":"10.1587","volume":"E107.C","author":[{"given":"Risheng","family":"QIN","sequence":"first","affiliation":[{"name":"Electric Power Research Institute, Yunnan Power Grid Co. Ltd."}]},{"given":"Hua","family":"KUANG","sequence":"additional","affiliation":[{"name":"Yunnan Power Grid Co. Ltd."}]},{"given":"He","family":"JIANG","sequence":"additional","affiliation":[{"name":"Electric Power Research Institute, Yunnan Power Grid Co. Ltd."}]},{"given":"Hui","family":"YU","sequence":"additional","affiliation":[{"name":"Electric Power Research Institute, Yunnan Power Grid Co. Ltd."}]},{"given":"Hong","family":"LI","sequence":"additional","affiliation":[{"name":"Honghe Power Supply Bureau, Yunnan Power Grid Co. Ltd."}]},{"given":"Zhuan","family":"LI","sequence":"additional","affiliation":[{"name":"Dali Power Supply Bureau, Yunnan Power Grid Co. Ltd."}]}],"member":"532","reference":[{"key":"1","doi-asserted-by":"publisher","unstructured":"[1] P. Dan-Klang and E. Leelarasmee, \u201cTransient simulation of voltage and current distributions within transmission lines,\u201d IEICE Trans. Electron., vol.E92-C, no.4, pp.522-531, April 2009. 10.1587\/transele.E92.C.522","DOI":"10.1587\/transele.E92.C.522"},{"key":"2","doi-asserted-by":"publisher","unstructured":"[2] H. Cui, F. Li, and K. Tomsovic, \u201cCyber-physical system testbed for power system monitoring and wide-area control verification,\u201d IET Energy Syst. Integr., vol.2, no.1, pp.32-39, 2020. 10.1049\/iet-esi.2019.0084","DOI":"10.1049\/iet-esi.2019.0084"},{"key":"3","doi-asserted-by":"crossref","unstructured":"[3] B. Hou, Y. Zhang, Y. Guo, Q. Guo, B. Xi, and H. Sun, \u201cInformation flow based cyber-physical power system modeling and simulation,\u201d 2021 IEEE 5th Conference on Energy Internet and Energy System Integration (EI2), Taiyuan, China, pp.326-330, 2021. 10.1109\/ei252483.2021.9713151","DOI":"10.1109\/EI252483.2021.9713151"},{"key":"4","doi-asserted-by":"publisher","unstructured":"[4] J. Kim, E. Song, J. Cho, Y. Shim, G. Kim, and J. Kim, \u201cFrequency-dependent transmission line model of a stranded coaxial cable,\u201d IEICE Trans. Electron., vol.E93-C, no.1, pp.112-119, Jan. 2010. 10.1587\/transele.E93.C.112","DOI":"10.1587\/transele.E93.C.112"},{"key":"5","doi-asserted-by":"publisher","unstructured":"[5] L. Hu, W. Lei, J. Zhao, and X. Sun, \u201cOptimal weighting factor design of finite control set model predictive control based on multiobjective ant colony optimization,\u201d IEEE Trans. Ind. Electron., Early Access, 2023. 10.1109\/TIE.2023.3301534","DOI":"10.1109\/TIE.2023.3301534"},{"key":"6","doi-asserted-by":"publisher","unstructured":"[6] W. Pan, Y. Li, and X. Chen, \u201cCalculation method of corona loss in EHV\/UHV system based on distributed parameter characteristic,\u201d IEEJ Trans. Electr. Electron. Eng., vol.14, no.5, pp.730-734, 2019. 10.1002\/tee.22859","DOI":"10.1002\/tee.22859"},{"key":"7","doi-asserted-by":"crossref","unstructured":"[7] A.R. Al-Roomi and M.E. El-Hawary, \u201cA novel approach to precisely calculate lumped parameters for transmission lines with sag using the M-model equivalent circuit,\u201d 2020 IEEE Electric Power and Energy Conference (EPEC), Edmonton, AB, Canada, pp.1-6, 2020. 10.1109\/epec48502.2020.9320040","DOI":"10.1109\/EPEC48502.2020.9320040"},{"key":"8","doi-asserted-by":"crossref","unstructured":"[8] H. Peng, W. Mo, Y. Wang, L. Luan, and Z. Xu, \u201cFault location algorithm for multi-terminal transmission lines of distribution system based on loop-analysis,\u201d 2021 IEEE 5th Conference on Energy Internet and Energy System Integration (EI2), Taiyuan, China, pp.1094-1100, 2021. 10.1109\/ei252483.2021.9713107","DOI":"10.1109\/EI252483.2021.9713107"},{"key":"9","doi-asserted-by":"publisher","unstructured":"[9] K. Wada, H. Fujita and H. Akagi, \u201cConsiderations of a shunt active filter based on voltage detection for installation on a long distribution feeder,\u201d IEEE Trans. Ind. Appl., vol.38, no.4, pp.1123-1130, July-Aug. 2002. 10.1109\/tia.2002.800584","DOI":"10.1109\/TIA.2002.800584"},{"key":"10","doi-asserted-by":"crossref","unstructured":"[10] D. Oliveira, G.C.B. Leal, D. Herrera, E. Galv\u00e1n-D\u00edez, J.M. Carrasco, and M. Aredes, \u201cAn analysis on the VSC-HVDC contribution for the static voltage stability margin and effective short circuit ratio enhancement in hybrid multi-infeed HVDC Systems,\u201d Energies, vol.16, no.1, 532, 2023. 10.3390\/en16010532","DOI":"10.3390\/en16010532"},{"key":"11","doi-asserted-by":"publisher","unstructured":"[11] Z. Liu, H. Gao, and S. Luo, \u201cNon-unit protection for long-distance LCC-HVDC transmission lines based on waveform characteristics of voltage travelling waves,\u201d Int. J. Electr. Power Energy Syst., vol.150, 109079, 2023. 10.1016\/j.ijepes.2023.109079","DOI":"10.1016\/j.ijepes.2023.109079"},{"key":"12","doi-asserted-by":"publisher","unstructured":"[12] R. Dias, A. Lima, C. Portela, and M. Aredes, \u201cExtra long-distance bulk power transmission,\u201d IEEE Trans. Power Deliv., vol.26, no.3, pp.1440-1448, July 2011. 10.1109\/tpwrd.2011.2126610","DOI":"10.1109\/TPWRD.2011.2126610"},{"key":"13","doi-asserted-by":"crossref","unstructured":"[13] E.C. Gomes and M.C. Tavares, \u201cAnalysis of the energization test of a half-wavelength AC link composed of similar transmission lines,\u201d 2011 Asia-Pacific Power and Energy Engineering Conference, Wuhan, China, 2011. 10.1109\/appeec.2011.5749121","DOI":"10.1109\/APPEEC.2011.5749121"},{"key":"14","doi-asserted-by":"crossref","unstructured":"[14] W. Lin, J. Yi, F. Yu, J. Jia, A. Wang, and X. Wang, \u201cAnalysis of half-wavelength transmission lines system state in operation,\u201d 2019 IEEE Innovative Smart Grid Technologies-Asia (ISGT Asia), Chengdu, China, pp.741-746, 2019. 10.1109\/isgt-asia.2019.8881173","DOI":"10.1109\/ISGT-Asia.2019.8881173"},{"key":"15","doi-asserted-by":"publisher","unstructured":"[15] Q. Yu and O. Wing, \u201cComputational models of transmission lines with skin effects and dielectric loss,\u201d IEEE Trans. Circuits Syst. I: Fundam. Theor. Appl., vol.41, no.2, pp.107-119, Feb. 1994. 10.1109\/81.269047","DOI":"10.1109\/81.269047"},{"key":"16","doi-asserted-by":"publisher","unstructured":"[16] X. Li, Z. Xu, Q. Lai, and Z. Zhang, \u201cResearch on transmission line model based on phase-mode transformation in HVDC system,\u201d IEEJ Trans. Electr. Electron. Eng., vol.15, no.1, pp.51-60, 2020. 10.1002\/tee.23026","DOI":"10.1002\/tee.23026"},{"key":"17","doi-asserted-by":"crossref","unstructured":"[17] E. Leelarasmee and P. Naenna, \u201cA distributed state variables approach to the transmission lines transient simulation,\u201d The 2004 IEEE Asia-Pacific Conference on Circuits and Systems, Tainan, Taiwan, vol.1, pp.73-76, 2004. 10.1109\/apccas.2004.1412694","DOI":"10.1109\/APCCAS.2004.1412694"},{"key":"18","doi-asserted-by":"crossref","unstructured":"[18] M.S. Mamis, \u201cDiscrete-time state-space modeling of distributed parameter transmission line,\u201d EUROCON 2007-The International Conference on \u201cComputer as a Tool\u201d, Warsaw, Poland, pp.2078-2081, 2007. 10.1109\/eurcon.2007.4400383","DOI":"10.1109\/EURCON.2007.4400383"},{"key":"19","doi-asserted-by":"publisher","unstructured":"[19] X. Zhou, X. Lu, W. Wang, J. Ren, and Y. Gu, \u201cEstablishment of transmission lines model of shielded twisted-pair line,\u201d IEICE Trans. Electron., vol.E106-C, no.3, pp.67-75, March 2023. 10.1587\/transele.2022ECP5038","DOI":"10.1587\/transele.2022ECP5038"},{"key":"20","doi-asserted-by":"publisher","unstructured":"[20] A. Ramirez, A. Semlyen, and R. Iravani, \u201cHarmonic domain characterization of the resonant interaction between generator and transmission line,\u201d IEEE Trans. Power Deliv., vol.20, no.2, pp.1753-1762, April 2005. 10.1109\/tpwrd.2004.834678","DOI":"10.1109\/TPWRD.2004.834678"},{"key":"21","doi-asserted-by":"publisher","unstructured":"[21] J.R. Harries and J.L. Randall, \u201cHarmonic resonance on parallel high voltage transmission lines,\u201d IEEE Trans. Power Deliv., vol.12, no.1, pp.477-482, Jan. 1997. 10.1109\/61.568274","DOI":"10.1109\/61.568274"},{"key":"22","doi-asserted-by":"publisher","unstructured":"[22] J.W. Phinney, D.J. Perreault, and J.H. Lang, \u201cSynthesis of lumped transmission-line analogs,\u201d IEEE Trans. Power Electron., vol.22, no.4, pp.1531-1542, July 2007. 10.1109\/tpel.2007.900530","DOI":"10.1109\/TPEL.2007.900530"},{"key":"23","doi-asserted-by":"publisher","unstructured":"[23] S. Kurokawa, F.N.R. Yamanaka, A.J. Prado, and J. Pissolato, \u201cInclusion of the frequency effect in the lumped parameters transmission line model: State space formulation,\u201d Electr. Power Syst. Res., vol.79, no.7, pp.1155-1163, 2009. 10.1016\/j.epsr.2009.02.007","DOI":"10.1016\/j.epsr.2009.02.007"},{"key":"24","unstructured":"[24] O.I. Elgerd, Electric energy systems theory, McGraw-Hill, New York, 1982."},{"key":"25","unstructured":"[25] X. Cui, \u201cChained number of lumped-circuits for physical analogy of the lossless transmission lines,\u201d Proc. CSEE, vol.9, pp.2561-2571, 2017."},{"key":"26","doi-asserted-by":"crossref","unstructured":"[26] R. Zhan, Y. Li, Y. Yu, J. Meng, and B. Wang, \u201cThe number of chained lumped-circuits for the physical analogy of half-wavelength power transmission lines,\u201d 2017 IEEE 5th International Symposium on Electromagnetic Compatibility (EMC-Beijing), Beijing, China, pp.1-5, 2017. 10.1109\/emc-b.2017.8260352","DOI":"10.1109\/EMC-B.2017.8260352"},{"key":"27","doi-asserted-by":"crossref","unstructured":"[27] Y. Li, C. Jiao, and B. Wang, \u201cThe number of chained \u03c0-type circuits for dynamic analogy of half-wavelength transmission line considering short-circuit fault,\u201d 2017 Sixth Asia-Pacific Conference on Antennas and Propagation (APCAP), Xi'an, China, pp.1-3, 2017. 10.1109\/apcap.2017.8420842","DOI":"10.1109\/APCAP.2017.8420842"},{"key":"28","doi-asserted-by":"publisher","unstructured":"[28] W. Xu, Z. Huang, Y. Cui, and H. Wang, \u201cHarmonic resonance mode analysis,\u201d IEEE Trans. Power Deliv., vol.20, no.2, pp.1182-1190, April 2005. 10.1109\/tpwrd.2004.834856","DOI":"10.1109\/TPWRD.2004.834856"},{"key":"29","doi-asserted-by":"publisher","unstructured":"[29] Z. Huang, Y. Cui, and W. Xu, \u201cApplication of modal sensitivity for power system harmonic resonance analysis,\u201d IEEE Trans. Power Syst., vol.22, no.1, pp.222-231, Feb. 2007. 10.1109\/tpwrs.2006.883678","DOI":"10.1109\/TPWRS.2006.883678"},{"key":"30","doi-asserted-by":"publisher","unstructured":"[30] K.S. Oh, \u201cAccurate transient simulation of transmission lines with the skin effect,\u201d IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst., vol.19, no.3, pp.389-396, March 2000. 10.1109\/43.833207","DOI":"10.1109\/43.833207"},{"key":"31","doi-asserted-by":"publisher","unstructured":"[31] J.E. Schutt-Aine, \u201cHigh-frequency characterization of twisted-pair cables,\u201d IEEE Trans. Commun., vol.49, no.4, pp.598-601, April 2001. 10.1109\/26.917765","DOI":"10.1109\/26.917765"}],"container-title":["IEICE Transactions on Electronics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transele\/E107.C\/7\/E107.C_2023ECP5038\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,6]],"date-time":"2024-11-06T11:14:59Z","timestamp":1730891699000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/transele\/E107.C\/7\/E107.C_2023ECP5038\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,7,1]]},"references-count":31,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2024]]}},"URL":"https:\/\/doi.org\/10.1587\/transele.2023ecp5038","relation":{},"ISSN":["0916-8524","1745-1353"],"issn-type":[{"type":"print","value":"0916-8524"},{"type":"electronic","value":"1745-1353"}],"subject":[],"published":{"date-parts":[[2024,7,1]]},"article-number":"2023ECP5038"}}