{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:22:17Z","timestamp":1753885337243,"version":"3.41.2"},"reference-count":28,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,3,11]],"date-time":"2021-03-11T00:00:00Z","timestamp":1615420800000},"content-version":"vor","delay-in-days":69,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U20A20190","62073065"],"award-info":[{"award-number":["U20A20190","62073065"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>At present, integrated energy systems have received extensive attention, but there is no basic framework for stability analysis of coupled systems. The injection of a large amount of renewable energy also has a great impact on the stability of the system. This paper focuses on how to analyze the static stability of the coupling system with uncertainty, which mainly considers the uncertainty of wind power generation and photovoltaic power generation and also considers the influence of P2G technology on the whole system. Firstly, this paper analyzes the principles of wind power generation and photovoltaic power generation and constructs the probability model of renewable energy power generation power. Then, the three\u2010point estimation method is used to process the data, and the probability distribution of the unknown quantity is obtained by probabilistic power flow analysis. Finally, the probability distribution of each eigenvalue is obtained by analyzing the sensitivity of the characteristic roots to the voltage. Thus, the static stability of the system is judged. The applicability of proposed methodology is demonstrated by analyzing an integrated IEEE 14\u2010bus power system and a Belgian 20\u2010node gas system in this paper.<\/jats:p>","DOI":"10.1155\/2021\/5536294","type":"journal-article","created":{"date-parts":[[2021,3,11]],"date-time":"2021-03-11T19:05:08Z","timestamp":1615489508000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Static Stability Analysis Based on Probabilistic Power Flow Calculation considering P2G Technology"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4635-3365","authenticated-orcid":false,"given":"Jia","family":"Yao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5620-8677","authenticated-orcid":false,"given":"Yujia","family":"Huang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4872-2208","authenticated-orcid":false,"given":"Jingwei","family":"Hu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,3,11]]},"reference":[{"key":"e_1_2_10_1_2","first-page":"21","article-title":"From independence to interconnection-A review of AI technology applied in energy systems","volume":"5","author":"Sun Q.","year":"2019","journal-title":"CSEE Journal of Power and Energy Systems"},{"key":"e_1_2_10_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/tsg.2019.2893285"},{"key":"e_1_2_10_3_2","unstructured":"HuangY. SunQ. ZhangN. andWangR. A multi-slack bus model for bi-directional energy flow analysis of integrated power-gas systems CSEE Journal of Power and Energy Systems to be published."},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TII.2020.3031437"},{"key":"e_1_2_10_5_2","doi-asserted-by":"crossref","unstructured":"SawasA.andFaragH. E. Z. Optimal sizing of powerctocgas units toward elevated renewable power penetration Proceedings of the 2019 Institute of Electrical and Electronics Engineers Canadian Conference of Electrical and Computer Engineering (CCECE) May 2019 Edmonton CA USA 1\u20134 https:\/\/doi.org\/10.1109\/CCECE.2019.8861741 2-s2.0-85074067306.","DOI":"10.1109\/CCECE.2019.8861741"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2019.2935771"},{"volume-title":"Interchangeability of Fuel Gases","year":"1965","author":"Williams T. A.","key":"e_1_2_10_7_2"},{"key":"e_1_2_10_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2015.02.055"},{"key":"e_1_2_10_9_2","doi-asserted-by":"crossref","unstructured":"LiuJ. ZhongH. ZengK. FanH. andChenQ. Optimal scheduling of multiple energy system considering power to gas unit Proceedings of the 2017 IEEE Conference on Energy Internet and Energy System Integration (EI2) November 2017 Beijing China 1\u20136 https:\/\/doi.org\/10.1109\/EI2.2017.8244415 2-s2.0-85049154977.","DOI":"10.1109\/EI2.2017.8244415"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/TPEL.2021.3049241"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1109\/tste.2019.2894633"},{"key":"e_1_2_10_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0378-7796(95)00952-E"},{"key":"e_1_2_10_13_2","doi-asserted-by":"crossref","unstructured":"RajuG. K. V.andBijweP. R. Fuzzy distribution power flow for weakly meshed systems Proceedings of the 2007 IEEE Power Engineering Society General Meeting June 2007 Tampa FL USA.","DOI":"10.1109\/PES.2007.385608"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-gtd.2009.0639"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.1109\/59.49104"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/tpwrs.2010.2057456"},{"key":"e_1_2_10_17_2","doi-asserted-by":"crossref","unstructured":"RenZ. YanW. DingC. YuJ. andZhaoX. Probabilistic optimal power flow analysis of virtual power plant containing photovoltaic generation Proceedings of the 2014 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC) December 2014 Kowloon Hong Kong 1\u20135.","DOI":"10.1109\/APPEEC.2014.7066012"},{"key":"e_1_2_10_18_2","unstructured":"YuJ. QiH. QiuS. WangX. andZhangH. Probabilistic load flow calculation with irregular distribution variables considering power grid receivability of wind power generation Proceedings of the 2016 IEEE 8th International Power Electronics and Motion Control Conference (IPEMC-ECCE Asia) May 2016 Hefei China 1457\u20131461."},{"key":"e_1_2_10_19_2","first-page":"44","article-title":"Static voltage stability analysis for integrated energy system","volume":"39","author":"Huang Y.","year":"2019","journal-title":"Chinese Journal of Electrical Engineering"},{"key":"e_1_2_10_20_2","doi-asserted-by":"publisher","DOI":"10.1109\/tpel.2021.3049241"},{"key":"e_1_2_10_21_2","article-title":"Zero-sequence current suppression strategy with common mode voltage control for open-end winding PMSM drives with common DC bus","volume":"2020","author":"Hu W.","year":"2020","journal-title":"Institute of Electrical and Electronics Engineers Transactions on Industrial Electronics"},{"key":"e_1_2_10_22_2","doi-asserted-by":"crossref","unstructured":"YangL. ZhaoX. HuX. SunG. andYanW. Probabilistic power and gas flow analysis for electricity-gas coupled networks considering uncertainties in pipeline parameters Proceedings of the 2017 IEEE Conference on Energy Internet and Energy System Integration (EI2) November 2017 Beijing China 1\u20136.","DOI":"10.1109\/EI2.2017.8245464"},{"key":"e_1_2_10_23_2","doi-asserted-by":"crossref","unstructured":"FangJ. Dynamic optimal energy flow in the integrated natural gas and electrical power systems Proceedings of the 2018 IEEE Power Energy Society General Meeting (PESGM) August 2018 Atlanta GA USA.","DOI":"10.1109\/PESGM.2018.8586246"},{"volume-title":"Solar Energy Technology Handbook","year":"1980","author":"Dickinson W. E.","key":"e_1_2_10_24_2"},{"key":"e_1_2_10_25_2","doi-asserted-by":"publisher","DOI":"10.1002\/0470846062"},{"key":"e_1_2_10_26_2","doi-asserted-by":"publisher","DOI":"10.1109\/tpwrs.2015.2486819"},{"key":"e_1_2_10_27_2","first-page":"3347","article-title":"Integrated power and natural gas model for energy adequacy in short-term operation","volume":"30","author":"Correa-Posada C. M.","year":"2014","journal-title":"Institute of Electrical and Electronics Engineers Transactions on Power Systems"},{"key":"e_1_2_10_28_2","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.46.11.1454.12087"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/5536294.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/5536294.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/5536294","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T21:53:18Z","timestamp":1723240398000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/5536294"}},"subtitle":[],"editor":[{"given":"Dan","family":"Selisteanu","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":28,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/5536294"],"URL":"https:\/\/doi.org\/10.1155\/2021\/5536294","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2021-01-17","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-03-02","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-03-11","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"5536294"}}