Peng Wang;Junpeng Ma;Shunliang Wang;Weitao Wang;Rui Zhang;Tianqi Liu
{"title":"基于复值节点导纳模型的多变流器系统简化稳定性分析方法","authors":"Peng Wang;Junpeng Ma;Shunliang Wang;Weitao Wang;Rui Zhang;Tianqi Liu","doi":"10.1109/TPWRD.2025.3553679","DOIUrl":null,"url":null,"abstract":"The zero points of the determinant of the node admittance model (NAM) have been applied to address the stability issues in power systems with high-penetration converters. Yet, the NAM generally relies on the rotations, i.e., the dynamic phase of each converter, moreover, the frequency coupling effect is neglected via NAM. To fill this gap, this paper presents the concept of a unified <italic>αβ</i>-frame complex-valued NAM, with which different converters as well as the passive components can be incorporated to form an <italic>s</i>-domain model for a complex system. Additionally, the intrinsic relationship among the <italic>αβ</i>-frame complex-valued NAM, the <italic>dq</i>-frame NAM, and the sequence-domain NAM is revealed from a physical perspective. The proposed model merely relies on the initial phase of the voltage at each node and accurately reflects the frequency coupling effect. Furthermore, considering the frequency coupling, the consistency between the zero points of the determinant of <italic>αβ</i>-frame complex-valued NAM and the eigenvalues derived from the state-space model is demonstrated. Finally, the effectiveness of the modeling approach and stability criterion is validated by applying them to the 3-machine system with different types of converters. Besides, the effect of the placement and capacity of converters based on grid-forming control on the stability performance in the multi-converter system is revealed.","PeriodicalId":13498,"journal":{"name":"IEEE Transactions on Power Delivery","volume":"40 3","pages":"1434-1447"},"PeriodicalIF":3.8000,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Simplified Stability Analysis Method for Multi-Converter System Based on Complex-Valued Node Admittance Model\",\"authors\":\"Peng Wang;Junpeng Ma;Shunliang Wang;Weitao Wang;Rui Zhang;Tianqi Liu\",\"doi\":\"10.1109/TPWRD.2025.3553679\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The zero points of the determinant of the node admittance model (NAM) have been applied to address the stability issues in power systems with high-penetration converters. Yet, the NAM generally relies on the rotations, i.e., the dynamic phase of each converter, moreover, the frequency coupling effect is neglected via NAM. To fill this gap, this paper presents the concept of a unified <italic>αβ</i>-frame complex-valued NAM, with which different converters as well as the passive components can be incorporated to form an <italic>s</i>-domain model for a complex system. Additionally, the intrinsic relationship among the <italic>αβ</i>-frame complex-valued NAM, the <italic>dq</i>-frame NAM, and the sequence-domain NAM is revealed from a physical perspective. The proposed model merely relies on the initial phase of the voltage at each node and accurately reflects the frequency coupling effect. Furthermore, considering the frequency coupling, the consistency between the zero points of the determinant of <italic>αβ</i>-frame complex-valued NAM and the eigenvalues derived from the state-space model is demonstrated. Finally, the effectiveness of the modeling approach and stability criterion is validated by applying them to the 3-machine system with different types of converters. Besides, the effect of the placement and capacity of converters based on grid-forming control on the stability performance in the multi-converter system is revealed.\",\"PeriodicalId\":13498,\"journal\":{\"name\":\"IEEE Transactions on Power Delivery\",\"volume\":\"40 3\",\"pages\":\"1434-1447\"},\"PeriodicalIF\":3.8000,\"publicationDate\":\"2025-03-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Power Delivery\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10937145/\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Power Delivery","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/10937145/","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
A Simplified Stability Analysis Method for Multi-Converter System Based on Complex-Valued Node Admittance Model
The zero points of the determinant of the node admittance model (NAM) have been applied to address the stability issues in power systems with high-penetration converters. Yet, the NAM generally relies on the rotations, i.e., the dynamic phase of each converter, moreover, the frequency coupling effect is neglected via NAM. To fill this gap, this paper presents the concept of a unified αβ-frame complex-valued NAM, with which different converters as well as the passive components can be incorporated to form an s-domain model for a complex system. Additionally, the intrinsic relationship among the αβ-frame complex-valued NAM, the dq-frame NAM, and the sequence-domain NAM is revealed from a physical perspective. The proposed model merely relies on the initial phase of the voltage at each node and accurately reflects the frequency coupling effect. Furthermore, considering the frequency coupling, the consistency between the zero points of the determinant of αβ-frame complex-valued NAM and the eigenvalues derived from the state-space model is demonstrated. Finally, the effectiveness of the modeling approach and stability criterion is validated by applying them to the 3-machine system with different types of converters. Besides, the effect of the placement and capacity of converters based on grid-forming control on the stability performance in the multi-converter system is revealed.
期刊介绍:
The scope of the Society embraces planning, research, development, design, application, construction, installation and operation of apparatus, equipment, structures, materials and systems for the safe, reliable and economic generation, transmission, distribution, conversion, measurement and control of electric energy. It includes the developing of engineering standards, the providing of information and instruction to the public and to legislators, as well as technical scientific, literary, educational and other activities that contribute to the electric power discipline or utilize the techniques or products within this discipline.