| 引用本文: | 马兆兴,秦昌民,朱文杰,等.考虑多时间尺度特征的电力系统稳定性界分析[J].电力系统保护与控制,2022,50(22):29-37. |
| MA Zhaoxing,QIN Changmin,ZHU Wenjie,et al.Analysis of the stability bound of a power system considering multi-time scale characteristics[J].Power System Protection and Control,2022,50(22):29-37 |
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| 摘要: |
| 电力系统运行的稳定性常常与换流器的接入有关，而换流器装置的时间尺度与传统电力系统并不一致。在电力系统中，为揭示电力系统含有不同时间尺度装置对稳定性的相互影响，建立了稳定性界的计算分析方法。从换流器接入电力系统的角度入手，基于奇异摄动理论，建立了多时间尺度系统稳定性界的分析模型，给出了求取该系统稳定性界的理论方法，并进行了数学理论证明。通过Matlab时域仿真，进行了定量分析和验证。结果表明，计及快、慢变量所构建系统可以准确描述稳定性动态响应特性；奇异摄动分析可以精确刻画不同时间尺度变量构成的电力系统稳定性界。此外，数值仿真结果验证了所提模型和稳定性界分析方法的准确性。 |
| 关键词: 奇异摄动 电力系统 稳定性界 多时间尺度 流形 |
| DOI：DOI: 10.19783/j.cnki.pspc.220238 |
| 分类号: |
| 基金项目:国家自然科学基金项目资助(61803220)；山东省自然科学基金面上项目资助(ZR2020ME194) |
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| Analysis of the stability bound of a power system considering multi-time scale characteristics |
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MA Zhaoxing, QIN Changmin, ZHU Wenjie, QIAN Baoshan
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(School of Information and Control Engineering, Qingdao University of Technology, Qingdao 266520, China)
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| Abstract: |
| The stability of power system operation is often related to the access of the converter, and the time scale of a converter device is not consistent with the traditional power system. In order to reveal the interaction of stability occuring between devices with different time scales, a calculation and analysis method of a stability bound is established. This paper considers a converter connecting to a power system, and based on singular perturbation theory, establishes an analysis model of multi-time scale system stability bound. A theoretical method for obtaining the system stability bound is given, and the method is proved by mathematical theory. It uses Matlab time domain simulation to carry out quantitative analysis and verification. The results show that the system with fast and slow variables can accurately describe the stability and dynamic response characteristics. Singular perturbation analysis can accurately describe the stability bound of a power system composed of variables with different time scales. In addition, the numerical simulation results validate the accuracy of the proposed model and stability bound analysis method. |
| Key words: singular perturbation power system boundary of stability multiple time scale manifold |
