基于PMU梯度动态偏差的新型电力系统快速稳定性

doi:10.16183/j.cnki.jsjtu.2022.370

上海交通大学学报 ›› 2024, Vol. 58 ›› Issue (1): 40-49.doi: 10.16183/j.cnki.jsjtu.2022.370

• 新型电力系统与综合能源 • 上一篇下一篇

基于PMU梯度动态偏差的新型电力系统快速稳定性

于淼¹^,²^,³, 胡敬轩¹^,²(), 张寿志¹^,², 魏静静¹^,², 孙建群¹^,², 吴屹潇¹^,²

1.北京建筑大学机电与车辆工程学院,北京 100044
2.北京市建筑安全检测工程技术研究中心, 北京100044
3.清华大学电力系统及发电设备安全控制和仿真国家重点实验室,北京 100084

收稿日期:2022-09-23 修回日期:2022-12-08 接受日期:2022-12-30 出版日期:2024-01-28 发布日期:2024-01-16
通讯作者: 胡敬轩,硕士生,电话(Tel.): 010-61209603;E-mail: olivermiaoer@163.com.
作者简介:于淼(1982-),博士,副教授,现主要从事电力系统辨识与控制研究.
基金资助:
清华大学电力系统及大型发电设备安全控制与仿真国家重点实验室基金资助项目(SKLD20M17);北京市高等教育学会项目(YB2021131);北京建筑大学金字塔人才培养工程项目(JDYC20200324);北京建筑大学研究生创新项目(PG2022132);国家级大学生创新创业训练计划项目(202110016052);国家自然科学基金委青年科学基金资助项目(51407201)

Fast Stability of New Power System Based on a PMU Gradient Dynamic Deviation Method

YU Miao¹^,²^,³, HU Jingxuan¹^,²(), ZHANG Shouzhi¹^,², WEI Jingjing¹^,², SUN Jianqun¹^,², WU Yixiao¹^,²

1. School of Mechanical-Electronic and Vehicle Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
2. Beijing Engineering Research Center of Monitoring for Construction Safety, Beijing 100044, China
3. State Key Laboratory of Control and Simulation of Power System and Generation Equipment, Tsinghua University, Beijing 100084, China

Received:2022-09-23 Revised:2022-12-08 Accepted:2022-12-30 Online:2024-01-28 Published:2024-01-16

摘要/Abstract

摘要：

在能源转型和科技进步双重推动下,高比例可再生能源和高比例电力电子设备正成为电力系统发展重要趋势和关键特征.新型电力系统动态行为随之发生重大变化,传统小干扰稳定性分析方法满足使用需要,在应对运行工况快速变化场合时尚存在亟需解决问题.提出基于同步相量测量装置(PMU)数据梯度动态偏差李雅普诺夫直接分析法对新型电力系统小干扰稳定性进行分析,利用PMU数据矩阵降维得到低维矩阵,代入含双馈异步风力发电机组的电力系统矩阵模型,求解李雅普诺夫方程式得到对角矩阵,通过判定矩阵正定性对系统稳定性作出判断.利用求解后得到的对角矩阵计算相应状态变量动态偏差值,对相应状态变量曲线使用梯度下降法迭代计算该曲线极值点数值,时间加权计算整个振荡过程时间加权动态偏差量,为阻尼稳定控制器配置位置提供指导.利用含风力发电新英格兰10机39节点系统仿真验证方法可以达到改善系统小干扰稳定性以及对新型电力系统快速稳定性分析的有效性.

关键词: 同步相量测量装置数据, 新型电力系统, 稳定性分析, 李雅普诺夫直接法, 梯度动态偏差

Abstract:

The high proportion of renewable energy and power electronic equipment is emerging as a significant trend and key characteristic of the power system development driven by the dual promotion of the energy transformation and scientific technological advancement. Major modifications have been made to the dynamic behavior of the new power system. The traditional small signal stability analysis approach is difficult to apply, and there are still urgent issues to be resolved for the quick change of operating conditions. In this paper, a Lyapunov direct analysis method of gradient dynamic deviation based on phasor measurement unit (PMU) data is proposed to analyze the small signal stability of the new power system. First, the PMU data matrix is used to reduce the dimension to obtain the low dimension matrix, which is substituted into the power system matrix model with a doubly-fed induction generator (DFIG). The diagonal matrix is obtained by solving the Lyapunov equation, and the positive definiteness of the matrix is determined to judge the system stability. Then, the dynamic deviation of corresponding state variable is calculated by solving the obtained diagonal matrix. The gradient descent method is applied to the corresponding state variable curve to iterate the extreme point value of curve. The time-weighted dynamic deviation of the whole oscillation process is calculated by time weighting, which provides guidance for the subsequent configuration position of damping stability controller, i.e., power system stabilizer (PSS). The method can improve the small interference stability of the system. The effectiveness of the fast stability analysis of the new power system is verified by simulations of the new England 10-machine 39-bus system with DFIG.

Key words: phasor measurement unit (PMU) data, new power system, stability analysis, Lyapunov direct method, gradient dynamic deviation

中图分类号:

TM712

于淼, 胡敬轩, 张寿志, 魏静静, 孙建群, 吴屹潇. 基于PMU梯度动态偏差的新型电力系统快速稳定性[J]. 上海交通大学学报, 2024, 58(1): 40-49.

YU Miao, HU Jingxuan, ZHANG Shouzhi, WEI Jingjing, SUN Jianqun, WU Yixiao. Fast Stability of New Power System Based on a PMU Gradient Dynamic Deviation Method[J]. Journal of Shanghai Jiao Tong University, 2024, 58(1): 40-49.

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算例系统	特征值,λ<0	矩阵P正定
WSCC 3机系统	是	是
中国电科院6机系统	是	是
新英格兰10机系统	否	否

模式	风电场出力/%	特征根	阻尼比	振荡频率/Hz
区域间振荡模式1	0	-0.8405±j3.6049	0.2271	0.5737
	3	-0.8458±j3.6222	0.2274	0.5765
	6	-0.8499±j3.6268	0.2281	0.5772
区域间振荡模式2	0	-0.5692±j0.5288	0.7326	0.0842
	3	-0.5729±j0.7247	0.6202	0.1153
	6	-0.5569±j0.7863	0.5779	0.1251

已配置PSS机组	最小阻尼比	动态偏差量平方积分值
1,2	0.0243	0.6765
1,2,9	0.0245	0.6486
1,2,9,7	0.0272	0.6375
1,2,9,7,4	0.0288	0.6055
1,2,9,7,4,5	0.0654	0.5994
1,2,9,7,4,5,3	0.0916	0.5732
1,2,9,7,4,5,3,8	0.0963	0.5629
1,2,9,7,4,5,3,8,10	0.1057	0.4968

发电机机组编号	状态曲线时间加权梯度偏差值	该工况下机组阻尼比
1	0.03569	0.0339
2	0.02602	0.0403
3	0.03271	0.0392
4	0.07179	-0.0017
5	0.08368	0.0331
7	0.05546	-0.0175
8	0.06102	0.0187
9	0.04219	-0.0070
10	0.04847	-0.0078

基于PMU梯度动态偏差的新型电力系统快速稳定性

Fast Stability of New Power System Based on a PMU Gradient Dynamic Deviation Method

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