电力系统摇摆方程的侵入式谐波解及分析
Invasive Harmonic Solution and Analysis of Power System Swing Equation
李京 1甘德强 1倪秋龙 2周靖皓 2曹建伟3
作者信息
- 1. 浙江大学电气工程学院,浙江省杭州市 310027
- 2. 国网浙江省电力有限公司,浙江省杭州市 310027
- 3. 国网浙江省电力有限公司湖州供电公司,浙江省湖州市 313000
- 折叠
摘要
开展了大干扰背景下电力系统摇摆方程的侵入式谐波解研究.首先,针对二次微分代数系统的初值问题,提出了系统化的二次型谐波平衡方法;其次,将电网运动方程映射至解耦空间,扩展了摇摆方程的高阶分块解耦形式,并借助二次型谐波平衡方法,给出了摇摆方程的侵入式谐波解;然后,基于该谐波解分析了电网稳定运动形态特征的数学机理,建立了电力系统暂态稳定的非线性状态-输出方程;最后,单机无穷大系统、IEEE 3机9节点系统的仿真算例进一步验证了所提方法及理论分析的有效性.
Abstract
The invasive analytical harmonic solution of the swing equation is derived. Firstly, aiming at the initial value problem of quadratic differential algebraic systems, a systematic quadratic harmonic balance method is proposed.Secondly, the power grid motion equation is mapped to the decoupled space, extending the high-order block decoupling form of the swing equation, and the invasive harmonic solution of the oscillation equation is given by using the proposed harmonic balance method. Then, the morphological characteristics of the stable motion of the power grid are analyzed based on the harmonic solution, and the transient nonlinear state-output equation is established. Finally, the simulations of the single-machine infinite bus system and IEEE 3-machine 9-bus system verify the effectiveness of the proposed method and theoretical analysis.
关键词
摇摆方程/功角动态/谐波平衡法/暂态稳定Key words
swing equation/power angle dynamic/harmonic balance method/transient stability引用本文复制引用
基金项目
国家电网总部科技项目(5108-202218280A-2-437-XG)
出版年
2024
国家科技期刊平台
NSTL
维普
万方数据