多维导数阶数控制的多步Taylor级数暂态稳定计算方法  

Multi-dimensional Derivative Order Controlled Multi-step Taylor Series Method for Transient Stability Calculation

作　　者：夏世威 徐英[2] 郭志忠[3] 李庚银 XIA Shiwei;XU Ying;GUO Zhizhong;LI Gengyin(State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources(North ChinaElectric Power University),Beijing 102206,China;Power Dispatching and Communication Center,North China Grid Company Limited,Beijing 100053,China;Department of Electrical Engineering,Harbin Institute of Technology,Harbin 150001,China)

机构地区：[1]新能源电力系统国家重点实验室(华北电力大学),北京102206 [2]华北电网有限公司华北电力调度通信中心,北京100053 [3]哈尔滨工业大学电气工程系,哈尔滨150001

出　　处：《电力系统及其自动化学报》2019年第3期107-112,共6页Proceedings of the CSU-EPSA

基　　金：北京市自然科学基金资助项目(3174057);中央高校基本科研业务费专项资金资助项目(2016MS14)

摘　　要：为提高电力系统暂态稳定分析效率,本文提出了多维阶数控制的多步Taylor级数暂态稳定快速计算方法。该方法基于多步Taylor级数展开理论,针对不同时间常数的机组及不同积分时刻的机组转角状态量,根据时域仿真计算精度建立了转角状态量的高阶导数阶数差异化控制策略,并从理论上分析了忽略部分高阶导数对转角轨迹的影响。所提方法可实现状态变量时间和空间上的动态多维导数阶数控制,消除常规Taylor级数法暂态稳定分析的计算冗余。New England 10机39节点算例仿真验证了所提方法可灵活方便地实现Taylor级数法的时空多维阶数控制,能有效提高暂态稳定分析效率。To enhance the efficiency of transient stability analysis of power system,a transient stability calculation method using multi-step Taylor series controlled by multi-dimensional derivative order was proposed in this paper.This method was based on the multi-step Taylor series expansion theory,and for generating sets with different time-constants and angle states at different integration moments,the corresponding differentiated strategies with high-order derivative order control were established for the angle states according to the calculation accuracy of time-domain simulation.Moreover,the effect of ignoring part of the high-order derivatives on angle tracks was analyzed theoretically.The proposed method could realize a dynamical multi-dimensional derivative order control of state variables in both time and space,and also eliminate the computation redundancy of conventional Taylor series method for transient stability analysis.Simulation results of a 10-generator 39-bus New England system verified that the proposed method could realize the spatialtemporal multi-dimensional derivative order control of Taylor series method with flexibility and convenience,and could significantly improve the efficiency of transient stability analysis.

关 键 词：电力系统 暂态稳定分析 TAYLOR级数 高阶导数 多维阶数控制 

分 类 号：TM712[电气工程—电力系统及自动化]