时滞诱导电力系统动态调频稳定性变化的原因探究
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摘要
针对电力系统动态调频过程中的时滞问题,分析给出了时滞诱导系统向不稳定状态发展的原因。首先推导了电力系统动态调频的时滞模型,分析时滞模型的结构和成分;进而通过Padé逼近处理时滞环节,将时滞和模型系数耦合建立时滞系数矩阵,用于追踪时滞系统的特征根变动轨迹。利用典型的电力系统动态调频系统发现,时滞和其所在回路的控制参数作用于相同的主导特征根,其中时滞可以通过超低频振荡的方式逐渐恶化电力系统频率的稳定性。
In light of the time-delay problem in the dynamic frequency regulation of power system,the causes of instability induced by time delay are given. First,a time-delay model of power system under dynamic frequency regulation is derived,and its structure and components are analyzed. Then,the time delay link is processed through the Padé approximation,and a time-delay coefficient matrix is established by coupling the time-delay and model coefficients,which is further used to trace the changing locus of eigenvalues of the time delay system. With the utilization of a typical power system under dynamic frequency regulation,it is found that the time delay and control parameters for the corresponding loop affect the same dominant eigenvalues,and the time delay therein gradually deteriorates the frequency stability of the power system through ultra-low frequency oscillation.
In light of the time-delay problem in the dynamic frequency regulation of power system,the causes of instability induced by time delay are given. First,a time-delay model of power system under dynamic frequency regulation is derived,and its structure and components are analyzed. Then,the time delay link is processed through the Padé approximation,and a time-delay coefficient matrix is established by coupling the time-delay and model coefficients,which is further used to trace the changing locus of eigenvalues of the time delay system. With the utilization of a typical power system under dynamic frequency regulation,it is found that the time delay and control parameters for the corresponding loop affect the same dominant eigenvalues,and the time delay therein gradually deteriorates the frequency stability of the power system through ultra-low frequency oscillation.
引文
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[5]Jiang L,Yao W,Wen J Y,et al.Delay-dependent stability for load frequency control with constant and time-varying delays[J].IEEE Trans on Power Systems,2012,27(2):932-941.
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[8]Sonmez S,Ayasun S,Nwankpa C O.An exact method for computing delay margin for stability of load frequency control systems with constant communication delays[J].IEEE Trans on Power Systems,2016,31(1):370-377.
[9]Yu Xiaofeng,Tomsovic Kevin.Application of linear matrix inequalities for load frequency control with communication delays[J].IEEE Trans on Power Systems,2004,19(3):1508-1515.
[10]Fu Caifen,Tan Wen.Decentralised load frequency control for power systems with communication delays via active disturbance rejection[J].IET Generation Transmission&Distribution,2018,12(6):1397-1403.
[11]Kundur P.Power System Stability and Control[M].New York:McGraw-Hill,1994.
[12]Probst A,Magana M E,Sawodny O.Using a Kalman filter and a Pade approximation to estimate random time delays in a networked feedback control system[J].IET Control Theory&Applications,2010,4(11):2263-2272.