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首页> 外文期刊>WSEAS Transactions on Power Systems >Computation of Time Delay Margins for Stability of a Single-Area Load Frequency Control System with Communication Delays
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Computation of Time Delay Margins for Stability of a Single-Area Load Frequency Control System with Communication Delays

机译：具有通信延迟的单区域负载频率控制系统稳定性的时延裕度计算

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摘要

Time delays have become unavoidable in power systems since communication links are extensively used for sending and receiving control signals. This paper investigates the effect of time delays on the stability of a single-area load Frequency Control (LFC) system. A direct and exact method to compute delay margins is presented. The delay margin is the maximum amount of the time delay that the system can tolerate before it becomes unstable for a given operating point. The proposed method starts with the determination of all possible purely imaginary characteristic roots for any positive time delay. To achieve this, Rekasius substitution is first used to convert the transcendental characteristic equation of the LFC system into a polynomial. Then, Routh stability criterion is applied to determine the critical root, the corresponding oscillation frequency and the delay margin for stability. For a wide range of controller gains, delay margins of LFC system are determined to find out the qualitative effect of controller gains on the delay margin. Finally, theoretical delay margin results are verified by using the time-domain simulation capabilities of Matlab/Simulink.
机译：由于通信链路被广泛用于发送和接收控制信号，因此在电力系统中不可避免地会出现时间延迟。本文研究了时延对单区域负载频率控制（LFC）系统稳定性的影响。提出了一种直接而精确的方法来计算延迟余量。延迟裕度是系统在给定工作点变得不稳定之前可以忍受的最大时间延迟量。所提出的方法从确定任何正时延的所有可能的纯虚特性根开始。为此，首先使用Rekasius替换将LFC系统的先验特征方程转换为多项式。然后，使用劳斯稳定性判据来确定临界根，相应的振荡频率和稳定性的延迟裕度。对于较大范围的控制器增益，确定LFC系统的延迟裕度，以找出控制器增益对延迟裕度的定性影响。最后，通过使用Matlab / Simulink的时域仿真功能验证了理论延迟余量结果。

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