Delay-dependent stability analysis for load frequency control systems with two delay components

2018 ◽  
Author(s):  
Pipi Liu ◽  
Zhanjun Huang ◽  
Yipeng Liu ◽  
Zhanshan Wang
Keyword(s):  
Stability Analysis ◽  
Control Systems ◽  
Frequency Control ◽  
Load Frequency Control ◽  
Load Frequency ◽  
Delay Dependent ◽  
Delay Dependent Stability

Gain and phase margins based delay-dependent stability analysis of single-area load frequency control system with constant communication time delay

2017 ◽  
Vol 40 (5) ◽  
pp. 1701-1710 ◽  
Author(s):  
Şahin Sönmez ◽  
Saffet Ayasun
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Characteristic Equation ◽  
Frequency Control ◽  
Pi Controller ◽  
Load Frequency Control ◽  
Communication Delays ◽  
Load Frequency ◽  
Delay Dependent ◽  
Delay Dependent Stability

This paper presents a comprehensive stability analysis of a single-area load frequency control (LFC) system with constant communication delays. First, an exact method that takes into account both gain and phase margins is proposed to determine stability delay margins in terms of system and controller parameters. The method implements an elimination procedure to transform transcendental characteristic equation into a standard polynomial of the crossing frequency. The real roots of this new standard polynomial exactly match with the purely imaginary roots (crossing frequencies) of the original characteristic equation with transcendental terms. Secondly, an effective and simple graphical method is implemented to compute all stabilizing Proportional Integral (PI) controller gains for a given time delay. The approach is based on extracting stability region and the stability boundary locus in the PI controller parameter space having user defined gain and phase margins, and relative stability. The time-domain simulation studies indicate that the proposed scheme improves dynamic performance gain and phase margins are included in delay-dependent stability analysis of single-area LFC with communication delays.

Delay-Dependent Stability Analysis of Network-Based Load Frequency Control of One and Two Area Power System with Time-Varying Delays

2019 ◽  
Vol 18 (03) ◽  
pp. 1950007 ◽  
Author(s):  
S. Manikandan ◽  
Priyanka Kokil
Keyword(s):  
Time Delay ◽  
Stability Criterion ◽  
Frequency Control ◽  
Load Frequency Control ◽  
Time Varying ◽  
Control Center ◽  
Load Frequency ◽  
Plant Site ◽  
Delay Dependent ◽  
Delay Dependent Stability

Network-based load frequency control (LFC) requires data transmission from the plant site to the control center and control center to the plant site. Communication delays resulting from an open communication network impart time-varying nature to network delay. This time-varying delay may debase the dynamic performance or instability of the LFC systems. Stability of the LFC system is investigated by Lyapunov–Krasovskii functional (LKF) analysis and linear matrix inequalities (LMIs) techniques. In this paper, a less conservative delay-dependent stability criterion is derived for the time-delay system by proper constructing of LKF and imposing tighter bounding of integral terms on time-derivative of LKF. Delay margin is obtained by solving proposed stability criterion for a time-delay LFC system equipped with a proportional-integral controller. The adequacy of the proposed result is confirmed using simulation studies.

scholarly journals Further Results on Delay-Dependent Stability of Multi-Area Load Frequency Control

2013 ◽  
Vol 28 (4) ◽  
pp. 4465-4474 ◽  
Author(s):  
Chuan-Ke Zhang ◽  
L. Jiang ◽  
Q. H. Wu ◽  
Yong He ◽  
Min Wu
Keyword(s):  
Frequency Control ◽  
Load Frequency Control ◽  
Load Frequency ◽  
Delay Dependent ◽  
Delay Dependent Stability
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