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Dr. Mahmoud Soliman Helal :: Publications:

Robust Decentralized PID-Based Power System Stabilizer Design Using an ILMI Approach
Authors: M. Soliman, A-L Shafei, F. Bendary, W. Mansour
Year: 2010
Keywords: Power system stability PID Static output feedback (SOF) LMI Robustness Decentralized control
Journal: Electric power system research
Volume: 80
Issue: 12
Pages: 1488-1497
Publisher: Elsevier
Local/International: International
Paper Link: Not Available
Full paper Mahmoud Soliman Helal_EPSR3076.pdf
Supplementary materials Not Available

Thanks to its essential functionality and structure simplicity, proportional-integral-derivative (PID) controllers are commonly used by industrial utilities. A robust PID-based power system stabilizer (PSS) is proposed to properly function over a wide range of operating conditions. Uncertainties in plant parameters, due to variation in generation and load patterns, are expressed in the form of a polytopic model. The PID control problem is firstly reduced to a generalized static output feedback (SOF) synthesis. The derivative action is designed and implemented as a high-pass filter based on a low-pass block to reduce its sensitivity to sensor noise. The proposed design algorithm adopts a quadratic Lyapunov approach to guarantee -decay rate for the entire polytope. A constrained structure of Lyapunov function and SOF gain matrix is considered to enforce a decentralized scheme. Setting of controller parameters is carried out via an iterative linear matrix inequality (ILMI). Simulation results, based on a benchmark model of a two-area four-machine test system, are presented to compare the proposed design to a well-tuned conventional PSS and to the standard IEEE-PSS4B stabilizer

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