NDLI: Comprehensive gain and phase margins based stability analysis of micro-grid frequency control system with constant communication time delays

Content Provider	IET Digital Library
Author	Gündüz, Hakan Sönmez, Şahin Ayasun, Saffet
Abstract	This study presents a comprehensive delay-dependent stability analysis of a micro-grid system with constant communication delays. First, an exact method that takes into account both gain and phase margins (GPMs) 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. Second, an effective and simple graphical method is implemented to compute all stabilising 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 GPMs, and relative stability. The time-domain simulation studies indicate that the proposed schemes give better desired dynamic performance as compared with the recently developed schemes for micro-grid with communication delays.
Starting Page	719
Ending Page	729
Page Count	11
ISSN	17518687
Volume Number	11
e-ISSN	17518695
Issue Number	Issue 3, Feb (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-gtd/11/3
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-gtd.2016.0644
Journal	IET Generation, Transmission & Distribution
Publisher Date	2017-02-16
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Comprehensive Delay-dependent Stability Analysis Comprehensive Gain-phase Margin-based Stability Analysis Constant Communication Time Delay Control of Electric Power System Crossing Frequency Delay Distributed Parameter Control System Distributed Power Generation Dynamic Performance Frequency Control GPM Graphical Method Microgrid Frequency Control System Original Characteristic Equation PI Control PI Controller Gain PI Controller Parameter Space Power System Stability Proportional Integral Controller Gain Relative Stability Time Domain Analysis Time-domain Simulation Transcendental Characteristic Equation
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Energy Engineering and Power Technology Electrical and Electronic Engineering

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