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With the development of power system interconnection, the low-frequency oscillation is becoming more and more prominent which may cause system separation and loss of energy to consumers. This paper presents an innovative robust control for power systems in which the operating conditions are changing continuously due to load changes. However, practical implementation of robust control can be fragile due to controller inaccuracies (tolerance of resistors used with operational amplifiers). A new design of resilient (non-fragile) robust control is given that takes into consideration both model and controller uncertainties by an iterative solution of a set of linear matrix inequalities (LMI). Both uncertainties are cast into a norm-bounded structure. A sufficient condition is derived to achieve the desired settling time for damping power system oscillations in face of plant and controller uncertainties. Furthermore, an improved controller design, resilient guaranteed cost controller, is derived to achieve oscillations damping in a guaranteed cost manner. The effectiveness of the algorithm is shown for a single machine infinite bus system, and then, it is extended to multi-area power system. | Journal of Advanced Research 2014 5 377-385 Cairo University Journal of Advanced Research ORIGINAL ARTICLE Resilient guaranteed cost control of a power system CrossMark Hisham M. Soliman a Mostafa H. Soliman a 1 Mohammad. F. Hassan b a Electrical Engineering Department Cairo University Giza 12613 Egypt b Electrical Engineering Department College of Engineering and Petroleum Kuwait University Safat Kuwait ARTICLE INFO ABSTRACT Article history Received 16 April 2013 Received in revised form 20 May 2013 Accepted 8 June 2013 Available online 17 June 2013 Keywords Power system dynamic stability Robust control Resilient control LMI With the development of power system interconnection the low-frequency oscillation is becoming more and more prominent which may cause system separation and loss of energy to consumers. This paper presents an innovative robust control for power systems in which the operating conditions are changing continuously due to load changes. However practical implementation of robust control can be fragile due to controller inaccuracies tolerance of resistors used with operational amplifiers . A new design of resilient non-fragile robust control is given that takes into consideration both model and controller uncertainties by an iterative solution of a set of linear matrix inequalities LMI . Both uncertainties are cast into a norm-bounded structure. A sufficient condition is derived to achieve the desired settling time for damping power system oscillations in face of plant and controller uncertainties. Furthermore an improved controller design resilient guaranteed cost controller is derived to achieve oscillations damping in a guaranteed cost manner. The effectiveness of the algorithm is shown for a single machine infinite bus system and then it is extended to multi-area power system. 2013 Production and hosting by Elsevier B.V. on behalf of Cairo University. Introduction Power system stability is the property of a power system that describes its .
