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This paper investigates detailed flexible approach for incorporating various flexible alternating current transmission systems (FACTS) controllers in multimachine power system environment such as static var compensator (SVC) and thyristor controlled series capacitor (TCSC) in order to improve power system stability. The incorporation of FACTS devices into multimachine power system requires the development of the mathematical model of the power system with FACTS controllers. The differential algebraic equation (DAE) model of multimachine power system with FACTS controllers such as SVC and TCSC devices has been developed in this paper. Despite the fact that SVC and TCSC devices have been incorporated individually in DAE model of multimachine system, the DAE model with coordination of FACTS controllers has not been developed. So, the methodology of incorporation of series and shunt FACTS controllers in coordinated control manner in the DAE model of power system has been developed in this paper. Thus, the objective of this paper is to develop a general methodology of DAE model of power system with incorporation of series and shunt FACTS controllers in individual and coordinated control manner in order to improve power system stability. The western system coordinating council (WSCC) 3-machine, 9-bus system is used to illustrate the application of all proposed models and techniques. [ABSTRACT FROM AUTHOR]

This paper proposes a novel hybrid algorithm combining chaotic Jaya (CJaya) and sequential quadratic programming (SQP), namely CJaya-SQP, for solving the coordinated design problem of static var compensator (SVC) and power system stabilizers (PSSs). The CJaya serves as a global optimizer and the SQP as a local optimizer for fine-tuning the solution. In the proposed algorithm, chaotic maps are used to generate the initial solutions and control the search process. In order to prove the performance of the CJaya-SQP, a set of benchmark optimization problems is used where the results are compared with those of the basic Jaya and other recognized algorithms. The proposed optimization method is then applied for the optimal tuning of PSSs and SVC controllers in such a way that damping ratios and damping factors of the electromechanical modes are optimally improved. To illustrate the robustness of the CJaya-SQP-based coordinated PSSs and SVC controllers, the four-machine, two-area system is used. Eigenvalue analysis and nonlinear time-domain simulation vividly show that the CJaya-SQP-based coordinated controllers improve greatly the system's dynamic stability with a robust damping of local and inter-area power oscillations. [ABSTRACT FROM AUTHOR]