7Design of Type-2 Fuzzy Controller for Hybrid Multi-Area Power System

Susmit Chakraborty1, Arindam Mondal2* and Soumen Biswas2

1Department of Electrical & Electronics Engineering, Pailan College of Management & Technology, Kolkata, India

2Department of Electrical Engineering, Dr. B C Roy Engineering College, Durgapur, India

Abstract

In this chapter, a new fuzzy method named as interval type-2 fuzzy inference systems (IT2FIS) is proposed along with Fractional order PID (FOPID) controller to control tie-bar power error and frequency error of power system containing multi area. Two area system containing conventional as well as non-conventional sources like solar-thermal and wind-hydroelectric systems are studied in this chapter. Type-2-fuzzy parameters are trained by Levenberg–Marquardt algorithm (LMA). A comparison is done for the responses of the systems when controlled by PID-type-2-fuzzy combined controller and FOPID-type-2-fuzzy combined controller. PID parameters (Kp, Ki, Kd) are optimized using metaheuristic Chaotic Atomic Search Optimization (CASO) algorithm. Simulation results are analysed though the obtained parameters such as settling time, overshoot and undershoot when the system is controlled by both the complex controllers with and without disturbances and the same is compared with the results obtained using conventional PID controller. The mathematical formulations along with the simulation results are illustrated using MATLAB to prove the efficacy of the proposed ...

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