Abstract
In this study, Firefly Algorithm and Amalgamated Firefly Algorithm with Migration Effect of Biogeography Based Optimization techniques are proposed to optimize the proportional, integral and derivative gains of PID controller in two equal areas Interconnected Power System for quenching the deviations of frequency and make the tie line power flow deviation to zero. The considered performance index for minimization is Integral of Time weighted Absolute value of Error. Two different operating conditions are taken. First operating condition is taken as, the occurrence of 5% step load perturbation in area 1 and 10% step load perturbation in area 2. Second operating condition is taken as, the occurrence of 15% step load perturbation in area 1 and 10% step load perturbation in area 2. Importance of this interconnected power system is to provide reliable and efficient power to consumers. For this reason, the responses are analyzed and discussed. Finally, it is concluded with the identification of better optimization technique which provides solution for supply of reliable and efficient power to consumers in an interconnected power system. From the response and analysis, amalgamated firefly algorithm with migration effect of biogeography based optimization gives better performance compared from firefly algorithm. Migration effect of biogeography based optimization technique improves the local search of firefly algorithm in the amalgamated performance.
Highlights
Necessity of interconnected power system is to maintain the constant frequency and make the tie line power flow deviation to zero under normal and perturbation conditions
The conventional PID controllers in two area interconnected power system are given in expressions
The mathematical expression for attractiveness β of a firefly is given in Eq (18): Amalgamated Firefly Algorithm (FA) with migration effect of Biogeography Based Optimization (BBO): Firefly algorithm gives better response than β = β οe− γr 2 biogeography based optimization technique
Summary
Necessity of interconnected power system is to maintain the constant frequency and make the tie line power flow deviation to zero under normal and perturbation conditions. Firefly algorithm and amalgamated firefly algorithm with the migration effect of biogeography based optimization techniques are proposed to optimize the PID controller in interconnected power system. Many scientists investigated Minimization of Integral of Time weighted Absolute value of Error (ITAE) gives better performance compared to ISE criterion and Ziegler-Nichols tuning (Martins, 2005; Panda et al, 2010; Duman and Yörükeren, 2012; Krishna Kumar, 2012; Jeevithavenkatachalam and Rajalaxmi, 2013). Two optimization techniques are proposed to optimize the proportional, integral and derivative gains of PID controllers for two equal area interconnected power system with ITAE criterion. The techniques are firefly algorithm and amalgamation of firefly algorithm with migration effect of biogeography based optimization
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