Contingency‐Constrained Optimal Power Flow Using Simplex‐Based Chaotic‐PSO Algorithm

Abstract

This paper proposes solving contingency-constrained optimal power flow (CC-OPF) by a simplex-based chaotic particle swarm optimization (SCPSO). The associated objective of CC-OPF with the considered valve-point loading effects of generators is to minimize the total generation cost, to reduce transmission loss, and to improve the bus-voltage profile under normal or postcontingent states. The proposed SCPSO method, which involves the chaotic map and the downhill simplex search, can avoid the premature convergence of PSO and escape local minima. The effectiveness of the proposed method is demonstrated in two power systems with contingency constraints and compared with other stochastic techniques in terms of solution quality and convergence rate. The experimental results show that the SCPSO-based CC-OPF method has suitable mutation schemes, thus showing robustness and effectiveness in solving contingency-constrained OPF problems.

Solution of large‐scale security constrained optimal power flow by a new bi‐level optimisation approach based on enhanced gravitational search algorithm

“…The best, average and worst results, among 20 trial runs, obtained from the proposed EGSA and bi-level approach for this test case are compared with the results of EP [27], mixed integer genetic algorithm (MIGA) [27] and simplex-based chaotic-PSO (SCPSO) [28] in Table 6. It is seen that the best, average and worst results of the bi-level approach are better than the best, average and worst results of the other methods of Table 6 (only the best cost of SCPSO is reported in [28]). Even the worst result of the bi-level approach is better than the best result of the other methods.…”

Improved group search optimization method for optimal power flow problem considering valve-point loading effects

“…Evaluate the fitness values of the scroungers and rangers using (18). If the scroungers and rangers find better positions, then they move to the positions; otherwise, they keep still.…”

“…In [17], both the valvepoint loading effects and transmission security under line outage condition are considered, and the GA with arithmetic crossover and mutation strategy was adopted to solve this problem. In [18], a simplex-based chaotic PSO was proposed to solve the securityconstrained OPF_VPLE problem. The problems in [17][18] can be also regarded as multi-objective optimization problems.…”

“…In [18], a simplex-based chaotic PSO was proposed to solve the securityconstrained OPF_VPLE problem. The problems in [17][18] can be also regarded as multi-objective optimization problems. In [19], Sivasubraman et al proposed a hybrid differential evolution (DE) algorithm and sequential quadratic programming method for the OPF_VPLE problem.…”

Tuning and Retuning of PID Controller for Unstable Systems Using Evolutionary Algorithm

“…Each particle remembers its best position obtained so far, which is denoted as pbest (P t i ). It also receives the globally best position achieved by any particle in the population, which is denoted as gbest (G t i ) [20][21][22][23][24][25]. The updated velocity of each particle can be calculated using the present velocity and the distances from pbest and gbest.…”