Modeling and Simulation of an Isolated CCGT and DSTS Plant Using BWO Optimized PI^λD^μ Controller for Amalgamated Control of Voltage and Frequency

Abstract

This article highlights the modeling and simulation of a pragmatic isolated power system consisting of a combined cycle gas turbine (CCGT) plant and a dish-Stirling solar thermal (DSTS) plant for the combined frequency and voltage control system. The system is provided with the adequate generation rate constraint of 5%/minute and the boiler system as non-linearities for a more realistic study. For the secondary, airflow, temperature, and AVR loop controller, the fractional-order proportional integral derivative (PI^λD^μ) controller is proposed, and the output of the same is evaluated by comparing with other integer-order controllers. The gains from the controller and other parameters are optimized concurrently using the black widow optimization (BWO) algorithm. The analysis of responses reveals that the PI^λD^μ controller is preeminent than the other classical controllers. The influence of the DSTS plant on the isolated system is investigated and shows that the incorporation of the DSTS plant contributes to improved system dynamics in terms of the time-domain indices. Analyzing the consequences of non-linearities of the system reveal that responses have continually oscillated. Simulation results corroborate the efficiency of the suggested control technique.

Appendix

Ambient temperature, T_i = 300 ℃, compressor discharge temperature, T_d = 3900 ℃, gas turbine exhaust temperature, T_e = 5460 ℃, specific ratio of heat = 1.4, efficiency of compressor = 0.85, time constant for governor, T_g = 0.08 s, turbine time constant, T_t = 0.3 s, thermocouple time constant, T_th = 2.5 s, K_a = 0.8, K_b = 0.2, time constant of valve position, T_v = 0.1 s, time constant of fuel, T_f = 0.4 s, time constant of compressor volume, T_cd = 0.2 s, tune metal heat capacitance, T_m = 5 s, time constant of IGV, T_igv = 0.05 s, inertia constant, inertia constant = 5 s, D = 0.00833 pu MW/Hz, frequency bias = 0.425 pu MW/Hz, R = 2.4 pu Hz/MW, K_Pi = 120 Hz/puMW, T_pi = 20 s, K_DSTS = 1, T_DSTS = 5 s. K₁ = 1, K₂ = −0.1, K₃ = 0.5, K₄ = 1.4, K₅ = 0.1455, K₆ = 0.35.

Genetic algorithm (GA): population count = 45, iteration max count = 120, ratio = 0.8, mutation ratio = 0.3, particles swarm optimization (PSO): population count = 45, iteration max count = 100, firefly algorithm (FA): iteration count = 100, population count = 50, α = 0.5, β = 0.2, γ = 0.5.