Abstract
This article presents modified particle swarm optimization to solve the non-smooth non-convex combined heat and power economic dispatch problem. Valve-point loading and prohibited operating zones of conventional thermal generators are taken into account. Particle swarm optimization performs well for small-dimensional and less complicated problems but fails to locate global minima for complex multi-minima functions. This article proposes Gaussian random variables in the velocity term, which improves search efficiency and guarantees a high probability of obtaining the global optimum without significantly impairing the speed of convergence and the simplicity of the structure of particle swarm optimization. The effectiveness of the proposed method has been verified on two test systems. The results of the proposed approach are compared with those obtained by other evolutionary methods. It is found that the proposed modified particle swarm optimization based approach is able to provide a better solution.
NOMENCLATURE
ai, bi, di, ei, fi | = | cost coefficients of ith conventional thermal generating unit |
CT | = | total production cost |
Cti, Cci, Chi | = | fuel characteristics of the conventional thermal generating, cogeneration, and heat-only units, respectively |
HD | = | system heat demand |
Hhi | = | heat output of ith heat-only unit |
Hminhi, Hmaxhi | = | lower and upper heat production limits of the ith heat-only unit |
Pci, Hci | = | power output and heat output of ith cogeneration unit |
PD | = | system power demand |
PL | = | transmission loss |
Pti | = | power output of ith conventional thermal generating unit |
Pminti, Pmaxti | = | lower and upper power capacity limits of ith conventional thermal generating unit |
Nt, Nc, Nh | = | numbers of conventional thermal generating, cogeneration, and heat-only units respectively |
αi, βi, γi, δi, ϵi, ξi | = | cost coefficients of ith cogeneration unit |
φi, ηi, λi | = | cost coefficients of ith heat-only unit |
Additional information
Notes on contributors
Mousumi Basu
Mousumi Basu received her bachelor's degree, master's degree, and Ph.D. from Jadavpur Universty, Kolkata, India, in 1991, 1993, and 2003, respectively. Her research is focused on power system optimization and soft computing techniques.