Optimization of economic/emission load dispatch for hybrid generating systems using controlled Elitist NSGA-II

Abstract

A model is developed for stochastic economic/emission dispatch of thermal/wind/solar 
hybrid generation system taking into account cost of modern thermal units with multiple 
valves point effect, polluting gases emission and factors for both overestimation and 
underestimation of available wind and photovoltaic power. The technique proposed in 
this work uses novel probability density functions (pdf) of wind power and clearness 
index to model the wind power and solar irradiance.
A multi-objective controlled elitistNSGA-II procedure is proposed to derive a set of 
Pareto-optimal hybrid system configuration in terms of cost and emission with good 
diversity. Controlled elitist-NSGA-II favors, not only individuals with better fitness 
value (rank) as in elitist NSGA-II but also individuals that can help increase the diversity 
of the population even if they have a lower fitness value. The best compromise solution 
has been obtained using Fuzzy cardinal priority ranking. Optimal solutions are presented 
for various values of the input parameters, and these solutions demonstrate that the 
allocation of system generation capacity may be influenced by multipliers related to the 
risk of overestimation and to the cost of underestimation of available wind and solar power.
A numerical example, including six fossil-fuel-fired generators (FFGs), two Wind Energy 
Conversion Systems (WECS), and two Photo Voltaic (PV) systems is presented.
To validate the effectiveness of the algorithm, results are compared with techniques 
given in literatures. (C) 2013 Elsevier B.V. All rights reserved.