Abstract
In this chapter, the application of multi-objective imperialist competitive algorithm is investigated for solving economic and emission dispatch problem. It is aimed to minimize two conflicting objectives, economic and environmental, while satisfying the problem constraints. In addition, nonlinear characteristics of generators such as prohibited zone and ramp up/down limits are considered. To check applicability of the MOICA, it is applied to 12 h of IEEE 30-bus test system. Then, results of MOICA are compared with those derived by non-dominated sorting genetic algorithm and multi-objective particle swarm optimizer. The finding indicates that MOICA exhibits better performance.
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Abbreviations
- C(PG):
-
Total cost of power generation
- E(PG):
-
Total emission
- PLoss:
-
Total network loss
- Pi:
-
Power generated at ith unit
- PL,i:
-
Power flow of ith line
- PD:
-
Total load demand
- P0i:
-
Output power of ith unit in previous dispatch interval
- ai, bi, ci, ei, fi:
-
Fuel cost coefficients of ith unit
- \(\alpha_{i} ,\beta_{i} ,\gamma_{i} ,\xi_{i} ,\lambda_{i}\) :
-
Emission coefficients of ith unit
- URi/DRi:
-
Up-ramp/down-ramp limits of ith unit
- f i :
-
ith objective function
- U(.):
-
Uniform distribution function
- ng:
-
Number of units
- nL:
-
Number of transmission lines
- nObj:
-
Number of objective functions
- npop:
-
Number of population
- \(X \preccurlyeq y\) :
-
x weakly dominates y
- \(x \prec y\) :
-
x strictly dominates y
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MATLAB Codes
MATLAB Codes
Genetic algorithm script and function.
MATLAB Code for Imperialist Competitive Algorithm
Cost calculation function:
Main MATLAB script code for multi objective particle swarm optimization
MATLAB Script and function codes for Non-Sorted Genetic Algorithm II (NSAG II):
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Dolatabadi, S., Ghassem Zadeh, S. (2020). Multi-objective Economic and Emission Dispatch Using MOICA: A Competitive Study. In: Pesaran Hajiabbas, M., Mohammadi-Ivatloo, B. (eds) Optimization of Power System Problems . Studies in Systems, Decision and Control, vol 262. Springer, Cham. https://doi.org/10.1007/978-3-030-34050-6_12
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