# A New Constraint Handling Method for Economic Dispatch

• Li, Xueping ;
• Xiao, Canwei ;
• Lu, Zhigang
• Accepted : 2018.01.26
• Published : 2018.05.01
• 223 6

#### Abstract

For practical consideration, economic dispatch (ED) problems in power system have non-smooth cost functions with equality and inequality constraints that makes the problems complex constrained nonlinear optimization problems. This paper proposes a new constraint handling method for equality and inequality constraints which is employed to solve ED problems, where the incremental rate is employed to enhance the modification process. In order to prove the applicability of the proposed method, the study cases are tested based on the classical particle swarm optimization (PSO) and differential evolution (DE) algorithm. The proposed method is evaluated for ED problems using six different test systems: 6-, 15-, 20-, 38-, 110- and 140-generators system. Simulation results show that it can always find the satisfactory solutions while satisfying the constraints.

#### Keywords

Economic dispatch;Constraint handling;Incremental rate;Particle swarm optimization;Differential evolution

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#### Acknowledgement

Supported by : National Natural Science Foundation of China, Natural Science Foundation of Hebei Province, China Postdoctoral Science Foundation