Hybrid differential evolution for cogeneration economic dispatch problem

This paper proposes a hybrid differential evolution with multiplier updating (HDE-MU) to solve cogeneration economic dispatch (CED) problems. The hybrid differential evolution (HDE) has the ability to efficiently search and actively explore solutions. Multiplier updating (MU) is introduced to avoid deforming the augmented Lagrange function (ALF), which is adopted to manage the system constraints of CED Problems. The proposed HDE-MU integrates the HDE with the MU. Two cogeneration examples are employed to demonstrate that the proposed algorithm has the benefits of straightforwardness; ease of implementation; better effectiveness than previous methods; better effectiveness and efficiency than the traditional differential evolution (DE); automatic adjustment of the randomly assigned penalty to an appropriate value, and the requirement for only a small population when applied to CED operations.