International Journal of Engineering and Applied Sciences (IJEAS)

82 www.ijeas.org  Abstract—This paper presents a hybrid differential evolution with multiplier updating (HDE-MU) to solve the complex combined heat and power economic dispatch (CHPED) problems. Transmission losses and valve-point effects of conventional thermal generators are taken into account. 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 system constraints of the CHPED problem. The proposed HDE-MU integrates the HDE with the MU. A practical CHPED system is employed to demonstrate that the proposed algorithm has the benefits of straightforwardness; ease of implementation; better effectiveness than the previous methods, and the requirement for only a small population when applied to the CHPED operation.