Energies 2012, 5(9), 3655-3673; doi:10.3390/en5093655
Article

An Improved Quantum-Behaved Particle Swarm Optimization Method for Economic Dispatch Problems with Multiple Fuel Options and Valve-Points Effects

1 Shanghai Key Laboratory of Power Automation Technology, School of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, China 2 Intelligent Systems and Control Group, School of Electronics, Electrical Engineering and Computer Science, Queen’s University of Belfast, Belfast BT9 5AH, UK
* Author to whom correspondence should be addressed.
Received: 2 July 2012; in revised form: 10 August 2012 / Accepted: 22 August 2012 / Published: 19 September 2012
(This article belongs to the Special Issue Hybrid Advanced Techniques for Forecasting in Energy Sector)
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Abstract: Quantum-behaved particle swarm optimization (QPSO) is an efficient and powerful population-based optimization technique, which is inspired by the conventional particle swarm optimization (PSO) and quantum mechanics theories. In this paper, an improved QPSO named SQPSO is proposed, which combines QPSO with a selective probability operator to solve the economic dispatch (ED) problems with valve-point effects and multiple fuel options. To show the performance of the proposed SQPSO, it is tested on five standard benchmark functions and two ED benchmark problems, including a 40-unit ED problem with valve-point effects and a 10-unit ED problem with multiple fuel options. The results are compared with differential evolution (DE), particle swarm optimization (PSO) and basic QPSO, as well as a number of other methods reported in the literature in terms of solution quality, convergence speed and robustness. The simulation results confirm that the proposed SQPSO is effective and reliable for both function optimization and ED problems.
Keywords: economic dispatch; quantum-behaved particle swarm optimization; valve-point effects; multiple fuel options

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MDPI and ACS Style

Niu, Q.; Zhou, Z.; Zhang, H.-Y.; Deng, J. An Improved Quantum-Behaved Particle Swarm Optimization Method for Economic Dispatch Problems with Multiple Fuel Options and Valve-Points Effects. Energies 2012, 5, 3655-3673.

AMA Style

Niu Q, Zhou Z, Zhang H-Y, Deng J. An Improved Quantum-Behaved Particle Swarm Optimization Method for Economic Dispatch Problems with Multiple Fuel Options and Valve-Points Effects. Energies. 2012; 5(9):3655-3673.

Chicago/Turabian Style

Niu, Qun; Zhou, Zhuo; Zhang, Hong-Yun; Deng, Jing. 2012. "An Improved Quantum-Behaved Particle Swarm Optimization Method for Economic Dispatch Problems with Multiple Fuel Options and Valve-Points Effects." Energies 5, no. 9: 3655-3673.

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