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An improved differential evolution algorithm for the economic load dispatch problems with or without valve-point effects

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  • Zou, Dexuan
  • Li, Steven
  • Wang, Gai-Ge
  • Li, Zongyan
  • Ouyang, Haibin

Abstract

This paper presents an improved differential evolution (IDE) algorithm for economic load dispatch (ELD) problems with or without valve-point effects (VPE). The proposed IDE is different from the traditional differential evolution (DE) algorithm in three aspects: first, two mutation operators are used to generate mutant vectors; second, a dynamical crossover rate is used to update trail vectors; third, a useful population randomization is adopted to overcome the premature convergence. In addition, a modified repair process is introduced to handle the constraint violations. Eight cases are selected to testify the performance of four DE approaches on solving ELD problems. According to our empirical results, IDE makes slight improvements on the objective function values from the literature. However, it can always find the solutions satisfying the equality constraints. Most importantly, the IDE can achieve much smaller variances than other DEs on the majority of the test problems, indicating that it has strong stability on solving ELD problems.

Suggested Citation

  • Zou, Dexuan & Li, Steven & Wang, Gai-Ge & Li, Zongyan & Ouyang, Haibin, 2016. "An improved differential evolution algorithm for the economic load dispatch problems with or without valve-point effects," Applied Energy, Elsevier, vol. 181(C), pages 375-390.
    • Handle: RePEc:eee:appene:v:181:y:2016:i:c:p:375-390
    DOI: 10.1016/j.apenergy.2016.08.067
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    20. Loau Al-Bahrani & Mehdi Seyedmahmoudian & Ben Horan & Alex Stojcevski, 2021. "Solving the Real Power Limitations in the Dynamic Economic Dispatch of Large-Scale Thermal Power Units under the Effects of Valve-Point Loading and Ramp-Rate Limitations," Sustainability, MDPI, vol. 13(3), pages 1-26, January.
    21. Zhang, Le & Khishe, Mohammad & Mohammadi, Mokhtar & Mohammed, Adil Hussein, 2022. "Environmental economic dispatch optimization using niching penalized chimp algorithm," Energy, Elsevier, vol. 261(PA).
    22. Jiang Li & Lihong Guo & Yan Li & Chang Liu, 2019. "Enhancing Elephant Herding Optimization with Novel Individual Updating Strategies for Large-Scale Optimization Problems," Mathematics, MDPI, vol. 7(5), pages 1-35, April.
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    24. Ye, Chengjin & Ding, Yi & Song, Yonghua & Lin, Zhenzhi & Wang, Lei, 2018. "A data driven multi-state model for distribution system flexible planning utilizing hierarchical parallel computing," Applied Energy, Elsevier, vol. 232(C), pages 9-25.

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