A Memory-Assisted Self-Adaptive Bonobo Optimizer for Economic Dispatch with Valve-Point Effects Including Combined Heat and Power Units
4 affiliations
- 1Department of Electrical and Electronics Engineering, Faculty of Engineering and Computer Science, Jazan University, Jizan 45142, Saudi Arabia
- 2Electrical Engineering Department, Faculty of Engineering, South Valley University, Qena 83523, Egypt
- 3Electrical Engineering Department, Faculty of Engineering, Suez Canal University, Ismailia 41522, Egypt
- 4Green Energy Program, Egypt-Japan KOSEN (EJ-KOSEN) Institute of Technology, 10th of Ramadan City, El Sharkia 44629, Egypt
Abstract
Combined Heat and Power Economic Dispatch (CHPED) is a nonlinear and nonconvex optimization problem involving the coordinated operation of power-only, heat-only, and combined heat-and-power units under electrical and thermal balance constraints, coupled CHP operating regions, valve-point loading effects, and transmission losses. This study proposes a Memory-Assisted Self-Adaptive Bonobo Optimizer (MSBO), which extends the original Bonobo Optimizer (BO) through old, worse, and bad memory populations, adaptive partner selection, and repulsion-based parameter learning. The retained evolutionary information is used to improve search diversity, mitigate stagnation, and regulate the exploration-exploitation balance according to search progress. MSBO is evaluated on 7-unit and 48-unit CHPED systems under both lossless and transmission-loss conditions. Repeated-run analysis shows that, for the 7-unit system, MSBO reduces the standard deviation of the final cost by 99.94% and 99.95% in the lossless and lossy cases, respectively, while the Mann–Whitney tests (p=0.1485 and p=0.4095) indicate that the principal benefit is improved repeatability rather than a significant shift in the central cost level. For the 48-unit system, MSBO achieves mean operating-cost savings of 931.09 $/h and 782.54 $/h, with highly significant Mann–Whitney results of p=3.08×10−8 and p=5.23×10−7, respectively. The estimated probabilities that an MSBO run outperforms a BO run are 91.67% and 96.50% for the two 48-unit scenarios. These results demonstrate that MSBO primarily strengthens solution reliability for the smaller CHPED system while improving both operating-cost quality and repeated-run performance for the larger-scale system.
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BibTeX
@article{daeli2026memoryassisted,
title = {{A Memory-Assisted Self-Adaptive Bonobo Optimizer for Economic Dispatch with Valve-Point Effects Including Combined Heat and Power Units}},
author = {Ahmed Daeli and Ghareeb Moustafa and Hashim Alnami and Sultan H. Hakmi and Shazly A. Mohamed and Hany S. E. Mansour},
journal = {Mathematics},
year = {2026},
month = oct,
doi = {10.3390/math14203684},
url = {https://www.mdpi.com/2227-7390/14/20/3684},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - A Memory-Assisted Self-Adaptive Bonobo Optimizer for Economic Dispatch with Valve-Point Effects Including Combined Heat and Power Units
AU - Ahmed Daeli
AU - Ghareeb Moustafa
AU - Hashim Alnami
AU - Sultan H. Hakmi
AU - Shazly A. Mohamed
AU - Hany S. E. Mansour
PY - 2026
DA - 2026/10/10
JO - Mathematics
DO - 10.3390/math14203684
UR - https://www.mdpi.com/2227-7390/14/20/3684
AB - Combined Heat and Power Economic Dispatch (CHPED) is a nonlinear and nonconvex optimization problem involving the coordinated operation of power-only, heat-only, and combined heat-and-power units under electrical and thermal balance constraints, coupled CHP operating regions, valve-point loading effects, and transmission losses. This study proposes a Memory-Assisted Self-Adaptive Bonobo Optimizer (MSBO), which extends the original Bonobo Optimizer (BO) through old, worse, and bad memory populations, adaptive partner selection, and repulsion-based parameter learning. The retained evolutionary information is used to improve search diversity, mitigate stagnation, and regulate the exploration-exploitation balance according to search progress. MSBO is evaluated on 7-unit and 48-unit CHPED systems under both lossless and transmission-loss conditions. Repeated-run analysis shows that, for the 7-unit system, MSBO reduces the standard deviation of the final cost by 99.94% and 99.95% in the lossless and lossy cases, respectively, while the Mann–Whitney tests (p=0.1485 and p=0.4095) indicate that the principal benefit is improved repeatability rather than a significant shift in the central cost level. For the 48-unit system, MSBO achieves mean operating-cost savings of 931.09 $/h and 782.54 $/h, with highly significant Mann–Whitney results of p=3.08×10−8 and p=5.23×10−7, respectively. The estimated probabilities that an MSBO run outperforms a BO run are 91.67% and 96.50% for the two 48-unit scenarios. These results demonstrate that MSBO primarily strengthens solution reliability for the smaller CHPED system while improving both operating-cost quality and repeated-run performance for the larger-scale system.
SN - 2227-7390
ER -