Improved Whale Optimization Algorithm for Dynamic Optimal Power Flow with Renewable Energy Penetration
Received: 20 November 2024 | Revised: 24 December 2024 | Accepted: 29 December 2024 | Online: 2 February 2025
Corresponding author: Adi Soeprijanto
Abstract
This paper proposes the Improved Whale Optimization Algorithm (IWOA) method to solve the Dynamic Optimal Power Flow (DOPF) problem in Renewable Energy Systems (RES), taking into account the influence of Energy Storage (ES). The convergence performance of the Whale Optimization Algorithm (WOA) algorithm is enhanced by incorporating Fuzzy Logic Control (FLC) in the exploration phase. The FLC assists the IWOA agents in finding the optimal weight values more quickly. The weights generated by the IWOA method are dynamic, continuously adjusting based on the deviation or error in the agents' movement during each iteration, which is essential for locating the global optimum. This paper primarily uses FLC to determine the weights, accelerating the IWOA optimization process. The effectiveness of this method is tested on the IEEE 30-bus system with the integration of PV and ES. The findings of this study demonstrate the superiority of the IWOA method over the WOA algorithm, resulting in a lower generation cost of $25/day and a faster convergence time.
Keywords:
Dynamic Optimal Power Flow (DOPF), Improved Whale Optimization Algorithm (IWOA), weight, Fuzzy Logic Control (FLC), Energy Storage (ES)Downloads
References
H. Bakır, S. Duman, U. Guvenc, and H. T. Kahraman, "A novel optimal power flow model for efficient operation of hybrid power networks," Computers and Electrical Engineering, vol. 110, Sep. 2023, Art. no. 108885.
I. U. Khan, N. Javaid, K. A. A. Gamage, C. J. Taylor, S. Baig, and X. Ma, "Heuristic Algorithm Based Optimal Power Flow Model Incorporating Stochastic Renewable Energy Sources," IEEE Access, vol. 8, pp. 148622–148643, 2020.
M. Wang, H. B. Gooi, S. Chen, and S. Lu, "A mixed integer quadratic programming for dynamic economic dispatch with valve point effect," in 2015 IEEE Power & Energy Society General Meeting, Denver, CO, USA, Jul. 2015, pp. 1–10.
T. A. A. Victoire and A. E. Jeyakumar, "Reserve constrained dynamic dispatch of units with valve-point effects," IEEE Transactions on Power Systems, vol. 20, no. 3, pp. 1273–1282, Aug. 2005.
A. A. Mohamed and B. Venkatesh, "Line-Wise Optimal Power Flow Using Successive Linear Optimization Technique," IEEE Transactions on Power Systems, vol. 34, no. 3, pp. 2083–2092, May 2019.
R. S. Ferreira, C. L. T. Borges, and M. V. F. Pereira, "A Flexible Mixed-Integer Linear Programming Approach to the AC Optimal Power Flow in Distribution Systems," IEEE Transactions on Power Systems, vol. 29, no. 5, pp. 2447–2459, Sep. 2014.
Y. Xia and K. W. Chan, "Dynamic constrained optimal power flow using semi-infinite programming," IEEE Transactions on Power Systems, vol. 21, no. 3, pp. 1455–1457, Aug. 2006.
J. C. López, P. P. Vergara, C. Lyra, M. J. Rider, and L. C. P. da Silva, "Optimal Operation of Radial Distribution Systems Using Extended Dynamic Programming," IEEE Transactions on Power Systems, vol. 33, no. 2, pp. 1352–1363, Mar. 2018.
S. E. Kayacık and B. Kocuk, "An MISOCP-Based Solution Approach to the Reactive Optimal Power Flow Problem," IEEE Transactions on Power Systems, vol. 36, no. 1, pp. 529–532, Jan. 2021.
M. A. M. Shaheen, H. M. Hasanien, S. F. Mekhamer, and H. E. A. Talaat, "Optimal Power Flow of Power Systems Including Distributed Generation Units Using Sunflower Optimization Algorithm," IEEE Access, vol. 7, pp. 109289–109300, 2019.
A. Baziar, R. Bo, M. D. Ghotbabadi, M. Veisi, and W. Ur Rehman, "Evolutionary Algorithm-Based Adaptive Robust Optimization for AC Security Constrained Unit Commitment Considering Renewable Energy Sources and Shunt FACTS Devices," IEEE Access, vol. 9, pp. 123575–123587, 2021.
M. A. Ilyas, G. Abbas, T. Alquthami, M. Awais, and M. B. Rasheed, "Multi-Objective Optimal Power Flow With Integration of Renewable Energy Sources Using Fuzzy Membership Function," IEEE Access, vol. 8, pp. 143185–143200, 2020.
M. R. AlRashidi and M. E. El-Hawary, "Hybrid Particle Swarm Optimization Approach for Solving the Discrete OPF Problem Considering the Valve Loading Effects," IEEE Transactions on Power Systems, vol. 22, no. 4, pp. 2030–2038, Nov. 2007.
K. Widarsono, F. D. Murdianto, M. Nur, and A. Mustofa, "Optimal power flow using particle swarm optimization for IEEE 30 bus," Journal of Physics: Conference Series, vol. 1595, no. 1, Jul. 2020, Art. no. 012033.
R. Jamal, B. Men, and N. H. Khan, "A Novel Nature Inspired Meta-Heuristic Optimization Approach of GWO Optimizer for Optimal Reactive Power Dispatch Problems," IEEE Access, vol. 8, pp. 202596–202610, 2020.
K. Widarsono, A. Soeprijanto, and R. S. Wibowo, "Dynamic Optimal Power Flow Considering Valve Point Effect And Energy Storage Utilization Using Whale Optimization Algorithm," in 2022 14th International Conference on Information Technology and Electrical Engineering (ICITEE), Yogyakarta, Indonesia, Oct. 2022, pp. 189–194.
J. Fang, Q. Zeng, X. Ai, Z. Chen, and J. Wen, "Dynamic Optimal Energy Flow in the Integrated Natural Gas and Electrical Power Systems," IEEE Transactions on Sustainable Energy, vol. 9, no. 1, pp. 188–198, Jan. 2018.
M. S. Nazir, Z. M. Ali, M. Bilal, H. M. Sohail, and H. M. N. Iqbal, "Environmental impacts and risk factors of renewable energy paradigm-a review," Environmental Science and Pollution Research International, vol. 27, no. 27, pp. 33516–33526, Sep. 2020.
A. S. Al-Ezzi and M. N. M. Ansari, "Photovoltaic Solar Cells: A Review," Applied System Innovation, vol. 5, no. 4, Aug. 2022, Art. no. 67.
S. Mirjalili and A. Lewis, "The Whale Optimization Algorithm," Advances in Engineering Software, vol. 95, pp. 51–67, May 2016.
I.-M. Chao, S.-C. Hsiung, and J.-L. Liu, "Improved Whale Optimization Algorithm Based on Inertia Weights for Solving Global Optimization Problems," Advances in Technology Innovation, vol. 5, no. 3, pp. 147–155, Jul. 2020.
G. Ma and X. Yue, "An improved whale optimization algorithm based on multilevel threshold image segmentation using the Otsu method," Engineering Applications of Artificial Intelligence, vol. 113, Aug. 2022, Art. no. 104960.
J. Zhang and J. S. Wang, "Improved Whale Optimization Algorithm Based on Nonlinear Adaptive Weight and Golden Sine Operator," IEEE Access, vol. 8, pp. 77013–77048, 2020.
K. Widarsono, A. Soeprijanto, R. S. Wibowo, N. K. Aryani, B. Oktaviani, and M. Nur, "Dynamic Optimal Power Flow with PV and BMS Integration in the Power Grid Using TFWO Method," in International Conference on Artificial Intelligence and Mechatronics System, AIMS 2024, Indonesia, 2024.
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