基于分布式预定时间算法的环境经济调度
The Environmental Economic Dispatch Based on Distributed Predefined-Time Algorithm
摘要: 随着全球能源需求的不断增长和环境问题日益严重,如何在确保电力系统满足供给需求的同时,最大限度地减少环境污染和发电成本,成为电力系统发展中的重要研究课题。本文基于分布式架构,提出了一种预定时间算法,并将其与动态权重相结合,从而实现能源分配。通过该方法,能够将多目标优化问题转化为单目标优化问题,而转化后的单目标优化问题可在预定步长内解决,同时为权重的动态调整提供了时间尺度。实验结果表明,所提出的分布式算法在解决环境经济调度问题时,可以有效降低燃料成本和污染排放,获得整个帕累托前沿。
Abstract: With the continuous growth of global energy demand and the increasing severity of environmental issues, how to ensure that the power system meets supply demands while minimizing environmental pollution and generation cost has become a significant research topic in the development of power systems. This paper proposes a predefined-time algorithm based on distributed architecture and combines it with dynamic weights to achieve energy allocation. Through this method, the multi-objective optimization problem can be transformed into a single-objective optimization problem, which can be solved within a predetermined step size, and provide a timescale for the dynamic adjustment of weights. The experimental results show that the proposed distributed algorithm can effectively reduce fuel costs and pollution emissions when solving the environmental economic dispatch problem, and achieving the entire Pareto front.
文章引用:李京尚, 闫丽, 张淑蓉. 基于分布式预定时间算法的环境经济调度[J]. 应用数学进展, 2025, 14(4): 177-186. https://doi.org/10.12677/aam.2025.144150

参考文献

[1] Wood, A.J., Wollenberg, B.F. and Sheblé, G.B. (2013) Power Generation, Operation, and Control. John Wiley & Sons.
[2] Irisarri, G., Kimball, L.M., Clements, K.A., Bagchi, A. and Davis, P.W. (1998) Economic Dispatch with Network and Ramping Constraints via Interior Point Methods. IEEE Transactions on Power Systems, 13, 236-242. [Google Scholar] [CrossRef
[3] McLarty, D., Panossian, N., Jabbari, F. and Traverso, A. (2019) Dynamic Economic Dispatch Using Complementary Quadratic Programming. Energy, 166, 755-764. [Google Scholar] [CrossRef
[4] 刘明明, 王谦, 赵宜馨, 李伟强. 基于自适应差分进化算法的经济负荷调度方法研究[J]. 电气应用, 2022, 41(2): 64-69.
[5] 刘武. 基于改进粒子群算法的火电机组经济优化调度[J]. 电工技术, 2023(14): 29-31.
[6] Sum-im, T. (2004) Economic Dispatch by Ant Colony Search Algorithm. IEEE Conference on Cybernetics and Intelligent Systems, 1, 416-421. [Google Scholar] [CrossRef
[7] Xu, B., Guo, F., Zhang, W., Wang, W., Wen, C. and Li, Z. (2021) Distributed Successive Convex Approximation for Nonconvex Economic Dispatch in Smart Grid. IEEE Transactions on Industrial Informatics, 17, 8288-8298. [Google Scholar] [CrossRef
[8] Li, C., Yu, X. and Yu, W. (2014) Optimal Economic Dispatch by Fast Distributed Gradient. 2014 13th International Conference on Control Automation Robotics & Vision (ICARCV), Singapore, 10-12 December 2014, 571-576. [Google Scholar] [CrossRef
[9] Zhang, W., Liu, W., Wang, X., Liu, L. and Ferrese, F. (2015) Online Optimal Generation Control Based on Constrained Distributed Gradient Algorithm. IEEE Transactions on Power Systems, 30, 35-45. [Google Scholar] [CrossRef
[10] Mao, S., Dong, Z., Schultz, P., Tang, Y., Meng, K., Dong, Z.Y., et al. (2021) A Finite-Time Distributed Optimization Algorithm for Economic Dispatch in Smart Grids. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51, 2068-2079. [Google Scholar] [CrossRef
[11] Wang, X., Su, C., Dai, H. and Yan, L. (2024) Predefined-Time Distributed Optimization Algorithms for a Class of Resource Allocation Problem. Journal of the Franklin Institute, 361, Article 107009. [Google Scholar] [CrossRef
[12] Liu, L. and Yang, G. (2021) Distributed Optimal Economic Environmental Dispatch for Microgrids over Time-Varying Directed Communication Graph. IEEE Transactions on Network Science and Engineering, 8, 1913-1924. [Google Scholar] [CrossRef
[13] Su, C., Wang, X., Wang, S., Dai, H. and Chang, J. (2024) Discrete Predefined-Time Distributed Optimization Algorithm for Resource Allocation Problem in Smart Grids. 2024 36th Chinese Control and Decision Conference (CCDC), Xi’an, 25-27 May 2024, 479-484. [Google Scholar] [CrossRef
[14] 余逸帆, 刘宝玲. 基于改进NSGA-Ⅱ算法的电力负荷环境经济调度优化[J]. 江西电力, 2024, 48(3): 8-11.
[15] Guerrero, R.P. (2004) Differential Evolution Based Power Dispatch Algorithms. M.S. Thesis, University of PuertoRico.
[16] Zhan, J., Wu, Q.H., Guo, C. and Zhou, X. (2015) Economic Dispatch with Non-Smooth Objectives—Part I: Local Minimum Analysis. IEEE Transactions on Power Systems, 30, 710-721. [Google Scholar] [CrossRef
[17] Zhao, C., He, J., Cheng, P. and Chen, J. (2017) Consensus-Based Energy Management in Smart Grid with Transmission Losses and Directed Communication. IEEE Transactions on Smart Grid, 8, 2049-2061. [Google Scholar] [CrossRef
[18] Wang, J., Hou, Q., Zhuo, Z., Jia, H. and Zhang, N. (2024) Voltage Stability Constrained Economic Dispatch for Multi-Infeed HVDC Power Systems. IEEE Transactions on Power Systems, 39, 2598-2610. [Google Scholar] [CrossRef