摘要
虚拟电厂在分布式电源与电力系统的整合中扮演关键角色。但是由于不同的分布式电源其约束条件存在异构性，因此在准确描述这些资源的有功可行域聚合时面临着计算复杂度高及有功可行域聚合精确度不足的问题。本文提出一种新型电源型虚拟电厂有功可行域聚合方法，针对不同分布式电源的出力特性，建立各类分布式电源的数学单体模型，采取线性规划的方法来确定电源型虚拟电厂的有功可行域聚合边界，在保证有功可行域完整性的同时，极大提高了聚合计算效率。仿真结果表明，所提出的方法在应用于多时段资源聚合下，计算效率远胜于闵可夫斯基和方法；在有功可行域聚合精确度上，聚合平均误差为零，显著优于内近似法。
关键词： 虚拟电厂；有功可行域；分布式电源；聚合
Abstract
Virtual power plants (VPPs) play a crucial role in integrating distributed generation into power systems. However, accurately characterizing the aggregated feasible active power region (FAPR) remains challenging due to the heterogeneous constraints of various DERs, leading to issues such as high computational complexity and insufficient precision in the aggregated region. This paper proposes a novel aggregation method to efficiently determine the FAPR of a generation-type VPP. The proposed method establishes mathematical models for individual DERs based on their output characteristics and employs linear programming to delineate the boundaries of the aggregated FAPR. Simulation results demonstrate that the proposed method substantially reduces computational complexity while completely preserving the accurate FAPR, outperforming the Minkowski sum approach in multi-period aggregation scenarios and achieving zero average aggregation error, thereby surpassing the precision of inner approximation methods in terms of FAPR aggregation accuracy.
Key words： Virtual power plant; Feasible active power region; Distributed generation; Aggregation
参考文献 References
[1] S. Wang and W. Wu, Aggregate flexibility of virtual power plants with temporal coupling constraints[J].IEEE Transactions on Smart Grid, 2021,12(6): 5043-5051,2021.
[2] W. Liu, J. Yang, X. Zhang, et al. SVG configuration scheme to enhance renewable energy accommodation considering voltage stability constraints in renewable power grids[J]. IEEE Transactions on Circuits and Systems II: Express Briefs，2025.
[3] 陈会来,张海波,王兆霖.不同类型虚拟电厂市场及调度特性参数聚合算法研究综述[J].中国电机工程学报, 2023, 43(01):15-28.
[4] W. Xu, Y. Guo, S. Zhou, et al. Spatiotemporal secure feasible region construction for multiple vpps’ joint offering[J]. Electric Power Systems Research,2025, 247: 111866.
[5] 王静,刘牧阳,陈俊儒,等.基于凸多面体仿射变换的用户侧灵活性资源多元聚合方法[J/OL].电网技术,1-15 [2025-10-21].
[6] 王思远,吴文传.灵活性资源聚合参考模型与量化指标体系[J].电力系统自动化,2024,48(03):1-9.
[7] 童宇轩,胡俊杰,杜昊明,等.基于虚拟电池模型的外逼近闵可夫斯基热泵负荷调节可行域聚合方法[J].电网技术,2024,48(08):3340-3349.
[8] L. Zhao, W. Zhang, H. Hao, et al. A geometric approach to aggregate flexibility modeling of thermostatically controlled loads[J]. IEEE Transactions on Power Systems, 2017,32(06): 4721-4731.
[9] Y. Wen, Z. Hu, S. You, et al. Aggregate feasible region of DERs: exact formulation and approximate models[J]. IEEE Transactions on Smart Grid,2022,13(6): 4405-4423
[10] 周海浪,刘一畔,陈雨果,等.考虑灵活性收益的需求侧资源可行域聚合方法[J].中国电力,2022,55(09):56-63+155.
[11] M. Zhang, Y. Xu, X. Shi, et al. A fast polytope-based approach for aggregating large-scale electric vehicles in the joint market under uncertainty[J].IEEE Transactions on Smart Grid,2024,15(1): 701-713.