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演化博弈与联邦学习融合驱动的新型电力系统多元主体协同优化OA

Multi-Agent Collaborative Optimization in New Power Systems Driven by Integration of Evolutionary Game and Federated Learning

中文摘要英文摘要

[目的]针对新型电力系统中多元市场主体参与、分布式资源深度接入与多层级决策协调带来的协同优化难题,传统集中式优化模式在隐私保护、计算分散与利益协调等方面难以适应,亟需厘清演化博弈论(evolutionary game theory,EGT)与联邦学习(federated learning,FL)融合在电力系统中的理论涵义、通用化框架及适用边界,以破解隐私约束下多主体策略协同这一关键科学问题.[方法]以"问题驱动-理论支撑-方法构建-场景落地"为主线,系统梳理EGT刻画有限理性主体策略演化、FL实现隐私保护下分布式协同建模的各自机理;进而从动力学同构性、信息论一致性、学习理论统一性与优化目标对应性四重视角阐释EGT-FL的耦合原理,构建适应电力系统物理约束的通用化融合框架;在此基础上归纳多主体博弈模型构建、联邦策略演化算法设计与激励-隐私协同优化等关键方法,并以改进的IEEE 33节点系统及1 050主体大规模需求响应案例开展仿真验证.[结果]EGT-FL算法在收敛性、隐私保护、经济性、计算效率与鲁棒性5个维度均优于FedAvg、FedProx等联邦学习算法,以及纳什均衡、Stackelberg博弈等经典博弈方法;收敛速度较传统方法提升30%~50%,差分隐私参数ε=1时仍保持90%以上的优化性能,系统总成本仅增加约3.2%,而隐私保护水平达到95%,在20%恶意主体比例下系统稳定性维持在70%以上.[结论]EGT与FL的融合能够在保护数据隐私的前提下有效化解多主体利益冲突,实现系统全局效益最优,为新型电力系统多主体协同决策提供兼具理论严谨性与工程可行性的新范式;联邦强化学习深度融合、跨层级协同优化与自适应隐私机制是未来重点突破的研究方向,可为新型电力系统的智能化运行提供理论支撑与技术参考.

[Objectives]To address the collaborative optimization difficulties arising from participation of multiple market entities,deep integration of distributed resources,and multi-level decision coordination in new power systems,where traditional centralized optimization models struggle to adapt in terms of privacy protection,distributed computation,and interest coordination,this study aims to clarify the theoretical connotation,generalized framework,and applicability boundaries of integrating evolutionary game theory(EGT)and federated learning(FL)in power systems,thereby resolving the key scientific problem of multi-agent strategy coordination under privacy constraints.[Methods]Following the main thread of"problem-driven-theoretical support-method construction-scenario implementation",the respective mechanisms of EGT in characterizing the strategy evolution of bounded rational agents and of FL in achieving privacy-preserving distributed modeling are systematically reviewed.The coupling principles of their integration(EGT-FL)are then elaborated from four perspectives,namely dynamical isomorphism,information-theoretic consistency,learning-theoretic unification,and optimization-objective correspondence,and a generalized integration framework adapted to the physical constraints of power systems is constructed.On this basis,key methods including multi-agent game modeling,federated strategy evolution algorithm design,and incentive-privacy co-optimization are summarized,and simulation verification is conducted on a modified IEEE 33-bus system and a large-scale demand response case involving 1 050 agents.[Results]Simulation results demonstrate that the EGT-FL algorithm outperforms FL algorithms such as FedAvg and FedProx,as well as classical game-theoretic methods such as Nash equilibrium and Stackelberg game,across five dimensions:convergence,privacy protection,economic performance,computational efficiency,and robustness.The convergence speed is improved by 30%-50%compared with traditional methods.Under a differential privacy parameter of ε=1,more than 90%of the optimization performance is still maintained.The total system cost increases by only about 3.2%,while the privacy protection level reaches 95%.The system stability is maintained above 70%under a 20%proportion of malicious agents.[Conclusions]The integration of EGT and FL can effectively resolve conflicts of interest among multiple agents while preserving data privacy,and achieve system-wide benefit maximization,providing a new paradigm with both theoretical rigor and engineering feasibility for multi-agent collaborative decision-making in new power systems.The deep integration of federated reinforcement learning,cross-level collaborative optimization,and adaptive privacy mechanisms are key research directions for future breakthroughs,offering theoretical support and technical reference for the intelligent operation of new power systems.

程乐峰;孙润宝;倪曼琦;邹涛;余涛;张孝顺;王怀智

广州大学机械与电气工程学院,广东省 广州市 510006广州大学机械与电气工程学院,广东省 广州市 510006广州大学机械与电气工程学院,广东省 广州市 510006广州大学机械与电气工程学院,广东省 广州市 510006华南理工大学电力学院,广东省 广州市 510641东北大学佛山研究生创新学院,广东省 佛山市 528300深圳大学机电与控制工程学院,广东省 深圳市 518060

能源科技

新型电力系统演化博弈论联邦学习多主体协同决策隐私保护优化分布式能源管理

new power systemevolutionary game theoryfederated learningmulti-agent collaborative decision-makingprivacy-preserving optimizationdistributed energy management

《发电技术》 2026 (3)

449-483,35

国家自然科学基金项目(52171331,U24B6010)广东省自然科学基金项目(2023A1515011311)广东省普通高校创新团队项目(2024KCXTD031)广州市教育局高校科研项目(2024312278).Project Supported by National Natural Science Foundation of China(52171331,U24B6010)Natural Science Foundation of Guangdong Province(2023A1515011311)Innovation Team Project for Ordinary Universities in Guangdong Province(2024KCXTD031)Guangzhou Education Bureau University Research Project(2024312278).

10.12096/j.2096-4528.pgt.260301

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