基于串行和并行ADMM算法的电—气能量流分布式协同优化

在综合能源网框架下电力系统与天然气系统的耦合和交互愈加频繁,有必要考虑两个系统的相互作用开展电—气能量流的协同优化。针对电力流与天然气流的多主体分布自治决策特点,在构建分解协同交互机制的基础上,提出利用交替方向乘子法(ADMM)实现电力流与天然气流的分布式协同优化。分别给出了基于Gauss-Seidel串行迭代和Proximal Jacobian并行迭代的两种ADMM计算模式,并从通信模式、求解效率和适用范围等角度探讨了两种模式的应用差异。在RTS79-GAS14及IEEE 118-GAS90两个电—气互联能源系统上开展的算例测试结果验证了所述算法的有效性。

Distributed Optimization of Electric-Gas Integrated Energy Flow Using Serial and Parallel Iterative Modes for Alternating Direction Method of Multipliers

As the coupling and interaction between power systems and natural gas systems is becoming more and more frequent, it is necessary to consider the interdependence between the two to realize integrated optimization of electric-gas energy flow. In this paper, a decomposition coordination interactive mechanism is proposed by considering the characteristic of multi decision-makers. Then, a distributed approach based on the alternating direction method of multipliers(ADMM)is developed to realize the distributed optimization between the power flow and gas flow. A serial iterative mode of ADMM based on Gauss-Seidel and a parallel iterative mode of ADMM based on Proximal Jacobian are given, respectively, and the differences between the two modes in communication, efficiency and application scope are discussed. Case studies based on the two integrated systems, namely, RTS79-GAS14 and IEEE 118-GAS90, demonstrate the effectiveness and feasibility of the proposed approach. This work is supported by Fundamental Research Funds for the Central Universities(No. 106112016CDJXY150002).