论文标题

分布式功率流和分布式优化 - 配方,解决方案和开源实施

Distributed Power Flow and Distributed Optimization -- Formulation, Solution, and Open Source Implementation

论文作者

Mühlpfordt, Tillmann, Dai, Xinliang, Engelmann, Alexander, Hagenmeyer, Veit

论文摘要

以分布式的方式解决功率流问题,使不同的网格操作员无需共享网格模型即可计算整个网格状态,这是一个实用的问题,行业没有现成的答案。与德国传输系统操作员合作,我们提出了两个物理上一致的问题公式(可行性,最小二乘),可与分布式优化的两种解决方案方法(乘数的交替方向方法(ADMM)和增强的Lagrangian基于Lagrangian的交替方向不符合牛顿方法(Aladin方法(Aladin方法)));在阿拉丁的情况下,可以保证分布式功率流问题。此外,我们还为分布式功率流(RapidPF)的快速原型制作提供了开源MATLAB代码,这是一种完全兼容的软件,可促进将功率流问题作为分布式优化问题制定功率流问题的辛苦任务;该代码可在https://github.com/kit-iai/rapidpf/下获得。解决我们提出的分布式功率流问题的方法是灵活的,模块化的,一致的和可再现的。系统的仿真结果范围从53个总线(有3个区域)到4662辆总线(带5个区域)表明,使用Aladin求解的最小二乘配方仅需要大约六十个协调步骤,然后才能解决功率流问题。

Solving the power flow problem in a distributed fashion empowers different grid operators to compute the overall grid state without having to share grid models-this is a practical problem to which industry does not have off-the-shelf answers. In cooperation with a German transmission system operator we propose two physically consistent problem formulations (feasibility, least-squares) amenable to two solution methods from distributed optimization (the Alternating direction method of multipliers (ADMM), and the Augmented Lagrangian based Alternating Direction Inexact Newton method (Aladin)); with Aladin there come convergence guarantees for the distributed power flow problem. In addition, we provide open source matlab code for rapid prototyping for distributed power flow (rapidPF), a fully matpower-compatible software that facilitates the laborious task of formulating power flow problems as distributed optimization problems; the code is available under https://github.com/KIT-IAI/rapidPF/. The approach to solving distributed power flow problems that we present is flexible, modular, consistent, and reproducible. Simulation results for systems ranging from 53 buses (with 3 regions) up to 4662 buses (with 5 regions) show that the least-squares formulation solved with aladin requires just about half a dozen coordinating steps before the power flow problem is solved.

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