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首页基于交替方向乘子法的最优潮流计算
直流配电网的发展前景广阔,分布式电源的发展迅速,随之而来的直流配电网最优潮流(OPF) 问题关系到电网经济运行,具有重要的工程意义。利用凸优化理论,本文提出基于交替方向乘子法的分布式最优潮流计算方法,以解决传统集中式优化方式面临的诸多难题。借鉴IEC 61970 标准中CIM 建模思路,将电网模型解耦为设备、端子和连通点模型,使传统的网络模型转换为一个分散式的电气模型,从而实现利用ADMM交替方向乘子法的思想设计最有潮流计算算法,通过邻近设备间少量的消息传递,实现各设备子优化问题的并行求解
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Distributed Optimal Power Flow of AC/DC Interconnected
Power Grid Using Synchronous ADMM
Zijun Liang
1
, Shunjiang Lin
1
and Mingbo Liu
1
1
School of Electric Power, South China University of Technology, Guangzhou
510640, Guangdong Province, China
scut_ep_lzj@163.com
Abstract. Distributed optimal power flow (OPF) is of great importance and challenge to
AC/DC interconnected power grid with different dispatching centres, considering the security
and privacy of information transmission. In this paper, a fully distributed algorithm for OPF
problem of AC/DC interconnected power grid called synchronous ADMM is proposed, and it
requires no form of central controller. The algorithm is based on the fundamental alternating
direction multiplier method (ADMM), by using the average value of boundary variables of
adjacent regions obtained from current iteration as the reference values of both regions for next
iteration, which realizes the parallel computation among different regions. The algorithm is
tested with the IEEE 11-bus AC/DC interconnected power grid, and by comparing the results
with centralized algorithm, we find it nearly no differences, and its correctness and
effectiveness can be validated.
1. Introduction
With the rapid development of power market and power economy, the engineering application of the
optimal power flow (OPF) in power system appears to be more important. The most commonly used
algorithms for solving OPF problem includes nonlinear programming (NLP), sequential quadratic
programming (SQP) and interior point method (IPM). IPM has good convergence and is suitable
for solving OPF problem [1-2], includes the OPF problem of AC/DC interconnected power grid [3].
With the increasing interaction between adjacent areas, great challenges are brought to the traditional
centralized computing framework. And fully decentralized algorithm for solving OPF problem
becomes more appropriate for computing framework. The original research of distributed OPF can
trace back to Balho H. Kim and Ross Baldick’s research on coarse-grained distributed OPF [4]. After
years of unremitting efforts, algorithms aiming to solve distributed OPF problem are now fruitful, such
as the auxiliary problem principle (APP) [5], semi definite programming (SDP) [6] and approximate
Newton directions algorithm [7].
According to Stephen Boyd’s research [8], the fundamental alternating direction multiplier method
combines the decomposability of the dual iteration method and the superior convergence of lagrangian
multiplier method. In this paper we wish to achieve a new algorithm which is fully distributed,
requiring no form of central controller and applicable to AC/DC interconnected power grid. The
proposed algorithm is improved on the fundamental alternating direction multiplier method. As a
region-based optimization algorithm, only a limited amount of information is exchanged between
adjacent regions, therefore, assuring privacy and security during information transmission.
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