A Fast and Scalable Iterative Solution of a Socio-Economic Security-Constrained Optimal Power Flow With Two-Stage Post-Contingency Control

IF 2 4区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC
Matias Vistnes, Vijay Venu Vadlamudi, Oddbjørn Gjerde
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Abstract

Power systems must accommodate faster-growing demand and energy production at a rate that exceeds the pace of new grid infrastructure development. Moving from the deterministic ‘N-1’ security criterion to a probabilistic security criterion in security-constrained optimal power flow (SCOPF) can safely increase the power transfer capability of power systems. However, this has been computationally intractable for large power systems when including corrective actions. In this paper, a fast and scalable iterative methodology for solving the SCOPF problem is proposed using problem decomposition and the inverse matrix modification lemma (IMML). The proposed probabilistic corrective-SCOPF formulation tackles system operational security planning by combining previous research with considerations of short-term and long-term post-contingency limits, probability of branch outages, and preventive and corrective actions. Using two post-contingency states and contingency probabilities, the SCOPF could provide improved system security at a lower cost when compared to the SCOPF with only preventive actions, for example, the typical ‘N-1’ formulation. Additional security is ensured using a post-contingency load-shedding limit constraint based on system operator policy. The bearing idea in the proposed solution methodology is to relax the problem and then iteratively add constraints as and when they are violated, resulting in a solution that satisfies all constraints in the original problem. Solving the post-contingency power flow using the IMML with bus voltage angles was found to be up to four orders of magnitude faster than doing the same using a high-performance sparse matrix solver (KLU) with power transfer distribution factors. The proposed methodology is applied to a range of test systems containing up to 10,000 buses with a computational time of up to 3375 s for 12,706 branch contingencies. Calculating the contingency power flows takes 1.3% of the total solution time using the proposed methodology, by exploiting the IMML.

Abstract Image

社会经济安全约束下两阶段后事故控制最优潮流的快速可扩展迭代解
电力系统必须以超过新电网基础设施发展步伐的速度适应快速增长的需求和能源生产。在安全约束的最优潮流(SCOPF)中,从确定性的“N-1”安全准则向概率安全准则转变,可以安全地提高电力系统的输电能力。然而,当包括纠正措施时,这对于大型电力系统来说是难以计算的。本文利用问题分解和逆矩阵修正引理,提出了一种快速、可扩展的求解SCOPF问题的迭代方法。建议的概率校正- scopf公式通过将以前的研究与考虑短期和长期的事后事故限制、分支中断的概率以及预防和纠正措施相结合来处理系统操作安全计划。使用两种后事故状态和事故概率,与仅采取预防措施的SCOPF(例如典型的“N-1”公式)相比,SCOPF可以以更低的成本提供更高的系统安全性。使用基于系统操作员策略的事故后负载减少限制约束来确保额外的安全性。所提出的求解方法中的轴承思想是将问题放松,然后在违反约束时迭代地添加约束,从而得到满足原问题中所有约束的解。使用带母线电压角的IMML求解事故后潮流比使用带功率传输分配因子的高性能稀疏矩阵求解器(KLU)快4个数量级。所提出的方法适用于包含多达10,000个总线的一系列测试系统,对于12,706个分支突发事件,计算时间高达3375秒。通过利用IMML,使用所提出的方法计算应急潮流需要总解决时间的1.3%。
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来源期刊
Iet Generation Transmission & Distribution
Iet Generation Transmission & Distribution 工程技术-工程:电子与电气
CiteScore
6.10
自引率
12.00%
发文量
301
审稿时长
5.4 months
期刊介绍: IET Generation, Transmission & Distribution is intended as a forum for the publication and discussion of current practice and future developments in electric power generation, transmission and distribution. Practical papers in which examples of good present practice can be described and disseminated are particularly sought. Papers of high technical merit relying on mathematical arguments and computation will be considered, but authors are asked to relegate, as far as possible, the details of analysis to an appendix. The scope of IET Generation, Transmission & Distribution includes the following: Design of transmission and distribution systems Operation and control of power generation Power system management, planning and economics Power system operation, protection and control Power system measurement and modelling Computer applications and computational intelligence in power flexible AC or DC transmission systems Special Issues. Current Call for papers: Next Generation of Synchrophasor-based Power System Monitoring, Operation and Control - https://digital-library.theiet.org/files/IET_GTD_CFP_NGSPSMOC.pdf
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