Robust contingency-constrained load restoration method for transmission systems considering modified SOCP formulation of power flow

IF 5 2区 工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC
Lei Sun , Weikang Fang , Youwang Wei , Zhenzhi Lin , Xudong Jin
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Abstract

A proper load restoration method can speed up the load restoration phase and reduce the outage losses of power systems after natural disasters. Existing research assumes that transmission lines would not trip again in the load restoration phase, which is not always acceptable, especially in the outage scenario due to natural disasters. Besides, the feasibility of the load restoration scheme relies on an exact mathematical model of the load restoration problem, while the existing second-order cone programming (SOCP) based model is not suitable for transmission power systems due to the lack of voltage angle related arctangent constraints. To address these two main drawbacks in existing research on load restoration, a robust contingency-constrained load restoration model (CCLRM) for transmission systems considering the modified SOCP formulation of power flow is proposed with the objective of reducing the outage losses taking the worst contingency into account. To identify the worst contingency for the CCLRM, a bi-level worst contingency identification model (WOCIM) is proposed and reformulated into a single-level model by employing the duality theory to make the WOCIM solvable. The non-linear voltage angle related arctangent constraints in the modified SOCP based power flow expression in both models are studied and reformulated into the convex ones based on the convex envelope theory, thereby enhancing the accuracy of the presented models. Case studies on the IEEE 30-bus power system and IEEE 118-bus power system are conducted to illustrate the effectiveness of the proposed method.
考虑修改后的电力流 SOCP 公式的输电系统鲁棒性突发事件约束负荷恢复方法
适当的负荷恢复方法可以加快负荷恢复阶段的速度,减少自然灾害后电力系统的停电损失。现有研究假设输电线路在负荷恢复阶段不会再次跳闸,但这并不总是可以接受的,尤其是在自然灾害造成停电的情况下。此外,负载恢复方案的可行性依赖于负载恢复问题的精确数学模型,而现有的基于二阶锥编程(SOCP)的模型由于缺乏与电压角相关的反正切约束,并不适合输电系统。针对现有负荷恢复研究中存在的这两大弊端,我们提出了一种适用于输电系统的鲁棒性突发事件约束负荷恢复模型(CCLRM),该模型考虑了修改后的电力流 SOCP 公式,目的是在考虑最坏突发事件的情况下减少停电损失。为识别 CCLRM 的最坏意外情况,提出了一个双级最坏意外情况识别模型(WOCIM),并通过使用对偶理论使 WOCIM 可求解,将其重新表述为一个单级模型。研究了这两种模型中基于 SOCP 的修改功率流表达式中与电压角相关的非线性正切约束,并根据凸包络理论将其重新表述为凸约束,从而提高了所提出模型的精度。对 IEEE 30 总线电力系统和 IEEE 118 总线电力系统进行了案例研究,以说明所提方法的有效性。
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来源期刊
International Journal of Electrical Power & Energy Systems
International Journal of Electrical Power & Energy Systems 工程技术-工程:电子与电气
CiteScore
12.10
自引率
17.30%
发文量
1022
审稿时长
51 days
期刊介绍: The journal covers theoretical developments in electrical power and energy systems and their applications. The coverage embraces: generation and network planning; reliability; long and short term operation; expert systems; neural networks; object oriented systems; system control centres; database and information systems; stock and parameter estimation; system security and adequacy; network theory, modelling and computation; small and large system dynamics; dynamic model identification; on-line control including load and switching control; protection; distribution systems; energy economics; impact of non-conventional systems; and man-machine interfaces. As well as original research papers, the journal publishes short contributions, book reviews and conference reports. All papers are peer-reviewed by at least two referees.
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