基于时空正交配置的电力-天然气互联系统最优校正控制方法  

Optimal Corrective Control Method of Electricity and Natural Gas Interconnected Systems Based on Space-Time Orthogonal Collocation

作　　者：杜蕙 林涛[1] 李轻言 张效宁 徐遐龄 Du Hui;Lin Tao;Li Qingyan;Zhang Xiaoning;Xu Xialing(School of Electrical Engineering and Automation Wuhan University,Wuhan 430072 China;School of Control and Computer Engineering North China Electric Power University,Beijing 102206 China;Central China Branch of State Grid Cooperation,Wuhan 430077 China)

机构地区：[1]武汉大学电气与自动化学院,武汉430072 [2]华北电力大学控制与计算机工程学院,北京102206 [3]国家电网公司华中分部,武汉430077

出　　处：《电工技术学报》2023年第7期1765-1779,共15页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金联合基金重点资助项目(U2166206)。

摘　　要：构建电力-天然气互联系统(EGIS)有助于促进能源结构转型,但同时造成了耦合系统间故障传播的风险。为消除EGIS中N-1故障造成的安全越限,防范连锁故障发生,该文提出一种基于时空正交配置(STOC)的EGIS最优校正控制方法。首先,针对偏微分方程描述的无限维气网动态管流模型,采用STOC在时空维度同时离散,转换为配置点处的有限维代数方程约束;然后,基于STOC气网动态管流约束和电网交流潮流约束,构建以校正控制代价最小为目标的安全约束最优能流模型,以获取最优校正控制策略;最后,通过算例验证了基于STOC方法与现有方法相比在精度和效率上的优越性,以及所得最优校正控制策略的有效性。所提方法在EGIS故障后具有在线辅助决策的应用潜力。During the gradual implementation of the national energy transition and achieving the"emission peak and carbon neutral"target,renewable energy supported by fast-ramping gas-fired units and the ongoing global coal-to-gas transformation are effective ways to reduce carbon emissions in a short term.Construction of the electricity-gas interconnected systems(EGIS)promotes energy low-carbon transition.But meanwhile,it causes the potential risk of cascading failures between the coupling systems.Besides,compared to the instantaneous balance of electricity,the transient process of natural gas pipeline flow typically lasts from minutes to hours.Once it characterizes the time-dependent slow dynamic characteristics of the pipe flow,the EGIS optimization model is infinite-dimensional and hard to ensure computational accuracy and efficiency simultaneously.To this end,the paper proposes an EGIS optimal corrective control method based on space-time orthogonal collocation(STOC)for timely eliminating the security-limit violation caused by an N-1 fault in the EGIS.Firstly,the STOC is used to discretize the partial-differential-equation-based infinite dynamic pipe flow model in space-time coordinates and transform it into a set of finite linear algebraic equations at the space-time collocation points.Compared with the traditional differential method,the STOC exhibits high computational accuracy and good numerical stability.Secondly,based on the dynamic pipe flow of the gas network and the steady-state power flow of the power system,security constraints are established.And a security-constrained optimal energy flow(SCOEF)model is constructed to obtain the optimal corrective control strategy with the lowest control cost to eliminate the security-limit violation and restore the safe operation of the EGIS.The computational performances of the STOC in accuracy and efficiency are compared with the Wendroff differential method based on a single section of the gas pipeline.More specifically,the coarse Wendroff model whose space-time differe

关 键 词：电力-天然气互联系统 最优校正控制 安全约束最优能流 气网动态管流 时空 正交配置 

分 类 号：TM744[电气工程—电力系统及自动化] TE09[石油与天然气工程]