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N - 1 Multi-contingency transient stability constrained AC optimal power flow with volt/var controllers

机译：N - 1多次应急瞬态稳定性受到VOLV / VAR控制器的AC最佳功率流量

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摘要

In order to guarantee the continuous operation of electric power systems (EPS), a proper planning of these networks in steady and transient state must be performed. This paper presents an N - 1 multi-contingency AC optimal power flow (OPF) that embeds, in the same mathematical optimization model, a set of transient stability constraints (TSC) that guarantee rotor angle and angular velocity variation within technical limits, at given N - 1 contingencies. Furthermore, the proposed model considers the operation of volt/var controllers, such as shunt elements and OLTC transformers, to further improve the operation of the EPS, under given levels of demand and generation. Taking advantage of the classical first-order transient stability model of synchronous machines and the implicit trapezoidal integration rule, the proposed model can be formulated as a stand-alone mixed-integer nonlinear programming (MINLP) model. Then, through well-established linearization techniques, the initially proposed MINLP model is transformed into a new mixed-integer linear programming (MILP) model, which can be implemented via algebraic programming languages, such as AMPL, and solved using convex optimization solvers, such as CPLEX. Three systems with dissimilar number of synchronous machines and nodes have been used for tests (i.e., the 9-Bus/3-Generator Western System Coordinating Council (WSCC) system, the 39-Bus/10Generator New England system and the 68-Bus/16-Generator IEEE system). The efficiency of the proposed linearization techniques and the stability requirements of the solutions have been validated using an exact AC power flow and the transient stability analysis program PSAT-Matlab. Results show the ability of the proposed MILP model to provide stable operating points under N - 1 contingencies, at minimum production cost.
机译：为了保证电力系统（EPS）的连续运行，必须执行稳定和瞬态状态的适当规划。本文介绍了N - 1多次应急交流最佳功率流（OPF），在相同的数学优化模型中，在相同的数学优化模型中，一组瞬态稳定性约束（TSC），可在给定的技术限制内保证转子角度和角速度变化n - 1次突发事件。此外，所提出的模型考虑了伏特/ var控制器（例如分流元件和OLTC变压器）的操作，以进一步改善EPS的操作，在给定的需求和生成水平下。利用同步机的经典一阶瞬态稳定性型号和隐式梯形集成规则，所提出的模型可以配制为独立混合整数非线性编程（MINLP）模型。然后，通过良好的线性化技术，最初提出的MINLP模型被转换为新的混合整数线性编程（MILP）模型，该模型可以通过代数编程语言（如ampl）来实现，并使用凸优化求解器解决，如凸形优化求解器作为cplex。具有不同相同的同步机和节点的三个系统已用于测试（即，9公交/3原生成器西部系统协调委员会（WSCC）系统，39公交车/ 10根本系统新英格兰系统和68辆公交车/ 16发生器IEEE系统）。所提出的线性化技术的效率和解决方案的稳定性要求已经使用精确的交流电流和瞬态稳定性分析程序Psat-Matlab验证。结果表明，拟议的MILP模型在最低生产成本下，致命的MILP模型提供稳定的运行点。

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