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Tight Unit Commitment models with Optimal Transmission Switching: Connecting the dots with perturbed objective function

机译:带有最佳变速器切换的紧凑单元承诺模型:将点与受干扰的目标函数连接起来

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In this paper we address the issue of solving a Unit Commitment (UC) problem including the transmission network with Active Switching (AS). The switching operation consists in a dynamic reconfiguration of the network, i.e. a tripping of some lines; this paradigm is named UC with Optimal Transmission Switching (UCOTS). The UCOTS is a novel way to leverage grid controllability, that may re-route the electrical energy in the network to resolve some line congestion and reduce the overall production cost, e.g. by allowing to increase the power output of cheaper units. The UCOTS can also aim at improving other system performances such as stability. This work provides a tight Mixed Integer Linear Programming (MILP) formulation of the UCOTS. It proposes to approximate the quadratic thermal cost objective function by means of a perspective cuts (PC) piece-wise-linear function and to perturb it in a special way, in order to break some of the symmetries deriving from the OTS variables. We show that, combining these two ingredients and using recent tight UC constraints formulations, optimal and near-optimal solutions can be obtained in reasonable computing time for a custom 81 units-IEEE 118 bus test case without resorting to any kind of heuristic.
机译:在本文中,我们解决了解决单位承诺(UC)问题的问题,其中包括带有有源交换(AS)的传输网络。交换操作包括网络的动态重新配置,即某些线路的跳闸。此范例称为具有最佳传输交换的UC(UCOTS)。 UCOTS是一种利用电网可控性的新颖方法,可以重新路由网络中的电能,以解决某些线路拥堵并降低总体生产成本(例如,通过允许增加便宜单位的功率输出。 UCOTS还可以旨在提高其他系统性能,例如稳定性。这项工作为UCOTS提供了严格的混合整数线性规划(MILP)公式。它建议通过透视切割(PC)分段线性函数来近似二次热成本目标函数,并以一种特殊的方式对其进行扰动,以打破源自OTS变量的某些对称性。我们证明,结合这两种成分并使用最近的严格UC约束公式,可以在合理的计算时间内针对自定义的81个单元(IEEE 118总线测试用例)获得最佳和接近最优的解决方案,而无需借助任何启发式方法。

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