A Fast LP Approach for Enhanced Utilization of Variable Impedance Based FACTS Devices


Transmission systems are beneath stress and want to be upgraded. Higher utilization of the present grid provides a fast and low-cost various to assembling new transmission. One way to boost the employment of the transmission network is power flow management via versatile ac transmission system (FACTS) devices. While FACTS devices are used nowadays, the utilization of these devices is restricted; ancient dispatch models (e.g., security constrained economic dispatch) assume a mounted, static transmission grid while it's rather flexible. The first barrier is that the complexity that is added to the power flow drawback. The mathematical illustration of the DC optimal power flow, with the added modeling of FACTS devices, may be a nonlinear program (NLP). This paper presents a methodology to convert this NLP into a mixed-integer linear program (MILP). The MILP is reformulated as a two-stage linear program, that enforces the same sign for the voltage angle variations for the lines equipped with FACTS. Whereas this approximation will not guarantee optimality, more than ninety eightpercent of the presented empirical results, based on the IEEE 118-bus and Polish systems, achieved world optimality. In the case of suboptimal solutions, the savings were still significant and the solution time was dramatically reduced.

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