Optimal Allocation of Static Var Compensator via Mixed Integer Conic Programming

TL;DR

This paper presents a convex optimization model using mixed integer conic programming to optimally allocate static var compensators in transmission networks, accounting for load uncertainties and improving system performance.

Contribution

It introduces a novel MICP-based planning model that transforms a non-convex problem into a convex SOCP, enabling efficient and effective SVC placement considering load scenarios.

Findings

The model effectively reduces power losses.

It improves voltage stability.

Numerical results validate the approach.

Abstract

Shunt FACTS devices, such as, a Static Var Compensator (SVC), are capable of providing local reactive power compensation. They are widely used in the network to reduce the real power loss and improve the voltage profile. This paper proposes a planning model based on mixed integer conic programming (MICP) to optimally allocate SVCs in the transmission network considering load uncertainty. The load uncertainties are represented by a number of scenarios. Reformulation and linearization techniques are utilized to transform the original non-convex model into a convex second order cone programming (SOCP) model. Numerical case studies based on the IEEE 30-bus system demonstrate the effectiveness of the proposed planning model.