Optimal Placement of SVC Based on Line Flow Base Equation Using Mixed Integer Nonlinear Programming

In this paper a novel approach to determine optimal location, number and initial compensation level of the SVC in a power system is presented. Mixed Integer Nonlinear Programming (MINLP) is used for this purpose as a useful technique for combinatorial optimization over integers and variables. This technique can provide a fast approach as well as high computational efficiency even in solving complex optimization problems. Previous works used DC power flow that has well known limitations such as reactive power balance and reactive power loss ignorance. This paper uses novel Line Flow Based (LFB) equation that employs line power flow (instead of line current) and square of the bus voltages as variables. Since control variables such as line active and reactive power flow figure directly in formulation, handling the control action of the Flexible Alternating Current Transmission Systems (FACTS) devices is directly and easily implemented. The objectives of this paper are increasing system loadability and decreasing power losses and VAr generation cost by finding the optimal location, number and initial setting of the SVCs.