Co-Optimization of Transmission Expansion Planning and TCSC Placement Considering the Correlation Between Wind and Demand Scenarios

This paper combines two planning problems into a single planning problem and numerically shows the benefits of their combination. Specifically, we combine the optimal transmission expansion planning problem and the optimal placement of thyristor controlled series compensators (TCSCs) in a transmission network. The proposed single period math program for the combined problem minimizes the investment costs of the new lines and TCSCs and the expected costs of generation and load shed while multiple operation scenarios are considered. The model relies on the dc approximation of the power flow network and ties the maximum flow limit of each line to its length. The operation scenarios are developed by considering the load and wind power generation of a specific period using a proposed method for scenario reduction. The general linearization technique and the disjunctive model are used to linearize the polynomial constraints in the problem. The numerical results for solving the proposed optimization model for the Graver 6-bus and the IEEE 118-bus systems show the cost benefits and wind penetration of using the proposed combined planning model.