Optimal power flow with demand participation of RESs

The paper is concerned with a semidefinite program (SDP) to solve the optimal power flow (OPF) problem for integrating renewable energy sources (RESs) with demand participation in electric grids. The electric generation from renewables as a supplier is randomly realized using an algorithm. The demand participation is provided by demand-side resources with renewables to curtail the actual loads, which means that the penetration of renewable generation is raised. Thus, a balance between supply and demand response of the grid is maintained. The optimization problem, accommodating the renewable generation, is introduced as a convex problem. The convex problem is represented in the form of semidefinite program. Due to the nonconvexity of the optimal power flow problem, convex semidefinite relaxation has been proposed to solve the optimization problem. We also perform contingency scenarios and test these scenarios by solving the semidefinite relaxation to obtain feasible solutions.