Hot Start and Warm start in LP based Interior Point Method and it's Application to Multiperiod Optimal Power Flows

This paper presents possibilities of linearly based interior point method in solving multiperiod optimal power flows. LP model of interior point method for solving multiperiod optimal power flow and formulation multiperiod optimal power flows are presented. It has been shown that restarting from the optimal solution of one problem to find another optimal solution of the next perturbed problem, which has been known as hot start, under slow variable conditions, improve performance of the algorithm in respect to the flat start. There are problems of using optimal solution of original problem as starting point to the next perturbed problem, which is simulated as snap of the load. In this work authors suggest using starting point, which is not optimal one, but very close to optimal, and which is still far away from the boundary of feasible region. It has been shown that choosing that point is closely related with numerical problems. Algorithm, which can solve this problem, is tested on the standard IEEE 30 bus test system by applying classical Newton-Raphson method as a corrector