Robust optimization-based energy management of hybrid AC/DC microgrids

Abstract In this chapter, the optimal energy management of a hybrid AC/DC system is carried out under power price uncertainty using robust optimization. The optimal energy management of a hybrid AC/DC system is modeled as mixed-integer nonlinear programming and solved using the DICOPT solver in GAMS optimization software and solved in two cases, with- and without demand response (DR) programs, to show the impact of DR programs. To evaluate the performance of the proposed method, the problem is solved considering a power price increase up to 30%. In the worst-case analysis, which considers a 30% increase in the power price in the robust case, the total operating cost of the microgrid is obtained as $93,109.380 and $79,640.819 for without- and with-DR cases, respectively. The results show that the total operating cost has been reduced by about 14.16% by using DR programs. In addition, the optimal operation of each generating unit of the hybrid AC/DC system is investigated.