Comparison of optimal reactive power flow model in the polar form and the mixed polar form

Abstract This paper establishes the optimal reactive power flow (ORPF) model in the polar form and the mixed polar form. The analysis shows that the ORPF model in the polar form not only has less calculation amount of equality constraints than the ORPF model in the mixed polar form, but also has more concise expressions, which makes it easier to understand, analyze, and remember. The test results of IEEE30, 118, 300, 1047 bus systems show that the ORPF model in the polar form obtains the same optimal value and iteration number as the ORPF model in the mixed polar form, but its calculation time is shorter, and the solving efficiency is higher. With the increasing scale of modern power system, the calculation time of ORPF problem rises, so it is necessary to improve its solving efficiency. The ORPF model in the polar form is more suitable for power system analysis and calculation because of its high solving efficiency.