A Mixed-Integer Second-Order Cone Programming Algorithm for the Optimal Power Distribution of AC-DC Parallel Transmission Channels

Abstract

For the controllability of the transmission power of DC transmission channels, the optimal power distribution (OPD) of AC-DC parallel transmission channels is an effective measure for improving the economic operation of an AC-DC interconnected power grid. A dynamic optimal power flow model for day-ahead OPD of AC-DC parallel transmission channels is established in this paper. The power flow equation constraints of an AC-DC interconnected power grid and the constraints of the discrete regulation requirement of the transmission power of DC channels are considered, which make the OPD model of the AC-DC parallel transmission channels a mixed-integer nonlinear non-convex programming (MINNP) model. Through a cone relaxation transformation and a big M method equivalent transformation, the non-convex terms in the objective function and constraints are executed with the convex relaxation, and the MINNP model is transformed into a mixed-integer second-order cone programming model that can be solved reliably and efficiently using the mature optimization solver GUROBI. Taking an actual large-scale AC-DC interconnected power grid as an example, the results show that the OPD scheme of the AC-DC parallel transmission channels obtained by the proposed algorithm can effectively improve the economical operation of an AC-DC interconnected power grid.

A Data-Driven Genetic Algorithm for Power Flow Optimization in the Power System With Phase Shifting Transformer

“…In order to further verify the optimization performance of the proposed method, we compared the calculation time and optimization results of different data-driven GA, the modeldriven GA, and the traditional mathematical programming method at 100% load level. Considering the discrete characteristics of the PST, the power flow optimization problem of the traditional solution method is transformed into a mixed-integer second-order cone programming (MISOCP) model (Lin et al, 2019). Then, the mature optimization solver GUROBI is used to solve the problem (Lin et al, 2019).…”

“…Considering the discrete characteristics of the PST, the power flow optimization problem of the traditional solution method is transformed into a mixed-integer second-order cone programming (MISOCP) model (Lin et al, 2019). Then, the mature optimization solver GUROBI is used to solve the problem (Lin et al, 2019). The time cost and solution results of various models are shown in Table 7.…”