Siting and Sizing of Shunt Compensation Considering Dynamic Reactive Power Optimization Strategy

China's power system is currently undergoing a transformation and upgrade towards new power system that prioritizes renewable energy sources. Strengthening reactive power and voltage control is crucial to ensure the safe and economical operation of this system. In this paper, we propose a siting and sizing method of shunt reactive power compensation that considers dynamic reactive power optimization strategy, aiming to minimize power transmission loss in each time period from an economic perspective. The dynamic reactive power optimization problem is characterized by its large-scale, multi-period, and strong coupling nature, which makes it a mixed-integer nonlinear programming problem. The main challenges with solving this problem lie in handling the highly nonlinear AC power flow equation constraints and the constraints associated with switching operation times of discrete reactive power compensation devices. To address these challenges, we propose a siting and sizing method of shunt reactive power compensation that considers operational optimization. The AC power flow equation constraints are handled using second-order cone relaxation, while the switching operation times constraints are equivalently transformed into a linear inequality constraint set. This approach reduces computational complexity while ensuring sufficient accuracy to meet practical engineering needs. The proposed method's effectiveness and economic viability are validated through case studies conducted on the IEEE 30-bus system.