Abstract—In order to solve the optimization of distribution reactive compensation point and capacity, a double optimized model is proposed, which is suitable for reactive compensation optimization with random load distribution or random network structure. For the compensation position and capacity decision variables, the optimized model is described as two layers of optimization with constraint. The outer one is the capacity optimization at determined location, and the inlayer is the location optimization. By introducing Lagrange multiplier, the mixed integer nonlinear optimization is deduced to a linear one that can be easily solved by Gaussian elimination method. For illustration, an application of ten 10kV rural feeders is utilized to show the feasibility of the double optimized model in solving the optimization of distribution reactive compensation point and capacity. Empirical results show that the model can give the optimized result for different number of capacitor installation, and the result with highest line loss decrement will be used as the final decision. This research provides scientific theoretical basis for reactive compensation and plays a vital role in reactive compensation equipment installation and line loss management.

Index Terms—Distribution line, distributed reactive compensation, optimized configuration, decision-making of loss reduction.

Cheng Xiaoxiao and Qun Qian are with the HAEPC Electric Power Research Institute, Zhengzhou (e-mail: chengxiao0722@163.com, sunqiancharm@126.com).
Yin Junhe and Guo Jianli are with Henan Zhumadian Electric Power Corporation, Henan (e-mail: yinjunhe@ha.sgcc.com.cn, gjianli@yahoo.com.cn).