Context:

The use of capacitor banks is the most common and preferred solution for reducing power losses in electrical distribution networks, given their cost-effectiveness and low maintenance requirements. However, achieving their optimal integration in terms of location and size is a challenging problem.

Method:

This paper proposes a stochastic mixed-integer convex model based on a branch flow optimization model, which incorporates three different load-generation conditions, in order to address the stochastic nature of distribution systems.

Results:

The simulation results indicate that the proposed stochastic mixed-integer branch flow (SMIBF) model provides the best solution for all test feeders analyzed, reducing the objective function value by 39,81, 35,29, and 56,31 % regarding the benchmark case in the modified 33-, 69-, and 85-node test feeders, respectively.

Conclusions:

An SMIBF model was developed to optimally integrate fixed-step capacitor banks into electrical distribution grids. This model considered the stochastic nature of distribution systems under multiple operating conditions and ensured that the global optimum could be found.

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