Distribution network phase load balancing as a combinatorial optimization problem using fuzzy logic and Newton–Raphson

The electrical network system is to ensure that an adequate supply is available to meet the estimated load of the consumers in both the near and more distant future. In order to avoid excessive voltage drop and minimize loss, it may be economical to install apparatus to balance or partially balance the loads. It is believed that the technology to achieve an automatic load balancing lends itself readily for the implementation of different types of algorithms for automatically rearranging the connection of consumers on the low voltage end of a feeder for optimal performance. In this paper the combination of the fuzzy logic, which addresses the linear solution, with Newtown Raphson as optimization method for the nonlinear behavior of the load is developed. A study case is presented for a radial feeder of 150 loads.

Research highlights▶ We presented load balancing system based on fuzzy logic and Newton Raphson. ▶ We proposed solution that uses fuzzy logic to address the linear behavior of the system. ▶ Newton Raphson tackles the optimization of the non-linear aspect of the load. ▶ We tested load balancing system at the three-phase, four-wire unbalanced feeders. ▶ Simulation results show a substantial improvement of the unbalanced conditions.