Model for optimal balancing single-phase traction load based on Steinmetz´s method

Steinmetz´s method based on correction of the unbalanced load to a fully balanced one with unity power factor is widely used for balancing large scale single-phase traction load. This paper presents a model for balancing shunt compensators which extends the shunt compensators´ capacity to providing any desirable levels of the system balancing and reactive power compensation. The model includes systems constraints and provides an optimal solution. Based on this model, the analysis of the shunt compensators´ parameters is performed for full and partial balancing with the focus on reducing compensation capacity of reactive power equipment. According to the mathematical analytic solution of the optimal model, the calculation results are given with MATLAB for different load and object conditions, which demonstrate the advantages of the optimal method proposed.