Power management of variable capacitors in electrical grid systems according to the criterion of mini-mum energy loss

The aim is to manage the transmitted reactive power in electrical grids using variable capacitor batteries according criterion of minimum energy loss under different annual load schedules and numbers sections. main theoretical relations were obtained by methods mathematical modelling integral calculus theory optimal control. influence number sections a battery on losses grid was estimated computational experiments. Dependencies for battery, as well reducing grid, obtained. These expressions are valid linearized schedules. It shown that dependences reduction section have inflection points pass through maximum. presence associated with change operating throughout year. maximum explained fact that, an increase its time decreases complete established static capacitors two can reduce when transmitting over 90%. For three- four-section capacitors, close 100%. increases approaching maximal levels load. Energy systems be reduced no more than three or four In most cases, this achieved two-section batteries.