Known power transmission systems deliver electrical power to electrical loads over transmission lines. The quality of the delivered power is characterized by a power factor, which is defined as a ratio of real power to apparent power, i.e., P:S. For purely resistive loads, the power factor is one, i.e., 1:1. For purely reactive loads, the power factor is zero, i.e., 0:1. Low power factors generally indicate inefficient power transmission, as the accompanying reactive load demands increased apparent power to achieve a demanded real power, resulting in increased heat loss due to increased current levels. Conversely, too little reactive power in a transmission system can degrade performance of transformers and transmission lines, resulting in poor voltage regulation, lower margins to voltage collapse, or poor power flow.