Sinusoidal Wave Formation for Reduction of Oscillations, Harmonics and Distortion Using Short Pulses to Reduce the Number of Required Impedance Injection Units

A method for synchronized injection of impedance into high voltage (HV) transmission line, the method comprising:

• generating, by a plurality of impedance injection units (IIUs) coupled to the HV transmission line, impedance injection waves that cumulatively form a pseudo-sinusoidal wave, wherein the impedance injection waves comprise a first subgroup of one or more impedance injection waves and a second subgroup of one or more impedance injection waves;
• aligning and synchronizing, by the plurality of IIUs, the first and second subgroups of impedance injection waves with each other to reduce a step height of the pseudo-sinusoidal wave, the first subgroup of impedance injection waves each having an amplitude greater than an amplitude of each of the second subgroup of impedance injection waves;
• and
• injecting, by the plurality of IIUs, the pseudo-sinusoidal wave, as impedance, into the HV transmission line;
• wherein the plurality of IIUs form multiple connection configurations in sequence, each connection configuration comprising one IIU or multiple IIUs in series, parallel or combination thereof, coupled to the HV transmission line.