A method for controlling a voltage source power converter of a renewable energy power conversion system includes providing the voltage source power converter having, at least, a rotor-side converter and a line-side converter. The method also includes generating, via a converter controller, a first set of switching pulses based on a third-harmonic phase opposition carrier-based pulse width modulation (PO_CB_PWM) scheme. Further, the method includes generating, via the converter controller, a second set of switching pulses based on a third-harmonic in phase carrier-based pulse width modulation (IP_CB_PWM) scheme. As such, the method includes implementing, via the converter controller, a pulse-width modulation scheme for the rotor-side and line-side converters using the first and second sets of switching pulses, respectively, to obtain an output voltage from the voltage source converter to a desired magnitude, shape, and/or frequency.