System and method of remotely connecting and disconnecting an auxiliary power supply of the frequency inverter for variable capacity compressors employed in cooling systems. The inverter includes a circuit breaker that when it receives an external signal to activate the auxiliary power supply indicating that the auxiliary supply should be connected, the circuit breaker enables the auxiliary power supply, which activates the inverter. The inverter begins sending, continually, the internal maintenance signal to activate the auxiliary supply to the circuit breaker indicating that the auxiliary supply should be kept running, making the circuit breaker maintain the auxiliary power supply enabled. When the circuit breaker receives an external deactivation signal from the auxiliary supply indicating that the auxiliary supply should be disconnected, the inverter stops sending the signal to maintain the auxiliary supply activated to the circuit breaker, and the circuit breaker disables the auxiliary power supply, deactivating the inverter.