Systems and methods for mitigating resonance in long cable drives

A system comprising:

• a variable-speed drive configured to drive a motor, wherein the variable-speed drive is communicatively coupled to a first resonant controller and a second resonant controller;
• a first transformer configured to couple to the variable-speed drive and an umbilical cable, wherein the first transformer is configured to increase a first voltage output by the variable-speed drive;
• a second transformer configured to couple to the umbilical cable and the motor, wherein the second transformer is configured to decrease a second voltage output by the first transformer;
• wherein the first resonant controller is configured to compensate for a harmonic order of the system by adjusting a magnetizing current used to control an operation of the variable-speed drive based at least in part on a modeled resonance frequency of the system;
• wherein the second resonant controller is configured to compensate for the harmonic order of the system by adjusting a torque current used to control the operation of the variable-speed drive based at least in part on the modeled resonance frequency.

A tangible, non-transitory, machine-readable medium, comprising machine-readable instructions to cause one or more processors to:

• receive a modeled flux component and a modeled speed component of a motor of a power system having one or more transformers;
• receive a measured flux component and a measured speed component of the motor;
• determine a first magnetizing current component based at least in part on the modeled flux component and the measured flux component;
• determine a second magnetizing current component to compensate for a harmonic order of the power system based on a modeled resonance frequency of the power system;
• determine a first torque current component based at least in part on the modeled speed component and the measured speed component;
• determine a second torque current component to compensate for the harmonic order of the power system based on the modeled resonance frequency;
• determine one or more reference voltages based at least in part on the first magnetizing current component, the second magnetizing current component, the first torque current component, and the second torque current component, wherein the one or more reference voltages are configured to control an operation of a variable-speed drive;
• and
• applying the one or more reference voltages to the variable-speed drive coupled to the motor.