SYSTEMS AND METHODS FOR CONTROLLING A DC/AC INVERTER FOR USE WITH AN ELECTRIC MOTOR OR AN AC GRID

Systems and methods relating to controlling power from renewable power sources. There is provided a control system that uses a non-linear controller for controlling currents in a DC/AC inverter especially when the DC/AC inverter is providing PV power to a 3-phase motor when the system is in an off-grid mode. In on-grid mode, a power grid is coupled to the DC/AC inverter and the control system provides MPPT to provide PV power to the grid. In off-grid mode, the grid is not coupled to the DC/AC inverter. The non-linear controller is based on differentiable manifolds that are also Lie groups. In off-grid mode, this non-linear controller finds the correct phase and frequency for the inverter current for the motor. The frequency is the output of the Lie group-based controller and is generated based on the voltage and current vectors of the motor.