An electrical system includes an inverter connected to AC and DC voltage buses, a cycloidal electric machine connected to the PIM via the AC voltage bus, and a controller. The machine's rotor is eccentric with respect to the stator, an airgap between the stator and rotor is smaller at an instantaneous center of rotation of the rotor than elsewhere around a circumference of the rotor, and the rotor moves with two degrees of freedom (2DOF), i.e., rotating and orbiting motion. The controller receives a torque command, the rotor position signal, and the current signals, and in response identifies an optimal stator pole or pole pair located proximate the instantaneous center of rotation and energizes the optimal stator pole or pole pair via the PIM prior to energizing another stator pole or pole pair of the stator.