A method of controlling torque ripple in an electrical machine that includes a field winding for creating nominally constant field current using DC current and an armature winding for creating a rotating magnetic field using AC current, calls for superimposing a spatially varying current component on to the DC current of the field winding. Other methods are also disclosed that are suitable for electrical machines that have a winding that is excited with nominal DC current including SRMs, FSMs, and wound-field synchronous motors.