Electric machine core with arcuate grain orientation

An electrical system comprising:

• a power supply;
• and
• a rotary electric machine electrically driven via a voltage from the power supply, and having:
• a rotor having a rotary axis and a cylindrical rotor core;
• a stator having a center axis, a cylindrical stator core, and plurality of stator teeth connected to and radially-projecting from the cylindrical stator core, wherein at least one of the cylindrical stator core and the cylindrical rotor core is constructed of a grain-oriented ferrous material having a circular or arcuate grain orientation;
• and a load coupled to and configured to be driven by the rotor when the stator is energized by the power supply, wherein the rotor is eccentrically positioned radially within the stator such that the rotary electric machine is a cycloidal electrical machine having two degrees of freedom of motion, including rotating motion about the rotary axis of the rotor and orbiting motion about the center axis of the stator;
• and
• a rotor constraint mechanism connected to and configured to constrain motion of the rotor to enable the rotor to generate and transmit output torque to a load in at least one of the two degrees of freedom of motion.

A method of constructing a cylindrical rotor core for a rotary electric machine, the method comprising:

• forming a cylindrical rotor core, including winding an elongated strip of grain-oriented electrical steel (GOES) having a linear grain orientation into one or more circular turns, each of the turns having a circular or arcuate grain orientation along a respective plane of the one or more circular turns and then joining the circular turns together to form the cylindrical rotor core;
• constructing a rotor of the rotary electric machine using the cylindrical rotor core;
• eccentrically positioning the rotor radially within a stator of the rotary electric machine, such that the rotor has two degrees of freedom of motion, including rotating motion about a rotary axis of the rotor and orbiting motion about a center axis of the stator;
• and
• connecting the rotor to a rotor constraint mechanism to thereby constrain motion of the rotor and thereby enable the rotor to generate and transmit output torque to a load in at least one of the two degrees of freedom of motion.