Mathematical Model and Control Design for Sensorless Vector Control of Permanent Magnet Synchronous Machines

This paper presents a mathematical model and control design for the sensorless vector control of permanent magnet synchronous machines (PMSM). A detailed motor drive including three-phase PWM voltage-source inverter and PMSM and control system models are presented, providing insight into the frequency response based design of all associated loops, namely back-EMF state observer, rotor speed and position estimator, d-q axes current regulator, and speed controller. The complete design procedure is provided, together with simulation and experimental results with a 3.5 kW PMSM drive, all of which verify the excellent results attained by the proposed model and control design methodology