Marco Fei

Complex Dynamic Models of Multi-Phase Permanent Magnet Synchronous Motors

Abstract In the paper two power-invariant real and complex state space transformations for modeling multi-phase electrical machines in a compact and general form are proposed. In particular the paper deals with the modeling of multi-phase permanent magnet synchronous machines with an arbitrary number of phases and an arbitrary shape of the rotor flux. The dynamic model of the motor is obtained using a Lagrangian approach and in the frame of the Power-Oriented Graphs technique. The obtained models are equivalent from a mathematical point of view and can be directly implemented in Simulink. The complex transformed model is quite compact and uses a reduced order state vector. Some simulation results end the paper.

Modeling of multi-phase permanent magnet synchronous motors under open-phase fault condition

This paper deals with the modeling of multi-phase permanent magnet synchronous motors under open-phase fault condition. Multi-phase electrical motors offer high reliability thanks to their capability to operate safely even in case of faults such the loss of some phase. In this paper the model of a multi phase PM machine in the case of open phase fault condition is proposed. The model is suitable for faults occurring at any phases: the faults can happen on one single phase or more than one phase (both adjacent and not adjacent phases). Moreover the model holds for any shape of the rotor flux and for a generic odd number of phases.

Modeling of multi open phase fault condition of multi-phase permanent magnet synchronous motors

This paper deals with the modeling of multi-phase permanent magnet synchronous motors under multi open phase fault condition. The presented model is suitable for generic number of phases, generic shape of the rotor flux and generic number of open circuit faults. The motor model in fault condition can be used for faults occurring on both adjacent and not adjacent phases. The model can be very useful both for simulation and implementation of fault-tolerant control strategies.

Multi-phase synchronous motors: Minimum dissipation fault-tolerant controls

Multi-phase electrical motors offer high reliability thanks to their capability to operate safely even in case of faults such the loss of one or more phases. This paper presents a new vectorial approach that allows to obtain the optimal current references for a multi-phase permanent magnet synchronous motor under open-phase fault condition. The approach is as general as possible: the proposed control law can be used for any shape of the rotor flux, for a generic odd number of phases and in presence of one or more phase failures. The presented control ensures to obtain the desired torque without ripple, minimizing the dissipation, even in fault condition. Some simulation results validate the proposed control law.

Control of a five-phase synchronous motors with third harmonic constrained injection

This paper deals with the torque control of five-phase permanent magnet synchronous machines with first and third harmonics injection. A new vectorial approach to describe the voltage and current limits is proposed. Starting from the transformed dynamic equations and using the voltage and current constraints, the optimal current references minimizing the dissipation and maximizing the torque is obtained. The proposed control law holds for an arbitrary shape of the rotor flux. Some simulation results validate the proposed control law.

Saturated Vectorial Control of Multi-phase Synchronous Motors

Abstract This paper deals with the torque control of multi-phase permanent magnet synchronous machines. The dynamic model of these motors is obtained using the Power-Oriented Graphs technique. This graphical modeling technique allows to write the dynamic equations of the system in a very compact form. Starting from the dynamic equations, a torque control law with saturated input voltages is proposed based on a new current vector approach for describing the voltage constraint. Some simulation results validate the proposed control law.

Multi-phase synchronous motors: Minimum dissipation fault-tolerant control with currents saturation

Multi-phase motor drives are more reliable than the traditional three-phase ones because they can continue to operate safely even in case of faults such as the loss of one or more phases. This paper deals with the control of multi-phase permanent magnet synchronous motors under open-phase fault condition. Using a vectorial approach the optimal current references in fault condition which provide the desired torque minimizing the dissipation and satisfying the limit current are obtained in the rotating reference frame. The approach is as general as possible: the proposed control law can be used for any shape of the rotor flux, for a generic odd number of phases and in presence of one or more phase failures.

Dynamic modeling of multi-phase hybrid stepper motors

The paper presents the dynamic modeling of Multi-phase Hybrid Stepper Motors (MHSM). The model is as general as possible and it is obtained using a Lagrangian approach in the frame of the Power-Oriented Graphs (POG) technique. The obtained dynamic models can be directly implemented in Simulink and they can be used to simulate also the Permanent Magnet and the Variable Reluctance stepper motors. Some simulation results are finally presented.

Dynamic modeling of a Full Toroidal Variator: The Power-Oriented Graphs approach

The Full Toroidal Variator is the core element in many mechanical hybrid systems for vehicle applications like Kinetic Energy Recovery System and Infinitely Variable Transmission because it allows to manage the power transfer with continuous variation of the speed-ratio. In this paper the model of a Full Toroidal Variator is addressed using Power-Oriented Graphs (POG) that is an energy-based modeling technique. Modeling with POG allows to easily transform and reduce the model when some dynamics of the system go to zero. An extended and reduced POG model of the Full Toroidal Variator are given. Simulation results of the modeled system are shown.

Real and complex models of multi-phase permanent magnet synchronous motors

This paper deals with the modelling of multi-phase permanent magnet synchronous machines (PMSM) with an arbitrary number of phases and arbitrary shape of the rotor flux. The aim of the paper is to propose new dynamic models for the multi-phase electrical machines based on the use of real and complex state space transformations which are invariant with respect to power. The dynamic models of the motor are obtained using a Lagrangian approach in the frame of the power-oriented graphs technique. The obtained dynamic models can directly be implemented in Simulink whatever the number of phase is. The state space transformations presented in the paper (both real and complex) are compared to the main other transformations know in the literature. Some simulation results are finally presented.