DQ0 Modelling and Parameterization of small Delta connected PM Synchronous Machines

Abstract

This paper presents an extended dq0-model for small delta-connected Permanent Magnet Synchronous Machines (PMSM), the design of a prototype and the parameterization of the model parameters by testbench measurement. The familiar dq-fundamental equations are thereby extended to consider harmonic effects. This allows the inclusion of the zero-sequence flux-linkage. The model, based on the dq0-flux-linkages and the stator resistance, enables the calculation of the zero-sequence current and a more precise inner torque estimation compared to state of the art fundamental models. The rotor position dependent dq-flux-linkage estimation is based on the measured dq-voltages and the solution of the simplified differential system equation. Detection of the zerosequence current yields to the zero-sequence flux-linkage. In this paper, we also present a prototype design of a PMSM machine with additional zero-sequence current sensing. Testbench measurement at constant controlled currents enables the parameter identification. For validation, the identified parameters are compared with existing Finite Element Analysis.

Predictive Trajectory Control with Online MTPA Calculation and Minimization of the Inner Torque Ripple for Permanent-Magnet Synchronous Machines

“…For the solution of the resulting coupled differential Equations ( 6) and ( 7) the "separation of the variables" method is used [14].…”

“…. A more detailed view on the derivation of this parameterization approach, the assumptions, implementation, and measurement are presented in [14,15]. For example, the flux-linkages ψ d and ψ q of the prototype for the practical measurements, assuming ω = const.…”

“…, necessary for the control algorithm, can be calculated by numerical inversion of the flux-linkages 15.000 rpm at 70 kW peak power at a voltage of 300 V DC .…”

“…The algorithm uses an optimization based on the reachable operating points considering the latest operating point within the different planes. Therefor the flux-linkages have to be calculated according to (15) and ( 16) at each time t n n ∈ N and for each corner of the reachable control voltage hexagon. Considering the inverse flux-linkages i d , i q , γ = f −1 ψ ψ d , ψ q , γ yields the estimation of the attainable currents.…”

“…Figure14. Simulation setup with 500 rpm in the beginning and increased after 0.02 s to 7000 rpm for the operation at field-weakening.…”