Abstract

A unified spiral vector model is presented that can be used to assist the finite element method-based performance analysis of brushless doubly-fed induction machines with various short-circuited rotor windings. Specifically, magnet-free brushless doubly-fed induction machines working in doubly-fed or singly-fed synchronous mode are investigated. A dynamic model in spiral vector notation is developed, based on which the torque-angle and power-angle characteristics are derived. It is shown that the investigated brushless machines are equivalent to a traditional non-salient-pole synchronous machine with brushes. By introducing a conversion factor, they can also be analyzed with methods similar to the conventional phasor theory. A comparison is made between the brushless doubly-fed induction machine and non-salient-pole wound-field synchronous machine with brushes, revealing that the performance of the brushless machine degrades faster when the laminated core is saturated. A scaled-down prototype is tested to validate the effectiveness of the theoretical analysis.

Highlights

  • Introduction1Doubly-fed machines (DFMs), which feature two independent alternating current (AC) electrical ports (i.e., two accessible AC winding sets) and one common mechanical port (i.e., the shaft), and the synchronous operation functionality, have attracted much attention over recent decades as variable speed motor drives or generators for various applications, such as electric vehicles (EVs) and wind power harvesting [1,2]

  • A unified spiral vector model is presented that can be used to assist the finite element method-based performance analysis of brushless doubly-fed induction machines with various short-circuited rotor windings

  • Though bearing quite different topologies, the three brushless DFMs (BDFMs) show strong similarities in steady-state performance, dynamic behavior, and control structure. These three BDFMs have been developed in parallel and have stimulated one another; the relationship among these three typical topologies has never been explicitly discussed from the perspective of both design and control, which is probably due to the differences in their mathematical models

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Summary

Introduction1

Doubly-fed machines (DFMs), which feature two independent alternating current (AC) electrical ports (i.e., two accessible AC winding sets) and one common mechanical port (i.e., the shaft), and the synchronous operation functionality, have attracted much attention over recent decades as variable speed motor drives or generators for various applications, such as electric vehicles (EVs) and wind power harvesting [1,2]. A two-axis model in a rotor reference frame was established for the first time for the dynamic simulation [12,13,14] and stability analysis [15,16,17] of BDFIMs. A so-called rotor-flux-oriented control scheme was proposed in Ref. This study focused on developing a concise unified dynamic mathematical model for BDFIMs with various rotor winding types to facilitate their finite element method-based comparison with the other two main types of BDFMs in the future. (1) A spiral vector model for the unified steady-state and dynamic analysis of various BDFIMs with short-circuited rotor windings was been developed.

Fundamentals of BDFIMs
Modeling of BDFIM
Spiral vectors
Parameter calculation
Steady-state operation
Doubly-fed synchronous operation
Comparison with synchronous machine
Prototyping and experimental validation
Conclusions
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