Abstract
This chapter presents the root locus of the induction machine model with the associated damping ratio when the parameters of frequency \(f_s\), slip s, stator resistance \(R_s\) and rotor resistance \(R_r\) are varying. The analysis indicates the fast and slow modes of the induction machine dynamics. Investigation is conducted on how these fast and slow modes are coupled and how the coupling affects the system dynamic performance. Furthermore, it is also discovered in this chapter that the steady-state equivalent circuit model has incorrect dynamic characteristics, and subsequently improvement is presented.
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Notes
- 1.
We use the term ‘flux’ for ‘flux linkage’ in this chapter if it does not necessarily have to be mentioned by ‘flux linkage’ explicitly.
- 2.
Represented by the real part of the eigenvalue.
- 3.
Represented by the imaginary part of the eigenvalue.
- 4.
The magnetizing inductance \(L_M\) of equivalent circuit model is for one phase. However, \(L_M\) of \(\alpha \beta \) and dq-frame model is after the Clark transformation which takes combined effect of three phases into account.
- 5.
The machine torque has many expressions as a result of cross product of vectors of stator current, rotor current, stator flux, rotor flux or air gap flux etc. This is not in the scope of this book.
- 6.
The voltage drop at \(L_{sl}\) is only during transient.
- 7.
Time constant for rotor current in the field direction is the same as that of the torque or the quadrature current.
- 8.
\(I_q = I_{sq}=I_{rq}^*\).
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Shen, S., Chen, Qz. (2024). Induction Machine Dynamics Analysis. In: Practical Control of Electric Machines for EV/HEVs . Lecture Notes in Electrical Engineering, vol 1064. Springer, Cham. https://doi.org/10.1007/978-3-031-38161-4_4
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DOI: https://doi.org/10.1007/978-3-031-38161-4_4
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