Switched Reluctance Motor

Model the dynamics of switched reluctance motor

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Libraries:
Simscape / Electrical / Specialized Power Systems / Electrical Machines

Description

The Switched Reluctance Motor (SRM) block represents three most common switched reluctance motors: three-phase 6/4 SRM, four-phase 8/6 SRM, five-phase 10/8 SRM, as shown in the following figure.

The electric part of the motor is represented by a nonlinear model based on the magnetization characteristic composed of several magnetizing curves and on the torque characteristic computed from the magnetization curves. The mechanic part is represented by a state-space model based on inertia moment and viscous friction coefficient.

To be versatile, two models are implemented for the SRM block: specific and generic models. In the specific SRM model, the magnetization characteristic of the motor is provided in a lookup table. The values are obtained by experimental measurement or calculated by finite-element analysis. In the generic model, the magnetization characteristic is calculated using nonlinear functions and readily available parameters.

Examples

Switched Reluctance Motor

A current-controlled 60-kW 6/4 SRM drive using the SRM specific model based on measured magnetization curves. 8/6 and 10/8 preset models are also presented with same control strategy.

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Ports

Input

TL — Mechanical load torque

physical signal

Mechanical load torque (in N.m). TL is positive in motor operation and negative in generator operation.

Output

m — Measurement signal

vector

Vector containing several signals. You can demultiplex these signals by using the Bus Selector block from Simulink^® library.

Signal	Definition	Units
V	Stator voltages	V
flux	Flux linkage	V.s
I	Stator currents	A
Te	Electromagnetic torque	N.m
w	Rotor speed	rad/s
theta	Rotor position	rad

Conserving

A1 — Phase A

specialized electrical

Specialized electrical conserving port associated with phase A.

A2 — Phase A

specialized electrical

Specialized electrical conserving port associated with phase A.

B1 — Phase B

specialized electrical

Specialized electrical conserving port associated with phase B.

B2 — Phase B

specialized electrical

Specialized electrical conserving port associated with phase B.

C1 — Phase C

specialized electrical

Specialized electrical conserving port associated with phase C.

C2 — Phase C

specialized electrical

Specialized electrical conserving port associated with phase C.

D1 — Phase D

specialized electrical

Specialized electrical conserving port associated with phase D.

Dependencies

To enable this port, set Type to 8/6, 10/8, 8/6 (75 kw preset model), or 10/8 (10 kw preset model).

D2 — Phase D

specialized electrical

Specialized electrical conserving port associated with phase D.

Dependencies

To enable this port, set Type to 8/6, 10/8, 8/6 (75 kw preset model), or 10/8 (10 kw preset model).

E1 — Phase E

specialized electrical

Specialized electrical conserving port associated with phase E.

Dependencies

To enable this port, set Type to 10/8 or 10/8 (10 kw preset model).

E2 — Phase E

specialized electrical

Specialized electrical conserving port associated with phase E.

Dependencies

To enable this port, set Type to 10/8 or 10/8 (10 kw preset model).

Parameters

To edit block parameters interactively, use the Property Inspector. From the Simulink Toolstrip, on the Simulation tab, in the Prepare gallery, select Property Inspector.

Parameters

Type — Machine type

6/4 (default) | 8/6 | 10/8 | 6/4 (60 kw preset model) | 8/6 (75 kw preset model) | 10/8 (10 kw preset model)

Set to 6/4 (default) to specify a three-phase 6/4 motor.

Set to 8/6 to specify a four-phase 8/6 motor.

Set to 10/8 to specify a five-phase 10/8 motor.

Set to 6/4 (60 kw preset model), 8/6 (75 kw preset model), or 10/8 (10 kw preset model) to use a predetermined specific model of a switched reluctance motor. When you use these presets, you do not need to specify the parameters in the Model tab.

Stator resistance (Ohm) — Stator resistance

0.01 (default)

Resistance Rs (Ω) of each stator phase winding.

Inertia (kg.m.m) — Inertia momentum

0.0082 (default)

Inertia momentum J (kg.m²).

Friction (N.m.s) — Friction coefficient

0.01 (default)

Friction coefficient B (N.m.s).

Initial speed and position [w0(rad/s) Theta0(rad)] — Initial rotation speed and rotor position

[0 0] (default)

Initial rotation speed w0 (rad/s) and initial rotor position Theta0 (rad).

Sample time (-1 for inherited) — Block sample time

−1 (default)

Sample time used by the block. To inherit the sample time specified in the Powergui block, set this parameter to −1.

Model

Machine model — Machine model

Generic model (default) | Specific model

Select Generic model (default) or Specific model. The Model tab is modified accordingly.

Unaligned inductance (H) — Stator inductance when rotor is in unaligned position

0.67e-3 (default)

Stator inductance when the rotor is in unaligned position L_q (H).

Dependencies

To enable this parameter, set Machine model to Generic model.

Aligned inductance (H) — Unsaturated stator inductance when rotor is in aligned position

23.6e-3 (default)

Unsaturated stator inductance when the rotor is in aligned position L_d (H).

Dependencies

To enable this parameter, set Machine model to Generic model.

Saturated aligned inductance (H) — Saturated stator inductance when rotor is in aligned position

0.15e-3 (default)

Saturated stator inductance when the rotor is in aligned position L_dsat (H).

Dependencies

To enable this parameter, set Machine model to Generic model.

Maximum current (A) — Stator maximum current

450 (default)

Stator maximum current I_m (A).

Dependencies

To enable this parameter, set Machine model to Generic model.

Maximum flux linkage (V.s) — Maximum flux linkage

0.486 (default)

Maximum flux linkage ψ_m (Wb or V.s) corresponding to I_m.

Dependencies

To enable this parameter, set Machine model to Generic model.

Plot magnetization curves — Option to plot magnetization curves

off (default) | on

If selected, the mask plots the magnetization curves corresponding to the lookup table provided. The magnetization curves represent the machine flux linkage versus the stator current with the rotor position as a parameter.

Source — Source option

Dialog (default) | MAT-file

Select Dialog to specify the magnetization characteristic directly in the mask of the block. Select Mat file (default) to specify the magnetization characteristic from data in a MAT file.

Dependencies

To enable this parameter, set Machine model to Specific model.

Magnetization characteristic table — Magnetization characteristic table

'srm64_60kw.mat' (default)

When the Source parameter is set to Dialog, enter the 2-D lookup table containing the flux linkage as a function of stator current and rotor position.

When the Source parameter is set to MAT-file, enter the name of the MAT-file that contains the 2-D lookup table flux linkage table, the rotor angle vector, and the stator current vector. The MAT-file must contain these three variable names: FTBL, RotorAngles, and StatorCurrents.

Dependencies

To enable this parameter, set Machine model to Generic model.

Rotor angle vector (degrees) — Rotor position for flux linkage

[0 10 20 30 40 45] (default)

Rotor position Θ (deg) for which the flux linkage is specified.

Dependencies

To enable this parameter, set Machine model to Generic model and Source to Dialog.

Stator current vector (A) — Stator current for flux linkage

[0:25:450] (default)

The stator current I_s (A) for which the flux linkage is specified.

Dependencies

To enable this parameter, set Machine model to Generic model and Source to Dialog.

References

[1] T.J.E. Miller, Switched Reluctance Motors and Their Control, Clarendon Press, Oxford, 1993.

[2] R. Krishnan, Switched Reluctance Motor Drives, CRC Press, 2001.

[3] D.A. Torrey, X.M. Niu, E.J. Unkauf, “Analytical modelling of variable-reluctance machine magnetisation characteristics,” IEE Proceedings - Electric Power Applications, Vol. 142, No. 1, January 1995, pp. 14-22.

[4] H. Le-Huy, P. Brunelle, “Design and Implementation of a Switched Reluctance Motor Generic Model for Simulink SimPowerSystems,” Electrimacs 2005 Conference.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced before R2006a