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Induction Machine Direct Torque Control

Induction machine DTC

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  • Induction Machine Direct Torque Control block

Description

TheInduction Machine Direct Torque Controlblock implements an induction machine direct torque control (DTC) structure. The figure shows the equivalent circuit for the block.

Equations

To estimate the torque and flux, theInduction Machine Direct Torque Controlblock discretizes the machine voltage equations in the stationaryɑβreference frame using the backward Euler method. The discrete-time equations for stator fluxes in theɑβframe are:

ψ α = ( v α − i α R s ) T s z z − 1

and

ψ β = ( v β − i β R s ) T s z z − 1

where:

  • vɑisɑ-axis voltage.

  • iɑisɑ-axis current.

  • Rsis the stator resistance.

  • Ψɑis theɑ-axis stator flux.

  • vβisβ-axis voltage.

  • iβisβ-axis current.

  • Ψβis theβ-axis stator flux.

The block calculates the torque and flux as:

T = 3 p 2 ( ψ α i β − ψ β i α )

and

ψ s = ψ α 2 + ψ β 2

where:

  • pis the number of pole pairs.

  • Ψsis the stator flux.

To detect flux and torque estimation errors, the block uses hysteresis comparators. The figure shows hysteresis comparators and the associated switching sectors.

The table shows the optimum switching for an inverter high-side system.

cΨ,cTS(θ) S0 S1 S2 S3 S4 S5
cΨ= 1 cT= 1 1, 1, 0 0, 1, 0 0, 1, 1 0, 0, 1 1, 0, 1 1, 0, 0
cT= 0 1, 1, 1 0, 0, 0 1, 1, 1 0, 0, 0 1, 1, 1 0, 0, 0
cT= -1 1, 0, 1 1, 0, 0 1, 1, 0 0, 1, 0 0, 1, 1 0, 0, 1
cΨ= 0 cT= 1 0, 1, 0 0, 1, 1 0, 0, 1 1, 0, 1 1, 0, 0 1, 1, 0
cT= 0 0, 0, 0 1, 1, 1 0, 0, 0 1, 1, 1 0, 0, 0 1, 1, 1
cT= -1 0, 0, 1 1, 0, 1 1, 0, 0 1, 1, 0 0, 1, 0 0, 1, 1

Assumptions and Limitations

  • The power inverter dead times are not considered. For hardware implementation, add the dead time externally.

Ports

Input

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Reference stator flux.

Data Types:single|double

Reference torque.

Data Types:single|double

Stator phase voltages.

Data Types:single|double

Stator phase currents.

Data Types:single|double

Output

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Inverter gate pulses. The block does not consider any dead time.

Data Types:single|double

Parameters

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Resistance of the machine stator.

Number of machine pole pairs.

总带宽说tributed symmetrically around the flux set point.

总带宽说tributed symmetrically around the set point.

Time, in s, between consecutive block executions. During execution, the block produces outputs and, if appropriate, updates its internal state. For more information, seeWhat Is Sample Time?andSpecify Sample Time.

If this block is inside a triggered subsystem, inherit the sample time by setting this parameter to-1. If this block is in a continuous variable-step model, specify the sample time explicitly using a positive scalar.

Model Examples

Asynchronous Machine Direct Torque Control

Asynchronous Machine Direct Torque Control

Control an asynchronous machine (ASM) using the direct-torque control method. A PI-based speed controller supplies the torque reference. The direct-torque controller generates the inverter pulses.
Open Model

References

[1] Takahashi, I., and T. Noguchi. "A New Quick-Response and High-Efficiency Control Strategy of an Induction Motor."IEEE Transactions on Industry Applications. Vol. IA-22, Number 5, 1986, pp. 820 - 827.

Extended Capabilities

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

版本历史

Introduced in R2017b

See Also

Blocks