Induction Machine Direct Torque Control (Single-Phase)

Single-phase induction machine direct torque control

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库:
SIMSCAPE /电气 /控制 /感应机控制

描述

TheInduction Machine Direct Torque Control (Single-Phase)block implements a single-phase induction machine direct torque control structure.

Equations

This diagram shows the direct torque control architecture for single-phase machines

The torque and flux estimation is based on machine voltage equations. The discrete-time voltage equations using the backward Euler discretization method, are:

$ψ_{a} = (v_{a} - i_{a} R_{a s}) \frac{T_{s} z}{z - 1}$

$ψ_{b} = (v_{b} - i_{b} R_{b s}) \frac{T_{s} z}{z - 1}$

where:

R_as和R_bsare the main winding resistance and the auxiliary winding resistance, respectively.
i_a和i_bare the main winding current and the auxiliary winding current, respectively.
v_a和v_bare the main and auxiliary winding voltage, respectively.
ψ_a和ψ_bare the main and auxiliary winding flux, respectively.

扭矩和通量来自：

$T = p (a ψ_{a} i_{b} - \frac{1}{a} ψ_{b} i_{a})$

$ψ_{s} = \sqrt{ψ_{a}^{2} + ψ_{b}^{2}}$

where:

pis the number of pole pairs.
a是主绕组转弯比的辅助。

Employing simple hysteresis comparators detects the status of flux and torque errors. The following figures illustrate the hysteresis comparators and the switching sectors.

The table shows the optimum switching table (inverter high side).

c_ψ,c_T,S(θ)		S₀	S₁	S₂	S₃
`c_ψ`= 1	`c_T`= 1	1，1	0，1	0，0	1，0
`c_ψ`= 1	`c_T`= 0	1，0	1，1	0，1	0，0
`c_ψ`= 0	`c_T`= 1	0，1	0，0	1，0	1，1
`c_ψ`= 0	`c_T`= 0	0，0	1，0	1，1	0，1

The torque reference can be provided as an input, or, in the case of speed control, be generated internally using a PI speed controller.

通量参考是在内部生成的：

$ψ_{s}^{*} = \frac{2 π f_{n} ψ_{n}}{p \min (| ω_{r} |, \frac{2 π f_{n}}{p})}$

where,

ω_r是rad/s中的转子角机械速度。
f_n是额定频率。
ψ_nis the rated flux.

限制

在此块中不考虑逆变器的死亡时间。对于硬件实施，在外部添加死时间。

端口

输入

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`参考`— Torque or angular velocity reference
scalar

在rad/s中指定角速度参考或NM中的扭矩参考。

Data Types:single|双倍的

`iab`— Stator currents
scalar

主和辅助绕组的定子电流。

Data Types:single|双倍的

`vab`- 定子电压
scalar

主和辅助绕组的定子电压。

Data Types:single|双倍的

`wr`- 转子角速度
scalar

Measure rotor angular speed in rad/s.

Data Types:single|双倍的

Output

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`G`- 逆变器门脉冲
`0`|`1`

逆变器门脉冲，指定为布尔值。不考虑死亡时间。

Data Types:single|双倍的

`Visualization`— Internal signals for visualization
`参考`|`转子速度`|`TqRef`|`FluxRef`|`扭矩`|`Flux`

Bus containing internal signals for visualization. The signals are:

参考torque or speed
转子速度，rad/s
扭矩参考，在NM中
Flux Reference, in Wb
扭矩, in Nm
Flux, in Wb

Data Types:single|双倍的|bus

Parameters

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General

`控制模式`- 指定控制模式
`Speed control`（默认）|`扭矩control`

Specify the control mode. The reference input is taken as angular speed, in rad/s, forSpeed control和torque, in Nm, for扭矩control。

`Rated electrical frequency (Hz)`— Specify rated electrical frequency
`60`（默认）|正标量

额定电频率，以Hz为单位。

`杆对数`- 指定杆对
`2`（默认）|正标量

杆对数。

`Main winding stator resistance, Ras (Ohm)`- 指定主要绕组定子电阻
`1.8180`（默认）|正标量

Resistance of the main winding stator, in Ohms.

`辅助缠绕定子电阻，RBS（ohm）`— Specify auxiliary winding stator resistance
`6.4260`（默认）|正标量

辅助缠绕定子的电阻，欧姆。

`Auxiliary/main windings turn ratio`— Specify the auxiliary-to-main windings turn ratio
`1.1`（默认）|正标量

Auxiliary-to-main windings turns ratio.

`样本时间（继承的-1）`- 阻止样品时间
`-1`（默认）|正标量

在连续块执行之间的时间，在s中。在执行过程中，该块会产生输出，并在适当的情况下更新其内部状态。有关更多信息，请参阅What Is Sample Time?和Specify 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.

Outer Loop

该表显示了如何在Outer Looptab depends on the option that you choose for the控制模式parameter in theGeneraltab.

控制模式	Available Parameters
Speed control	Speed controller proportional gain
	速度控制器积分增益
	速度控制器的积分反赢得收益
	最大扭矩（NM）
	Minimum torque (Nm)
	额定通量（WB）
扭矩control	额定通量（WB）

`Speed controller proportional gain`- 指定速度控制器比例增益
`1`（默认）|正标量

Proportional gain for the PI speed controller.

`速度控制器积分增益`— Specify the speed controller integral gain
`10`（默认）|正标量

Integral gain for the PI speed controller.

`速度控制器的积分反赢得收益`— Specify the speed controller integral anti-windup gain
`1000`（默认）|正标量

Integral anti-windup gain.

`最大扭矩（NM）`— Specify the maximum torque
`5`（默认）|正标量

Maximum torque used in speed controller saturation, in Nm.

`Minimum torque (Nm)`- 指定最小扭矩
`-5`（默认）|scalar

Minimum torque used in speed controller saturation, in Nm.

`额定通量（WB）`— Specify the rated flux
`0.5`（默认）|正标量

Rated flux, in Wb. The rated flux is used to compute the flux reference.

Inner Loop

`Flux hysteresis band (Wb)`— Specify the flux hysteresis band
`0.02`（默认）|正标量

Flux hysteresis band for the controller, in Wb.

`扭矩hysteresis band (Nm)`— Specify the torque hysteresis band
`0.1`（默认）|正标量

扭矩hysteresis band for the controller, in Nm.

参考

[1] Takahashi, I., and T. Noguchi. "A New Quick-Response and High-Efficiency Control Strategy of an Induction Motor."IEEE Transactions on Industry Applications。卷。IA -22，第5期，1986年，第820-827页。

Induction Machine Direct Torque Control (Single-Phase)

描述

Equations

限制

端口

输入

参考— Torque or angular velocity referencescalar

iab— Stator currentsscalar

vab- 定子电压scalar

wr- 转子角速度scalar

Output

G- 逆变器门脉冲0|1

Visualization— Internal signals for visualization参考|转子速度|TqRef|FluxRef|扭矩|Flux

Parameters

General

控制模式- 指定控制模式Speed control（默认）|扭矩control

Rated electrical frequency (Hz)— Specify rated electrical frequency60（默认）|正标量

杆对数- 指定杆对2（默认）|正标量

Main winding stator resistance, Ras (Ohm)- 指定主要绕组定子电阻1.8180（默认）|正标量

辅助缠绕定子电阻，RBS（ohm）— Specify auxiliary winding stator resistance6.4260（默认）|正标量

Auxiliary/main windings turn ratio— Specify the auxiliary-to-main windings turn ratio1.1（默认）|正标量

样本时间（继承的-1）- 阻止样品时间-1（默认）|正标量

Outer Loop

Speed controller proportional gain- 指定速度控制器比例增益1（默认）|正标量

速度控制器积分增益— Specify the speed controller integral gain10（默认）|正标量

速度控制器的积分反赢得收益— Specify the speed controller integral anti-windup gain1000（默认）|正标量

最大扭矩（NM）— Specify the maximum torque5（默认）|正标量

Minimum torque (Nm)- 指定最小扭矩-5（默认）|scalar

额定通量（WB）— Specify the rated flux0.5（默认）|正标量

Inner Loop

Flux hysteresis band (Wb)— Specify the flux hysteresis band0.02（默认）|正标量

扭矩hysteresis band (Nm)— Specify the torque hysteresis band0.1（默认）|正标量

参考

Extended Capabilities

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See Also

块

Topics

SIMSCAPE电气文档

金宝app

使用Simulink加快电源转换控制设计的10种方法金宝app

`参考`— Torque or angular velocity reference
scalar

`iab`— Stator currents
scalar

`vab`- 定子电压
scalar

`wr`- 转子角速度
scalar

`G`- 逆变器门脉冲
`0`|`1`

`Visualization`— Internal signals for visualization
`参考`|`转子速度`|`TqRef`|`FluxRef`|`扭矩`|`Flux`

`控制模式`- 指定控制模式
`Speed control`（默认）|`扭矩control`

`Rated electrical frequency (Hz)`— Specify rated electrical frequency
`60`（默认）|正标量

`杆对数`- 指定杆对
`2`（默认）|正标量

`Main winding stator resistance, Ras (Ohm)`- 指定主要绕组定子电阻
`1.8180`（默认）|正标量

`辅助缠绕定子电阻，RBS（ohm）`— Specify auxiliary winding stator resistance
`6.4260`（默认）|正标量

`Auxiliary/main windings turn ratio`— Specify the auxiliary-to-main windings turn ratio
`1.1`（默认）|正标量

`样本时间（继承的-1）`- 阻止样品时间
`-1`（默认）|正标量

`Speed controller proportional gain`- 指定速度控制器比例增益
`1`（默认）|正标量

`速度控制器积分增益`— Specify the speed controller integral gain
`10`（默认）|正标量

`速度控制器的积分反赢得收益`— Specify the speed controller integral anti-windup gain
`1000`（默认）|正标量

`最大扭矩（NM）`— Specify the maximum torque
`5`（默认）|正标量

`Minimum torque (Nm)`- 指定最小扭矩
`-5`（默认）|scalar

`额定通量（WB）`— Specify the rated flux
`0.5`（默认）|正标量

`Flux hysteresis band (Wb)`— Specify the flux hysteresis band
`0.02`（默认）|正标量

`扭矩hysteresis band (Nm)`— Specify the torque hysteresis band
`0.1`（默认）|正标量

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