Documentation

PMSM Torque Estimator

Estimate electromechanical torque and power

expand all in page

Library:
Motor Control Blockset / Controls / Control Reference

Description

The PMSM Torque Estimator block generates electromechanical torque and power estimates to enable field-oriented control of Permanent Magnet Synchronous Motor (PMSM).

The block accepts feedback values of d- and q-axis current and mechanical speed as inputs.

Equations

If you select Per-Unit (PU) in the Input units parameter, the block converts the inputs to SI units before performing any computation. After calculating the output, the block converts the output back to per unit values.

These equations describe the computation of electromechanical torque and power estimates by the block.

$T_{e} = \frac{3}{2} p {λ_{m} I_{q} + (L_{d} - L_{q}) I_{d} I_{q}}$

$P_{e} = T_{e} \times ω_{m}$

where:

$L_{d}$ and $L_{q}$ are the d-axis and q-axis stator winding inductances (Henry).
$I_{d}$ and $I_{q}$ are the d-axis and q-axis current (Amperes).
$λ_{m}$ is the permanent magnet flux linkage (Weber).
$p$ is the number of pole pairs available in the motor.
$ω_{m}$ is the mechanical speed of the rotor (Radians/ sec).

Ports

Input

`I_d` — D-axis current
scalar

Current along the d-axis of the rotating dq reference frame.

Data Types: single | double | fixed point

`I_q` — Q-axis current
scalar

Current along the q-axis of the rotating dq reference frame.

Data Types: single | double | fixed point

`ω_m` — Mechanical speed of rotor
scalar

Mechanical speed of the rotor.

Data Types: single | double | fixed point

Output

`T_e` — Electromechanical torque
scalar

Electromechanical torque of the rotor.

Data Types: single | double | fixed point

`P_e` — Electromechanical power
scalar

Electromechanical power of the rotor.

Data Types: single | double | fixed point

Parameters

`Number of pole pairs` — Number of pole pairs available in motor
`4` (default) | scalar

Number of pole pairs available in the motor.

`Stator d-axis inductance (H)` — D-axis stator winding inductance
`1e-3` (default) | scalar

Stator winding inductance (henry) along the direct-axis of the rotating dq reference frame.

`Stator q-axis inductance (H)` — Q-axis stator winding inductance
`1e-3` (default) | scalar

Stator winding inductance (henry) along the quadrature-axis of the rotating dq reference frame.

`Permanent magnet flux linkage (Wb)` — Permanent magnet flux linkage
`5e-3` (default) | scalar

Peak permanent magnet flux linkage (weber).

`Input units` — Unit of input values
`Per-Unit (PU)` (default) | `SI Units`

Unit of the input values.

`Base Voltage (V)` — Nominal voltage limit
`24/sqrt(3)` (default) | scalar

Base voltage (in Volts) for per-unit system.

Dependencies

To enable this parameter, set Input units to Per-Unit (PU).

`Base Current (A)` — Nominal current limit
`10` (default) | scalar

Base current (in Amperes) for per-unit system.

Dependencies

To enable this parameter, set Input units to Per-Unit (PU).

`Base Speed (rpm)` — Nominal speed limit
`4000` (default) | scalar

Base speed (in rpm) for per-unit system.

Dependencies

To enable this parameter, set Input units to Per-Unit (PU).

Extended Capabilities

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

Fixed-Point Conversion
Design and simulate fixed-point systems using Fixed-Point Designer™.

Introduced in R2020a

Motor Control Blockset Documentation

Support