Documentation

PMSM Feed Forward Control

Decouple d-axis and q-axis current to eliminate disturbance

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Library:
Motor Control Blockset / Controls / Control Reference

Description

The PMSM Feed Forward Control block decouples d-axis and q-axis current controls and generates the corresponding feed-forward voltage gains to enable field-oriented control of Permanent Magnet Synchronous Motor (PMSM).

The block accepts feedback values of d-axis and q-axis currents and the mechanical speed of the rotor.

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 values back to per unit values.

These equations describe the computation of feed-forward gain by the block.

$V_{d}^{F F} = ω_{e} λ_{d} = ω_{e} L_{d} I_{d} + ω_{e} λ_{m}$

$V_{q}^{F F} = - ω_{e} λ_{q} = - ω_{e} L_{q} I_{q}$

where:

$ω_{e}$ is the electrical speed corresponding to frequency of stator voltages (Radians/ sec).
$L_{d}$ 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 currents (Amperes).
$λ_{d}$ and $λ_{q}$ are the magnetic fluxes along the d- and q-axes (Weber).
$λ_{m}$ is the permanent magnet flux linkage (Weber).

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

`V_d^FF` — D-axis feed-forward voltage gain
scalar

Feed-forward voltage gain along the d-axis of the rotating dq reference frame.

Data Types: single | double | fixed point

`V_q^FF` — Q-axis feed-forward voltage gain
scalar

Feed-forward voltage gain along the q-axis of the rotating dq reference frame.

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 (in 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 (in Henry) along the quadrature-axis of the rotating dq reference frame.

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

Peak permanent magnet flux linkage (in Weber).

`Output Saturation (V)` — Saturation limit for output values
`24/sqrt(3)` (default) | scalar

Saturation limit (in Volts) for the output voltages V_d^FF and V_q^FF.

`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
`24/sqrt(3)` (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

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