PMSM Field-Weakening Controller

Permanent magnet synchronous machine field-weakening controller

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Libraries:
Simscape / Electrical / Control / PMSM Control

Description

The PMSM Field-Weakening Controller block implements a field-weakening controller for a permanent magnet synchronous machine (PMSM).

Use this block to enforce phase voltage constraints on a current-controlled PMSM. The block decreases the PMSM phase voltage by adjusting the angle of the reference current vector when the voltage vector magnitude exceeds its limit. The block does not adjust the amplitude of the current vector.

You can use this block as part of a PMSM control system:

• Use the zero d-axis control technique to generate an unconstrained current reference vector to drive the PMSM. You can implement this strategy with the PMSM Current Reference Generator block.

• Use this block to adjust the angle of the current reference vector in order to satisfy voltage phase constraints.

• Use a PMSM Current Controller to generate a voltage reference vector to drive the PMSM.

Equations

An internal integral controller outputs a factor β∈[0,1], which is determined by how closely the required stator voltage approaches the saturated voltage value at any instant in time:

• When the required stator voltage exceeds the limit, β tends to 0, decreasing the q-axis current.

• When the required stator voltage is within its limit, β tends to 1 and the angle remains unchanged.

This diagram shows the structure of the field-weakening controller.

In the diagram, you provide the modulation index threshold M_th as an input parameter to the block, and the block computes the modulation index M as the ratio between the actual phase voltage and the maximum available phase voltage V_{ph_max}:

$M=\frac{\sqrt{v_d^2+v_q^2}}{V_{ph\_max}},$

where v_d and v_q are the d-axis and q-axis components of the voltage vector.

Ports

Input

idqRef — Reference currents

vector

Desired d- and q-axis currents for control of permanent magnet synchronous motor, in A.

Data Types: single | double

vdq — Voltages

vector

Direct and quadrature axis voltages of permanent magnet synchronous motor, in V.

Data Types: single | double

VphMax — Maximum phase voltage

scalar

Maximum allowable voltage in each phase, in V.

Data Types: single | double

Output

idqRefFW — Field-weakening reference currents

vector

Field-weakening reference direct and quadrature axis currents, in A.

Data Types: single | double

Parameters

Modulation index threshold — Modulation index threshold

1 (default) | positive number

Reference modulation index.

Field-weakening controller integral gain — Integral gain

100 (default) | positive number

Integrator gain of the field-weakening controller.

Integral anti-windup gain — Anti-windup gain

10 (default) | positive number

Anti-windup gain of the field-weakening controller.

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

-1 (default) | -1 or positive number

Sample time for the block (-1 for inherited). If you use this block inside a triggered subsystem, set the sample time to -1. If you use this block in a continuous variable-step model, set the sample time explicitly.

References

[1] Wai, J., and T. M. Jahns. "A new control technique for achieving wide constant power speed operation with an interior PM alternator machine." In Industry Applications Conference. Vol. 2, 2001, pp. 807-814.

Extended Capabilities

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

Version History

Introduced in R2017b