PFC Rectifier Controller (Three-Phase)

PID-based power factor correction (PFC) rectifier controller

Since R2024a

• 

Libraries:
Simscape / Electrical / Control / Converter Control

Description

The PFC Rectifier Controller (Three-Phase) block implements a proportional-integral-derivative (PID)-based power factor correction (PFC) rectifier controller. This block converts a three-phase AC supply into the required stable DC-link voltage and controls the reactive power drawn from the supply. To reduce harmonics, the block draws sinusoidal current. The block has an inbuilt phase-locked-loop (PLL) that tracks the angle and magnitude of the supply voltage.

For discrete-time simulation, set Sample time (-1 for inherited) to a positive value or to -1 to inherit the sample time. For continuous-time simulation, set Sample time (-1 for inherited) to 0.

This figure shows the circuit configuration of the PFC rectifier.

• V_S is the supply voltage.

• I_S is the supply-side current.

• X_L is the inductive reactance.

• V_i is the inverter-side AC phase voltage.

• V_dc is the DC-link voltage.

This equation defines the supply voltage V_S,

$$V_S(t)=I_S{R}_L+L\frac{d{i}_S(t)}{dt}+V_i(t),$$

where:

• R_L is the resistance of the filter inductor.

• L is the filter inductance.

• i_s is the inverter-side AC phase current.

Controller Structure

This diagram shows the structure of the controller.

The inputs to the block are:

• The output DC-link voltage reference VdcRef, measured in volts.

• The per-unit reactive power reference QRef.

• The measured DC-link voltage VdcSens, in volts.

• The per-unit measured AC phase voltage VabcSens.

• The per-unit measured AC phase current IabcSens.

The outputs are the per-unit reference voltage VabcRef and a bus containing signals for visualization.

The DC voltage controller calculates:

• The per-unit d-axis reference current IdRef.

• The per-unit error of the DC voltage controller VdcCntrlError.

The PLL calculates:

• The phase angle pllAngle, in radians, of the measured AC phase voltage.

• The per-unit magnitude pllVmag of the measured AC phase voltage.

• The per-unit d-axis component of the measured AC phase voltage Vd.

• The per-unit q-axis component of the measured AC phase voltage Vq.

The reactive power reference calculates the per-unit q-axis reference current IqRef.

The current controller calculates:

• The per-unit reference voltage VabcRef.

• The per-unit error of the d-axis current controller IdCntrlError.

• The per-unit error of the q-axis current controller IqCntrlError.

Visualization

The block outputs a bus containing these seven signals for visualization:

• The phase angle pllAngle, in radians, of the measured AC phase voltage.

• The per-unit voltage magnitude pllVmag of the measured AC phase voltage.

• The per-unit d-axis reference current IdRef.

• The per-unit q-axis reference current IqRef.

• The per-unit error of the DC voltage controller VdcCntrlError.

• The per-unit error of the d-axis current controller IdCntrlError.

• The per-unit error of the q-axis current controller IqCntrlError.

Examples

Power Factor Correction Rectifier Design

Convert a three-phase AC supply voltage into a stable DC bus voltage and control the reactive power drawn from the grid. To reduce the harmonics in the system, you use a PFC Rectifier Controller (Three-Phase) block to draw a sinusoidal current.

• Since R2024b
• Open Live Script

Ports

Input

VdcRef (V) — Output DC-link voltage reference, V

scalar

Output DC-link voltage reference, in volts.

Data Types: single | double

QRef (pu) — Reactive power reference, pu

scalar

Per-unit reactive power reference.

Data Types: single | double

VdcSens (V) — DC-link voltage, V

scalar

Measured DC-link voltage, in volts.

Data Types: single | double

VabcSens (pu) — Measured AC phase voltage, pu

vector

Per-unit measured AC phase voltage.

Data Types: single | double

IabcSens (pu) — Measured AC phase current, pu

vector

Per-unit measured AC phase current.

Data Types: single | double

Output

VabcRef (pu) — Reference voltage, pu

vector

Per-unit reference voltage.

Data Types: single | double

Visualization — Visualization bus

bus

Bus containing internal signals for visualization. For a list of signals, see Visualization.

Data Types: single | double

Parameters

To edit block parameters interactively, use the Property Inspector. From the Simulink^® Toolstrip, on the Simulation tab, in the Prepare gallery, select Property Inspector.

General

System frequency (Hz) — System frequency

60 (default) | positive scalar

System frequency, in hertz.

AC filter inductance (H) — AC filter inductance

1e-4 (default) | positive scalar

AC filter inductance, in henry.

AC side base impedance (Ohm) — AC-side base impedance

1.722 (default) | positive scalar

AC-side base impedance, in ohms.

PLL proportional gain — Proportional gain

0.05 (default) | positive scalar

Proportional gain of the phase-locked loop.

PLL integral gain — Integral gain

1 (default) | positive scalar

Integral gain of the phase-locked loop.

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

-1 (default) | nonnegative scalar or -1

Time, in seconds, between consecutive block executions. During execution, the block produces outputs and, if appropriate, updates its internal state. For more information, see What Is Sample Time? and Specify Sample Time.

For discrete-time simulation:

• To specify the sample time explicitly, set this parameter to a positive value. This value defines the sample time in seconds.

• To inherit the sample time, set this parameter to -1.

For continuous-time simulation, set this parameter to 0.

For more information about continuous and discrete sample times, see Types of Sample Time.

Voltage Controller

Proportional gain — Proportional gain

0.4 (default) | positive scalar

Proportional gain of the voltage controller.

Integral gain — Integral gain

3 (default) | positive scalar

Integral gain of the voltage controller.

Derivative gain — Derivative gain

0 (default) | nonnegative scalar

Derivative gain of the voltage controller.

Derivative controller filter coefficient (N) — Derivative controller filter coefficient

3 (default) | nonnegative scalar

Derivative voltage controller filter coefficient.

DC bus base voltage (V) — DC bus base voltage

700 (default) | positive scalar

DC bus base voltage, in volts.

Controller output upper limit (pu) — Controller output upper limit

1.5 (default) | nonnegative scalar

Upper limit on the per-unit output of the voltage controller.

Controller output lower limit (pu) — Controller output lower limit

-1.5 (default) | nonpositive scalar

Lower limit on the per-unit output of the voltage controller.

Current Controller

Id proportional gain — Id proportional gain

10 (default) | positive scalar

Proportional gain of the d-axis current controller.

Id integral gain — Id integral gain

350 (default) | positive scalar

Integral gain of the d-axis current controller.

Id derivative gain — Id derivative gain

0 (default) | nonnegative scalar

Derivative gain of the d-axis current controller.

Id controller output upper limit (pu) — Id controller output upper limit

1.2 (default) | nonnegative scalar

Upper limit on the per-unit output of the d-axis current controller.

Id controller output lower limit (pu) — Id controller output lower limit

-1.2 (default) | nonpositive scalar

Lower limit of the per-unit output of the d-axis current controller.

Iq proportional gain — Iq proportional gain

10 (default) | positive scalar

Proportional gain of the q-axis current controller.

Iq integral gain — Iq integral gain

350 (default) | positive scalar

Integral gain of the q-axis current controller.

Iq derivative gain — Iq derivative gain

0 (default) | nonnegative scalar

Derivative gain of the q-axis current controller.

Derivative current controller filter coefficient (N) — Derivative current controller filter coefficient

100 (default) | nonnegative scalar

Derivative current controller filter coefficient.

Iq controller output upper limit (pu) — Iq controller output upper limit

1.2 (default) | nonnegative scalar

Upper limit on the per-unit output of the q-axis current controller.

Iq controller output lower limit (pu) — Iq controller output lower limit

-1.2 (default) | nonpositive scalar

Lower limit on the per-unit output of the q-axis current controller.

References

[1] Siva Prasad, J. S., et al. “Vector Control of Three-Phase AC/DC Front-End Converter.” Sadhana, vol. 33, no. 5, Oct. 2008, pp. 591–613. Springer Link, https://doi.org/10.1007/s12046-008-0045-y.

Extended Capabilities

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

Version History

Introduced in R2024a