PFB – Passive filters box

The PFB block is a simulation model included in the Imperix Power library. It models one symmetrical half of the imperix passive filters box in Simulink and PLECS simulation.

For more information regarding the Imperix Power library, please read Getting started with Imperix Power library.

Modeling of PFB

The PFB model has two modeling levels:

  • (A) Simple
  • (B) Detailed

As introduced in the datasheet, the passive filter box consists of 3-phase power inductors, feedback capacitors, and an EMC filter. The power circuits can be wired differently for flexible use in power applications. According to all the possible wiring situations, the PFB model offers 3 wiring configurations:

  • Inductors: only the power inductors are used.
  • Inductors, Cf/Rf, EMC filter: refer to the “transformer-less connection to the grid” example in the datasheet. This option is named “config 1” in the later analysis.
  • Inductors, EMC filter, Cf/Rf: refer to the “connection to the grid with an isolation transformer” example in the datasheet. This option is named “config 2” in the later analysis.

For more detailed model parameters and measurement results, please contact [email protected].

Power inductors

The power inductors are modeled by the inductance \(L_m\) and equivalent series resistance (ESR)\(R_m\), which is the same for all the modeling levels. The impedance of the main inductors versus measured results is shown below.

power inductor impedance
Lm [mH]2.2
Rm [mΩ]29
Model parameters of PFB power inductors

EMC filter

The figure below shows the schematic of the EMC filter. It has one common mode inductor and 2 three-phase capacitors on both sides of the inductor.

EMC Filter schematic

Since the common-mode characteristics mostly lie in the high-frequency range of up to hundreds of kilohertz to megahertz, only the differential mode is considered in the PFB model. The common mode path to GND is removed from the model. Furthermore, the leakage inductance of the common mode inductor can be neglected, and the capacitors can be lumped into one 3-phase capacitor. The schematic of the EMC filter model is shown below.

PFB Filter model - Simple
(A) Simple
PFB Filter model - Detailed
(B) Detailed

In the differential mode, the combination of the EMC filter and the power inductors forms an LC circuit between phases. The model’s accuracy can be validated by comparing the transfer function of the LC circuit with the measurement results. The comparison and parameters are displayed below.

PFB DM gain - config 1
PFB DM gain - config 2
Req [Ω]0.6
Ceq [μF]16.6
Rf [Ω]1
Cf [μF]10
Cemc [μF]3.3
Model parameters of PFB EMC filter

Simulink PFB block

Port specification

  • The connection ports A,B,C are the electrical ports connected to the physical ports A,B,C on the box.
  • The connection ports X,Y,Z are the electrical ports connected to the physical ports X,Y,Z on the box.
  • The connection ports R,S,T are the electrical ports connected to the physical ports R,S,T on the box.
  • The connection ports U,V,W are the electrical ports connected to the physical ports U,V,W on the box.
PFB Simulink block

Parameters

  • Use global configurations is ticked when the block receives global configurations from the Config block.
  • Modeling level selects the modeling level.
  • Wiring configuration selects the wiring configuration.
PFB Simulink mask

PLECS PFB block

Port specification

  • The connection ports A,B,C are the electrical ports connected to the physical ports A,B,C on the box.
  • The connection ports X,Y,Z are the electrical ports connected to the physical ports X,Y,Z on the box.
  • The connection ports R,S,T are the electrical ports connected to the physical ports R,S,T on the box.
  • The connection ports U,V,W are the electrical ports connected to the physical ports U,V,W on the box.
PFB PLECS block

Parameters

  • Modeling level selects the modeling level.
  • Wiring configuration selects the wiring configuration.
PFB PLECS mask

Probe signals

This block has no signals to be monitored.