Ipsa 2 Harmonic Analysis


  • Harmonic distortion calculations
  • Harmonic impedance calculations
  • Wide range of CIGRE harmonic models


  • Harmonic compliance studies
  • Harmonic filter sizing and rating studies
  • Accurate results validated by on-site measurements

The integrated harmonic analysis module provides harmonic penetration calculations, impedance scans and waveform plots for busbars and branches.

The module allows the modelling of harmonic sources such as AC-DC power converters and background distortion as well as harmonic filters.  A range of CIGRE harmonic models are provided for standard components such as cables, overhead lines and transformers.

Used primarily for harmonic compliance studies this analysis module also provides all the functionality required for filter design and rating.

Harmonic studies can also be automated using the scripted interface.

Harmonic Calculations

Impedance Scan

Calculates the harmonic impedances and resonances in the network, up to the specified harmonic order, and plots the impedance at a specified busbar.

Resonant points are automatically identified.

Harmonic Penetration

Calculates the total harmonic distortion and individual harmonic voltages and currents across the network.

Waveform Plots

Plots of voltage waveforms can be obtained across the network

Calculation Options

Choice of sequence networks (positive or zero sequence) to use for analysis. Harmonic analysis range of up to the 100th harmonic order. Detailed scans are performed at the harmonic resonance frequencies.

Results Display Options

Harmonic Voltage Display

  • THD on diagram
  • Maximum individual on diagram
  • Specified harmonic on diagram
  • Waveform for selected busbar
  • Spectrum for selected busbar

Harmonic Impedance Display

  • Busbar magnitude/phase linear and logarithmic plots

Results Table Display

  • Busbar harmonic voltages
  • Harmonic currents through branches, loads, and shunts
  • Group based results summaries
  • Save data in CSV format
  • Easy copy and paste to Excel




Harmonic Component Models

The harmonic models are available for all key power system components. Different harmonic representations are provided for each model as follows.

Loads – based on the specified MW and MVAr with a number of different series and parallel models including the CIGRE type 1 and 2 models.

Cables and Lines – Options to represent cable and line impedances as with a polynomial function, with skin-effect only, constant R/X or distributed parameter models. Based on nominal frequency positive and zero sequence impedances.

Transformers – Options to represent transformer impedances as with a polynomial function, with skin-effect, or as a constant R/X

Shunts – Options to represent shunt impedances as a polynomial function or with default resistance.

Harmonic Filters – Includes widely used harmonic filter types including the calculation of parameters from filter dimensioning metrics.

  • Single Tuned
  • Single Tuned Hi-pass
  • Double Tuned
  • C-Type

Harmonic Sources

  • Harmonic current source defined by order, magnitude and angle
  • N-pulse LCC converter model
  • Harmonic voltage source defined by order, magnitude and angle
  • Injections calculated automatically from the MW and MVAr for N pulse converters