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Power Systems Studies

Harmonic and Resonance Analysis

Evaluation of harmonic distortion and resonance effects to ensure power quality compliance and protect equipment

CALCULATION

Overview

Challenge

Harmonic and resonance analysis is used to verify power system design and existing installations against power quality standards.

It is required for:

  • grid connection compliance
  • verification against regulatory requirements
  • evaluation of equipment operating conditions
  • prevention of overloads and premature failures

What it means

In real power systems, voltage and current waveforms are not perfectly sinusoidal.

Power electronic devices (VFDs, UPS systems, thyristor-controlled equipment) introduce higher-order harmonics.

In simple terms:

  • waveform distortion occurs
  • additional frequencies appear
  • equipment operates under increased stress

These effects are quantified using Total Harmonic Distortion (THD).


What is analyzed

A digital model of the power system is developed to:

  • calculate THD levels
  • evaluate individual harmonic components
  • assess equipment impact
  • analyze resonance conditions
Power system model
Power system model

Results

Results are provided in tabular and graphical formats.

Values exceeding acceptable limits are clearly highlighted.

Voltage THD
Voltage THD
Current THD
Current THD
Individual harmonics
Individual harmonics

Resonance Analysis

To evaluate resonance risks:

  • frequency response characteristics are calculated
  • phase response characteristics are analyzed
  • harmonic spectra are superimposed on response curves

This allows to:

  • identify resonance frequencies
  • assess system sensitivity
  • determine critical operating conditions
Frequency response
Frequency response
Phase response
Phase response

When the Study is Required

  • installation of VFDs or power electronics
  • connection of nonlinear loads
  • system upgrades
  • power quality issues
  • unexplained protection trips

Deliverables

  • input data description
  • calculation results (tables and charts)
  • compliance assessment
  • conclusions and recommendations

Customer Value

  • compliance with power quality standards
  • reduced risk of equipment damage
  • prevention of resonance conditions
  • improved system reliability
  • optimized filter design

Why it matters

Harmonic distortion often develops gradually but leads to:

  • overheating of cables and transformers
  • accelerated equipment aging
  • false protection trips
  • reduced equipment lifetime

Early analysis allows these issues to be identified and mitigated.


Harmonic analysis
Harmonic and resonance analysis

Input data

  • Single-line diagram
  • Generator and utility system parameters (short circuit levels, X/R ratio, etc.)
  • Transformer, cable, and overhead line parameters
  • Reactive power compensation equipment
  • Harmonic filter parameters
  • Load data and power factors
  • Motor nameplate data
  • Harmonic source parameters (VFDs, UPS, thyristor systems, furnaces, etc.)
  • Measured or manufacturer-provided harmonic spectra

Results

  • Compliance assessment with GOST, IEC, and IEEE 519 standards
  • Evaluation of equipment overloading due to harmonics
  • Harmonic spectra across the network
  • Frequency response analysis for resonance detection
  • Recommendations for harmonic filtering solutions

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