Improved Fourier & Power Engineering Toolkit v2

Fourier Analysis Toolkit v2 – douglas.millner@nerxpower.com – Company: www.nerxpower.com – Blog: LinkedIn Profile

Features

Adjustable harmonic count (up to 100) with individual magnitude and phase sliders.
Real-time Phasor Plot (standard convention: Real=horizontal, Imag=vertical).
Oscilloscope view showing individual harmonic components and the resulting summed waveform.
Comparison plot: Summed wave vs. ideal wave (for presets).
Interactive drawing canvas to create custom waveforms and analyze them.
Presets for Sine, Square, and Sawtooth waves.
Simulation of Current Transformer (CT) AC + DC Saturation effects.
Total Harmonic Distortion (THD) calculation display.

Harmonics (1-100): 12 Speed:

THD: 0.00%

Harmonic Controls

Harm.

Magnitude

Angle (°)

Phasor Plot (CCW)

Standard Convention: Real = cos(θ) [Horizontal], Imag = sin(θ) [Vertical]. Origin at center.

Components Plot

Summed Wave vs Ideal

Draw Custom Waveform

Waveform Presets & Simulation

CT Saturation Simulation

AC Saturation (0°-180°): 30° DC Saturation (-2 to 2): 0.0

Fourier Analysis & THD Explained

Fourier analysis decomposes any periodic waveform into a sum of simple sine waves: a fundamental frequency and its harmonics (integer multiples). Each component has an amplitude and phase. This toolkit lets you adjust these components to build waveforms or analyze drawn ones.

Total Harmonic Distortion (THD) measures the distortion caused by these harmonics relative to the fundamental frequency. It's calculated as the square root of the sum of the squares of all harmonic amplitudes, divided by the amplitude of the fundamental. A pure sine wave has 0% THD. Higher THD indicates a more distorted waveform.
THD = (sqrt(H2² + H3² + H4² + ...)) / H1 * 100%