Don Lancaster's Magic Sinewave Calculator #4MQ

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This blindingly fast mobile friendly interactive demo lets you find values and explore quantization tolerances on 23 or fewer pulse per quadrant Magic Sinewaves of types that include Best Efficiency, Bridged Best Efficiency, and Delta Friendly versions.

At present, Magic Sinewaves have been fully verified by an independent and highly qualified third party mathematician.

  Click here for the Magic Sinewave Library.
  Click here for a MS Executive summary.
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  Click here for a MS Three phase slide show
  Click here to email the developer.
  Click here for major design assistance.

To find a Magic Sinewave:

First, use the scrolling menu box below to select the type and pulses per quadrant of the Magic Sinewave desired. Your present choices are Best Efficiency, Bridged Best Efficiency, and Three Phase Friendly.

By AMPLITUDE: Enter the desired amplitude from 0.00 to 1.00 into the Target Amplitude box. Then click on Set Amplitude. A good guess for a magic sinewave solution should appear. Next click on Improve to start the actual magic sinewave optimization. Several clicks are usually required for best accuracy.

Alternately, set your amplitude and then click on Instacalc Which should automatically and nearly instantly does six converging improves for you.

By POWER: Enter the desired amplitude from 0.00 to 1.00 into the Target Power box. Then click on Set Amplitude. A good guess for a magic sinewave solution should appear. Next click on Improve to start the actual magic sinewave optimization. Several clicks may be required for extreme accuracy.

Alternately, set your power and then click on Instacalc Which automatically and nearly instantly does six interactive improves for you.

Amplitudes near 1.0 for very large n may not converge. Instead, "sneak up" on the problem by using Improve from a nearby lower working value rather than reinitializing and re-guessing with Set Amplitude.

To analyze a Magic Sinewave:

By ANGLES: Enter or alter the desired start and ending angles for each pulse in their respective boxes. Then click on Set Angles. An analysis of the fundamental amplitude and power will appear, along with the harmonic strength of the first 177 harmonics. Angles are limited to the first quadrant and must not overlap. The start angle must always be less than the stop angle as well.

To explore data quantization:

Optimize your magic sinewave. Then click on ONE quantization button to view the attainable distortion. Always re-optimize before changing your quant selection.

Numeric Quantization values are only a guideline approximation.

To quantize to a specific number of clocks per quadrant, enter that value below and click on the Clock Quant button. These values are newly exportable but are valid only after applying a chosen new counts per quadrant.

Always re-optimize before changing or reporting your cpq quant selection.

To export pulse or clock values

Cut and paste from their respective Export areas. The present format is text in the PostScript language. This can easily be customized by modifying the underlying JavaScript code.

Scroll and Click Select
Your Sinewave Here:

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