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Dran-View 6 User Guide

19.1.2. A word about conventions

To minimize confusion, Dran-View expresses all phase information as an unsigned

positive angle, in degrees modulo 360. The author has found it wise to follow this

convention religiously. Failure to do so will usually result in incorrect (or

confusing) results. In all the equations in this document, all symbolic variables used

on the right side of the equation are inherently, or have been resolved to, positive

unsigned numbers. The only exception would be the variable t (time). Negative t

might buy you the dubious joy of traversing “backwards” (right to left) through a

signal. Except for Harmonic Watts, the outputs of the equations can be resolved to

positive unsigned values. It has been the author’s experience that once the basic

math is understood, the greatest obstruction to getting correct and consistent

answers is the failure to consistently handle phase angles and phase angle

differences.

19.1.3. Harmonic Series Expansion Equations

Note:

The following equations are for harmonic volts and amps, not Harmonic Watts.

Equations for UN-Normalized Transforms

These series expansions are used for un-normalized harmonic transforms. Un-

normalized phase information is generated from Dran-View when you have

“Normalization-None” selected in the Harmonics Page of the chart and phasor

properties dialogs or the harmonic scaling dialog. The equations may be used to

approximately reconstruct a highlighted waveform from the un-normalized

transform data.

f(t) = for un-normalized cosine transforms

f(t) = for un-normalized sine transforms

Where:

f(t) is the periodic time domain signal. Usually volts or amps.

n is the harmonic number.

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