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Dran-View 6 User Guide
19.1.5. Equations to recompute waveforms from Normalized Transforms
f( t ) = normalized cosine transform
f( t ) = normalize sine transform
The above equations will generate the original signal just like the equations shown
for un-normalized transforms. Note that if you drop the nφ term from either
equation, what remains would be the equation required to redraw the original signal
phase shifted φ modulo 360 degrees (of the fundamental).
19.1.6. Power Dissipation Watts
Before discussing harmonic watts, terms are defined as follows:
The average steady state power dissipation, P
Average
, for an integral number of
cycles of a sinusoidal current driven by a sinusoidal voltage is:
P
Average
= V
RMS
* I
RMS
* cos θ
Where
V
RMS
= RMS Voltage applied to the current.
I
RMS
= RMS current in amps.
θ = The phase difference between the volts and the current using volts as the
reference (i.e. if volts are referenced at 0 degrees (its display looks like a sine wave)
and the associated current is at 90 degrees (it looks like a cosine wave) then θ = 0° -
90° = -90°+360° = 270°). Using this convention (keeping volts at 0 degrees), we
find that when θ is in the first and fourth quadrant (when θ is 0° to ± 90° degrees
but not equal ± 90° ) P
Average
is positive (power goes to the load). The second and
third quadrants (90°< θ <270°) generate negative power (i.e. your “load” is actually
a generator; this usually means your probe is on backwards). When θ is exactly 90°
or 270° no active power is generated (P
Average
= 0). In this special case the power is
pure reactive. If θ is 90° then it is pure inductive. At 270° it is pure capacitive.
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