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Loudspeakers are ordinarily driven by amplifiers with very low
output impedances which provide essentially constant-voltage operation
regardless of loudspeaker impedance. Speakers are also traditionally designed
to have roughly flat acoustic frequency response when presented with a constant-voltage
electrical input over the desired operating range.
The nominal electrical input power to a loudspeaker driver is
defined as the power delivered by the amplifier into a resistor having the same
value as the driver’s voice coil resistance This is usually calculated by
simply squaring the input voltage and dividing by the driver’s voice coil
resistance or rated impedance. This definition of input power yields a nominal efficiency
vs. frequency response curve that is similar to the SPL response curve you get
when driving the system with a constant voltage source.
However, the impedance of a loudspeaker coil is not
constant, so if you plot a graph of the input voltage squared divided by the
actual impedance, with relation to frequency, you end up with the curve shown
in winisd. This curve is essentially the inverse of the impedance curve,
modified by any filters that you have added. It is also an inverse of the real
efficiency of the drive unit. At 30Hz (on your graph) it takes 3 times more
power than it does a 45Hz - assuming that spl response is flat. That is, your speaker
system is 3 times as efficient at 45Hz as it is at 30Hz
If you select the signal tab, where you entered the power
input, it also shows the drive voltage that is used to calculate the power, and
a series resistance that considers the cable resistance.
Returning to the amplifier power; as the graph shows, with
an input voltage that would dissipate 300W into an 8ohm load, your drive unit is
only dissipating 125W. You could therefore drive the loudspeaker with a more
powerful amplifier and not run into thermal overload. Check the maximum power
and cone excursion plots to ensure that you don’t exceed the maximum excursion
limits of the cone in your desired frequency range.
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