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For the purpose of this discussion I think we are getting too far into the theory behind the component.
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This is pretty basic AC circuit theory, and it has a profound effect (40 watts versus 200 watts) on the answer you get, so it's worth understanding.
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I am quite sure that the Jaguar compensates for the exponential effects of Inductance/switching frequency/rise time and changes its pulse frequency so that the output power varies linearly with the input instructions.
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Sorry, it doesn't work this way. First, the output frequency does not change at all. It is a constant 15000 Hz. Only the duty cycle changes. The duty cycle varies linearly with input command (unless, of course, you are running closed loop, but that's another story entirely).
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In this case, an instruction of 20% output would result in an intuitive 20% power (W) output and thus ~200W.
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It doesn't work that way. A 20% command gives a 20% duty cycle.
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If the jaguar input controlled the switching frequency- linearly, then I think Ether is right.
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The Jag does not control switching frequency. The frequency is held constant at 15000 Hz, which gives a pulse width of 66.7 microseconds. What the Jag changes is the "on" portion of that 66.7 usec.
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After one of our team members hooked up a jaguar backwards today, I opened it up to take a peek inside. The output has a capacitor on it- I believe this would effectively "smooth" the output power and generate a physically lower voltage/amperage. With the capacitance/inductance/resistance and switching frequency you effectively have an RLC circuit. Relative to the switching frequency, output would indeed change exponentially just like Ether's calculation.
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Not sure what you mean by "exponentially" here. The effective voltage changes linearly with input command, and the effective current also changes linearly. The effective power thus changes as a square function.
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I believe we are just thinking of two different parameters of which we are commanding 20% thereof- My thinking is that the input commands control the power output
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They do, but not linearly.
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wheras Ether's thinking is that the input commands control the switching frequency.
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No, it controls the duty cycle, and thus the effective voltage and current.
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I'm going to stick with the former so tell Regis my final answer is ~200W!
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Are you a betting man?
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If you know what the frequency is
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It's 15000 Hz.
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Can we not deduce the inductance?
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If you knew how many windings, and the core material magnetic properties, you could make a rough calculation.