Does your load uniformly take more current as the voltage is increased, meaning current is a function of voltage?
If so, you can ultimately accomplish what you want: One dial, a range of power settings. Maybe two dials for coarse and fine adjustment. The machine will adjust voltage, measure current, and converge on the solution where the power is what you called for.
Otherwise you cannot really get there. There are too many degrees of freedom - combinations of voltage and current that can produce the desired power level. Finding one solution wouldn't preclude there being other solutions if voltage and current are independent variables.
But I still think you're making this harder than it needs to be. A very inexpensive DC power supply gives you control over both voltage and current. It's fast and easy to start at a low voltage, write down the current draw, turn the voltage know up 1V and repeat. Put the data in a spreadsheet and you have a nice model of power consumed by your device at all the voltages you want to try. Then you can dial in whatever power level you want by choosing the voltage that causes that power draw.
If so, you can ultimately accomplish what you want: One dial, a range of power settings. Maybe two dials for coarse and fine adjustment. The machine will adjust voltage, measure current, and converge on the solution where the power is what you called for.
Otherwise you cannot really get there. There are too many degrees of freedom - combinations of voltage and current that can produce the desired power level. Finding one solution wouldn't preclude there being other solutions if voltage and current are independent variables.
But I still think you're making this harder than it needs to be. A very inexpensive DC power supply gives you control over both voltage and current. It's fast and easy to start at a low voltage, write down the current draw, turn the voltage know up 1V and repeat. Put the data in a spreadsheet and you have a nice model of power consumed by your device at all the voltages you want to try. Then you can dial in whatever power level you want by choosing the voltage that causes that power draw.
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