I've been doing experiments about this setup. It seems like an efficient energy transfer process. What I see so far is depends on how you charge your inductor, you can get more or less heat for the same input and output.
Let's say you have an inductor L and wants to charge to current i . The amount of energy is 1/2 L i^2 . The question is how much energy do you put in to charge the inductor and does the amount of heat generated while charging related to input? If it does not, then the so call copper loss on power line needs investigation.
Below is the analysis I made. Inductor L is being charged to current i and 1/2i in separate cases. The charging time is taken near zero to get linear simplicity. The question we want to ask is input/output and heat loss.
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Energy when charge to i is 1/2Li^2 and energy charge to 1/2i is 1/2L1/4i^2, which is about 1/4 of the other case. Now what about the input. We can calculate the charges draw from the source by integrate the area under the line. The area for current i are 4 triangles and the area of 1/2 i is 1 triangle. This is no surprise. We can charge to 1/2i four times and it'll be the same as charge it to i . In both cases, energy input = output. However, when looking at the heat produced they are different. We can calculate the heat with I^2Rt . One case is I^2Rt and the smaller one is 1/4I^2R(1/2t), which is about 1/8 times.
So by pulsing it with shorter time we can alter the heating while there is no effect on input and output. This heating seems to have no origin. You can also charge an inductor faster (to the same energy) with higher voltage to minimize heating. I think it's call copper loss.
Let's say you have an inductor L and wants to charge to current i . The amount of energy is 1/2 L i^2 . The question is how much energy do you put in to charge the inductor and does the amount of heat generated while charging related to input? If it does not, then the so call copper loss on power line needs investigation.
Below is the analysis I made. Inductor L is being charged to current i and 1/2i in separate cases. The charging time is taken near zero to get linear simplicity. The question we want to ask is input/output and heat loss.
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Energy when charge to i is 1/2Li^2 and energy charge to 1/2i is 1/2L1/4i^2, which is about 1/4 of the other case. Now what about the input. We can calculate the charges draw from the source by integrate the area under the line. The area for current i are 4 triangles and the area of 1/2 i is 1 triangle. This is no surprise. We can charge to 1/2i four times and it'll be the same as charge it to i . In both cases, energy input = output. However, when looking at the heat produced they are different. We can calculate the heat with I^2Rt . One case is I^2Rt and the smaller one is 1/4I^2R(1/2t), which is about 1/8 times.
So by pulsing it with shorter time we can alter the heating while there is no effect on input and output. This heating seems to have no origin. You can also charge an inductor faster (to the same energy) with higher voltage to minimize heating. I think it's call copper loss.
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