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Engineering
Electrical Engineering
Laplace Transform Finding Open-Circuit Voltage
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[QUOTE="eq1, post: 6482417, member: 82365"] I should've read your question more closely. Because of your description of the independent voltage source and the resistor, etc. I assumed your were looking for the small signal response of the battery so you could asses the stability (or general response) of a circuit while charging, or something, at a given operating point. If you're just looking to model the charge and discharge curve (i.e. charge stored vs open circuit voltage) then I am not sure Laplace is the right mathematical tool for that. I'm confident one could jury rig a model to make it fit but I think it would be pretty unwieldy. I could be wrong though. If it was limited to a certain range then it could be linear enough where perhaps you could just model it as a capacitor with an initial condition, and that would work well with Laplace. But over the entire operating range batteries are fairly non-linear which makes me think you're probably going to be best off with a time domain model. It still boils down to what question you're asking of the model and what accuracy you require, as always. See this link for more information on battery charge curves. [URL]https://www.richtek.com/Design%20Support/Technical%20Document/AN024[/URL] [/QUOTE]
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Laplace Transform Finding Open-Circuit Voltage
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