I have a physical problem that calls out for the help of mathematicians. I would like to measure the state of charge (SOC) value of NiMH batteries. The SOC value is strongly dependent on the open circuit voltage (OCV) and the temperature. I can measure both, the OCV and the temperature and I have empirically determined graphs for SOC as a function of temperature and as a function of voltage. I would like to come up with an empirical formula for SOC(OCV,temperature). Please have a look at the graphs below for the dependencies: https://ibb.co/TTvzSJy https://ibb.co/vX1wd64
Best and thank you!
Marco