# Relating Temperature and Battery Performance (HELP)

I am a grade 11 student performing a experiment on relating how external temperature affects the performance of a battery, so its voltage and current change. I've done so much research and cant find a formula that relates temperature to any parameters of a battery. The experiment plan is to get a battery and discharge it at different temperatures but the problem is that I need to have a theoretical formula that supports the results. Could any of you please help find some formulas that I could use. Thank You.

• What battery? does it have a model #? – Voltage Spike Feb 11 at 0:15
• Lithium Ion Polymer Battery - 3.7v 100mAh – Kirill Delyukin Feb 11 at 0:17
• I need to have a theoretical formula that supports the results .... what if the results of a carefully conducted experiment do not match the formula? – jsotola Feb 11 at 2:53
• Nothing really, It can be blamed on sources of error and other factors in the unideal conditions. I just need a way to calculate and determine the trend. – Kirill Delyukin Feb 11 at 3:38

LiPo batteries have a nonlinear behaviour with temperature and varies widely with quality of construction, although there are some generalizations.

Assumptions

• Battery model specifications take precedence over generic expectations
• test with controlled constant current sink vs voltage must not stay under/over voltage for any significant time.
• if specs define capacity and charge cycle life, these will affect temperature results
• several batteries must be tested to determine standard deviation of the experiment
• example specs
• search "google images" for 100mA LiPo temperature performance graphs
• search battery university site for experience