Calculators › Energy storage
State after DC charge and discharge calculator
State after DC charge and discharge
Use charge and discharge energy measured on the same DC cell boundary, with fixed rated capacity and negligible self-discharge; do not apply AC conversion losses a second time.
S O C end = S O C start + E charge − E discharge E nom × 100 \mathrm{SOC}_{\text{end}} = \mathrm{SOC}_{\text{start}} + \frac{E_{\text{charge}} - E_{\text{discharge}}}{E_{\text{nom}}} \times 100 SOC end = SOC start + E nom E charge − E discharge × 100
Calculator
Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.
Worked example
Given
S O C start \mathrm{SOC}_{\text{start}} SOC start = 45 % E charge E_{\text{charge}} E charge = 160 kWh E discharge E_{\text{discharge}} E discharge = 80 kWh E nom E_{\text{nom}} E nom = 500 kWh
S O C end = 45 + 160 − 80 500 × 100 = 61 \mathrm{SOC}_{\text{end}} = 45 + \frac{160 - 80}{500} \times 100 = 61 SOC end = 45 + 500 160 − 80 × 100 = 61
Symbols and units
Symbol Meaning Unit
S O C end \mathrm{SOC}_{\text{end}} SOC end ending state of charge %
S O C start \mathrm{SOC}_{\text{start}} SOC start starting state of charge %
E charge E_{\text{charge}} E charge DC energy added to cells kWh
E discharge E_{\text{discharge}} E discharge DC energy removed from cells kWh
E nom E_{\text{nom}} E nom rated DC capacity kWh
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