Calculators › Energy storage
AC energy above a reserve calculator
AC energy above a reserve
For a fixed rated DC capacity, subtract the reserve state from the starting state before applying discharge conversion efficiency; no charging occurs during delivery.
E ac = E nom × ( S O C start − S O C min ) × η d 100 × 100 E_{\text{ac}} = \frac{E_{\text{nom}} \times \left(\mathrm{SOC}_{\text{start}} - \mathrm{SOC}_{\text{min}}\right) \times \eta_{d}}{100 \times 100} E ac = 100 × 100 E nom × ( SOC start − SOC min ) × η d
Calculator
Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.
Worked example
Given
E nom E_{\text{nom}} E nom = 400 kWh S O C start \mathrm{SOC}_{\text{start}} SOC start = 80 % S O C min \mathrm{SOC}_{\text{min}} SOC min = 25 % η d \eta_{d} η d = 92 %
E ac = 400 × ( 80 − 25 ) × 92 100 × 100 = 202.4 E_{\text{ac}} = \frac{400 \times \left(80 - 25\right) \times 92}{100 \times 100} = 202.4 E ac = 100 × 100 400 × ( 80 − 25 ) × 92 = 202.4
Symbols and units
Symbol Meaning Unit
E ac E_{\text{ac}} E ac AC energy deliverable kWh
E nom E_{\text{nom}} E nom rated DC energy kWh
S O C start \mathrm{SOC}_{\text{start}} SOC start starting state of charge %
S O C min \mathrm{SOC}_{\text{min}} SOC min minimum reserve state %
η d \eta_{d} η d discharge conversion efficiency %
Studying for the CEM® exam?
The ClueLuma CEM app has 1,041 calculation-focused practice questions, a formula calculator like this one in every question, and an endless drill where the numbers change every time. Try it free, no card needed.
Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.