THE NUMBERS, EXPLAINED
How to use this calculator.
Capacity is delivered discharge energy. Input energy is divided by round-trip efficiency. Ignores degradation, standby and financing.
Start with your inputs
Enter usable capacity (kwh), annual cycles, round-trip efficiency (%), low-price energy (£/kwh), avoided price (£/kwh), installed cost (£). Keep amounts in the units shown on each field. The example is a starting point, not a recommended value.
| Input | Example value |
|---|---|
| Usable capacity (kWh) | 10 |
| Annual cycles | 300 |
| Round-trip efficiency (%) | 90 |
| Low-price energy (£/kWh) | 0.1 |
| Avoided price (£/kWh) | 0.3 |
| Installed cost (£) | 3000 |
A worked example
With the example inputs above, annual arbitrage saving (£) is 566.67. Change the inputs to explore your own scenario.
| Result | Example answer |
|---|---|
| Annual arbitrage saving (£) | 566.67 |
| Simple payback (years) | 5.294118 |
How this is calculated
Annual arbitrage saving (£)
a × b × (e − d/(c/100)).
Simple payback (years)
f / annual arbitrage saving if that saving is positive; otherwise report no positive saving.
Symbols and units
- a
- Usable capacity (kWh)
- b
- Annual cycles
- c
- Round-trip efficiency (%)
- d
- Low-price energy (£/kWh)
- e
- Avoided price (£/kWh)
- f
- Installed cost (£)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions and limits
Capacity is delivered discharge energy. Input energy is divided by round-trip efficiency. Ignores degradation, standby and financing.
Calculations use the values you enter. Blank or invalid inputs show an error instead of silently substituting zero. Results are displayed to useful precision; calculations retain the underlying numeric precision.
Questions about this tool
What does the result tell me?
Annual arbitrage saving (£); Simple payback (years). The result applies to the method and inputs described above. Check the units and assumptions before using it in a decision.
Why might another calculator differ?
Differences in units, rounding, timing or model definitions can produce different answers. Compare the input definitions and the method, rather than only the final number. For this tool: Capacity is delivered discharge energy. Input energy is divided by round-trip efficiency. Ignores degradation, standby and financing.
Are my inputs stored or sent to AI?
Calculations on this page happen in your browser. The separate AI question finder sends its submitted conversation to OpenAI; these calculator fields are not sent. Favourites and recent tool names are stored locally. A shared link contains the inputs you choose to include.
Review status
Software example and browser checks are recorded in our quality report. No external expert review is claimed. Created with coding assistance; calculations run as ordinary browser code.
Read the quality report →