Summary
Allowable System Cost vs Round-Trip Efficiency
For each RTE from 75% to 95%, this shows the maximum you could spend on the system while still achieving the hurdle IRR, after paying the customer their guaranteed value. The annotated lines show the selling price and internal BOM cost.
Margin Headroom: Both Units Compared
Allowable cost minus internal BOM cost = the maximum margin you could charge while still delivering the hurdle IRR after the customer's guaranteed value. Both unit sizes are shown simultaneously so you can compare how the cost-per-kWh difference interacts with the RTE sensitivity curve. Where headroom drops to zero, that RTE cannot support any margin at all.
Incremental Allowable Cost per 1% RTE Improvement
Each bar shows how much more you can afford to spend on the system for each additional 1% of round-trip efficiency. This is the key question: does the BOM cost of higher-efficiency components justify the improvement?
Full Results Table
| RTE % | Total Savings | Customer Value | Supplier Cash Flow | Allowable Cost | Sale Price | Headroom | GP @1k | GP @10k | GP @100k |
|---|
Operating State Context
The simulation uses a single effective RTE parameter, but in practice round-trip efficiency decomposes into three distinct operating states, each with different loss mechanisms:
Active Discharge
Active Charge
Sleep / Standby
Methodology
For each integer RTE from 75% to 95%:
- Run the greedy arbitrage simulation on the last 365 days of Octopus Agile data to get annualised savings at that RTE
- Subtract the customer's guaranteed annual value to get supplier cash flow
- Compute the annuity factor: AF = ∑(1/(1+r)t) for t=1..10, where r = hurdle IRR
- Allowable cost = supplier cash flow x AF (the maximum capital cost that delivers the hurdle IRR)
- Margin headroom = allowable cost − internal BOM cost
- Incremental cost = difference in allowable cost between adjacent RTE values
Key assumptions: 10-year battery life, constant annual savings (no degradation), greedy median-threshold strategy, 0.8kW base consumption, 1kW charge rate. Internal BOM = £100 inverter + £35/kWh storage.