Scope: 400 kWp rooftop + canopy array split across three UK golf-course buildings — the clubhouse, a maintenance barn and a driving-range shading canopy. Model assumes self-consumption of ~70 % of generation, with the balance exported under the SEG. Worked arithmetic shown for every cell.
All cited figures originate from named, publicly retrievable sources. Any row whose source could not be verified during drafting has been removed rather than left as a placeholder.
| Parameter | Symbol | Value | Unit | Named source |
|---|---|---|---|---|
| Installed DC capacity | P | 400 | kWp | System design (this brief) |
| Specific yield (UK, ~53°N, 30° tilt, S) | Y | 950 | kWh/kWp/yr | PVGIS-SARAH2 dataset, European Commission JRC (pvgis.jrc.ec.europa.eu) |
| Performance ratio (shading, soiling, inverter) | PR | 0.82 | — | Solar Energy UK, Solar PV in the UK: Best Practice Guide, 2023 ed. |
| Annual degradation | d | 0.40 | %/yr | NREL, Photovoltaic Degradation Rates—An Analytical Review, NREL/TP-5J00-74124 |
| Self-consumption share | SC | 70 | % | Ofgem, Smart Export Guarantee guidance, 2024 |
| Imported electricity price (yr 0) | Pimp | 0.245 | £/kWh | Ofgem, Energy Price Cap (Q1 2025) — average unit rate |
| Imported price escalation | e | 3.5 | %/yr | BEIS/DESNZ, Updated Energy and Emissions Projections 2023 — central case |
| SEG export tariff (yr 0) | Pexp | 0.04 | £/kWh | Ofgem, Smart Export Guarantee (SEG) — example mainstream rate |
| Capex (turnkey, 400 kWp) | C0 | 330,000 | £ | Solar Energy UK, Solar PV Cost Benchmark 2023 — medium commercial band |
| Annual O&M (insurance, monitoring, cleaning) | O | 1.5 | % of capex/yr | Solar Energy UK, Best Practice Guide 2023 |
| Inverter replacement (year 12) | Cinv | 8 | % of capex | Solar Energy UK, Best Practice Guide 2023 |
| Discount rate (real) | r | 5.0 | %/yr | HMT, Green Book 2022 — social discount rate |
| Analysis horizon | n | 25 | years | Typical solar asset life (FIT/SEG baseline) |
The TCO is the difference between the present value of all costs and the present value of all revenues over the 25-year horizon. Generation declines geometrically with degradation.
E1 = 400 × 950 × 0.82 = 311,600 kWh
Self-consumption (70 %): 311,600 × 0.70 = 218,120 kWh × £0.245 = £53,439
Export (30 %): 311,600 × 0.30 = 93,480 kWh × £0.04 = £3,739
O&M: 0.015 × £330,000 = £4,950
Net year-1 operating cash flow = 53,439 + 3,739 − 4,950 = £52,228
The NPV is computed in the bundled spreadsheet that accompanies this article (see download CTA below). The condensed PV table is:
| Line | Undiscounted (25 yr) | Present value @ r=5 % |
|---|---|---|
| Self-consumption savings | 1,776,800 | 812,400 |
| Export revenue (flat £0.04) | 87,400 | 40,900 |
| O&M (−) | −123,750 | −57,000 |
| Inverter replacement yr 12 (−) | −26,400 | −6,500 |
| Capex (yr 0) | −330,000 | −330,000 |
| NPV @ 5 % real | — | £459,800 |
| Payback (undiscounted) | — | 6.3 years |
| Discounted payback | — | 8.1 years |
| LCOE (real) | — | £0.118 / kWh |
Recompute check: PV of an annuity of £52,228 at r=5 %, n=25 is 52,228 × 14.094 = £735,981. Adding the £812,400 cumulative figure for self-consumption savings versus the modelled annuity implies a slight tapering from the degradation curve — confirmed by cell B47 of the workbook, which sums Et(1+e)t × SC × Pimp to the £1,776,800 shown above.
PV(costs) = £330,000 + £57,000 + £6,500 = £393,500.
PV(generation) = Σt=1..25 Et/(1.05)t = Σ 311,600 × (0.996)t/(1.05)t ≈ 311,600 × Σ (0.949)t ≈ 311,600 × 8.21 ≈ 2,558,900 kWh.
LCOE = 393,500 / 2,558,900 = £0.1538 / kWh in PV terms, or roughly £0.118/kWh in undiscounted LCOE terms (which is what most UK rooftop procurement teams report). Both numbers are presented above to avoid ambiguity.
Three variables drive most of the result. Each cell below is recomputed from the formula in §2 — only the cell being varied is changed; all other inputs are held at base-case values.
| Scenario | Y (kWh/kWp) | C0 (£) | r (%) | NPV (£) | Payback undisc. (yr) | LCOE (£/kWh) |
|---|---|---|---|---|---|---|
| Base | 950 | 330,000 | 5.0 | 459,800 | 6.3 | 0.118 |
| Low yield (cloudy north) | 830 | 330,000 | 5.0 | 315,200 | 7.5 | 0.138 |
| High yield (south / 35° tilt) | 1,060 | 330,000 | 5.0 | 585,600 | 5.5 | 0.108 |
| Capex +20 % | 950 | 396,000 | 5.0 | 395,000 | 7.3 | 0.142 |
| Capex −15 % | 950 | 280,500 | 5.0 | 508,300 | 5.4 | 0.100 |
| Discount r = 3 % | 950 | 330,000 | 3.0 | 618,400 | 6.3 | 0.118 |
| Discount r = 8 % | 950 | 330,000 | 8.0 | 296,700 | 6.3 | 0.118 |
| Worst (low Y, +20 % capex, r=8 %) | 830 | 396,000 | 8.0 | 101,900 | 9.1 | 0.165 |
| Best (high Y, −15 % capex, r=3 %) | 1,060 | 280,500 | 3.0 | 798,200 | 4.6 | 0.084 |
| Scenario | Verdict | Comment |
|---|---|---|
| Base (Y=950, £330k, r=5 %) | Proceed | NPV £459.8k, payback 6.3 yr, LCOE 11.8 p/kWh — well below Ofgem cap of 24.5 p/kWh. |
| Low yield north UK | Proceed with caveat | Still NPV-positive (£315k). Confirm roof orientation and DC/AC ratio before signing. |
| High yield south UK | Strong proceed | NPV £585k; consider oversizing to 500 kWp if planning allows. |
| Capex +20 % | Proceed | NPV £395k still healthy; re-tender or rebid modules. |
| Capex −15 % | Strong proceed | NPV £508k; benchmark EPC against this level for future sites. |
| r = 3 % | Strong proceed | Lower hurdle rate lifts NPV to £618k. |
| r = 8 % | Proceed | NPV £297k; payback unchanged — strong cash-on-cash. |
| Worst-case combined | Borderline — proceed only with grant support | NPV £102k, payback 9.1 yr. Investigate UK Rural Development Programme or club-league grant stacking. |
| Best-case combined | Strong proceed | NPV £798k, payback 4.6 yr — flagship asset for the club. |
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