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Basis
Evidence

Evidence · Technical white paper

Quantifying bill and battery-life benefits of a Basis Board for NZ solar + battery homes.

Monte Carlo analysis of asset-return and asset-life benefits for a representative New Zealand home (7 kWp solar PV + 10 kWh LFP battery, fully electrified, 11,000 kWh/yr) over 400 paired annual simulations on a representative NZ time-of-use tariff including the post-April-2026 peak export rebate.

Document version v1.0 · April 2026 · Auckland / North Island average (1,400 kWh/kWp/yr solar yield) · 400 paired Monte Carlo trials · 8,760-hour hourly dispatch · Fixed random seed (2026) for reproducibility

Headline result

When a Basis Board is added to an existing solar-plus-battery system on a representative New Zealand home, the Monte Carlo simulation predicts two concrete, separately-defensible benefits:

~NZ$720/yrbill saving (median)$1,332 → $612; P10–P90 range $583–$851
60%fewer battery cycles648 → 261 full-equivalent cycles/yr
+6.6 yearsbattery life (median)Time to 70% retained capacity: 7.9 → 14.5 years

Combining the direct bill saving with the annualised value of deferred battery replacement (NZ$12,000 unit installed) gives a median total benefit of NZ$1,417/yr (P10–P90: $1,254–$1,562). The cycle-reduction ratio is the most defensible single statistic in the study; the P10–P90 range on life extension is only 5.8–7.5 years, a tight ±14% band around the median.

01

Introduction

Scope: two marketing claims, quantified against a single simulation ensemble.

This paper sets out the quantitative basis for two marketing claims made on our website regarding the incremental value a Basis Board delivers when added to an existing residential solar-plus-battery system:

  • Claim 1: improved asset returns.A Basis Board lowers grid-import cost and increases grid-export revenue, reducing the owner's annual electricity bill.
  • Claim 2: extended asset life.A Basis Board reduces battery throughput (cycles per year), extending useful battery life and deferring replacement cost.

Both claims are supported by a Monte Carlo simulation that models a New Zealand home over 400 independent simulated years, using the same weather, demand, and price realisation for each paired baseline / smart comparison. The design, inputs, dispatch logic, and results are documented here so the claims can be independently reproduced, challenged, or refined.

System and household modelled

AssetSpecificationSource / reasoning
Solar PV7 kWp north-facing, 30° tiltAverage new residential NZ system is 7.9 kWp (Jan 2026); 7 kWp used as a widely-relevant round number
Battery10 kWh usable, LFP, 5 kW max powerRepresentative of Tesla Powerwall 3 and BYD Premium HVM; 90% round-trip efficiency
Flex loadsHot-water cylinder, 7 kW EV charger (~12,000 km/yr), heat pumpTypical composition for a fully-electrified NZ home
Annual demand11,000 kWh (σ = 900 kWh)Above the ~7,000 kWh national average; reflects the EV + heat-pump homes for which a Basis Board is designed

Why NZ is a particularly strong use case

  • Large peak–off-peak spread.Representative NZ TOU tariffs price evening peak energy at ~NZ$0.55–0.58/kWh versus ~NZ$0.18/kWh overnight, a spread of ~NZ$0.40/kWh (Powerswitch; Canstar; Electric Kiwi MoveMaster).
  • Compulsory TOU rollout.From 1 July 2026, all large retailers (>5% market share) must offer time-of-use plans; dynamic/spot-linked plans are already available from Octopus Energy NZ, Electric Kiwi and Ecotricity.
  • New peak export rebates.From 1 April 2026, distributors must pay householders for exports during morning (7–11 am) and evening (5–8 pm) peaks, at rates currently set between NZ$0.052–0.13/kWh. Retailer peak buyback rates reach NZ$0.40/kWh for stored battery export during peaks.
  • Winter-peaking hydro-dominated market.NZ wholesale prices spike sharply during winter cold snaps and dry-year events (e.g. August 2024: $300–$800/MWh; September 2022: $1,600/MWh peak), creating arbitrage opportunities.
Heatmap of modelled hourly solar generation for a 7 kWp north-facing Auckland system over one sampled year. The 10:00–16:00 window is consistently hot (2–7 kW) across summer and autumn; winter (days 150–240) shows a narrower and lower-intensity band.
Figure 1. Modelled solar generation profile for one sampled year from the Monte Carlo (7 kWp, north-facing, Auckland). Colour shows hourly kW output. Winter midday is dimmer and the solar window is narrower, concentrating solar value into the 10:00–15:00 block.
02

Methodology

400 paired Monte Carlo trials over 8,760 hourly timesteps each.

Paired-trial design

For each of the 400 trials, the simulation generates one random scenario (solar, demand shape, price realisation, winter severity, spike frequency) and then runs two dispatch strategies on it in turn:

  • Baseline.Flexible loads run on fixed, convenience-driven schedules that ignore solar availability and grid-price signals. The battery self-consumes solar and discharges whenever load exceeds solar, irrespective of price.
  • Basis Board.Flexible loads are scheduled toward solar-surplus hours and cheap-grid hours. The battery holds charge when grid prices are low and discharges preferentially during expensive hours.

This pairing controls for scenario variability; the savings and cycle-reduction figures reported are strictly within-scenario differences, so they are not distorted by one strategy happening to see a sunnier year than the other.

Stochastic inputs

InputDistributionBasis
Annual solar yieldNormal(μ=1,400, σ=100) kWh/kWpEECA / BRANZ / NIWA solar atlas; year-to-year ±7%
Hourly cloud / weatherLognormal + Beta for day-level coverCaptures hourly variance and clustered cloudy days
Annual household loadNormal(μ=11,000, σ=900) kWhBehavioural variation (occupancy, EV km, heating preferences)
Winter price upliftNormal(μ=$0.10, σ=$0.04) /kWhDry-year / gas-supply risk premium applied to winter imports
Price spike multiplierNormal(μ=2.5, σ=0.4)×Calibrated against NZ wholesale spike events 2022–2024
Spike hour probability0.8% of peak hoursCalibrated against EA peakiness analysis
Cheap-hour probability1.5% of all hoursHigh-renewables / low-demand windows

Electricity tariff structure

A representative NZ TOU tariff based on Powerswitch benchmarks (Feb 2026) and the Electricity Authority's mandated peak- export rebate effective 1 April 2026.

WindowHoursImport ($/kWh incl. GST)Export ($/kWh)
Off-peak23:00–07:000.180.12
AM peak07:00–09:000.550.23
Daytime shoulder09:00–17:000.320.12
PM peak17:00–21:000.580.23
Late shoulder21:00–23:000.280.12

A winter uplift (mean $0.10/kWh, June–August) is applied to imports, and a small fraction of hours are replaced with either a spike (~2.5× base price) or a cheap-hour value ($0.05/kWh) confined to peak windows, mirroring real NZ wholesale behaviour. The annual-average import rate lands at ~NZ$0.34/kWh, consistent with MBIE February 2026 figures.

Step-function chart of the representative NZ time-of-use tariff across 24 hours. Off-peak ~$0.18/kWh (23–07), AM peak ~$0.55/kWh (07–09), daytime shoulder ~$0.32/kWh, PM peak ~$0.58/kWh (17–21), late shoulder ~$0.28/kWh. Peak export rebate rises from $0.12 to $0.23/kWh during AM and PM peak windows.
Figure 3. Representative NZ time-of-use tariff used in the simulation, based on Powerswitch benchmarks and the post-1 April 2026 peak export-rebate rules. The NZ$0.40/kWh peak-to-off-peak spread is what makes shifting flexible loads so valuable.

Battery degradation model

A linear two-term capacity-fade model, standard for long- horizon battery economics (NREL, BatPaC, Aurora):

Capacity lost (percentage points) after t years = cal_rate × t + cyc_rate × cycles_per_year × t
ParameterValueSource
Calendar fade rate0.90%/yrNREL LFP studies; Tesla Powerwall warranty blended rate
Cycle fade rate0.0045%/cycleLFP cells at ~60% avg DoD, 25°C; middle of published range 0.003–0.006%/cycle
End-of-life threshold70% of original capacityIndustry-standard warranty endpoint
Replacement cost (installed)NZ$12,000Supplier pricing for a 10 kWh LFP unit, Auckland, April 2026
03

Dispatch logic

Identical physics; strategies differ only in load schedule and battery discharge rule.

Flexible-load scheduling

Baseline ("dumb") schedules

  • Hot water.Weighted toward ripple-controlled off-peak (23:00–07:00) with a small 18:00 evening boost.
  • EV.Owner plugs in at 18:00 and draws continuously through the evening until full.
  • Heat pump.Thermostat-driven bursts in morning (06–09) and evening (17–22) during winter; small daytime maintenance load.

Basis Board schedules

  • Hot water.Scheduled toward hours where solar output exceeds ~0.4 kW or grid import price is below ~$0.22/kWh.
  • EV.Primarily off-peak (23:00–06:00) with opportunistic top-ups during high-solar daytime windows; avoids the evening peak entirely.
  • Heat pump.Pre-heats the dwelling during solar / cheap hours (typically 11:00–15:00) so less heating demand falls in the evening peak; respects winter-seasonal weighting.

Battery dispatch logic

Both strategies self-consume solar surplus into the battery before exporting. They differ on the discharge side.

  • Baseline.Always discharge whenever load exceeds solar, regardless of price. The battery carries the evening-peak load created by the baseline schedules, translating to ~1.8 full-equivalent cycles per day on average.
  • Basis Board.Discharge in proportion to price percentile. When the current import price is in the cheapest quartile, the battery holds charge (grid serves load directly); above the 60th percentile it discharges aggressively, ~0.7 full-equivalent cycles per day.

Smart dispatch does not employ grid-to-battery arbitrage. We deliberately excluded this because it adds battery cycles and most NZ owners configure systems for self-consumption only. Including it would increase savings but reduce the life-extension benefit.

Two panels showing solar generation, baseline load, and Basis Board load across a typical summer day (left) and a typical winter day (right). In both, the baseline load profile peaks in the 17:00–21:00 evening window, while the Basis Board profile is flatter and shifted into the solar window (9:00–17:00).
Figure 2. Solar vs load: baseline vs Basis Board scheduling of flexible loads on a typical summer and a typical winter day. The Basis Board shape stays broadly under the solar curve; the baseline profile concentrates load into the expensive 17–21:00 peak.
04

Results

Bill outcome, cycling reduction, modelled life extension, and deferred-replacement value.

4.1 Annual bill outcome

Median annual grid spend falls from NZ$1,332 (baseline) to NZ$612 (smart), a 54% reduction. The distribution of savings across the 400 trials is approximately normal with a median of $721/yr and a P10–P90 range of $583–$851. The tail on the high end corresponds to years with more frequent winter price spikes; the tail on the low end corresponds to low-volatility, mild-winter years.

Histogram of annual bill savings across 400 Monte Carlo trials. Roughly normal distribution centred on $721/yr, with the shaded P10–P90 band spanning $583–$851/yr.
Figure 5. Distribution of annual bill savings (smart vs baseline) across 400 Monte Carlo trials (7 kWp solar + 10 kWh battery). Median $721/yr; P10–P90 range $583–$851.

4.2 Battery cycling

Smart scheduling reduces median annual battery throughput from 648 to 261 full-equivalent cycles, a 60% reduction. This happens almost entirely because HW, EV, and heat-pump loads no longer need to be buffered through the battery during the evening peak; they are served directly by solar during the day or by the grid during cheap overnight hours.

Two box plots comparing annual full-equivalent battery cycles. Baseline: median 648 cycles/yr with a tight distribution 600–690. Smart panel: median 261 cycles/yr spanning 200–325.
Figure 4. Battery throughput distribution across 400 trials. Median cycle reduction: 60% (648 → 261 cycles/yr). The distribution is narrow in both regimes; the reduction ratio is the most stable statistic in the study.

4.3 Battery life and deferred-replacement value

Applying the capacity-fade model to these cycling rates yields a baseline life (time to 70% retained capacity) of 7.9 years, versus 14.5 years for the smart case, a median extension of +6.6 years (P10 +5.8, P90 +7.5).

Two linear trajectories of retained battery capacity (%) over 20 years. Baseline (648 cycles/yr) hits 70% end-of-life at 7.9 years. Smart panel (261 cycles/yr) hits 70% at 14.5 years, a +6.6-year extension.
Figure 6. Modelled battery capacity retention over time under a standard linear calendar + cycle degradation model (LFP chemistry). Time to 70% retained capacity extends from 7.9 years (baseline) to 14.5 years (smart).

The annualised value of deferring a NZ$12,000 battery replacement by this amount is:

Deferred-replacement value = battery_cost × (1/life_baseline − 1/life_smart) = $12,000 × (1/7.9 − 1/14.5) ≈ $691/yr

The Monte Carlo ensemble gives a median of $702/yr with a P10–P90 range of $651–$729/yr. Added to the bill saving, this brings the combined annual benefit to a median of $1,417/yr.

4.4 Energy flows

The energy-flow picture illustrates the mechanism rather than the dollar outcome. Solar self-consumption rises from 59% of generation (baseline) to 64% (smart), while grid imports fall by ~740 kWh/yr. Exports fall modestly because some of what was previously sold at low rates is now self-consumed at high implicit value.

Horizontal bar chart comparing annual energy flows under baseline vs Basis Board. Grid imported: 5,558 → 4,815 kWh. Solar exported: 3,996 → 3,480 kWh. Solar self-consumed: 5,747 → 6,286 kWh.
Figure 7. Annual energy flows (median of 400 Monte Carlo trials). The Basis Board increases solar self-consumption and reduces grid imports; exports fall slightly because more of the generation is retained on-site at a higher implicit value.
05

Sensitivity

Parameter sensitivities and the invariant cycle-reduction ratio.

What matters most for the bill-saving figure

  • Peak–off-peak tariff spread (±$420/yr).By far the largest driver. On a flat-rate tariff, savings fall by roughly $420/yr; on a wholesale-linked plan (Octopus Flex, Ecotricity ecoWHOLESALE) with periodic spikes, savings rise ~$260/yr. The website claim should therefore be explicitly tariff-dependent.
  • EV flexibility (−$210/yr if absent).A home without an EV loses roughly a third of the Basis Board benefit; the EV is the single largest shiftable load.
  • Solar yield (±$150/yr).Regional variation: Wellington at 1,300 kWh/kWp/yr versus Nelson/Queenstown at 1,550 moves savings by ~±$150/yr.
  • Annual load (±$150/yr).Larger-consumption homes benefit more in absolute dollar terms; the percentage benefit is roughly constant.
  • Peak export rebate and heat-pump presence.Each contributes ±$70–130/yr.

What does NOT materially change the outcome

The life-extension figure is driven almost entirely by the ratio of cycling rates, and that ratio (≈ 2.5× fewer cycles in the smart case) is remarkably stable across the tested scenarios; the P10–P90 range for life extension is only 5.8–7.5 years, a tight ±14% band around the median. This is the most defensible single statistic in the study.

Tornado chart showing how median annual savings shift with each parameter. Peak–off-peak spread swings from -$420 to +$260. EV flexibility -$210 only. Solar yield ±$150, annual load ±$150, peak export rebate ±$110, heat-pump presence ±$80, winter spike frequency ±$80.
Figure 8. Sensitivity of annual bill savings to key input assumptions. Peak-to-off-peak tariff spread dominates: flat-rate plans lose ~$420/yr of saving; wholesale-linked plans add ~$260. EV presence is the largest appliance-mix driver.
06

Limitations

Assumptions that should be flagged before these numbers enter regulated or investor-facing material.

  • Perfect-foresight dispatch.The smart strategy assumes knowledge of the current day's price schedule. Realistic for day-ahead TOU (published), optimistic for dynamic spot plans. Real implementations capture 80–90% of the modelled arbitrage value on spot plans.
  • Stylised load profiles.We use parametric load shapes rather than 30-minute smart-meter data from actual customers. When real customer meter data becomes available (EA public releases post-2026), the figures should be re-estimated.
  • Single NZ tariff.Regional variation in NZ lines charges, retailer rates and TOU structures is significant; the headline number should always be accompanied by a range or an explicit assumption statement.
  • Battery cost projection flat.Deferred-replacement value is calculated at today's $12,000 installed cost. If replacement batteries are meaningfully cheaper in 2034 (installed LFP prices have been falling 10–15%/yr), the deferred-value figure is slightly overstated.
  • No behavioural rebound.We do not model the owner using more energy because it is cheaper. Published rebound literature suggests this could erode the bill saving by 5–15%.
  • No degradation-rate variation.Calendar and cycle fade are held constant. Fade is mildly non-linear near end of life, which slightly shortens both trajectories but leaves the relative extension roughly unchanged.
07

Conclusion

Recommended claim language, tariff-dependent and flat-rate variants.

Both marketing claims are supported by the simulation. Recommended language that is defensible:

Three-pair bar chart summarising the headline metrics: annual bill $1,332 → $612 (−54%), battery cycles 648 → 261 (−60%), battery life 7.9 → 14.5 years (+84%).
Figure 9. Headline metrics: Basis Board vs baseline (median values across 400 Monte Carlo trials). Bill −54%, cycles −60%, battery life +84%.
“On a typical NZ time-of-use tariff, adding a Smart Panel to an existing solar-plus-battery home can save NZ$500–850 per year on electricity bills and roughly halve battery throughput, extending useful battery life by up to 6 years.”

Flat-rate variant (weaker, safer)

“A Basis Board typically delivers NZ$200–850/year in bill savings and significantly extends battery life by reducing cycling. Actual savings depend on your tariff, home load profile, and appliance mix; TOU and wholesale-linked plans deliver the largest benefit.”

Battery-life-only variant (highest confidence)

“By scheduling flexible loads directly off solar and cheap grid windows, a Basis Board roughly halves the number of cycles your battery has to perform each year, extending its useful life by approximately 5–7 years.”

The battery-life claim is quantitatively robust across the full sensitivity band and can be stated with more confidence than the bill-saving claim.