How much heat-pump and EV load growth wears out a distribution transformer, and how much does smart charging buy back?
research/infra-transformer
Distribution transformer ageing under heat-pump and EV growth: an IEEE C57.91-form thermal model on TMY weather and a standard load profile; loss of life stays under 0.01%/yr until ~50% of homes electrify, then 5.6%/yr at 100% with uncoordinated charging against 1.07%/yr with valley-filled charging (constants swept, not verified).
What it found
An hourly IEEE C57.91-form top-oil and hot-spot model (ageing factor exp(15000/383 − 15000/(θH+273)), 180,000 h normal life) driven by 10 homes: the BDEW H0 profile at 10,800 kWh/yr each, NREL TMY ambient, a heat pump with a temperature-dependent COP, and EV charging either on arrival or valley-filled overnight. On a transformer sized at 0.5 per unit of baseline peak in Greensboro weather, loss of life is 0.0019 %/yr at baseline, 0.0075 at 50 % of homes with a heat pump and an EV, and 5.6 %/yr at 100 % with uncoordinated charging (about 18 years to end of life) against 1.07 %/yr with smart charging. Smart charging removes an EV-only load entirely (0.035 to 0.0026 %/yr) but not coincident heat-pump cold-snap peaks; at 0.7 per unit every heat-pump case fails. Uniform growth of 1.16–1.28× doubles loss of life but 2.2–3.1× is needed to reach the rated-life rate. Limits: the standard’s constants (55 K top-oil rise, R 3.2, n=m=0.8, τ 3 h) are recalled, not verified, and are swept; heat pumps are fully coincident with no setback; TMY weather rather than extremes; a German load shape on US weather; smart charging has perfect foresight.
A figure from its own output
Paper, code and results
More in Energy supply and dense energy storage
- How big should a home's solar array and battery be, and at what installed price does the battery pay?How big should a home's solar array and battery be, and at what price does the battery pay? Hourly model on synthetic weather (assumed inputs): a 6 kW array meets 35% of an 8,000 kWh/yr load, a 10 kWh battery lifts it to 59%, and the battery pays only below about $451/kWh installed at $0.05 export (assumed price $800).
- Does time-of-use pricing make a home battery pay, and which size?Does time-of-use pricing make a home battery pay, and which size? On an assumed tariff with the flat tariff's average, a 10 kWh battery behind 6 kW PV breaks even at $641/kWh installed against $444 flat (assumed price $800); only 2.5 to 5 kWh clears $800, and the peak price steers the answer (
energy-homewith hourly prices). - What is the cheapest mix of solar, wind, gas and storage that cuts a power system's emissions, and what does the last 5% cost?What is the cheapest mix of solar, wind, gas and storage that cuts emissions, and what does the last 5% cost? PyPSA on 2019 German hourly demand (assumed costs): $79/MWh all-gas, $113 at an 80% cut, $177 at zero emissions with 10.6 TWh of hydrogen storage; abatement cost $30/t to $1,765/t for the last 5%. Stylised.
- How much energy can each storage technology hold per kilogram, at the most?How much energy can each storage technology hold per kilogram, at the most? First-principles ceilings that reproduce five published values within 0.3% (Li-S 2,567, Li-O2 3,458 Wh/kg). No battery couple exceeds 1.65 eV per reactant atom, so light atoms set the winners (Wh/kg = 26,801 × eV/atom ÷ g/mol); flywheels top out near 0.3 eV/atom, heat and pumped hydro far lower. Active material only. First project of track 16.
- How much energy can each storage chemistry hold per litre, and does the ranking by weight survive?How much energy can each storage chemistry hold per litre, and does the ranking by weight survive? Volumetric ceilings from reactant densities: zinc-air 9,659 Wh/L with air, Li-ion 1,382, lead-acid 724, hydrogen 1,314 at 700 bar.
- How close do real batteries, flow cells and hydrogen tanks get to their first-principles ceilings?How close do real batteries, flow cells and hydrogen tanks get to their first-principles ceilings? A Panasonic NCR18650B cell reaches 0.64 of the Li-ion reactant ceiling (243 of 380 Wh/kg), LiFePO4 0.25–0.45, lead-acid 0.21–0.24; DOE's projected 700 bar H2 system is 5.1% hydrogen by mass against 24–41% ideal. Small sourced dataset, primary and secondary rows marked. Second project of track 16.
All 39 Energy supply and dense energy storage projects →
Other research topics
Proper scoring & elicitation28Effort & peer prediction9Verification games & slashing19Detection & tolerances14Markets as routers13Prediction-market design9Paying contributors8Decentralised training systems23Digital twins & sim-to-real164LLM chip design loops40Robot manufacturing loops53Ambient AI assistant46Self-replicating manufacturing34Simulation-first design64Engineered clothing45Task-specific AI accelerators40Algorithmic chip-design loops42Open-source purpose-built robots44The software-engineering loop43Adversarial human imitation41Open-source residential construction41Autonomous multi-angle capture34Sensing, imaging and 3D31Energy supply and dense energy storage39Robot societies among people31Agentic co-design of low-cost robots27Laundry-hanging robots25Machine learning on qualitative data23Robots on the building site27Civilizations & group psychology1History & human sciences1
Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.