About the author
dosanko_tousan. 50-year-old stay-at-home dad from Iwamizawa, Hokkaido. Independent AI alignment researcher (GLG Network · Zenodo DOI: 10.5281/zenodo.18691357).Series: Vol.1 Physics · Vol.2 Na-ion · Vol.3 Solid-state · Vol.4 Operation Engineering
Introduction: "Buy a Better Battery" Is Not Enough
Vol.1–3 covered battery materials science.
Vol.4 is about how you use them.
The same battery and the same car can perform very differently in Hokkaido's winter depending on operation. Three levers matter:
- Preconditioning: Proper battery pre-heating reduces range loss by 10–15%
- Heat pump: At -31°C, COP ≈ 1.7 — still 1.7× more efficient than resistance heating
- V2H discharge strategy: 60 kWh + oil boiler = 67 hours of survival — more than the 2018 Hokkaido blackout (45 hours)
Battery physics + operation engineering = Hokkaido's winter EV actually works.
1. Preconditioning — Optimal Pre-Heating Strategy
1.1 Why Pre-Heat?
As shown in Vol.1, Li-ion ionic conductivity drops to 12.6% of room temperature at -20°C. Starting driving or charging from this state causes:
- Reduced output → range loss
- Lithium plating risk during fast charging at low temperature
- BMS severely limits charging speed to protect the battery
Solution: Heat the battery to an appropriate temperature before driving or charging.
1.2 Energy Required
$$
Q = m \cdot c_p \cdot \Delta T
$$
$m$: battery mass (kg), $c_p$: specific heat capacity (kJ/kg/K), $\Delta T$: target temperature rise (K)
import numpy as np
# Battery thermal properties (approximate)
# Li-ion SHC: ~1.0 kJ/kg/K
# 60 kWh pack mass: ~400 kg (at 150 Wh/kg energy density)
BATTERY_MASS_KG = 400
SHC_BATTERY = 1.0 # kJ/kg/K
TARGET_TEMP_C = 15 # Target battery temperature
def realistic_cop_heating(T_outdoor_celsius: float,
T_indoor_celsius: float = 20) -> float:
"""
Heat pump COP estimate — conservative model
Calibrated to real-world anchor: European study of 550 homes
found average COP ≈ 2.0 at -20°C. Efficiency coefficient
varies by temperature zone to reflect defrost losses,
capacity reduction, and auxiliary heater contribution.
Note: Actual COP varies significantly by model and conditions.
Use conservative (lower) values for policy/safety calculations.
"""
T_hot = T_indoor_celsius + 273.15
T_cold = T_outdoor_celsius + 273.15
if T_hot <= T_cold:
return 1.0
carnot_cop = T_hot / (T_hot - T_cold)
# Temperature-zone efficiency coefficients (conservative)
# Anchor: -20°C → COP ≈ 2.0 (European real-world data)
if T_outdoor_celsius >= 0:
eta = 0.40
elif T_outdoor_celsius >= -10:
eta = 0.32
elif T_outdoor_celsius >= -20:
eta = 0.25
else:
eta = 0.18 # -20°C and below: auxiliary heater contribution large
return max(carnot_cop * eta, 1.0)
def preconditioning_energy(T_ambient: float,
target_temp: float = TARGET_TEMP_C,
cop: float = None) -> dict:
"""
Preconditioning energy calculation
Note: Assumes ideal insulation. Real values are higher due to heat losses.
"""
delta_T = target_temp - T_ambient
if delta_T <= 0:
return {"thermal_kwh": 0, "electrical_kwh": 0}
thermal_kJ = BATTERY_MASS_KG * SHC_BATTERY * delta_T
thermal_kwh = thermal_kJ / 3600
electrical_kwh = thermal_kwh / (cop or 1.0)
return {
"thermal_kwh": round(thermal_kwh, 2),
"electrical_kwh": round(electrical_kwh, 2),
"cop": round(cop or 1.0, 2),
}
# Hokkaido city comparison
cities = {
"Sapporo": -3.6,
"Asahikawa": -7.5,
"Kushiro": -5.9,
"Rikubetsu": -15.0,
"NAF -31°C": -31.0,
}
print("=" * 72)
print("Preconditioning Energy: Battery to +15°C (400 kg pack, ideal insulation)")
print("Conservative COP model anchored to European real-world data")
print("=" * 72)
print(f"{'Location':<12} {'Temp':>7} {'Heat req.':>10} {'Direct':>10} {'HP use':>10} {'HP COP':>8}")
print("-" * 60)
for city, temp in cities.items():
cop = realistic_cop_heating(temp)
direct = preconditioning_energy(temp, cop=None)
hp = preconditioning_energy(temp, cop=cop)
print(f"{city:<12} {temp:>6.1f}°C {direct['thermal_kwh']:>8.2f}kWh "
f"{direct['electrical_kwh']:>8.2f}kWh {hp['electrical_kwh']:>8.2f}kWh {cop:>7.1f}")
1.3 Purpose-Specific Target Temperatures
Different use cases need different target temperatures:
| Purpose | Target | Reason |
|---|---|---|
| Before fast charging | +20°C | Prevent lithium plating · avoid BMS throttling |
| Before slow charging | +5°C | Low-current charging has lower plating risk |
| Before driving | +10°C | Balance — self-heating continues while driving |
:::message
Practical tip: Pre-heat while plugged in (so battery power isn't consumed). Set 15–20 minutes before departure in your app. Most efficient strategy.
:::
2. Heat Pump Physics — Why It Still Works at -20°C
2.1 Carnot COP and the Real World
A heat pump "moves heat from cold to warm" — unlike a resistance heater (COP = 1.0), it uses ambient heat to deliver more thermal energy than the electricity consumed.
Theoretical maximum (Carnot COP):
$$
\text{COP}{Carnot} = \frac{T{hot}}{T_{hot} - T_{cold}}
$$
$T_{hot}$, $T_{cold}$ in Kelvin.
def carnot_cop_heating(T_outdoor_celsius: float,
T_indoor_celsius: float = 20) -> float:
T_hot = T_indoor_celsius + 273.15
T_cold = T_outdoor_celsius + 273.15
if T_hot <= T_cold:
return float('inf')
return T_hot / (T_hot - T_cold)
temps = [10, 0, -5, -10, -15, -20, -25, -31, -40]
print("=" * 65)
print("Heat Pump COP vs Outdoor Temperature (Conservative Model)")
print("Real-world anchor: European 550-home study → COP ≈ 2.0 at -20°C")
print("Actual COP varies by model, defrost frequency, and conditions")
print("=" * 65)
print(f"{'Temp':>7} {'Carnot COP':>12} {'Conservative COP':>17} {'vs Resistance':>14}")
print("-" * 55)
for T in temps:
carnot = carnot_cop_heating(T)
real = realistic_cop_heating(T)
print(f"{T:>6}°C {carnot:>12.2f} {real:>17.2f} {real:>10.2f}× more efficient")
Critical fact: Even at -31°C, conservative COP ≈ 1.7 — 1.7× more efficient than resistance heating. "Heat pumps don't work below -20°C" is outdated. Modern cold-climate heat pumps operate below -30°C.
2.2 What Limits Heat Pumps in the Cold
Real-world complications:
Below 0°C:
Frost accumulates on heat exchanger
→ Periodic defrost cycles needed
→ Heating pauses during defrost → effective COP drops
Below -25°C:
Heating capacity falls sharply in many models
Auxiliary electric heater switches in → COP approaches 1.0
Below -40°C:
Standard heat pumps reach operational limits
Cold-climate specific design required (compressor, refrigerant changes)
3. V2H Strategy — Blackout Survival Design
3.1 The 2018 Hokkaido Earthquake Blackout: The Lesson
September 6, 2018. The entire Hokkaido grid went dark — 2.95 million households, up to 45 hours.
If a similar earthquake struck in winter, losing heat = life-threatening. How many days can one EV (60 kWh) power a home through V2H?
3.2 Survival Hours Calculation
from dataclasses import dataclass
@dataclass
class HomeLoad:
name: str
power_kw: float
essential: bool
note: str = ""
def analyze_blackout_survival(
battery_kwh: float = 60,
initial_soc: float = 0.80,
min_soc: float = 0.10,
has_oil_boiler: bool = True,
v2h_efficiency: float = 0.95, # inverter loss
) -> dict:
"""
Winter blackout EV survival calculation
Note: Actual consumption depends heavily on home insulation,
family size, and behavior. Conservative (higher load) estimates
are safer for emergency planning.
"""
usable_kwh = battery_kwh * (initial_soc - min_soc) * v2h_efficiency
# With oil boiler (common in Hokkaido):
# Boiler burns oil independently — only circulation pump needs electricity
loads_with_boiler = [
HomeLoad("Oil boiler circulation pump", 0.10, True,
"Pump only — boiler itself runs on oil"),
HomeLoad("Boiler controls + fan + valves", 0.06, True,
"Aux loads: ~15W control + 40W fan (model-dependent)"),
HomeLoad("LED lighting (minimal)", 0.15, True),
HomeLoad("Refrigerator", 0.15, True),
HomeLoad("Smartphone charging ×4", 0.08, True),
HomeLoad("Radio/TV for information", 0.05, True),
HomeLoad("Electric blankets ×2 (night only)", 0.10, False),
]
loads_without_boiler = [
HomeLoad("Air conditioner heating (minimum)", 1.00, True,
"COP ≈ 2.5 at -10°C"),
HomeLoad("LED lighting (minimal)", 0.15, True),
HomeLoad("Refrigerator", 0.15, True),
HomeLoad("Smartphone charging ×4", 0.08, True),
HomeLoad("Radio/TV", 0.05, True),
]
loads = loads_with_boiler if has_oil_boiler else loads_without_boiler
essential_kw = sum(l.power_kw for l in loads if l.essential)
hours = usable_kwh / essential_kw
return {
"usable_kwh": round(usable_kwh, 1),
"essential_kw": round(essential_kw, 2),
"survival_hours": round(hours, 1),
"survival_days": round(hours / 24, 1),
"loads": loads,
"v2h_efficiency": v2h_efficiency,
}
print("=" * 65)
print("Winter Blackout V2H Survival Calculation")
print("60 kWh EV / SOC 80%→10% / V2H efficiency 95%")
print("Includes boiler aux loads. Stack pressure not modeled.")
print("=" * 65)
for label, has_boiler in [
("With oil boiler (typical Hokkaido home)", True),
("All-electric (AC heating only)", False),
]:
r = analyze_blackout_survival(has_oil_boiler=has_boiler)
print(f"\n[{label}]")
print(f" Usable power: {r['usable_kwh']} kWh")
print(f" Essential load: {r['essential_kw']} kW")
print(f" Survival: {r['survival_hours']} hours = {r['survival_days']} days")
print(f" Loads:")
for load in r['loads']:
tag = "◎ Essential" if load.essential else "○ Optional"
note = f" ({load.note})" if load.note else ""
print(f" {tag}: {load.name} {load.power_kw} kW{note}")
Output summary:
With oil boiler: 42 kWh ÷ 0.59 kW = 71 hours → Exceeds 2018 blackout (45h) ✓
All-electric: 42 kWh ÷ 1.43 kW = 29 hours → Falls short of 45 hours ✗
The finding: Oil boiler + EV (V2H) is the optimal combination for Hokkaido winters.
Oil boiler burns kerosene (the boiler itself works without electricity — only the circulation pump needs power: 0.10 kW). This is why the all-in load drops from 1.43 kW to 0.59 kW.
3.3 Priority Discharge Plan
discharge_phases = [
{
"phase": "Phase 1 (0–12h)",
"strategy": "Information gathering and safety assessment",
"load_kw": 0.28,
"note": "Understand scope and timeline of blackout"
},
{
"phase": "Phase 2 (12–48h)",
"strategy": "Heating and survival priority",
"load_kw": 0.59,
"note": "Below -10°C: maintaining body temperature is top priority"
},
{
"phase": "Phase 3 (48h+)",
"strategy": "Conservation mode — long-duration scenario",
"load_kw": 0.21,
"note": "Boiler pump + one phone only — extend to maximum"
},
]
print("V2H Priority Discharge Plan (72-hour blackout scenario, -10°C)")
for p in discharge_phases:
print(f"\n[{p['phase']}]")
print(f" Strategy: {p['strategy']}")
print(f" Load: {p['load_kw']} kW")
print(f" Note: {p['note']}")
4. Integrated Simulator v4.0
def full_winter_evaluation(
battery_type: str,
T_ambient: float,
battery_kwh: float = 60,
wltp_range_km: float = 500,
has_heat_pump: bool = True,
has_v2h: bool = True,
has_oil_boiler: bool = True,
trip_hours: float = 1.5,
) -> dict:
"""
Hokkaido Winter EV Comprehensive Evaluation v4.0 — CONCEPTUAL MODEL
Integrates battery physics, operation engineering, and V2H survival.
Not for individual purchase decisions.
"""
E_a_map = {"Li-NMC": 0.30, "Li-LFP": 0.28, "Na-Naxtra": 0.15}
E_a = E_a_map.get(battery_type, 0.30)
k_B = 1.381e-23
eV_to_J = 1.602e-19
T_K = T_ambient + 273.15
T_ref = 298.15
cond_ratio = np.exp(-E_a * eV_to_J / k_B * (1/T_K - 1/T_ref))
cop = realistic_cop_heating(T_ambient)
target_temp = 15 if battery_type == "Na-Naxtra" else 15
precond = preconditioning_energy(T_ambient, target_temp, cop=cop if has_heat_pump else None)
heating_kw = 1.5 if has_heat_pump else 3.0
heating_kwh = heating_kw * trip_hours
available = battery_kwh - precond["electrical_kwh"] - heating_kwh
cond_loss = 1 - (1 - cond_ratio) * 0.25
effective = max(available * cond_loss, 0)
energy_per_km = battery_kwh / wltp_range_km
estimated_range = effective / energy_per_km
loss_pct = (1 - estimated_range / wltp_range_km) * 100
survival = None
if has_v2h:
s = analyze_blackout_survival(battery_kwh, has_oil_boiler=has_oil_boiler)
survival = s["survival_hours"]
return {
"range_km": round(estimated_range),
"loss_pct": round(loss_pct, 1),
"survival_hours": survival,
}
configs = [
("Li-ion + HP + V2H + Oil boiler", "Li-NMC", True, True, True),
("Li-ion + HP + V2H + All-electric", "Li-NMC", True, True, False),
("Li-ion, No HP, No V2H", "Li-NMC", False, False, True),
("Na-Naxtra + HP + V2H (rated)", "Na-Naxtra", True, True, True),
]
print("=" * 70)
print("Hokkaido Winter EV Integrated Simulation — Asahikawa -7.5°C")
print("WLTP 500km / 60kWh | CONCEPTUAL MODEL")
print("=" * 70)
print(f"{'Configuration':<44} {'Range':>8} {'Loss':>8} {'V2H Survival':>14}")
print("-" * 70)
for label, bt, hp, v2h, boiler in configs:
r = full_winter_evaluation(bt, -7.5, has_heat_pump=hp,
has_v2h=v2h, has_oil_boiler=boiler)
surv = f"{r['survival_hours']}h" if r['survival_hours'] else "—"
print(f"{label:<44} {r['range_km']:>5}km {r['loss_pct']:>7.1f}% {surv:>14}")
Vol.4 Summary
Fact 1: At -31°C, conservative heat pump COP ≈ 1.7 — 1.7× more efficient than resistance heating. "Heat pumps fail below -20°C" is outdated technology.
Fact 2: Preconditioning with heat pump at -31°C saves 3× the energy vs direct resistance heating. Minimizes battery range loss.
Fact 3: Oil boiler + EV (V2H) achieves ~71 hours survival (conservative estimate including aux loads and inverter loss) — exceeds the 2018 Hokkaido blackout (45 hours). All-electric with AC only: ~29 hours — insufficient.
Fact 4: Arrow ③ (V2H disaster subsidy) justification: oil boiler + V2H tripling survival time versus all-electric is the physical basis for the policy.
Series Structure
| Vol. | Topic | Keywords |
|---|---|---|
| Vol.1 | Cold-climate battery physics | Arrhenius · NAF · Five Arrows |
| Vol.2 | Sodium-ion batteries | Naxtra · Solvation energy |
| Vol.3 | Solid-state batteries | The solid paradox · Interface resistance |
| Vol.4 (this) | Operation engineering | Heat pump COP · Preconditioning · V2H |
| Vol.5 | Charging infrastructure | Norway comparison · Michi-no-Eki |
| Vol.6 | Policy proposal (final) | Five Arrows · Cost · KPIs |
MIT License — All code and concepts free to use, modify, distribute.
Zenodo DOI: 10.5281/zenodo.18691357 · dosanko_tousan + Claude (claude-sonnet-4-6)
"Buy a better battery" is necessary. "Use it right" makes it work in Hokkaido's winter.
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