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5.4 Sizing: capacity, running hours and storage trade-off

Key idea: Hot water sizing is a trade-off — a bigger tank lets a smaller heat pump run longer hours.

Hot water demand is peaky. A hotel uses most of its water 6–9 am and 7–10 pm. A geyser meets a peak with high power. A heat pump meets it with stored hot water, filled slowly over many hours. The tank is a battery of heat.

Three steps:

  1. Find daily hot water energy.
  2. Choose running hours (typically 8–16 h per day for hot water; more hours means a smaller unit).
  3. Size storage to cover the peak that the heat pump cannot meet in real time.

Equation

Equation

Three ways to size the same hotel load
Three ways to size the same hotel load

Worked example — 40-room hotel in Pune

Load: 40 rooms × 2 guests × 60 L at 60 °C = 4,800 L/day plus kitchen 1,200 L = 6,000 L/day. Cold water 25 °C (typical Pune winter). ΔT = 35 K. Eday = 6,000 × 4.186 × 35 / 3600 = 244 kWh/day. Morning peak: 50 % of daily use in 3 hours = 122 kWh. Usable fraction of tank (stratification and mixing) η = 0.8 (typical 0.75–0.9).

Option Running hours HP size HP output in 3 h peak Energy tank must hold Tank volume
A — big HP 8 h 244/8 = 30.5 kW → 32 kW 96 kWh 122 − 96 = 26 kWh 26×3600/(4.186×35×0.8) ≈ 800 L → 1,000 L
B — balanced 12 h 244/12 = 20.3 kW → 21 kW 63 kWh 59 kWh ≈ 1,800 L → 2,000 L
C — small HP 16 h 244/16 = 15.3 kW → 16 kW 48 kWh 74 kWh ≈ 2,260 L → 2,500 L

Running cost is the same for all three if COP is equal: 244 kWh ÷ COP 3.8 = 64 kWh electricity/day × ₹9 = ₹578/day (example rate). Option B is usually best: moderate tank, room to recover if a second peak comes early, and some spare hours for derating. Check: the evening peak must be recovered in the hours between peaks. Option C needs 74 kWh ÷ 16 kW ≈ 4.6 h refill time — fine if peaks are 10 h apart.

Remember

  • Energy per day sets total work; running hours set machine size.
  • Storage covers what the machine cannot deliver during the peak.
  • Leave 20–30 % spare hours for derating and defrost.
  • Check recovery time between peaks.
Field tip: Ask the client for water meter readings, not guesses; hotels often use 40–80 L per guest at 60 °C.

Hot water sizing is a trade-off — a bigger tank lets a smaller heat pump run longer hours.

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