ClueLuma

On-peak runtime within an energy-cost limit calculator

Maximum on-peak running hours is calculated as [C_limit−P × H_total × r_off]/[P × (r_on−r_off)]. Use the stated system boundary and matching input units.

Hon,max=Climit−P×Htotal×roffP×(ron−roff)H_{\text{on,max}} = \frac{C_{\text{limit}} - P \times H_{\text{total}} \times r_{\text{off}}}{P \times \left(r_{\text{on}} - r_{\text{off}}\right)}

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

$
kW
h
$/kWh
$/kWh
h

Worked example

Given

  • ClimitC_{\text{limit}} = 64 $
  • PP = 50 kW
  • HtotalH_{\text{total}} = 10 h
  • roffr_{\text{off}} = 0.08 $/kWh
  • ronr_{\text{on}} = 0.2 $/kWh
Hon,max=64−50×10×0.0850×(0.2−0.08)=4H_{\text{on,max}} = \frac{64 - 50 \times 10 \times 0.08}{50 \times \left(0.2 - 0.08\right)} = 4

Symbols and units

SymbolMeaningUnit
Hon,maxH_{\text{on,max}}maximum on-peak running hoursh
ClimitC_{\text{limit}}total batch energy-cost limit$
PPconstant batch inputkW
HtotalH_{\text{total}}required total running timeh
roffr_{\text{off}}off-peak energy price$/kWh
ronr_{\text{on}}on-peak energy price$/kWh

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.