AGL CCR Input Power and Energy Formulas
AGL CCR energy formulas: the input power, apparent power and reactive power of a constant current regulator, and its annual energy and running cost.
The formulas
| To find | Formula |
|---|---|
| Input power | Pin = Pout / ηCCR |
| Input apparent power | S = Pin / pf |
| Input reactive power | Q = √(S² − Pin²) |
| Annual energy | E = Pin × hours |
| Annual running cost | Cost = E × tariff |
Pout is the circuit load that the regulator supplies, ηCCR its efficiency and pf its input power factor, both at the load and the brightness step that you are costing. Both fall at light load and at low steps, so use the data sheet figures for the step. The hours are the hours a year at that step, so cost each step on its own and add the results. The energy is for the regulator input only and does not include the control system, the cooling or the lamps that are not on the circuit. The tariff is per kWh in your own currency. The values are examples.
Worked example: a 3.713 kW load at 90% efficiency and a power factor of 0.9
The circuit runs for 4,380 hours a year and the tariff is 8 per kWh.
- Pin = 3,713 / 0.9 = 4,126 W
- S = 4,126 / 0.9 = 4,584 VA
- Q = √(4,584² − 4,126²) = 1,998 var
- E = 4.126 kW × 4,380 h = 18,070 kWh
- Cost = 18,070 × 8 = 144,600
The same load at three regulator efficiencies
| Efficiency | Input power | Annual energy | Annual cost |
|---|---|---|---|
| 0.85 | 4.368 kW | 19,130 kWh | 153,100 |
| 0.9 | 4.126 kW | 18,070 kWh | 144,600 |
| 0.95 | 3.908 kW | 17,120 kWh | 137,000 |
Frequently asked questions
Why is the input power higher than the output?
The regulator has losses. The input power is the output divided by the efficiency, so a 90% efficient unit draws about 11% more than it delivers.
Why does the power factor matter?
It sets the apparent power and the reactive power at the supply. A low power factor raises the current the supply must carry and can add a charge on some tariffs.
Why cost each brightness step separately?
The load, the efficiency and the power factor all change with the step, and so do the hours spent at it. One figure for all steps would be wrong.
Does this include the lamps and the control system?
No. It covers the regulator input for the one circuit. Add the control and monitoring system and any other loads separately.
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