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T/F: feeder average consumption near peak

Short answer

FALSE. Feeder load factors are typically 0.3–0.7, so average demand is well below peak because loads vary markedly through the day. Equipment is sized for peak, and energy loss uses loss factor, not assuming peak load all day.

State whether the following statement is TRUE or FALSE and justify your answer with brief explanation: The average consumption in the feeder must be almost near to the peak demand.

FALSE.

The ratio of average demand to peak demand of a feeder is its load factor:

LF=Average demandPeak demand=Energy in period TPpeak×TLF = \frac{\text{Average demand}}{\text{Peak demand}} = \frac{\text{Energy in period } T}{P_{peak} \times T}

If average consumption were almost equal to the peak, the load factor would be close to 1, which happens only for a flat, round-the-clock load (e.g. a continuous-process industry).

Justification:

  • A distribution feeder mainly supplies domestic and commercial consumers whose use varies strongly through the day: low at night, moderate in the day, and a sharp evening peak (lighting, cooking, TV).
  • Typical feeder load factors are about 0.3–0.5 for residential/rural feeders and 0.5–0.7 for mixed urban feeders. So the average demand is usually only 30–60% of the peak.
  • Example: a feeder with a 1 MW peak and 9,600 kWh/day has an average of 400 kW, i.e. LF = 0.4.
  • This is why the feeder and transformer must be sized for the peak, not the average, and why energy loss is computed using the loss of load factor (LLF=0.3LF+0.7LF2LLF = 0.3LF + 0.7LF^2) rather than assuming peak loss all day.

A high load factor is desirable (better use of equipment, lower loss per kWh), and utilities try to raise it by demand-side management, but in practice the average is well below the peak.

✓ Answer checked by Claude Opus 5.5 (high effort)

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