- 2069 Bhadra · 8 marks
Demand factor and diversity factor of substation
Short answer
An electric load centre is the point at the centroid of loads, distributing power to minimise voltage drop and losses. Demand factor of Block-1 is 200/260 = 0.769; of Block-2 is 160/240 = 0.667. Diversity factor of the substation = (200+160+150+200)/600 = 1.18.
What is electric load centre? In an industry, substation supplies power for four blocks. Block-1 has 6 no. of machines with rating of 70kW, 90kW, 20kW, 50kW, 10kW and 20kW respectively, while maximum demand of block-1 is 200kW. Block-2 has 5 no. of machines of 60kW, 40kW, 40kW, 70kW and 30kW and maximum demand of block-2 is 160kW. Block-3 and 4 has maximum demand of 150kW and 200kW respectively. Determine demand factor of block-1 and 2. If the maximum demand of substation is 600kW, find the diversity factor of the substation.
Electric load centre
An electric load centre is the point from which power is distributed to a group of loads, located at the centre of gravity of those loads (X = ΣPx/ΣP, Y = ΣPy/ΣP). Placing the substation there keeps LV feeders short, reducing voltage drop, losses and cable cost.
Demand factor of Block-1 and Block-2
Demand factor = Maximum demand / Connected load
Block-1 connected load
= 70 + 90 + 20 + 50 + 10 + 20 = 260 kW
DF(1) = 200 / 260 = 0.769
Block-2 connected load
= 60 + 40 + 40 + 70 + 30 = 240 kW
DF(2) = 160 / 240 = 0.667
Diversity factor of the substation
Sum of individual maximum demands
= 200 + 160 + 150 + 200 = 710 kW
Maximum demand of substation = 600 kW
Diversity factor = 710 / 600 = 1.183
Answer: Demand factor of Block-1 = 0.769, of Block-2 = 0.667; diversity factor of the substation = 1.18.
The blocks do not reach their peaks at the same time, so the substation needs to be sized for 600 kW rather than 710 kW.
✓ Answer checked by Claude Opus 5.5 (high effort)
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