there are four individual transformer feeder having connected loads of 250 kva, 300 kva, 350 kva, demand factor of these are 80%, 70%, 75% and 90% respectively diversity factor is 1.6 find the total demand of load and size of transformer required to supply these loads
First, calculate the individual demand of each feeder circuit, by multiplying the value of the connected loads with their respective demand factor percentages. Add up these four values to get the total demand of the load.
The size of the transformer required given a diversity factor of 1.6 is the total demand divided by 1.6
Ans
To find the total demand of load, we need to calculate the sum of the connected loads of the individual transformers.
Connected loads:
Transformer 1: 250 kVA
Transformer 2: 300 kVA
Transformer 3: 350 kVA
Transformer 4: 360 kVA
Now, let's calculate the total connected load:
Total Connected Load = 250 kVA + 300 kVA + 350 kVA + 360 kVA
Total Connected Load = 1260 kVA
Next, we need to adjust the total connected load based on the demand factors of each transformer. Multiply each transformer's connected load by its respective demand factor and sum these values:
Adjusted Load = (250 kVA x 0.8) + (300 kVA x 0.7) + (350 kVA x 0.75) + (360 kVA x 0.9)
Adjusted Load = 200 kVA + 210 kVA + 262.5 kVA + 324 kVA
Adjusted Load = 996.5 kVA
Now, we need to account for the diversity factor.
Total Demand Load = Adjusted Load x Diversity Factor
Total Demand Load = 996.5 kVA x 1.6
Total Demand Load = 1594.4 kVA
Therefore, the total demand load is 1594.4 kVA.
To determine the size of the transformer required to supply these loads, we need to consider some factors such as the load's power factor, the voltage rating of the transformers, and any other specific requirements.
Without this additional information, it is not possible to accurately determine the size of the transformer required.
To find the total demand of load and the size of the transformer required to supply these loads, you can follow these steps:
1. Calculate the demand for each transformer feeder:
- Demand = Connected Load x Demand Factor
- For the first transformer: Demand = 250 kVA x 0.8 = 200 kVA
- For the second transformer: Demand = 300 kVA x 0.7 = 210 kVA
- For the third transformer: Demand = 350 kVA x 0.75 = 262.5 kVA
- For the fourth transformer: Demand = 350 kVA x 0.9 = 315 kVA
2. Calculate the diversity demand for each transformer feeder:
- Diversity Demand = Demand x Diversity Factor
- For the first transformer: Diversity Demand = 200 kVA x 1.6 = 320 kVA
- For the second transformer: Diversity Demand = 210 kVA x 1.6 = 336 kVA
- For the third transformer: Diversity Demand = 262.5 kVA x 1.6 = 420 kVA
- For the fourth transformer: Diversity Demand = 315 kVA x 1.6 = 504 kVA
3. Calculate the total demand of the load:
- Total Demand = Sum of Diversity Demands
- Total Demand = 320 kVA + 336 kVA + 420 kVA + 504 kVA = 1580 kVA
4. Specify the size of the transformer required to supply these loads:
- The size of the transformer required should be equal to or greater than the total demand of the load. In this case, the transformer size should be at least 1580 kVA.
Therefore, the total demand of the load is 1580 kVA, and a transformer with a size of at least 1580 kVA is required to supply these loads.