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Two single phase transformers A and B are operating in parallel having different impedance and identical x/r ratio. Impedance of A is Za and impedance of B is Zb , both sharing a load of Sl. Then the load shared by transformer B is
- a)Sl*(Zb/(Za+Z
- b))b) Sl*(Za/(Za+Zb))
- c)Sl*(Zb*Za/(Za+Zb))
- d)Sl*(Zb+Za/Zb))
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two single phase transformers A and B are operating in parallel having...
The load sharing is based on the inverse of the kVA rating.
This question is part of UPSC exam. View all Electrical Engineering (EE) courses
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Two single phase transformers A and B are operating in parallel having...
Load Sharing in Parallel Transformers
In parallel operation, two single-phase transformers A and B are connected to a common load. The impedance of transformer A is Za and the impedance of transformer B is Zb. Both transformers share a load of Sl. The objective is to determine the load shared by transformer B.
Impedance and X/R Ratio
The impedance of a transformer is a combination of its resistance and reactance. The X/R ratio represents the ratio of the reactance to the resistance in the transformer.
Load Sharing Formula
The load shared by each transformer can be determined using the formula:
Load shared by transformer = Total load * (Transformer impedance / Sum of transformer impedances)
In this case, the load shared by transformer B can be calculated using the formula:
Load shared by transformer B = Sl * (Zb / (Za + Zb))
Explanation
To understand why the correct answer is option 'B', let's break down the formula step-by-step:
1. Load shared by transformer B = Sl * (Zb / (Za + Zb))
- Sl: Total load
- Zb: Impedance of transformer B
- Za: Impedance of transformer A
2. In parallel operation, the total impedance seen by the load is the sum of the individual transformer impedances. Therefore, Za + Zb represents the total impedance of the parallel combination.
3. The load shared by transformer B is determined by dividing the impedance of transformer B (Zb) by the total impedance (Za + Zb) and multiplying it by the total load (Sl).
Key Takeaways
- When two single-phase transformers are operating in parallel, the load shared by each transformer can be determined using the formula: Load shared by transformer = Total load * (Transformer impedance / Sum of transformer impedances).
- The impedance of transformer A is Za and the impedance of transformer B is Zb.
- The load shared by transformer B is Sl * (Zb / (Za + Zb)).
- Option 'B' (Sl * (Za / (Za + Zb))) is the correct answer.
In parallel operation, two single-phase transformers A and B are connected to a common load. The impedance of transformer A is Za and the impedance of transformer B is Zb. Both transformers share a load of Sl. The objective is to determine the load shared by transformer B.
Impedance and X/R Ratio
The impedance of a transformer is a combination of its resistance and reactance. The X/R ratio represents the ratio of the reactance to the resistance in the transformer.
Load Sharing Formula
The load shared by each transformer can be determined using the formula:
Load shared by transformer = Total load * (Transformer impedance / Sum of transformer impedances)
In this case, the load shared by transformer B can be calculated using the formula:
Load shared by transformer B = Sl * (Zb / (Za + Zb))
Explanation
To understand why the correct answer is option 'B', let's break down the formula step-by-step:
1. Load shared by transformer B = Sl * (Zb / (Za + Zb))
- Sl: Total load
- Zb: Impedance of transformer B
- Za: Impedance of transformer A
2. In parallel operation, the total impedance seen by the load is the sum of the individual transformer impedances. Therefore, Za + Zb represents the total impedance of the parallel combination.
3. The load shared by transformer B is determined by dividing the impedance of transformer B (Zb) by the total impedance (Za + Zb) and multiplying it by the total load (Sl).
Key Takeaways
- When two single-phase transformers are operating in parallel, the load shared by each transformer can be determined using the formula: Load shared by transformer = Total load * (Transformer impedance / Sum of transformer impedances).
- The impedance of transformer A is Za and the impedance of transformer B is Zb.
- The load shared by transformer B is Sl * (Zb / (Za + Zb)).
- Option 'B' (Sl * (Za / (Za + Zb))) is the correct answer.
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Two single phase transformers A and B are operating in parallel having different impedance and identical x/r ratio. Impedance of A is Za and impedance of B is Zb , both sharing a load of Sl. Then the load shared by transformer B isa)Sl*(Zb/(Za+Zb))b) Sl*(Za/(Za+Zb))c)Sl*(Zb*Za/(Za+Zb))d)Sl*(Zb+Za/Zb))Correct answer is option 'B'. Can you explain this answer?
Question Description
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