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A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,,find the per unit equivalent circuit of this Transformer?
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A 20 kva 800/480 v distribution taransformer has the following resista...
Per Unit Equivalent Circuit of a Distribution Transformer
1. Per Unit System
The per unit system is a method used to analyze and compare electrical equipment by normalizing their values to a common base. It simplifies calculations and allows for easy comparison of different equipment.
2. Per Unit Calculation
To convert the resistance and reactance values of the given transformer into per unit values, we need to use the following formulas:
- Per unit resistance (puR) = R / (Base kVA^2)
- Per unit reactance (puX) = X / (Base kVA^2)
3. Base Values
Let's assume a base kVA of 20 for the given transformer. Using this base value, we can calculate the per unit values of resistance and reactance.
4. Calculations
- puRr = 32 ohms / (20 kVA^2) = 0.008 pu
- puRI = 0.05 ohms / (20 kVA^2) = 0.0000125 pu
- puXr = 45 ohms / (20 kVA^2) = 0.01125 pu
- puXs = 0.06 ohms / (20 kVA^2) = 0.000015 pu
- puRc = 250 kohms / (20 kVA^2) = 0.125 pu
- puXu = 30 kohms / (20 kVA^2) = 0.015 pu
5. Per Unit Equivalent Circuit
The per unit equivalent circuit of the distribution transformer can be represented as:
- puZ = (puRr + jpuXr) || (puRI + jpuXs) + puRc + jpuXu
By converting all the resistance and reactance values into per unit, we can simplify the analysis and modeling of the transformer in various power system studies.
1. Per Unit System
The per unit system is a method used to analyze and compare electrical equipment by normalizing their values to a common base. It simplifies calculations and allows for easy comparison of different equipment.
2. Per Unit Calculation
To convert the resistance and reactance values of the given transformer into per unit values, we need to use the following formulas:
- Per unit resistance (puR) = R / (Base kVA^2)
- Per unit reactance (puX) = X / (Base kVA^2)
3. Base Values
Let's assume a base kVA of 20 for the given transformer. Using this base value, we can calculate the per unit values of resistance and reactance.
4. Calculations
- puRr = 32 ohms / (20 kVA^2) = 0.008 pu
- puRI = 0.05 ohms / (20 kVA^2) = 0.0000125 pu
- puXr = 45 ohms / (20 kVA^2) = 0.01125 pu
- puXs = 0.06 ohms / (20 kVA^2) = 0.000015 pu
- puRc = 250 kohms / (20 kVA^2) = 0.125 pu
- puXu = 30 kohms / (20 kVA^2) = 0.015 pu
5. Per Unit Equivalent Circuit
The per unit equivalent circuit of the distribution transformer can be represented as:
- puZ = (puRr + jpuXr) || (puRI + jpuXs) + puRc + jpuXu
By converting all the resistance and reactance values into per unit, we can simplify the analysis and modeling of the transformer in various power system studies.
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A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,,find the per unit equivalent circuit of this Transformer?
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A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,,find the per unit equivalent circuit of this Transformer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,,find the per unit equivalent circuit of this Transformer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,,find the per unit equivalent circuit of this Transformer?.
A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,,find the per unit equivalent circuit of this Transformer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,,find the per unit equivalent circuit of this Transformer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 20 kva 800/480 v distribution taransformer has the following resistance and ractance Rr 32ohms,RI 0.05 ohms xr 45ohms,xs 0.06ohms,Rc 250kohms,xu 30 kohm,,find the per unit equivalent circuit of this Transformer?.
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