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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,, what is the Transformer efficiency under the conditions of part?
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A 20 kva 800/480 v distribution taransformer has the following resista...
Transformer Efficiency Calculation
Transformers are essential in electrical distribution systems to step up or step down voltage levels efficiently. Transformer efficiency is crucial as it directly impacts the overall energy consumption and operational costs.
Given Data:
- Rated power (S) = 20 kVA
- Primary voltage (Vp) = 800 V
- Secondary voltage (Vs) = 480 V
- Resistance (Rr) = 32 ohms
- Impedance (xr) = 45 ohms
- Core loss resistance (Rc) = 250 kohms
- Magnetizing reactance (xu) = 30 kohms
Efficiency Calculation:
- Efficiency (η) = Output power / Input power
Step 1: Calculate Input Power (Pi):
- Pi = Rated power / Efficiency
- Pi = 20 kW / η
Step 2: Calculate Output Power (Po):
- Po = S * Power factor
- Po = S * cos(θ)
Step 3: Calculate Copper Losses (Pcu):
- Pcu = I^2 * Rr
- I = S / Vp
Step 4: Calculate Iron Losses (Pfe):
- Pfe = V^2 / Rc
Step 5: Calculate Efficiency (η):
- η = Po / (Po + Pcu + Pfe)
By substituting the calculated values of output power, copper losses, and iron losses into the efficiency formula, the transformer efficiency can be determined. In this case, the efficiency will depend on the losses in the transformer, which include copper losses and iron losses. Optimizing these losses through proper transformer design and operation can improve efficiency.
Transformers are essential in electrical distribution systems to step up or step down voltage levels efficiently. Transformer efficiency is crucial as it directly impacts the overall energy consumption and operational costs.
Given Data:
- Rated power (S) = 20 kVA
- Primary voltage (Vp) = 800 V
- Secondary voltage (Vs) = 480 V
- Resistance (Rr) = 32 ohms
- Impedance (xr) = 45 ohms
- Core loss resistance (Rc) = 250 kohms
- Magnetizing reactance (xu) = 30 kohms
Efficiency Calculation:
- Efficiency (η) = Output power / Input power
Step 1: Calculate Input Power (Pi):
- Pi = Rated power / Efficiency
- Pi = 20 kW / η
Step 2: Calculate Output Power (Po):
- Po = S * Power factor
- Po = S * cos(θ)
Step 3: Calculate Copper Losses (Pcu):
- Pcu = I^2 * Rr
- I = S / Vp
Step 4: Calculate Iron Losses (Pfe):
- Pfe = V^2 / Rc
Step 5: Calculate Efficiency (η):
- η = Po / (Po + Pcu + Pfe)
By substituting the calculated values of output power, copper losses, and iron losses into the efficiency formula, the transformer efficiency can be determined. In this case, the efficiency will depend on the losses in the transformer, which include copper losses and iron losses. Optimizing these losses through proper transformer design and operation can improve efficiency.
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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,, what is the Transformer efficiency under the conditions of part?
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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,, what is the Transformer efficiency under the conditions of part? 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,, what is the Transformer efficiency under the conditions of part? 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,, what is the Transformer efficiency under the conditions of part?.
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,, what is the Transformer efficiency under the conditions of part? 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,, what is the Transformer efficiency under the conditions of part? 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,, what is the Transformer efficiency under the conditions of part?.
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