ट्रांसफार्मर परीक्षण के संबंध में निम्नलिखित कथनों पर विचार कीजिए:
1. ओपन-सर्किट परीक्षण रेटेड वोल्टेज पर कोर हानि और मैग्नेटाइज़िंग करंट ज्ञात करने के लिए किया जाता है।
2. शॉर्ट-सर्किट परीक्षण से ट्रांसफार्मर की कॉपर हानि और समतुल्य इम्पीडेंस ज्ञात की जाती है।
3. ओपन-सर्किट परीक्षण में प्राइमरी वाइंडिंग में रेटेड करंट बहता है।
4. शॉर्ट-सर्किट परीक्षण में वाइंडिंग में रेटेड करंट प्रवाहित करने के लिए कम वोल्टेज लगाया जाता है।
उपरोक्त में से कौन-सा/से कथन सही है/हैं?
उत्तर और चरणबद्ध हल
OC और SC परीक्षण पूर्ण लोड लगाए बिना हानि घटक अलग करते हैं। OC शंट/कोर व्यवहार, SC श्रेणी/लीकेज व्यवहार दर्शाता है। मुख्य संबंध: OC: P0 ≈ Pi; रेटेड करंट पर SC: Psc ≈ Pcu,FL; Zeq = Vsc/Isc।
परीक्षा फोकस: OC → रेटेड वोल्टेज, कम करंट, कोर हानि। SC → रेटेड करंट, कम वोल्टेज, कॉपर हानि। सामान्य गलती: OC में रेटेड करंट मानना।
विस्तृत हल (मूल भाषा में)
Statement-wise Verification
- Statement 1 - Correct.
The open-circuit test is conducted to determine core losses and magnetizing current at rated voltage conditions.
In the OC test the secondary is open and rated voltage is applied to the energized side; input power is approximately core loss because current is small. - Statement 2 - Correct.
The short-circuit test is used to determine copper losses and equivalent impedance of the transformer.
In the SC test a small applied voltage produces rated current; input power at rated current is approximately full-load copper loss and measured V/I gives equivalent impedance. - Statement 3 - Incorrect.
In the open-circuit test, rated current flows in the primary winding during the test.
Open-circuit current is only a small percentage of rated current, not rated current. - Statement 4 - Correct.
In the short-circuit test, a reduced voltage is applied to circulate rated current in the windings.
Only a reduced fraction of rated voltage is needed during the SC test to circulate rated current because transformer leakage impedance is small.
Core Concept
OC and SC tests separate transformer loss components without loading the transformer fully. OC emphasizes shunt/core behavior; SC emphasizes series/leakage behavior. This is why they can be used to predict regulation and efficiency economically.
Formula / Key Relationship
OC: P0 ≈ Pi(core). SC at rated current: Psc ≈ Pcu,FL; Zeq = Vsc/Isc; Req=Psc/Isc².
Step-by-Step Check
Test conditions, current magnitudes and power readings independently agree with statements 1, 2 and 4 and reject 3. Option A exactly matches.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2, 4. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1, 4. Option D is incorrect because it includes incorrect statement(s) 3.
Answer-Key Verification Note
The uploaded provisional key marks C . After independent technical verification, the defensible answer is A . This discrepancy is stated explicitly rather than silently copying the provisional key.
Exam Shortcut / Approach
OC → rated voltage, small current, core loss. SC → rated current, small voltage, copper loss.
Common Mistake
Confusing “rated voltage” in OC with “rated current”; the OC current is deliberately small.
Quick Revision
Open-Circuit and Short-Circuit Tests is linked with Transformer Tests, Transformers and Electrical Machines. OC → rated voltage, small current, core loss. SC → rated current, small voltage, copper loss.
Consider the following statements regarding Transformer Testing:
1. The open-circuit test is conducted to determine core losses and magnetizing current at rated voltage conditions.
2. The short-circuit test is used to determine copper losses and equivalent impedance of the transformer.
3. In the open-circuit test, rated current flows in the primary winding during the test.
4. In the short-circuit test, a reduced voltage is applied to circulate rated current in the windings.
Which of the above statements is/are correct?
Answer & step-by-step solution
OC and SC tests separate transformer loss components without loading the transformer fully. OC emphasizes shunt/core behavior; SC emphasizes series/leakage behavior. Key relation: OC: P0 ≈ Pi(core). SC at rated current: Psc ≈ Pcu,FL; Zeq = Vsc/Isc; Req=Psc/Isc².
Exam focus: OC → rated voltage, small current, core loss. SC → rated current, small voltage, copper loss. Common trap: Confusing “rated voltage” in OC with “rated current”; the OC current is deliberately small.
Statement-wise Verification
- Statement 1 - Correct.
The open-circuit test is conducted to determine core losses and magnetizing current at rated voltage conditions.
In the OC test the secondary is open and rated voltage is applied to the energized side; input power is approximately core loss because current is small. - Statement 2 - Correct.
The short-circuit test is used to determine copper losses and equivalent impedance of the transformer.
In the SC test a small applied voltage produces rated current; input power at rated current is approximately full-load copper loss and measured V/I gives equivalent impedance. - Statement 3 - Incorrect.
In the open-circuit test, rated current flows in the primary winding during the test.
Open-circuit current is only a small percentage of rated current, not rated current. - Statement 4 - Correct.
In the short-circuit test, a reduced voltage is applied to circulate rated current in the windings.
Only a reduced fraction of rated voltage is needed during the SC test to circulate rated current because transformer leakage impedance is small.
Core Concept
OC and SC tests separate transformer loss components without loading the transformer fully. OC emphasizes shunt/core behavior; SC emphasizes series/leakage behavior. This is why they can be used to predict regulation and efficiency economically.
Formula / Key Relationship
OC: P0 ≈ Pi(core). SC at rated current: Psc ≈ Pcu,FL; Zeq = Vsc/Isc; Req=Psc/Isc².
Step-by-Step Check
Test conditions, current magnitudes and power readings independently agree with statements 1, 2 and 4 and reject 3. Option A exactly matches.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2, 4. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1, 4. Option D is incorrect because it includes incorrect statement(s) 3.
Answer-Key Verification Note
The uploaded provisional key marks C . After independent technical verification, the defensible answer is A . This discrepancy is stated explicitly rather than silently copying the provisional key.
Exam Shortcut / Approach
OC → rated voltage, small current, core loss. SC → rated current, small voltage, copper loss.
Common Mistake
Confusing “rated voltage” in OC with “rated current”; the OC current is deliberately small.
Quick Revision
Open-Circuit and Short-Circuit Tests is linked with Transformer Tests, Transformers and Electrical Machines. OC → rated voltage, small current, core loss. SC → rated current, small voltage, copper loss.
ટ્રાન્સફોર્મર પરીક્ષણ સંબંધિત નીચેના વિધાનો ધ્યાનમાં લો:
1. ઓપન-સર્કિટ પરીક્ષણ રેટેડ વોલ્ટેજ પર કોર લોસ અને મેગ્નેટાઇઝિંગ કરંટ નક્કી કરવા થાય છે.
2. શોર્ટ-સર્કિટ પરીક્ષણથી ટ્રાન્સફોર્મરનો કોપર લોસ અને સમતુલ્ય ઇમ્પિડન્સ નક્કી થાય છે.
3. ઓપન-સર્કિટ પરીક્ષણમાં પ્રાઇમરી વાઇન્ડિંગમાં રેટેડ કરંટ વહે છે.
4. શોર્ટ-સર્કિટ પરીક્ષણમાં વાઇન્ડિંગમાં રેટેડ કરંટ વહાવવા ઓછો વોલ્ટેજ લગાડવામાં આવે છે.
ઉપરોક્તમાંથી કયું/કયા વિધાન સાચું/સાચા છે?
જવાબ અને પગલાવાર ઉકેલ
OC અને SC પરીક્ષણ સંપૂર્ણ લોડ વગર લોસ ઘટકો અલગ કરે છે. OC શન્ટ/કોર વર્તન, SC શ્રેણી/લીકેજ વર્તન દર્શાવે છે. મુખ્ય સંબંધ: OC: P0 ≈ Pi; રેટેડ કરંટ પર SC: Psc ≈ Pcu,FL; Zeq = Vsc/Isc.
પરીક્ષા મુદ્દો: OC → રેટેડ વોલ્ટેજ, ઓછો કરંટ, કોર લોસ. SC → રેટેડ કરંટ, ઓછો વોલ્ટેજ, કોપર લોસ. સામાન્ય ભૂલ: OC માં રેટેડ કરંટ માનવો.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Statement-wise Verification
- Statement 1 - Correct.
The open-circuit test is conducted to determine core losses and magnetizing current at rated voltage conditions.
In the OC test the secondary is open and rated voltage is applied to the energized side; input power is approximately core loss because current is small. - Statement 2 - Correct.
The short-circuit test is used to determine copper losses and equivalent impedance of the transformer.
In the SC test a small applied voltage produces rated current; input power at rated current is approximately full-load copper loss and measured V/I gives equivalent impedance. - Statement 3 - Incorrect.
In the open-circuit test, rated current flows in the primary winding during the test.
Open-circuit current is only a small percentage of rated current, not rated current. - Statement 4 - Correct.
In the short-circuit test, a reduced voltage is applied to circulate rated current in the windings.
Only a reduced fraction of rated voltage is needed during the SC test to circulate rated current because transformer leakage impedance is small.
Core Concept
OC and SC tests separate transformer loss components without loading the transformer fully. OC emphasizes shunt/core behavior; SC emphasizes series/leakage behavior. This is why they can be used to predict regulation and efficiency economically.
Formula / Key Relationship
OC: P0 ≈ Pi(core). SC at rated current: Psc ≈ Pcu,FL; Zeq = Vsc/Isc; Req=Psc/Isc².
Step-by-Step Check
Test conditions, current magnitudes and power readings independently agree with statements 1, 2 and 4 and reject 3. Option A exactly matches.
Why the Other Options Are Wrong
Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2, 4. Option C is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1, 4. Option D is incorrect because it includes incorrect statement(s) 3.
Answer-Key Verification Note
The uploaded provisional key marks C . After independent technical verification, the defensible answer is A . This discrepancy is stated explicitly rather than silently copying the provisional key.
Exam Shortcut / Approach
OC → rated voltage, small current, core loss. SC → rated current, small voltage, copper loss.
Common Mistake
Confusing “rated voltage” in OC with “rated current”; the OC current is deliberately small.
Quick Revision
Open-Circuit and Short-Circuit Tests is linked with Transformer Tests, Transformers and Electrical Machines. OC → rated voltage, small current, core loss. SC → rated current, small voltage, copper loss.