AC मशीन वाइंडिंग के संबंध में निम्नलिखित कथनों पर विचार कीजिए:
1. AC मशीनों में हार्मोनिक घटाने और लगभग साइनसॉइडल EMF तरंग पाने के लिए वितरित (distributed) वाइंडिंग का उपयोग होता है।
2. पिच फैक्टर कुंडलियों की शॉर्ट-पिचिंग का प्रभाव दर्शाता है और सामान्यतः प्रेरित EMF का परिमाण घटाता है।
3. संकेंद्रित (concentrated) वाइंडिंग स्वाभाविक रूप से पूर्णतः साइनसॉइडल प्रेरित EMF देती है।
4. AC मशीनों में वाइंडिंग फैक्टर, पिच फैक्टर और डिस्ट्रीब्यूशन फैक्टर का गुणनफल है।
उपरोक्त में से कौन-सा/से कथन सही है/हैं?
उत्तर और चरणबद्ध हल
वितरित और शॉर्ट-पिच्ड वाइंडिंग तरंग गुणवत्ता सुधारने और चयनित हार्मोनिक दबाने के लिए जानबूझकर चुनी जाती हैं। शॉर्ट पिचिंग पिच फैक्टर kp द्वारा मूल EMF थोड़ा घटाती है; स्लॉट में वितरण डिस्ट्रीब्यूशन फैक्टर kd देता है। मुख्य संबंध: k_w=k_p k_d; k_p=cos(α/2)।
परीक्षा फोकस: वाइंडिंग फैक्टर सामान्यतः 1 से कम। सामान्य गलती: संकेंद्रित वाइंडिंग साइनसॉइडल EMF की गारंटी नहीं देती।
विस्तृत हल (मूल भाषा में)
Statement-wise Verification
- Statement 1 - Correct.
Distributed windings are used in AC machines to reduce harmonic content and produce a nearly sinusoidal EMF waveform.
Distributed and short-pitched AC windings are deliberate design choices that improve waveform quality and suppress selected harmonics. - Statement 2 - Correct.
The pitch factor accounts for the effect of short-pitching of coils and usually reduces the magnitude of induced EMF.
Short pitching reduces the fundamental induced EMF slightly through pitch factor kp - Statement 3 - Incorrect.
Concentrated windings inherently produce a perfectly sinusoidal induced EMF waveform.
Concentrated windings tend to contain more spatial harmonics; distributed windings are used to improve the waveform - Statement 4 - Correct.
The winding factor is defined as the product of pitch factor and distribution factor in AC machines.
Short pitching reduces the fundamental induced EMF slightly through pitch factor kp; distribution across slots introduces distribution factor kd.
Core Concept
Distributed and short-pitched AC windings are deliberate design choices that improve waveform quality and suppress selected harmonics. Short pitching reduces the fundamental induced EMF slightly through pitch factor kp; distribution across slots introduces distribution factor kd. The combined winding factor is kw=kp·kd.
Formula / Key Relationship
k_w=k_p k_d; k_p=cos(α/2) for chording angle α.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1, 4. Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2, 4. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
Winding factor is normally less than 1.
Common Mistake
A concentrated winding does not inherently guarantee a sinusoidal EMF.
Quick Revision
Pitch Distribution and Winding Factors is linked with Machine Windings, AC Machines and Electrical Machines. Winding factor is normally less than 1.
Consider the following statements regarding AC Machine Windings:
1. Distributed windings are used in AC machines to reduce harmonic content and produce a nearly sinusoidal EMF waveform.
2. The pitch factor accounts for the effect of short-pitching of coils and usually reduces the magnitude of induced EMF.
3. Concentrated windings inherently produce a perfectly sinusoidal induced EMF waveform.
4. The winding factor is defined as the product of pitch factor and distribution factor in AC machines.
Which of the above statements is/are correct?
Answer & step-by-step solution
Distributed and short-pitched AC windings are deliberate design choices that improve waveform quality and suppress selected harmonics. Short pitching reduces the fundamental induced EMF slightly through pitch factor kp; distribution across slots introduces distribution factor kd. Key relation: k_w=k_p k_d; k_p=cos(α/2) for chording angle α.
Exam focus: Winding factor is normally less than 1. Common trap: A concentrated winding does not inherently guarantee a sinusoidal EMF.
Statement-wise Verification
- Statement 1 - Correct.
Distributed windings are used in AC machines to reduce harmonic content and produce a nearly sinusoidal EMF waveform.
Distributed and short-pitched AC windings are deliberate design choices that improve waveform quality and suppress selected harmonics. - Statement 2 - Correct.
The pitch factor accounts for the effect of short-pitching of coils and usually reduces the magnitude of induced EMF.
Short pitching reduces the fundamental induced EMF slightly through pitch factor kp - Statement 3 - Incorrect.
Concentrated windings inherently produce a perfectly sinusoidal induced EMF waveform.
Concentrated windings tend to contain more spatial harmonics; distributed windings are used to improve the waveform - Statement 4 - Correct.
The winding factor is defined as the product of pitch factor and distribution factor in AC machines.
Short pitching reduces the fundamental induced EMF slightly through pitch factor kp; distribution across slots introduces distribution factor kd.
Core Concept
Distributed and short-pitched AC windings are deliberate design choices that improve waveform quality and suppress selected harmonics. Short pitching reduces the fundamental induced EMF slightly through pitch factor kp; distribution across slots introduces distribution factor kd. The combined winding factor is kw=kp·kd.
Formula / Key Relationship
k_w=k_p k_d; k_p=cos(α/2) for chording angle α.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1, 4. Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2, 4. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
Winding factor is normally less than 1.
Common Mistake
A concentrated winding does not inherently guarantee a sinusoidal EMF.
Quick Revision
Pitch Distribution and Winding Factors is linked with Machine Windings, AC Machines and Electrical Machines. Winding factor is normally less than 1.
AC મશીન વાઇન્ડિંગ સંબંધિત નીચેના વિધાનો ધ્યાનમાં લો:
1. AC મશીનોમાં હાર્મોનિક ઘટાડવા અને લગભગ સાઇનુસોઇડલ EMF તરંગ મેળવવા વિતરિત (distributed) વાઇન્ડિંગ વપરાય છે.
2. પિચ ફેક્ટર ગૂંચળાંની શોર્ટ-પિચિંગની અસર દર્શાવે છે અને સામાન્ય રીતે પ્રેરિત EMF નું માન ઘટાડે છે.
3. કેન્દ્રિત (concentrated) વાઇન્ડિંગ સ્વાભાવિક રીતે સંપૂર્ણ સાઇનુસોઇડલ પ્રેરિત EMF આપે છે.
4. AC મશીનોમાં વાઇન્ડિંગ ફેક્ટર એ પિચ ફેક્ટર અને ડિસ્ટ્રિબ્યુશન ફેક્ટરનો ગુણાકાર છે.
ઉપરોક્તમાંથી કયું/કયા વિધાન સાચું/સાચા છે?
જવાબ અને પગલાવાર ઉકેલ
વિતરિત અને શોર્ટ-પિચ્ડ વાઇન્ડિંગ તરંગની ગુણવત્તા સુધારવા અને પસંદગીના હાર્મોનિક દબાવવા ઇરાદાપૂર્વક પસંદ કરાય છે. શોર્ટ પિચિંગ પિચ ફેક્ટર kp વડે મૂળ EMF થોડું ઘટાડે છે; સ્લોટમાં વિતરણ ડિસ્ટ્રિબ્યુશન ફેક્ટર kd આપે છે. મુખ્ય સંબંધ: k_w=k_p k_d; k_p=cos(α/2).
પરીક્ષા મુદ્દો: વાઇન્ડિંગ ફેક્ટર સામાન્ય રીતે 1 કરતાં ઓછો. સામાન્ય ભૂલ: કેન્દ્રિત વાઇન્ડિંગ સાઇનુસોઇડલ EMF ની ખાતરી આપતું નથી.
વિગતવાર ઉકેલ (મૂળ ભાષામાં)
Statement-wise Verification
- Statement 1 - Correct.
Distributed windings are used in AC machines to reduce harmonic content and produce a nearly sinusoidal EMF waveform.
Distributed and short-pitched AC windings are deliberate design choices that improve waveform quality and suppress selected harmonics. - Statement 2 - Correct.
The pitch factor accounts for the effect of short-pitching of coils and usually reduces the magnitude of induced EMF.
Short pitching reduces the fundamental induced EMF slightly through pitch factor kp - Statement 3 - Incorrect.
Concentrated windings inherently produce a perfectly sinusoidal induced EMF waveform.
Concentrated windings tend to contain more spatial harmonics; distributed windings are used to improve the waveform - Statement 4 - Correct.
The winding factor is defined as the product of pitch factor and distribution factor in AC machines.
Short pitching reduces the fundamental induced EMF slightly through pitch factor kp; distribution across slots introduces distribution factor kd.
Core Concept
Distributed and short-pitched AC windings are deliberate design choices that improve waveform quality and suppress selected harmonics. Short pitching reduces the fundamental induced EMF slightly through pitch factor kp; distribution across slots introduces distribution factor kd. The combined winding factor is kw=kp·kd.
Formula / Key Relationship
k_w=k_p k_d; k_p=cos(α/2) for chording angle α.
Why the Other Options Are Wrong
Option A is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 1, 4. Option B is incorrect because it includes incorrect statement(s) 3 and omits correct statement(s) 2, 4. Option D is incorrect because it includes incorrect statement(s) 3.
Exam Shortcut / Approach
Winding factor is normally less than 1.
Common Mistake
A concentrated winding does not inherently guarantee a sinusoidal EMF.
Quick Revision
Pitch Distribution and Winding Factors is linked with Machine Windings, AC Machines and Electrical Machines. Winding factor is normally less than 1.