400 V, 50 Hz, 240 kW के लोड के शक्ति गुणांक को 0.8 से एक तक सुधारने के लिए किस रेटिंग के शंट संधारित्र की आवश्यकता है?

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper
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  1. 180 kVAr
  2. 300 kVA
  3. 300 kVAr
  4. 180 kVA

Answer (Detailed Solution Below)

Option 1 : 180 kVAr
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सिद्धांत

शक्ति गुणांक में सुधार के लिए आवश्यक शंट संधारित्र की रेटिंग इस प्रकार दी गई है:

\(Q=P({tanϕ_1-tanϕ_2})\)

जहाँ, Q = प्रतिक्रियाशील शक्ति

P = सक्रिय शक्ति

ϕ1 = शक्ति गुणांक सुधार से पहले शक्ति गुणांक कोण

ϕ2 = शक्ति गुणांक सुधार के बाद शक्ति गुणांक कोण

गणना

दिया गया है, P = 240 kW

cos ϕ1 = 0.8 ⇒ ϕ1 = 36.86°

cos ϕ2 = 1 ⇒ ϕ2 = 0°

\(Q=240({tan\space 36.86-tan\space 0})\)

Q = 180 kVAr

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