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The Following Are The Solutions For Voltage Regulation And Efficiency Of A Transformer Copy

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POWER SYSTEM
The following are the solutions for voltage regulation and efficiency of a transformer.
1. Voltage regulation of a transformer as its loading is increased from no load to full load at
PF of 0.8 lagging, unity and 0.8 leading.
    
Primary voltage referred to the primary side.





  
 

 

   
   
   
   



 

 



 

 

  
   

For 0.8 PF lagging, the voltage regulation is calculated as follows:



  

    
  
  

    

For unity PF, the voltage regulation is:



   
  
   

For 0.8 PF leading, the voltage regulation is calculated as follows:





   
  


    

2. Efficiency of a transformer as its loading is increased from 5% loading to full load at PF
of 0.8 lagging, unity and 0.8 leading.

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Running head: POWER SYSTEM Name: Course: Instructor: Date: 2 POWER SYSTEM The following are the solutions for voltage regulation and efficiency of a transformer. 1. Voltage regulation of a transformer as its loading is increased from no load to full load at PF of 0.8 lagging, unity and 0.8 leading. 𝑉𝑝 = 2300 𝑉𝑠 = 230 𝑡ℎ𝑒𝑟𝑒𝑓𝑜𝑟𝑒 𝑡ℎ𝑒 𝑡𝑢𝑟𝑛𝑠 𝑟𝑎𝑡𝑖𝑜 (𝛼) = 2300/230 = 10 Primary voltage referred to the primary side. 𝑉𝑝 2300 = = 230 𝛼 10 𝑉𝑝 = 𝑉𝑠 + 𝐼𝑠 × (𝑅𝑒𝑞,𝑠 + 𝑗𝑋𝑒𝑞,𝑠 ) 230 = 𝑉𝑠 + 𝐼𝑠 × (0.0445 + 𝑗0.0645) 𝛼 𝑉𝑠 = 230 − 𝐼𝑠 × (0.0445 + 𝑗0.0645) 𝑉𝑝 𝛼 − 𝑉𝑠 = 𝐼𝑠 × (𝑅𝑒𝑞,𝑠 + 𝑗𝑋𝑒𝑞,𝑠 ) × 100 𝑉𝑠 𝑉𝑠 𝐼𝑠 × (𝑅𝑒𝑞,𝑠 + 𝑗𝑋𝑒𝑞,𝑠 ) = × 100 230 − 𝐼𝑠 × (0.0445 + 𝑗0.0645) For 0.8 PF lagging, the voltage regulation is calculated as follows: 𝑉𝑝 − 𝑉𝑠 𝐼𝑠 ∠ − (cos−1 (0.8)) × (0.0445 + 𝑗0.0645) 𝛼 = × 100 𝑉𝑠 230 − 𝐼𝑠 ∠ − (cos −1(0.8)) × (0.0445 + 𝑗0.0645) For unity PF, the voltage regulation is: 𝑉𝑝 𝐼𝑠 × (0.0445 + 𝑗0.0645) 𝛼 − 𝑉𝑠 = × 100 𝑉𝑠 230 − 𝐼𝑠 × (0.0445 + 𝑗0.0645) For 0.8 PF leading, the voltage regulation is calculated as follows: 𝑉𝑝 𝐼𝑠 ∠(cos−1 (0.8)) × (0.0445 + 𝑗0.0645) 𝛼 − 𝑉𝑠 = × 100 𝑉𝑠 ...
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