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jangyasinni
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Asked: 2024-08-18T23:37:30+05:30 In:

A single phase inverter gives rms value of output voltage as 115 V and the fundamental output voltage of as 103.5 V. Find the THD (Total Harmonic Distortion).

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0%a) 0.4 % ( 0 voters )
0%b) 40.8 % ( 0 voters )
100%c) 48.3 % ( 1 voter )
0%d) 4.83 % ( 0 voters )
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    2 Answers

    1. Quearn
      Best Answer
      Quearnist

      To calculate the Total Harmonic Distortion (THD) from the given root mean square (RMS) output voltage and fundamental output voltage, we can use the following formula:

      [

      THD = sqrt{left(frac{V_{harmonic}}{V_{fundamental}}right)^2} times 100 %

      ]

      Where:

      – (V_{harmonic}) is the total RMS voltage of all harmonic components.

      – (V_{fundamental}) is the fundamental output voltage.

      Given:

      – (text{RMS Voltage} = 115 , V)

      – (text{Fundamental Voltage} = 103.5 , V)

      To find (V_{harmonic}):

      [

      V_{total}^2 = V_{fundamental}^2 + V_{harmonic}^2

      ]

      [

      115^2 = 103.5^2 + V_{harmonic}^2

      ]

      Calculating:

      [

      13225 = 10710.25 + V_{harmonic}^2

      ]

      [

      V_{harmonic}^2 = 13225 – 10710.25 = 2514.75

      ]

      [

      V_{harmonic} = sqrt{2514.75} approx 50.15 , V

      ]

      Now, substituting (V_{harmonic}) into the THD formula:

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    2. jangyasinni
      Teacher

      c

      Explanation:

      V

      r = 115 V and V

      1 = 103.5 V

      THD =[ (V

      r

      2 – V

      1

      2

      )

      1/2

      / V

      1 ] x 100 %

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