How many wattmeter(s) is required to measure 6 – phase, 6 – wire without neutral wire system? 

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  1. 3
  2. 4
  3. 5
  4. 6

Answer (Detailed Solution Below)

Option 3 : 5
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Measurement of power

According to Blondel's Theorem, for the measurement of power in n-phase, n-wire without neutral, (n-1) wattmeters are required.

Therefore, for a 6-phase, 6-wire without a neutral system, a 5-wattmeter is required.

For measurement of power in n-phase, (n+1) wire with neutral, n wattmeters are required.

Additional Information For the measurement of power in the 3ϕ system, 2 wattmeters are required.

The readings of both the wattmeters are given by:

\(W_1=V_LI_Lcos(30+ϕ)\)

\(W_2=V_LI_Lcos(30-ϕ)\)

The total power is given by:

\(W=W_1+W_2=\sqrt{3}V_LI_L\space cosϕ\)

where VL and Iare line voltage and line current respectively and cosϕ is the power factor.

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