Asked Mar 12, 2020
  1. The following three-phase loads are connected to a short transmission line with impedance per wire of 4 + j7 ohms: Load 1: Resistive load drawing 80 A, Load 2: Capacitor drawing 60 A, Load 3: Inductive load drawing 50 A at 80 %          power factor. What is the sending end      power factor for a receiving end voltage of 34.5 kV?

         a. 96 % b. 97 % c. 98 % d. 99 %


Expert Answer

Step 1

From the given load information calculate the total load current.

  • The power dissipated by the resistive load will be purely active because the power factor is unity.
  • There will be reactive power injected by the capacitor.
  • Active and reactive power drawn by the inductive load.
Step 2

Calculate the total load current.

Electrical Engineering homework question answer, step 2, image 1

Step 3

For the short transmission line, the relation between the current is,

Electrical Engineering homework question answer, step 3, image 1

The sending end voltage is given by the following expression,

Electrical Engineering homework question answer, step 3, image 2

Substitute Z as the transmission line impedance.

Electrical Engineering homework question answer, step 3, image 3


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