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Electrical EngineeringQ&A LibraryThe one-line diagram of a three-phase power system is as shown in Figure 32Impedances are marked in per unit on a 100-MVA, 400-kV base. The load at bus 2is S2--15.93 MW-J33.4 Mvar, and at bus 3 İs S3-77 MN +jl4 Mvar. It isrequired to hold the voltage at bus 3 at 4000° kV. Working in per unit, determinethe voltage at buses 2 andV1V2V3j0.5 puj0.4 pu3Question

Asked Feb 5, 2019

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The one-line diagram of a three-phase power system is as shown in the figure attached. Impedances are marked in per unit on a 100-MVA, 400-kv base. The load at bus 2 is S(sub 2) = 15.93 MW - j33.4 Mvar, and bus 3 is S(sub 3) = 77MW + j14 Mvar. I tis required to hold the voltage at bus 3 at 400 angle 0 degrees kV. Working in per unit, determine the voltage at buses 2 and 1.

Step 1

The load at bus is S_{2}=15.93 MW-j33.4 Mvar

First converting all the values in per-unit system

The load in pu, therefore S_{2}=0.1593-j0.334 pu

S_{3}=77 MW+j14 Mvar

In pu its value is S_{3}=0.770+j0.140 pu and also calculating the current flowing into it its calculation is shown on the board:

Step 2

Now calculating the line-line voltage at bus 2 its calculation is shown on the board and also converting the pu value into kV

Therefore, the voltage at bus 2 is 440 kV

Step 3

First calculating the current flowing I2 which is shown on the board

Current flowing from 1 to 2 is...

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