Find the real power absorbed by the load in Fig. 12.58.Figure 12.58For Prob.12.39.

Apply Kirchhoff’s current to the mesh 1.

…… (1)

Apply Kirchhoff’s current to the mesh 2.

…… (2)

Apply Kirchhoff’s current to the mesh 3.

…… (3)

Equations (1), (2) and (3) in matrix form is,

The MATLAB code to solve the three equations is,

>> A=[18-j*6 -8+j*6 -5;-8+j*6 22-j*3 -10;-5 -10 20];

>> B=[100;0;-50-j*86.6];

>> C=inv(A)*B

C =

5.2416 - 4.1434i

1.4858 - 6.6940i

-0.4467 - 8.7129i

Thus,

The direction of the phase currents is assumed.

From Figure 1, calculate the value of current, .

From Figure 1, calculate the value of current, .

From Figure 1, calculate the value of current, .

Thus, the real power absorbed by the load is.