20.7.1 Model for an Electric Circuit in Phasor ^[14] Form

By application of Thevenin's theorem, the electric circuit of Figure 20.76 can be simplified ^[15] to that shown in Figure 20.77.

Figure 20.76: Electric circuit to be replaced by its Thevenin equivalent

Figure 20.77: The circuit of Figure 20.60 replaced by its Thevenin equivalent

Next, we let V _IN = V _TH, V _OUT = V _XY, Z ₁ = 112+j10, and Z ₂ = 100. Application of the voltage division expression yields

(20.60)

Now, we use the model in Figure 20.78 to convert all quantities from the rectangular to the polar form, perform the addition and multiplication operations, display the output voltage in both polar and rectangular forms, and show the output voltage on a Scope block in Figure 20.79. The Simulink blocks used for the conversions are in the Math Operations library. We can also use the conversion blocks presented in Chapter 19, Simulink Extras.

Figure 20.78: Model for the computation and display of the output voltage for the circuit in Figure 20.77

Figure 20.79: Waveform for the output voltage of model in Figure 20.78

20.7.2 Model for the Application of the...