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Find the z-parameters of the two-port network

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Reference no: EM13824505

1. Find the z-parameters of the two-port network given in FIGURE 1.

935_Find the z-parameters.png

2. (a) A transmission line has a length, l, of 0.4λ. Determine the phase change, βl, that occurs down the line.

(b) A 50 ? lossless transmission line of length 0.4λ is terminated in a load of (40 + j30) ?. Determine, using the equation given below, the input impedance to the line.

Zin = Zo (ZL cosβl + jZ0 sinβl/Zo cosβl + jZL sinβl)

3. (a) State what is meant by a ‘distortionless' and a ‘lossless' transmission line.

(b) A transmission line has the primary coefficients as given in TABLE A. Determine the line's secondary coefficients Zo, α and β at a frequency of 1 GHz.

4. Calculate the insertion loss of the T-network of FIGURE 2, given the values in the table. (Use equation (6) of Lesson 3.) The transmission matrix for the T- network is:

1233_Determine the phase change.png

5. FIGURE 5(a) represents a 50 Hz, high-voltage, transmission line. The relationships between the sending and receiving end voltages and currents are given by the complex ABCD equations:

Vs = VR(A1+ jA2) + IR(B1+ jB2)

Is = VR(C1+ jC2) + IR(D1+ jD2)

where the subscripts ‘S' and ‘R' are for the sending-end and receiving- end respectively.

(a) Given the parameter values in TABLE C and an open-circuit received voltage measured as 88.9 kV, calculate the values of VS and IS and hence the power (PSO) absorbed from the supply by the transmission line on open circuit.

(b) If the line is modelled by the T-circuit of FIGURE 3(b), see if you can estimate the primary line coefficients R, L, G and C. The line is 50 km long.

1288_Determine the phase change1.png

Reference no: EM13824505

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