EEE340Lecture 421 For lossy transmission line In the textbook, z’ is from the load to the generator. (9.153a) (9.153b)

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Presentation transcript:

EEE340Lecture 421 For lossy transmission line In the textbook, z’ is from the load to the generator. (9.153a) (9.153b)

EEE340Lecture Transients on Transmission Lines Reflection (Lattice) Diagrams Diagram Example V g =100V, Z g =40 , Z L =120 , Z o =60 , Find the waveform for a given location. Find the waveform for a fixed time. Solution: (9.160) (9.161)

EEE340Lecture 423

EEE340Lecture Waveforms voltage May be obtained from the Lattice diagram. Near-end Far-end Middle point Numerical values Near end: V(0,t) Different

EEE340Lecture 425 As the steady state voltage is where

EEE340Lecture 426 Hence, This is the circuit result.

EEE340Lecture 427 b) Far-end

EEE340Lecture 428 Middle Point Note that at the near, far and middle point all share the same voltage.

EEE340Lecture 429

EEE340Lecture Current Waveforms In the voltage lattice diagram, Thus far, we have been discussing the lattice diagram for a constant voltage source. Using the Heaviside step function

EEE340Lecture 4211 A pulse may be written as By subtracting the response of 1(t-t o ) from that of 1(t), we obtain the response of p(t) An arbitrary waveform can be superposed by a number of pulses

EEE340Lecture 4212

EEE340Lecture 4213

EEE340Lecture 4214

EEE340Lecture 4215 Open circuited,