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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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EEE340Lecture 422 9-5 Transients on Transmission Lines 9-5.1 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)
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EEE340Lecture 423
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EEE340Lecture 424 2. Waveforms voltage May be obtained from the Lattice diagram. Near-end Far-end Middle point Numerical values Near end: V(0,t) Different
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EEE340Lecture 425 As the steady state voltage is where
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EEE340Lecture 426 Hence, This is the circuit result.
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EEE340Lecture 427 b) Far-end
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EEE340Lecture 428 Middle Point Note that at the near, far and middle point all share the same voltage.
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EEE340Lecture 429
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EEE340Lecture 4210 3. 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
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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
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EEE340Lecture 4212
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EEE340Lecture 4213
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EEE340Lecture 4214
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EEE340Lecture 4215 Open circuited,
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