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Published byHorace Holland Modified over 6 years ago
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Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, Urbana, Illinois, USA Distinguished Amrita Professor of Engineering Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India
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Lines with Initial Conditions
6.5 Lines with Initial Conditions
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Line with Initial Conditions
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Example:
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Uniform Distribution
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t = 0.5 mS t = 1.5 mS
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t = 2.5 mS
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Bounce Diagram Technique for
Uniform Distribution
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Energy Storage in Transmission Lines
we, Electric stored energy density = We, Electric stored energy =
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wm, Magnetic stored energy density =
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Check of Energy Balance
Initial stored energy
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Energy dissipated in RL
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System in steady state at t = 0–.
Another Example: System in steady state at t = 0–.
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t = 0–: steady state
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t = 0+:
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Solving, we obtain
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Voltage G = 0 G = 0 tV = 1
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Current G = 0, tC = 1 tCeff = 0.5 G = 0
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t = 3 ms + : New steady state
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t = 3 ms + :
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