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Published byGregory Perkins Modified over 6 years ago
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Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics for Electrical and Computer Engineering by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign Urbana, Illinois, USA Amrita Viswa Vidya Peetham, Coimbatore July 10 – August 11, 2006
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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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