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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.

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Presentation on theme: "Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics."— Presentation transcript:

1 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

2 Lines with Initial Conditions
6.5 Lines with Initial Conditions

3 Line with Initial Conditions

4

5 Example:

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7

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9

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11 Uniform Distribution

12

13 t = 0.5 mS t = 1.5 mS

14 t = 2.5 mS

15 Bounce Diagram Technique for
Uniform Distribution

16

17

18 Energy Storage in Transmission Lines
we, Electric stored energy density = We, Electric stored energy =

19 wm, Magnetic stored energy density =

20 Check of Energy Balance
Initial stored energy

21 Energy dissipated in RL

22 System in steady state at t = 0–.
Another Example: System in steady state at t = 0–.

23 t = 0–: steady state

24 t = 0+:

25 Solving, we obtain

26 Voltage G = 0 G = 0 tV = 1

27 Current G = 0, tC = 1 tCeff = 0.5 G = 0

28 t = 3 ms + : New steady state

29 t = 3 ms + :


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