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ABCD Matrix of transmison line

  1. Apr 27, 2015 #1
    Hello
    I want to obtain ABCD matrix element value.At first I tried to find A element value with boundary conditions but I don't know how can I find relationship between V(1)+ and V(1)- .
    3721568100_1430153626.jpg

    Any help appreciate
     
  2. jcsd
  3. Apr 27, 2015 #2

    rude man

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    Do you know how to determine the reflection coefficient ρ at position 1? 'Cause that's what Vo1-/Vo1+ is.
    A convenient way to find ρ is to put the source at z = 0 and the load at z = L where L is the physical length of the transmission line.
     
  4. May 4, 2015 #3
    Thank you dear rude man
    Before post this thread I think that I can use reflection coefficient too but as you know I don't have any other information before point 1 and my Z0 in this equation is unknown.
    6490641500_1430751437.jpg

     
  5. May 4, 2015 #4

    rude man

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    In post 1 you seem to state that Z0 was known. Anyway, it has to be known or you can't find the abcd parameters.
     
  6. May 4, 2015 #5
    Thank you for accompany me
    Here is my question we don't have any information before Point 1(Z1) how can define relationship between V+ and V-?
    9658672700_1430761152.jpg
     
  7. May 5, 2015 #6

    rude man

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    I'm having trouble understanding what you say and what you write.
    Let me instead suggest:
    V1 = V2+e + V2-e-jθ
    V2 = V2+ + V2-
    Γ2 = V2-/V2+ = (Z2 - Z0)/(Z2 + Z0).
    Z2 = V2/I2
    You can eliminate the + and - waves using the above.
    And there are similar equations for I1, I2+ and I2-.
    You wind up with
    V1 = AV2 + BI2
    I1 = CE2 + DI2
    where A, B, C and D contain only θ and Z0.
     
    Last edited: May 5, 2015
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