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Ansoft Designer / Ansys Designer 在线帮助文档：

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   Tapered Transmission Line, Velocity Factor (TAPV, TAPV_REF)       

Tapered Transmission Line, Velocity Factor (TAPV, TAPV_REF)

Schematic Symbol, TAPV

Schematic Symbol, TAPV (with ref node)

Notes

1. There is no restriction on the relative magnitudes of R1 and R2. If R2 > R1, then for positive P, D > 0 , where D is the taper rate; conversely, if R2 < R1, then for positive P, D < 0.

2. Implemented as an electrical model only.

3. The exponential impedance tapered transmission line is electrically modeled by assuming the series impedance and shunt conductance per unit length:







where:

D is the taper rate
Z(0) =R+jwL
ω =2pf
f is the frequency
Y(0) = G+jwC, with
R series resistance per unit length at x=0,
L series inductance per unit length at x=0,
G shunt conductance per unit length at x=0,
C shunt capacitance per unit length at x=0.

4. The tapered line is a high-pass structure that has a cut-off frequency which, for a lossless line (R=0, G=0), is given by




, where:


IR _,


ZC(x)

P physical length,

up _,

ZC(x) characteristic impedance,
IR impedance ratio,
e_R relative dielectric constant.

5. The input parameters for the electrical model are:

Characteristic impedance at x=0 for lossless line,

Characteristic impedance at x=P for lossless line,

P Physical length
V Relative phase velocity (=₎

A Attenuation in dB per unit length.

Netlist Form

TAPV:NAME n1 n2 [n3 n4] R1=val R2=val P=val V=val [A=val]

Netlist Example

Component TAPV:
TAPV:TAPV1 1 2 R1=600 R2=150 P=100IN V=0.5

Component TAPV_Ref:
TAPV:TAPV1 1 2 3 4 R1=600 R2=150 P=100IN V=0.5

References

1. Charles R. Burrows, “The Exponential Transmission Line,” Bell System Technical Journal, vol. 37, pp. 555-573; October 1938.

2. Robert P. Arnold and William L. Bailey, “Match Impedances with Tapered Lines,” Electronic Design, vol. 12, pp. 136-139; June 7, 1974.

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