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Power divider ( Arbitrary Termination Impedance, Arbitrary Power Division ). 2004-21566 유지호. Contents. Necessity of the power divider Problems of conventional power dividers Size reduction technique Arbitrary termination Impedance technique Arbitrary power division technique

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Presentation Transcript
slide1

Power divider

( Arbitrary Termination Impedance,

Arbitrary Power Division )

2004-21566

유지호

slide2

Contents

  • Necessity of the power divider
  • Problems of conventional power dividers
  • Size reduction technique
  • Arbitrary termination Impedance technique
  • Arbitrary power division technique
  • Conclusion
slide3

Necessity of the power divider

power combining

in phase or out of phase

slide4

Problems of conventional power dividers

  • Large size at UHF or VHF band.
  • Designed to match 50 Ohm termination. ( Additional matching networks are necessary. - Increase system size )
  • Symmetry -> Only equal power division ratio.
slide5

Size reduction technique (1) –> MTT-Trans (1991)

A-A’ : symmetrical axis

ring hybrid’ scattering matrix

Isolation

slide6

Size reduction technique (1) –> MTT-Trans (1991)

A-A’ : symmetrical axis

ring hybrid’ scattering matrix

  • Find S-parameter
  • Isolation : S31=S42=0 at f=f0
  • 3dB output power division
  • -> |S21|=|S41| & |S12|=|S32|
  • Then, obtain
slide7

Size reduction technique (1) –> MTT-Trans (1991)

3dB power division & good matching

slide8

Size reduction technique (2) –> MTT-S (1989)

BUT -> 1. series L : high resistive losses

2. Same termination impedances

slide9

Size reduction technique (3) –> MTT-Trans (1994)

1 : Input

2 : +90 output

4 : -90 output

3 : isolation

1 : Input

2 : +90 output

4 : -90 output

3 : isolation

series L : 3개

series L : 1개

Reduce series L

slide10

Size reduction technique (3) –> MTT-Trans (1994)

Remove series L (1980 )

But limited to equal-power split-ring hybrid

slide11

Arbitrary termination impedances (1) –> MTT-Trans (1999)

  • Excitation at port 2 (V)
  • Transmission line Eq
  • node 1&2, node 3&1
  • (2)node Eq
  • node 1, node 2, node 2&GND, nod 2&3
  • (3)3dB power division
  • (4)

So determine optimum load

(1) ~ (4) Then,

slide12

Arbitrary termination impedances (1) –> MTT-Trans (1999)

Power division & isolation

matching

slide13

Arbitrary power division & termination impedances (2) –> MTT-Trans (1997)

Lossless ->

3 port isolation & 1 port matched ->

S31=0 & excitation for port 1 & put

wave ratio = b1 : b2 = S21 : S41

Under the assumption S31=0, the characteristic admittances Y1, Y4 determined

slide14

Arbitrary power division & termination impedances (2) –> MTT-Trans (1997)

  • excitation for port 3
  • The dummy arms Y2 and Y3 makes port 2&4 isolation
  • If isolation is not ideal -> small power flows forward to port 3
  • For these two waves to be isolated from port 1, two conditions must be satisfied.
  • The two waves must have a phase shift of 180degree against each other,
  • ->
  • The wave ratio must be b2 : b1 as shown left.
  • Reciprocal 하므로

m=n=p=k & b1:b2=1:1 => conventional ring hybrid

slide15

Arbitrary power division & termination impedances (2) –> MTT-Trans (1997)

Port 1 : n=1 -> 50 Ohm

Port 2 : m=1.1 -> 45.45 Ohm

Port 3 : p=0.7 -> 71.429 Ohm

Port 4 : k=0.8 -> 62.5 Ohm

Power spilt ratio : 2dB ( 20log(b1/b2) =2dB )

Simulation Result

S21=-2.124dB , S41=-4.124dB

S43=-2.124dB , S23=-4.124dB

S31=-158..656dB , S42=-160.656dB

Power division

Isolation

matching

slide16

Conclusion

  • Power divider’s size may be reduce
  • ( less than quarter wave line,
  • & lumped element )
  • We can remove matching network with Arbitrary termination Impedance & Arbitrary power division power divider.
  • -> realize small size system
slide17

References

  • Three-Port 3-dB Power Divider Terminated by Different Impedances and Its Application to MMIC’s , IEEE MTT Trans. 1999
  • Arbitrary Termination Impedances, Arbitrary Power Division, and Small-Sized Ring Hybrids, IEEE MTT Trans. 1997
  • Miniaturized 3-dB ring hybrid terminated by arbitrary impedances, IEEE MTT Trans. 1994
  • Design of new hybrid-ring, directional coupler using λ/8 or λ/6 sections, IEEE MTT Trans. 1991
  • 180° lumped element hybrid, IEEE MTT-S.1989
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