This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: 1 Impedance Matching Circuits Lumped Element Matching Network Transmission Line Elements based Matching Network Single Stub Matching Quarter-wave transformer L Section Matching Network Double Stub Matching Multisection Transformers Tapered Lines IM 1 IM 2 IM 2.1 IM 2.2 IM 2.3 IM 2.4 IM 1.1 IM 2.5 IM Shunt Stubs Series Stubs IM 2.1.1 IM 2.1.2 Topic: IMPEDANCE MATCHING CIRCUITS Concepts: Single-Stub Impedance matching (Pozar Sec. 5.2), Double-Stub Impedance Matching (Pozar Sec. 5.3), Quarter-Wave Transformer (Pozar Section 5.4), Two Design Parameters: Stub Location d Stub length l Single-Stub Matching: Shunt Stubs IM 2.1.1 t jX R j Z t jZ jX R Z Z L L L L ) ( ) ( + + + + = Z jB G Y 1 = + = 2 2 2 ) ( ) 1 ( t Z X R t R G L L L + + + = [ ] 2 2 2 ) ( ) )( ( t Z X R Z t Z X t X Z t R B L L L L L + + + = o o Z Y G 1 = = ) ( 2 ) ( 2 2 2 = + L L L L L X R Z R t Z X t Z R Z ( ) [ ] 2 2 for / Z R Z R Z X R Z R X t L L L L L L + = ( ) &lt; + = for t , t tan 2 1 for t , t tan 2 1 1 1 d Solving for t Solutions for d B B s = = = 1 1 tan 2 1 tan 2 1 Y B Y B s l Stub susceptance Open-circuited Stub Short-circuited Stub For matching For matching d t tan = Where L L L L jX R Y Z + = = 1 = = B Y B Y s s 1 1 tan 2 1 tan 2 1 l 2 Smith Chart : Resistance and Reactance circles Smith Chart (Z-Chart) Impedance Plane Constant Resistance Circles Constant Reactance Circles Z-Chart (Original Smith Chart) Y-Chart (180 anticlockwise rotation of Smith Chart) 1 + j x circle on impedance chart Toward Generator Toward Load jx r z + = jb g y + = 1 + j b circle on admittance chart Toward Generator Toward Load Toward Generator Toward Load 3 / 2 3 / 1 j y = 1 + j...
View Full Document
This note was uploaded on 12/19/2009 for the course ELECTRONIC elm 421 taught by Professor Arifergin during the Fall '09 term at Gebze Institute of Technology.
- Fall '09