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 Utilities+® User Manual
RF/Microwave Design Utility Programs
 


SINGLE-LINE MATCHING

This is a space saving narrow band technique for matching between two complex impedances, such as usually found in an interstage network. For information on how the closed form design equations came about, see Reference 1, by Microwave Software President, James J. Lev, in Appendix C. Note: Use the BACK button on your browser to return to this page.


                 Single-Line Matching

                 Calculate the Z0 and electrical length of a single transmission
                 line to match between two different complex impedances.

                 Units:  ohms,degrees

                 Note: Re Zin <> Re Z Load and both > 0.

                 Enter RL,XL (Z Load) [<Enter>=Quit] ? _


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Let's match a complex load impedance of 100+j25 ohms to a complex source of 30+j20 ohms.

Type "100,25" when asked to enter "RL,XL (Z Load)" up above, and press <Enter>. You'll next be asked:

                 Enter RI,XI (Z in)

Be careful here, its easy to jump too quick: If the source impedance is really 30+j20 ohms, we want Zin of the single-line match circuit to equal its complex conjugate impedance.

Note the use of a minus sign below to specify the conjugate impedance:

Input "30,-20" and press <Enter>.

Here is the output calculation:

                Z0      = 51.927 ohms
                Theta = 71.022 deg.

Press <Enter> to return to the Main Menu.

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