Q-factor and Inductance Calculation from S11 parameter in 1 port mode
I would like to calculate the Q-factor and Inductance of my inductor from the S-Parameters(in dB) which I got from the network analyzer. Could anyone help me with this?
Hi
https://abhargava.files.wordpress.co...alculation.pdf
Have a look at this I think it will solve your issue or at least will give you idea....
I'm not sure if this is realistic (or in any case, very accurate) with a one port setup. As the above linked article implies, you need to obtain a precise termination impedance, which is not easy. Can you do a two-port setup?
If the inductor characteristic impedance |ωL| is e.g. in a 5 to 500 ohm range, this can work well.
1-port impedance load is 50 Ohm's
Qfac is straight forward calculation of XL/R i.e. reactive component divided by resistive value.
SRF depends on fixture stray capacitance and Choke self capacitance.
At resonance, return loss has negative peak where maximum the Q= f/BW for BW = width of f band for delta 3dB of the resonance band from peak.
But this includes Q of parasitic C, so Q result of C must be much better than L to get good results.
1/Q=1/QL + 1/Qc. such that 1/Q becomes 1/QL.
Hi Q caps depend on f and desired Q , such as mica or plastic caps to measure Q of L at desired operating f.
I used this set to measure low value inductors. I calibrated the VNA with these to 1 GHz using an S-Parameter test set set to S11 and using the Smith chart overlay. The VNA would also give you the self-resonante frequency of the inductor and also the real part, which you could use to get a good idea of the component Q. The boards measure 1.5" square and the connector is an SMA. They served me well.
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