Re: errors of "error" models

 

#50 : The Full Final Report 1 :
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Nominal Values Zinp = ( Rinp , Xinp )
of our Standard [ref2007box], in terms of
frequency, using [NanoVNA] and [VNA]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[NanoVNA] ~ [VNA] Comparison

#30 : our final report 1 - 6 October 2019 :
https://groups.io/g/nanovna-users/message/4179

- also @Gary O'Neil - 8 October 2019 -
https://groups.io/g/nanovna-users/message/4385


Hello,

Allow us, please, to present the steps by which we got the
results of our final report 1.

- - - - - - (c) gin&pez@arg (cc-by-4.0) 2019 : start - - - - - -

First of all, in order to set up a Somehow Reliable Comparison
between our [NanoVNA] and our [VNA], we decided to put aside
the sma/M SLO "Standards" and use our TypeN/M 50 Ohm SLO
'Standards', as well as our Standard [ref2007box], to both our
[NanoVNA] and [VNA]. So, to get the Same Reference Plane
for both instruments, we used our [sma/M-to-typeN/F 50 Ohm]
adapter directly connected to [CH0] port of [NanoVNA].

After that, since we already had our [VNA] results under these
very same SLO+[ref2007box] conditions, we used only Putty to
collect the measurements from [NanoVNA] and proceed step-by-step
to the following graphics:

I/III
The four 4 measurements : ( s, l, o, gamma ) needed
for our expression of Gamma:

#42 : The compact SLO formula for [AnyVNA]:
https://groups.io/g/nanovna-users/message/4747
12 October 2019

by using our [NanoVNA] : RED points in the following Figures,
as well as by our [VNA] : BLUE points in the same Figures :

I.1/4 : SHORT CIRCUIT Measurements : s
Magnitude : https://www.op4.eu/code/ref2007box/rN-Vb_SHO_sm_c.gsa.cc.by.4.2019.png
Argument : https://www.op4.eu/code/ref2007box/rN-Vb_SHO_sa_c.gsa.cc.by.4.2019.png

I.2/4 : (MATCHING) LOAD Measurements : l
Magnitude : https://www.op4.eu/code/ref2007box/rN-Vb_L05_la_c.gsa.cc.by.4.2019.png
Argument : https://www.op4.eu/code/ref2007box/rN-Vb_L05_lm_c.gsa.cc.by.4.2019.png

I.3/4 : OPEN CIRCUIT Measurements : o
Magnitude: https://www.op4.eu/code/ref2007box/rN-Vb_OOA_om_c.gsa.cc.by.4.2019.png
Argument : https://www.op4.eu/code/ref2007box/rN-Vb_OOA_oa_c.gsa.cc.by.4.2019.png

I.4/4 : Our Standard [ref2007box] : gamma
Magnitude: https://www.op4.eu/code/ref2007box/rN-Vb_R07_gm_c.gsa.cc.by.4.2019.png
Argument : https://www.op4.eu/code/ref2007box/rN-Vb_R07_ga_c.gsa.cc.by.4.2019.png

II/III
The Nominal Value Gamma of Our Standard [ref2007box]:

By substitution of the above measurements - from I.1/4 to I.4/4 -
to our expression:

https://www.op4.eu/code/G-mini.c.gza.cc.by.4.0.2019.png

we got for the Nominal Value Gamma of Our Standard [ref2007box],
in terms of frequency, once more:

RED points in the following Figures by using our [NanoVNA],
BLUE points in the same Figures, by using our [VNA]:

Magnitude : https://www.op4.eu/code/ref2007box/rN-Vb_R07_Gm_c.gsa.cc.by.4.2019.png
Argument : https://www.op4.eu/code/ref2007box/rN-Vb_R07_Ga_c.gsa.cc.by.4.2019.png

III
The Nominal Values of Zinp for Our Standard [ref2007box]:

By using the well-known formula :

Zinp = Zo*(1+Gamma)/(1-Gamma)

where Zinp and Gamma are, in general, Complex variables
and Zo is the Real Nominal Value = 50 Ohm

we got the two Parts of Zinp, as follows:

Real Part : https://www.op4.eu/code/ref2007box/r.ref2007box.blue.vna.red.nanovna.c.gza.cc.by.4.0.png
Imaginary Part : https://www.op4.eu/code/ref2007box/x.ref2007box.blue.vna.red.nanovna.c.gza.cc.by.4.0.png

#30 : our final report 1 - 6 October 2019 :
https://groups.io/g/nanovna-users/message/4179

- - - end : (c) gin&pez@arg (cc-by-4.0) 2019 - - - - - - - - - -

Sincerely,

gin&pez@arg

50#

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