Analytical Matrix Inversion in subnetwork growth (Filipsson/Compton) vs General Numerical Inversion following Hallbjörner

[zolabar]

Analytical Matrix Inversion in subnetwork growth (Filipsson/Compton) vs General Numerical Inversion following Hallbjörner

[jhillairet]

scikit.rf Network objects can be connnected effciently using the connect method, wich uses the analytical connection formulae from Filipsson/Compton.\n\nWouldn't it be possible to use this connection idea when assembling general circuits?

Maybe. To be honest I did not try. Using only connect function is not that simple when connecting N-ports with N>2, which leads me to the Hallbjörner method. Its implementation was relatively straightforward from the paper.

One other great advantage is that this method allows a direct access to the internal S parameters, and so, to internal voltages and currents at all nodes.

[arsenovic]

i have used sympy (symbolic library) and the cascade methods to do as you describe in the past. it worked great.

…

On Fri, Jan 26, 2024 at 3:16 PM Julien Hillairet ***@***.***> wrote: scikit.rf Network objects can be connnected effciently using the connect method, wich uses the analytical connection formulae from Filipsson/Compton.\n\nWouldn't it be possible to use this connection idea when assembling general circuits? Maybe. To be honest I did not try. Using only connect function is not that simple when connecting N-ports with N>2, which leads me to the Hallbjörner method. Its implementation was relatively straightforward from the paper. One other great advantage is that this method allows a direct access to the internal S parameters, and so, to internal voltages and currents at all nodes. — Reply to this email directly, view it on GitHub <#1011 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AAJL3UGOXXGBXLC5HAY6373YQQFJPAVCNFSM6AAAAABCKZH6RCVHI2DSMVQWIX3LMV43OSLTON2WKQ3PNVWWK3TUHMYTSMJSGYZTKOBVHA> . You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>

[arsenovic]

also i just saw your conformal maps library. looks cool! i have in the past tried to visualize how a two-port warps the smithchart over frequency, as an animation of conformal maps. but i did it numerically. the idea was to try and get a feel for what the 'error networks' in the calibrations were doing.

…

On Sun, Jan 28, 2024 at 4:25 PM alexander arsenovic ***@***.***> wrote: i have used sympy (symbolic library) and the cascade methods to do as you describe in the past. it worked great. On Fri, Jan 26, 2024 at 3:16 PM Julien Hillairet ***@***.***> wrote: > scikit.rf Network objects can be connnected effciently using the connect > method, wich uses the analytical connection formulae from > Filipsson/Compton.\n\nWouldn't it be possible to use this connection idea > when assembling general circuits? > > Maybe. To be honest I did not try. Using only connect function is not > that simple when connecting N-ports with N>2, which leads me to the > Hallbjörner method. Its implementation was relatively straightforward from > the paper. > > One other great advantage is that this method allows a direct access to > the internal S parameters, and so, to internal voltages and currents at all > nodes. > > — > Reply to this email directly, view it on GitHub > <#1011 (comment)>, > or unsubscribe > <https://github.com/notifications/unsubscribe-auth/AAJL3UGOXXGBXLC5HAY6373YQQFJPAVCNFSM6AAAAABCKZH6RCVHI2DSMVQWIX3LMV43OSLTON2WKQ3PNVWWK3TUHMYTSMJSGYZTKOBVHA> > . > You are receiving this because you are subscribed to this thread.Message > ID: ***@***.***> >

[zolabar]

Also 2-Port network S-Parameters could be obtained using ABCD and then a2s, I think. And then, the 1-Port and 2-Port networks could be connected via Filipsson/Compton with each other and any existing multiport network.

@jhillairet , thank you for the quick response. I think I see the practical part of the general formula. I just started thinking about this topic, because of speed of the circuit building (I think #969 also deals with that) ;)

[zolabar]

i have used sympy (symbolic library) and the cascade methods to do as you describe in the past. it worked great.
…
On Fri, Jan 26, 2024 at 3:16 PM Julien Hillairet @.> wrote: scikit.rf Network objects can be connnected effciently using the connect method, wich uses the analytical connection formulae from Filipsson/Compton.\n\nWouldn't it be possible to use this connection idea when assembling general circuits? Maybe. To be honest I did not try. Using only connect function is not that simple when connecting N-ports with N>2, which leads me to the Hallbjörner method. Its implementation was relatively straightforward from the paper. One other great advantage is that this method allows a direct access to the internal S parameters, and so, to internal voltages and currents at all nodes. — Reply to this email directly, view it on GitHub <#1011 (comment)>, or unsubscribe https://github.com/notifications/unsubscribe-auth/AAJL3UGOXXGBXLC5HAY6373YQQFJPAVCNFSM6AAAAABCKZH6RCVHI2DSMVQWIX3LMV43OSLTON2WKQ3PNVWWK3TUHMYTSMJSGYZTKOBVHA . You are receiving this because you are subscribed to this thread.Message ID: @.>

@arsenovic , thank you for the quick reply. That experiment with sympy sounds great. I forgot to write in the original potst (updated now) that besides 1-Ports networks, also 2-Port network S-Parameters could be obtained using ABCD and then a2s, I think. And then, the 1-Port and 2-Port networks could be connected via Filipsson/Compton with each other and any existing multiport network. I think, that circuit networks assembled in this way could have a faster assembly than the general Hallbjörner version. Of course, I don't know if there are exceptions to my hypothesis ;)

[zolabar]

also i just saw your conformal maps library. looks cool! i have in the past tried to visualize how a two-port warps the smithchart over frequency, as an animation of conformal maps. but i did it numerically. the idea was to try and get a feel for what the 'error networks' in the calibrations were doing.
…
On Sun, Jan 28, 2024 at 4:25 PM alexander arsenovic @.> wrote: i have used sympy (symbolic library) and the cascade methods to do as you describe in the past. it worked great. On Fri, Jan 26, 2024 at 3:16 PM Julien Hillairet @.> wrote: > scikit.rf Network objects can be connnected effciently using the connect > method, wich uses the analytical connection formulae from > Filipsson/Compton.\n\nWouldn't it be possible to use this connection idea > when assembling general circuits? > > Maybe. To be honest I did not try. Using only connect function is not > that simple when connecting N-ports with N>2, which leads me to the > Hallbjörner method. Its implementation was relatively straightforward from > the paper. > > One other great advantage is that this method allows a direct access to > the internal S parameters, and so, to internal voltages and currents at all > nodes. > > — > Reply to this email directly, view it on GitHub > <#1011 (comment)>, > or unsubscribe > https://github.com/notifications/unsubscribe-auth/AAJL3UGOXXGBXLC5HAY6373YQQFJPAVCNFSM6AAAAABCKZH6RCVHI2DSMVQWIX3LMV43OSLTON2WKQ3PNVWWK3TUHMYTSMJSGYZTKOBVHA > . > You are receiving this because you are subscribed to this thread.Message > ID: @.***> >

@arsenovic thank you for the feedback on the conformal mapping project. The application with respect to the smith chart sound interesting (the smith chart as a Möbius Transform ;)). Until now, I had mainly fluid dynamic and mechanical applications of confromal mappings in mind.
But rf theory and practice offer many more applications of these!

[zolabar]

also i just saw your conformal maps library. looks cool! i have in the past tried to visualize how a two-port warps the smithchart over frequency, as an animation of conformal maps. but i did it numerically. the idea was to try and get a feel for what the 'error networks' in the calibrations were doing.
…
On Sun, Jan 28, 2024 at 4:25 PM alexander arsenovic @.> wrote: i have used sympy (symbolic library) and the cascade methods to do as you describe in the past. it worked great. On Fri, Jan 26, 2024 at 3:16 PM Julien Hillairet _@**._> wrote: > scikit.rf Network objects can be connnected effciently using the connect > method, wich uses the analytical connection formulae from > Filipsson/Compton.\n\nWouldn't it be possible to use this connection idea > when assembling general circuits? > > Maybe. To be honest I did not try. Using only connect function is not > that simple when connecting N-ports with N>2, which leads me to the > Hallbjörner method. Its implementation was relatively straightforward from > the paper. > > One other great advantage is that this method allows a direct access to > the internal S parameters, and so, to internal voltages and currents at all > nodes. > > — > Reply to this email directly, view it on GitHub > <#1011 (comment)>, > or unsubscribe > https://github.com/notifications/unsubscribe-auth/AAJL3UGOXXGBXLC5HAY6373YQQFJPAVCNFSM6AAAAABCKZH6RCVHI2DSMVQWIX3LMV43OSLTON2WKQ3PNVWWK3TUHMYTSMJSGYZTKOBVHA > . > You are receiving this because you are subscribed to this thread.Message > ID: _@_.*> >

@arsenovic thank you for the feedback on the conformal mapping project. The application with respect to the smith chart sound interesting (the smith chart as a Möbius Transform ;)). Until now, I had mainly fluid dynamic and mechanical applications of confromal mappings in mind. But rf theory and practice offer many more applications of these!

A star on

https://github.com/im-AMS/Conformal-Maps

would be great ;)