Continue to Site

Welcome to EDAboard.com

Welcome to our site! EDAboard.com is an international Electronics Discussion Forum focused on EDA software, circuits, schematics, books, theory, papers, asic, pld, 8051, DSP, Network, RF, Analog Design, PCB, Service Manuals... and a whole lot more! To participate you need to register. Registration is free. Click here to register now.

Indefinite Y-Matrix: why sum of each row and each column is zero?

Status
Not open for further replies.

anhnha

Full Member level 6
Full Member level 6
Joined
Mar 8, 2012
Messages
322
Helped
4
Reputation
8
Reaction score
4
Trophy points
1,298
Visit site
Activity points
3,684
Could you help me with the question below? Thanks!

attachment.php
 

Attachments

  • Indefinite matrix.PNG
    Indefinite matrix.PNG
    121.5 KB · Views: 276

anhnha,

See paragraph 13-2 of this link. **broken link removed**.

Ratch
 
  • Like
Reactions: anhnha

    anhnha

    Points: 2
    Helpful Answer Positive Rating
Thank you, SunnySkyguy and Ratch!

SunnySkyguy: Sorry, I don't quite understand what you mean.
Could you be more specific?
Ratch:

That paragraph really explains why. However, there is still a probem that is still confusing.

In proving sum of the elements in each column is zero, why can we set all terminal voltages except the kth one to zero?
I think that is because Y matrix is constant and independent to terminal voltages and currents. So, I can set terminal voltages to whatever I want.
 

Not shown in the 3 terminal schematic is the common ground path. ( which can be any arbitrary potential)

When you look at a 1 port scenario, I1=Y11*V1 , is a variation of Ohm's Law I=V/R where R= 1/Y11
When you look at the 2 port matrix, it becomes Kirchoff's Current Law.

The sum of the matrix network currents is zero.
... based on KCL law ...
The algebraic sum of currents in a network of conductors meeting at a point is zero.

Node values are interactive with the admittance of each port, but there must be at least one driving force, either an ideal voltage source ( which might be represent as a practical source with some admittance)

Perhaps someone else can explain Vk.
 

Status
Not open for further replies.

Part and Inventory Search

Welcome to EDABoard.com

Sponsor

Back
Top