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

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anhnha

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Could you help me with the question below? Thanks!

 

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anhnha,

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

Ratch
 
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    anhnha

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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.
 

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