The Node Voltage Equation

Thread Starter

Mohamed Hesham Mohammed

Joined Oct 8, 2016
34
I tried to solve it without taking node g and h into consideration but it gave me different Answers
How can it be solved by taking node A,B,C,D,E,F into consideration
Or to Rephrase
Should I consider a supernode at f and d and if yes what should be written
 
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MrAl

Joined Jun 17, 2014
13,704
I tried to solve it without taking node g and h into consideration but it gave me different Answers
How can it be solved by taking node A,B,C,D,E,F into consideration
Or to Rephrase
Should I consider a supernode at f and d and if yes what should be written

Hi,

Did you mean at f an g? You need this equation:
Vf-Vg=150

unless you want to totally ignore that source, but then that would not be the full nodal method anymore.
 

MrAl

Joined Jun 17, 2014
13,704
So it's necassary to have this equation?
Hi,

Well when you are doing a full nodal analysis that means you want to solve for every node in the system. Since node G is a node, you have to solve for Vg. That equation just means the same thing as Vg=Vf-150 of course, but in keeping with the mechanics of nodal you would first write Vf-Vg=150.
The idea here is not to jump ahead and try to take short cuts until you become more familiar with circuit analysis. Get the mechanics of it down pat, then start thinking about how to reduce your work. If you dont do this you'll have more to think about and that might get confusing. I suggest this because it has less variability from circuit to circuit so you'll be able to do any circuit without much trouble.
Note that it is not easy to see why the 150v source can be eliminated except for the fact that node G has no other influence on the circuit, but that might not be apparent to you until you do several other examples and get familiar with these techniques. In the mean time if you write one equation for each node you'll never have a problem, once you learn how to do that.
 
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I tried to solve it without taking node g and h into consideration but it gave me different Answers
How can it be solved by taking node A,B,C,D,E,F into consideration
Or to Rephrase
Should I consider a supernode at f and d and if yes what should be written
WBahn pointed in post #39 that you only need to solve for Va, Vb and Ve (he said Vb, Ve, and Vd, but I think he meant Va rather than Vd)

If you know Va, Vb and Ve you can easily obtain Vx, VΔ and IΔ.

So, solve for them like this:

Net1.png

Net2.png
 
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Thread Starter

Mohamed Hesham Mohammed

Joined Oct 8, 2016
34
Thanks Very Much
WBahn pointed in post #39 that you only need to solve for Va, Vb and Ve (he said Vb, Ve, and Vd, but I think he meant Va rather than Vd)

If you know Va, Vb and Ve you can easily obtain Vx, VΔ and IΔ.

So, solve for them like this:

View attachment 115712
Just out of curiosity if i intend to solve it using mesh what would Vx Be equal to and what tricks should i take care of.

View attachment 115716
 
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