ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Fri, 25 Mar 2016 21:48:24 +0100Nodal analysis in networkhttps://ask.sagemath.org/question/23624/nodal-analysis-in-network/Hi experts!
I have:
* Q nodes (Q stick-stick intersections)
* a list 'NODES'=[(x,y,i,j)_1,........, (x,y,i,j)_Q], where each element (x,y,i,j) represent the intersection point (x,y) of the sticks i and j.
* a matrix 'H' with QxQ elements {H_k,l}.
H_k,l=0 if nodes 'k' and 'l' aren't joined by a edge, and H_k,l = R_k,l = the electrical resistance associated with the union of the nodes 'k' and 'l' (directly proportional to the length of the edge that connects these nodes).
* a list 'nodes_resistances'=[R_1, ....., R_Q].
All nodes with 'j' (or 'i') = N+1 have a electric potential 'V' respect all nodes with 'j' or 'i' = N.
Now i must apply NODAL ANALYSIS for determinate the electrical current through each of the edges, and the net current. I have no ideas about how to do that. Can you help me?
Thanks a lot!
Best regards
Tue, 29 Jul 2014 14:24:51 +0200https://ask.sagemath.org/question/23624/nodal-analysis-in-network/Comment by niles for <p>Hi experts!</p>
<p>I have:</p>
<ul>
<li>Q nodes (Q stick-stick intersections)</li>
<li>a list 'NODES'=[(x,y,i,j)_1,........, (x,y,i,j)_Q], where each element (x,y,i,j) represent the intersection point (x,y) of the sticks i and j.</li>
<li>a matrix 'H' with QxQ elements {H_k,l}.
H_k,l=0 if nodes 'k' and 'l' aren't joined by a edge, and H_k,l = R_k,l = the electrical resistance associated with the union of the nodes 'k' and 'l' (directly proportional to the length of the edge that connects these nodes).</li>
<li>a list 'nodes_resistances'=[R_1, ....., R_Q].</li>
</ul>
<p>All nodes with 'j' (or 'i') = N+1 have a electric potential 'V' respect all nodes with 'j' or 'i' = N.</p>
<p>Now i must apply NODAL ANALYSIS for determinate the electrical current through each of the edges, and the net current. I have no ideas about how to do that. Can you help me?</p>
<p>Thanks a lot!</p>
<p>Best regards</p>
https://ask.sagemath.org/question/23624/nodal-analysis-in-network/?comment=23627#post-id-23627can you explain what you mean by "nodal analysis"?Tue, 29 Jul 2014 19:26:07 +0200https://ask.sagemath.org/question/23624/nodal-analysis-in-network/?comment=23627#post-id-23627Comment by John Paul Morrison for <p>Hi experts!</p>
<p>I have:</p>
<ul>
<li>Q nodes (Q stick-stick intersections)</li>
<li>a list 'NODES'=[(x,y,i,j)_1,........, (x,y,i,j)_Q], where each element (x,y,i,j) represent the intersection point (x,y) of the sticks i and j.</li>
<li>a matrix 'H' with QxQ elements {H_k,l}.
H_k,l=0 if nodes 'k' and 'l' aren't joined by a edge, and H_k,l = R_k,l = the electrical resistance associated with the union of the nodes 'k' and 'l' (directly proportional to the length of the edge that connects these nodes).</li>
<li>a list 'nodes_resistances'=[R_1, ....., R_Q].</li>
</ul>
<p>All nodes with 'j' (or 'i') = N+1 have a electric potential 'V' respect all nodes with 'j' or 'i' = N.</p>
<p>Now i must apply NODAL ANALYSIS for determinate the electrical current through each of the edges, and the net current. I have no ideas about how to do that. Can you help me?</p>
<p>Thanks a lot!</p>
<p>Best regards</p>
https://ask.sagemath.org/question/23624/nodal-analysis-in-network/?comment=32889#post-id-32889This link might help. Usually the linear equations for Kirchoff's laws are setup by inspection and solved numerically or a program like Spice (open source: Qucs) does it.
I think the question is how to use the incidence matrix and cycle matrix of the network graph and voltages/current to solve for current/voltage.
[link text](http://www2.math.uu.se/~takis/L/Circuits/2000/handouts/graphsandckts/graphsandckts.pdf)Fri, 25 Mar 2016 21:48:24 +0100https://ask.sagemath.org/question/23624/nodal-analysis-in-network/?comment=32889#post-id-32889