All About Circuits

Disgusting Matrix question!!

Search Forums New Posts
F

Thread Starter

Fraser_Integration

Joined Nov 28, 2009
142
hello. you can call me fraser, if you like!

I have no qualms about using technology! I have matlab, but I'll be damned if I can figure out how to do anything useful on it. I will check out Scilab, thanks for the recommendation.
 
steveb

steveb

Joined Jul 3, 2008
2,436
Fraser_Integration said:
hello. you can call me fraser, if you like!

I have no qualms about using technology! I have matlab, but I'll be damned if I can figure out how to do anything useful on it. I will check out Scilab, thanks for the recommendation.
Click to expand...
I'm quite sure all 4 of us have an appreciation for both the old ways and the new ways.

I think The-Electrician would recommend Mathematica for a computer based algebra system. I agree that's good, but I prefer to use Maxima because it's free.

One open question that remained in my mind was whether the cancellation of the w^6 terms was due to a careful balancing of the component values, or was an automatic result of the topology. This is a critical question because the component values have a tolerance, and will never be precise, whereas the alternative is not based on the exact values. To answer this question, I used Maxima to crank out the full algebraic answer, and it's clear that the w^6 terms cancel based on topology, which is good and makes the problem a reasonable one.

The Maxima commands and output are as follows.

Rich (BB code): 
collectterms(factor(determinant(matrix( 
[1-w^2*(L1+L3)*C1,w^2*L1*C1,w^2*L3*C1], 
[w^2*L1*C3,1-w^2*(L2+L1)*C3,w^2*L2*C3], 
[w^2*L3*C2,w^2*L2*C2,1-w^2*(L3+L2)*C2] 
))),w);
\(w^4(C_2C_3L_2L_3+C_1C_3L_2L_3+C_1C_2L_2L_3+C_2C_3L_1L_3+C_1C_3L_1L_3+C_1C_2L_1L_3+C_2C_3L_1L_2+C_1C_3L_1L_2+C_1C_2L_1L_2)
-w^2(C_2L_3+C_1L_3+C_3L_2+C_2L_2+C_3L_1+C_1L_1)\; +\; 1\)

EDIT: by the way, in case you couldn't tell, I use the symbol \(C_1\) for the 1F cap, \(C_2\) for the 2F cap, and \(C_3\) for the 3F cap. A similar convention is used for the coils. \(L_1\) is the 1H coil, \(L_2\) is the 2H coil, and \(L_3\) is the 3H coil,.
 
Last edited:
You must log in or register to reply here.
Thread starter Similar threads Forum Replies Date
nisha27337 Tieset matrix General Electronics Chat 4
G Capacitive sensor matrix Analog & Mixed-Signal Design 3
B Limit power (current) to LED matrix Power Electronics 24
M Validating a LED matrix circuit Digital Design 0
tashnag Trying to make LED matrix, which will all light up together (no need for controlling individual leds). Preferably with single power source General Electronics Chat 19
Similar threads
Tieset matrix
Capacitive sensor matrix
Limit power (current) to LED matrix
Validating a LED matrix circuit
Trying to make LED matrix, which will all light up together (no need for controlling individual leds). Preferably with single power source

You May Also Like

Top