The analysis of the circuit by the programming realization

% circuit parametersr = round (100*rand (8,1)) V0 = round (100*RANDN)% Kirchoff ' S voltage lawa = [1 -1  0  0     0   1 -1  0    -1  0  1  0      0 -1  0  0     0  0 - 1  1     1  0  0  0      0  0  0 -1    -1  0  0  1]%  symbolicallysymr = sym (' [r12 r13 r14 r23 r34 r25 r35 r45] ') ; R = a ' *diag (SYMR) *a% numerically r = a ' *diag (R) *a;b = [0 0 0  v0] ' i = r\[0 0 0 v0] '% kirchoff ' s current lawb = [1  -1  0  0     1  0 -1  0     1   0  0 -1     0  1 -1  0      0  0  1 -1     0  1  0   0     0  0  1  0      0  0  0  1]% symbolicallysymg = sym (' [G12 g13 g14  G23 G34 G25 G35 G45] '); G = b ' *diag (SYMG) *b% numerically g = 1./r;g35 = g (7); G = b ' *diag (g) *bc = [0 0 g35*v0 0] ' v = g\c% check  Consistencyd = [0 0 0 0 0 0 v0 0] '; [(b*v-d)./(A*i)  r]

The above MATLAB program has carried on the simulation and the simulation to the circuit characteristic.

The shape of the circuit diagram is this:

Where the current direction is clockwise.

Based on these parameters given in the circuit, combined with the KCl(kirchoff's current law), KVL(Kirchoff's voltage law ) to analyze it.

X = Randn Returns a random scalar drawn from the standard normal distribution.

Sym Create the symbolic variables

X = Rand Returns a single uniformly distributed random number in the interval (0,1).

X = rand (n) returns an n-by-n matrix of random numbers

The following statement returns a line vector consisting of a symbolic variable.

>> sym (' [R12 r13 R14 r23 r34 r25 r35 r45] ')

Ans =

[R12, R13, R14, R23, R34, R25, R35, R45]

Further analysis, put it in the diagonal position of the matrix, the resulting matrix is the shape of this:

>> symr = sym (' [R12 r13 R14 r23 r34 r25 r35 r45] ');

>> diag (SYMR)

Ans =

[R12, 0, 0, 0, 0, 0, 0, 0]

[0, R13, 0, 0, 0, 0, 0, 0]

[0, 0, R14, 0, 0, 0, 0, 0]

[0, 0, 0, r23, 0, 0, 0, 0]

[0, 0, 0, 0, R34, 0, 0, 0]

[0, 0, 0, 0, 0, R25, 0, 0]

[0, 0, 0, 0, 0, 0, R35, 0]

[0, 0, 0, 0, 0, 0, 0, R45]

>> A ' *diag (SYMR) *a

Ans =

[R12 + R14 + R25 + r45,-r12,-r14,-r45]

[-r12, R12 + R13 + r23,-r13, 0]

[-r14,-r13, R13 + R14 + R34,-r34]

[-r45, 0,-r34, R34 + R35 + r45]

The resistor matrix is obtained.

The analysis of the circuit by the programming realization