i want to implement and RLC circuit to find the fault current where R0 is infinte. This is bipolar circuit

I have attached my circuit i want to implmenet it where in the circuit R0 is infinite i want to find branch curremt where Rf is the fault resistance. This is a biplar circuit. how the resistance matrix built and how the incducatnace matrix.

i wan to use this equation to find the branch current

A0.u0=R0.i0+L0.di0/dt

where A0 is the incidance matrix

what would be the incidance matrix for this circuit and how we implement this equation on the given circuit. If anyone has solution please guide me

Answer 1

[Sumukh]

Hi @Zeeshan,

The incidence matrix represents the relationship between branches and nodes in the circuit. Each row of the matrix corresponds to a branch, and each column corresponds to a node. For a bipolar circuit:

• If a branch leaves a node, the entry is +1.
• If a branch enters a node, the entry is -1.
• If a branch is not connected to a node, the entry is 0.

Similarly, the resistance and inductance matrices can be constructed. You can refer to external resources to understand more on these matrices and how they are constructed.

You can refer to the following video resource that explains modelling electrical networks using ODEs and solving them:

https://www.mathworks.com/videos/differential-equations-and-linear-algebra-25-electrical-networks-voltages-and-currents-117406.html

For more information on ODEs, kindly refer to the following MathWorks Self-Paced coursework:

https://matlabacademy.mathworks.com/details/solving-ordinary-differential-equations-with-matlab/odes