Supernode Circuit Calculator

A simple supernode circuit calculator using Python 3.7, cmath, numpy, PyQt5. Algorithm used: Modified Nodal Analysis (MNA)

About

Technological University of the Philippines - Manila

College of Engineering

Electronics Engineering Department

A.Y. 2019-2020 - Second Semester

ACECE 6 | Electrical Circuits II

BSECE 2A

Instructor: Mr. Lejan Alfred Enriquez, ECE

Members

• Paulino, Beaver B.
• De Luna, Allyze Marie M.
• Soriano, Toni Rose M.
• Palabrica, Reneleo Martin S.
• Buenavista, John Marco P.
• Butlig, Dexter N.

Language Used

Python 3.7

Library Used

• cmath
• numpy
• PyQt5

Algorithm Used

Modified Nodal Analysis with Reactive Elements

What is Modified Nodal Analysis (MNA)?

MNA applied to a circuit with only passive elements (such as resistors, capacitors, and inductors) and independent current and voltage sources results in a matrix of the form: Ax=B

The A matrix

• is (n+m)x(n+m) in size, and consists only of known quantities.
• the nxn part of the matrix:
  1. has only passive elements
  2. elements connected to ground (appear only to diagonal)
  3. elements not connected to the ground and off-diagonal terms.
• the rest of matrix A (mxm) contains only 1, -1, and 0. (other values are considered if there are dependent current and/or voltage sources).

The x matrix:

• an (n+m)x1 vector, consists of unknown quantities.
• the top n elements are the n node voltages.
• the bottom m elements are the m independent elements.

The B matrix:

• an (n+m)x1 vector, consists of known quantities.
• the top n elements are either 0 or the sum and difference of independent current sources in the circuit.
• the bottom m elements represent the m independent voltage sources in the circuit.

The circuit can be solved by a simple matrix manipulation: x=A^(-1)B