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README.md

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+# 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**