Determination Of Admittance And Impedance Bus Matrices Using Linear Algebra And Matlab In Electric Power Systems

In electrical engineering, specifically in Electric Power Systems linear algebra is used widely throughout the curriculum. More specifically in electric power systems, short circuit analysis requires the determination of impedance bus matrices Zbus. Admittance bus matrices, Ybus, are used in load flow analysis amongst other applications. The classic manipulation of these matrices has been done using high-level programs such as FORTAN and C. With the introduction of mathematical packages such as MATLAB and MATHCAD we have reduced the time being consumed in the solution of such matrices and focus more in the techniques and analysis of the results. This paper will attempt to demonstrate the usage of MATLAB in the solution of linear algebra problems in the analysis of electric power systems specifically in the use of the “building algorithm” and Kron’s reduction. Kron’s 1 reduction (Node Elimination)