Nodal Admittance Matrix

In power engineering, nodal admittance matrix (or just admittance matrix) or Y Matrix or Ybus is an n x n matrix describing a power system with n buses. It represents the nodal admittance of the buses in a power system. In realistic systems which contain thousands of buses, the Y matrix is quite sparse. Each bus in a real power system is usually connected to only a few other buses through the transmission lines. The Y Matrix is also one of the data requirements needed to formulate a power flow study.

The nodal admittance matrix form: 
Y = \begin{bmatrix} Y_{11} & Y_{12} & \cdots & Y_{1n} \\ Y_{21} & Y_{22} & \cdots & Y_{2n} \\ \cdots & \cdots & \cdots & \cdots \\ Y_{n1} & Y_{n2} & \cdots & Y_{nn}
\end{bmatrix}

Read more about Nodal Admittance Matrix:  Context, Design, See Also

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