deletions | additions       diff --git a/Methodology.tex b/Methodology.tex  index 312bf43..6a17ca7 100644  --- a/Methodology.tex  +++ b/Methodology.tex 
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\section{Seperation of Power System Losses }  \subsection{Partitioning}  The $Y_{bus}$ is reordered, per [8], such that generator buses (G (\textit{G}  subscript) and load buses (L) (\textit{L})  are grouped together: \begin{equation}   \label{eq:YLL} 
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$I_{G}$ and $I_{L}$ are complex-valued vectors representing the nodal currents at generator and load buses, respectively, while $V_{G}$ and $V_{L}$ are corresponding complex nodal voltages.  From (\ref{eq:YLL}):  \begin{equation}   \label{eq:IG}  I_{G} = Y_{GG}V_{G} + Y_{GL}V_{L}  \end{equation}  \begin{equation}   \label{eq:IL}  I_{L} = Y_{LG}V_{G} + Y_{LL}V_{L}  \end{equation}  Rearrange (\ref{eq:IL}) to find that:  \begin{equation}   \label{eq:VL}  V_{L} = Z_{LL}I_{L} - Z_{LL}Y_{LG}V_{G}  \end{equation}  Where $Z_{LL} = Y_{LL}^{-1}$. Substituting for $V_{L}$ in (\ref{eq:IG}):  \begin{equation}   \label{eq:IG2}  I_{G} = (Y_{GG}-Y_{GL}Z_{LL}Y_{LH})V_{G} + Y_{GL}Z_{LL}I_{L}  \end{equation}  Inspecting (\ref{eq:VL}) and (\ref{eq:IG2}) indicates that they (\ref{eq:YLL}) we  can be efficiently represented in block matrix form: derive:  \begin{equation}   \label{eq:YMod}