deletions | additions       diff --git a/Methodology.tex b/Methodology.tex  index bf0a7ae..421c992 100644  --- a/Methodology.tex  +++ b/Methodology.tex 
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\begin{equation}   \label{eq:TotalLossExpand}  V^T_{G}Y_{GGM}V_{G} + V^T_{G}(Y^*_{GL}Z^*_{LL} - Y^T_{LG}Z^T_{LL})I^*_{L} + I^T_{L}Z^T_{LL}I^*_{L}  \end{equation} The system losses are seen to naturally separate themselves into three distinct components. The middle component, the mismatch loss, will only arise when branch $X/R$ ratios are heterogeneous, and will in any case generally be small and imaginary [6]. Of the remaining terms, the load current loss cannot substantially be affected by the system operator, being a pure consequence of (fixed) system topology and (exogenous) load currents.   However, the circulating current loss is directly a consequence of generator voltage mismatches. The $Y_{GGM}$ matrix has the property that its rows sum to zero, and so its product can be brought to zero by right-multiplying it by any vector whose elements are all equal [Need to show!]. So, if the system is operated in such a way that generator voltages are homogeneous, there will be no excess circulating current loss, and the active power losses will reduce to the irreducible component which arises from serving load currents.