# A Contemporary Novel Classification of Voltage Stability Indices
## 5 Simulation and Verification
\begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Test System**} & \multirow{2}{*}{**Feeder**} & \multicolumn{8}{c}{**Index**} \\ \cline{3-11}  & & \multirow{2}{*}{**NLSI**} & \multicolumn{2}{c}{**VCPI**} & \multirow{2}{*}{**FVSI**} & \multirow{2}{*}{**Lmn**} & \multirow{2}{*}{**LQP**} & \multirow{2}{*}{**L**} & \multirow{2}{*}{**V\({}_{\rm cr}\)**} & \multirow{2}{*}{**LVSI**} \\ \cline{3-11}  & & & & & & & & & & & \\ \hline \multirow{8}{*}{**WSCC 9-bus**} & 7 & 5 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & - & 1 \\ \cline{2-11}  & 9 & 6 & 2 & 2 & 2 & 2 & 2 & 2 & 3 & - & 2 \\ \cline{2-11}  & 7 & 8 & 3 & 3 & 3 & 3 & 3 & 2 & - & 3 \\ \cline{2-11}  & 5 & 4 & - & - & - & - & - & - & 1 & - \\ \cline{2-11}  & 6 & 4 & - & - & - & - & - & - & 2 & - \\ \cline{2-11}  & 8 & 9 & - & - & - & - & - & - & 3 & - \\ \hline \multirow{8}{*}{**IEEE 14-bus system**} & 4 & 9 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & - \\ \cline{2-11}  & 2 & 3 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & - & 1 \\ \cline{2-11}  & 3 & 4 & - & 3 & 3 & - & - & - & - & 2 \\ \cline{2-11}  & 12 & 13 & - & - & - & 3 & 3 & - & - & - & - \\ \cline{2-11}  & 5 & 6 & - & - & - & - & - & 3 & - & 2 & - \\ \cline{2-11}  & 1 & 5 & - & - & - & - & - & - & - & 3 \\ \cline{2-11}  & 4 & 7 & - & - & - & - & - & - & 3 & - \\ \cline{2-11}  & 13 & 14 & 3 & - & - & - & - & - & - & - & - \\ \hline \multirow{8}{*}{**IEEE 30-bus system**} & 2 & 5 & 1 & 1 & 1 & 1 & 3 & 1 & 2 & - & 1 \\ \cline{2-11}  & 27 & 30 & 2 & 2 & 2 & - & - & - & 3 & - & 2 \\ \cline{2-11}  & 29 & 30 & 3 & 3 & 3 & - & - & - & - & 3 & 3 \\ \cline{2-11}  & 4 & 12 & - & - & - & 3 & - & 2 & - & - & - \\ \cline{2-11}  & 6 & 8 & - & - & - & - & - & - & 1 & - & - \\ \cline{2-11}  & 6 & 10 & - & - & - & - & 1 & - & - & 1 & - \\ \cline{2-11}  & 9 & 10 & - & - & - & - & 2 & - & - & 2 & - \\ \cline{2-11}  & 23 & 24 & - & - & - & 2 & - & 3 & - & - & - \\ \hline \hline \end{tabular}
\end{table} 
Table 2: The obtained three top critical branch ranking by each index. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Test System**} & \multirow{2}{*}{**Bus**} & \multicolumn{2}{c}{**Feeder**} & \multicolumn{8}{c}{**Index**} \\ \cline{3-11}  & & **From** & **To** & **VSF** & **PSI** & **V\({}_{\rm j}\)/V\({}_{\rm o}\)** & **BPF** & **RE** & **S** \\ \hline \multirow{8}{*}{**IEEE 14-bus system**} & 14 & 9 & 14 & - & - & 1 & 1 & 1 & 1 \\  & 10 & 9 & 10 & - & - & 2 & 2 & 2 & 2 \\ \cline{1-11}  & 9 & 4 & 9 & 3 & 3 & - & 3 & 3 & - \\ \cline{1-11}  & 7 & 9 & - & 2 & & & & & \\ \cline{1-11}  & 7 & 4 & 7 & 2 & 1 & - & - & - & 3 \\ \cline{1-11}  & 13 & 6 & 13 & - & - & 3 & - & - & - \\ \cline{1-11}  & 4 & 3 & 4 & 1 & - & - & - & - & - \\ \hline \multirow{2}{*}{**IEEE 30-bus system**} & 26 & 25 & 26 & 2 & 1 & 2 & 3 & 3 & 3 \\ \cline{1-11}  & 29 & 27 & 29 & 3 & 2 & 3 & 2 & 2 & 2 \\ \cline{1-11}  & 30 & 29 & 30 & 1 & 3 & 1 & 1 & 1 & 1 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: The obtained weak bus ranking by each index. of the given zero values. The critical buses ranking by VSF, PSI, and V/V\({}_{\text{o}}\) node indices at the 30-bus system are chosen by an analogy of the other indices, since many of the buses had a stability index of zero. The obtained numerical consequences were the result of using power systems simulation tools such as PowerWorld(r) Simulator, and MATPOWER a package of MATLAB(r).