# Dynamic Stability Analysis of Isolated Power System
## 2 Structure and Operating Conditions of the Researched Isolated EPS
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Name** & **Marking** & **Measurement** & **G1** \\ \hline Apparent power & \(S_{N}\) & MVA & 248 \\ Active power & \(P_{N}\) & MW & 225 \\ Nonlinear voltage & \(U_{N}\) & kW & 15.75 \\ Nonlinear voltage & \(U_{N}\) & kV & 15.75 \\ Power factor & \(cos\left(\varphi\right)\) & p.u. & 0.85 \\ Number of pole pairs & \(cos\left(\varphi\right)\) & p.u. & 0.85 \\ Number of pole pairs & \(p\) & - & 20 \\ Rotation speed & \(s\) & rot/min. & 150 \\ Zero phase-sequence impedance & \(X_{0}\) & p.u. & 0.05–0.19 \\ Negative phase-sequence impedance & \(X_{2}\) & p.u. & 0.38 \\ Coupling & - & - & star grounded through transformer \\ Direct-axis synchronous reactance & \(X_{d}\) & p.u. & 1.42 \\ Quadrature-axis synchronous reactance & \(X_{d}\) & p.u. & 0.96 \\ Direct-axis transient reactance & \(X_{d}\) & p.u. & 0.45 \\ Direct-axis sub-transient reactance & \(X_{d}\) & p.u. & 0.45 \\ Direct-axis sub-transient reactance & \(X_{d}\) & p.u. & 0.32 \\ Quadrature-axis sub-transient reactance & \(X_{d}\) & p.u. & 0.32 \\ Stator winding leakage reactance & \(X_{1}\) & p.u. & 0.20 \\ The value of the saturation function & \(S_{1}\) & - & 0.11 \\ Inertia & \(H\) & p.u. & 4.0 \\ Damping & \(D\) & p.u. & 0.0 \\ Direct-axis idle transient time constant & \(T_{d}\)/ & s & 9.80 \\ Direct-axis idle sub-transient time constant & \(T_{d}\)/ & s & 0.10 \\ Quadrature-axis idle transient time constant & \(T_{d}\)/ & s & 0.15 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Hydro-generator G1’s main parameters. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Name** & **Marking** & **Measurement** & **G2** & **G3** & **G4** & **G5** \\ \hline Apparent power & \(S_{N}\) & MVA & 524 & 220 & 150 & 120 \\ Active power & \(P_{N}\) & MW & 445 & 180 & 120 & 100 \\ Nominal voltage & \(U_{N}\) & kV & 19 & 20 & 10.5 & 10.5 \\ Power factor & \(cos\left(\varphi\right)\) & p.u. & 0.85 & 0.82 & 0.8 & 0.8 \\ Number of pole pairs & \(p\) & - & 1 & 1 & 1 & 1 \\ Rotation speed & \(s\) & rot/min. & 3000 & 3000 & 3000 & 3000 \\ Zero phase-sequence impedance & \(X_{0}\) & p.u. & 0.13 & 0.088 & 0.10 & 0.10 \\ Negative phase-sequence impedance & \(X_{2}\) & p.u. & 0.24 & 0.21 & 0.23 & 0.23 \\ Coupling & - & - & star & double star & double star & double star \\ Direct-axis synchronous reactance & \(X_{d}\) & p.u. & 2.0 & 1.70 & 1.90 & 1.90 \\ Quadrature-axis synchronous reactance & \(X_{d}\) & p.u. & 1.92 & 1.61 & 1.80 & 1.65 \\ Direct-axis transient reactance & \(X_{d}\) & p.u. & 0.29 & 0.26 & 0.28 & 0.25 \\ Direct-axis sub-transient reactance & \(X_{d}\)/ & p.u. & 0.24 & 0.17 & 0.18 & 0.19 \\ Quadrature-axis transient reactance & \(X_{d}\) & p.u. & 0.48 & 0.48 & 0.45 & 0.52 \\ Stator winding leakage reactance & \(X_{1}\) & p.u. & 0.19 & 0.15 & 0.15 & 0.10 \\ The value of the saturation function & \(S_{1}\) & - & 0.036 & 0.059 & 0.19 & 0.18 \\ Inertia & \(H\) & p.u. & 5.78 & 2.70 & 3.40 & 3.15 \\ Damping & p.u. & 0.0 & 0.0 & 0.0 & 0.0 \\ Direct-axis idle transient time constant & \(T_{d}\)/ & s & 6.70 & 5.90 & 6.45 & 7.50 \\ Direct-axis idle sub-transient time constant & \(T_{d}\)/ & s & 0.04 & 0.17 & 0.17 & 0.06 \\ Quadrature-axis idle transient time constant & \(T_{d}\)/ & s & 0.60 & 0.85 & 0.85 & 2.08 \\ Quadrature-axis idle sub-transient time constant & \(T_{d}\)/ & s & 0.08 & 0.15 & 0.15 & 0.05 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Main parameters of turbogenerators G2-G5.