Invertibility of Nonlinear Differential-Algebraic-Equation Subsystems with Application to Power Systems

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="784013.fig.002a" src="https://static.hindawi.com/articles/mpe/volume-2013/784013/figures/784013.fig.002a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b> Relative power angle between G1 and G4</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="784013.fig.002b" src="https://static.hindawi.com/articles/mpe/volume-2013/784013/figures/784013.fig.002b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b> Relative power angle between G3 and G4</td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="784013.fig.002c" src="https://static.hindawi.com/articles/mpe/volume-2013/784013/figures/784013.fig.002c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b> Load bus voltage of G1</td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="784013.fig.002d" src="https://static.hindawi.com/articles/mpe/volume-2013/784013/figures/784013.fig.002d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b> Relative power angle between G1 and G2</td></tr></table></td></tr><tr class="fig-image" id="e"><td><img alt="784013.fig.002e" src="https://static.hindawi.com/articles/mpe/volume-2013/784013/figures/784013.fig.002e.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(e) </b>Load bus voltage of G3</td></tr></table></td></tr></table>

<table>Simulation results of G1 and G3.</table>

Mathematical Problems in Engineering

fig2

Figure 2

Figure 2: Invertibility of Nonlinear Differential-Algebraic-Equation Subsystems with Application to Power Systems 