An application of chaos and bifurcation in nonlinear dynamical power systems

Small‐signal stability analysis for the multi‐terminal VSC MVDC distribution network; a review

“…The bifurcation analysis consists of three main steps as outlined in [61–65]. The first step involves determining the eigenvalues of the Jacobian matrix and the corresponding participation factor to assess the local stability of the equilibrium solution x 0 of the system in steady‐state.…”

“…Several small‐signal studies involving bifurcation theory and its application in power systems have been undertaken. Many aspects of small‐signal stability involving qualitative changes in AC based power systems have been explored [61–64]. In DC power system, bifurcation analysis is an emerging concept that has not been widely applied.…”

Improving the wind penetration level of the power systems connected to doubly fed induction generator wind farms considering voltage stability constraints

“…In this situation, at least one of the eigenvalues of the Jacobian matrix will become zero and these eigenvalues will change the sign that causes dynamic voltage unstability in power system. [29][30][31] It is a well-known fact that Flexible Alternating Current Transmission System (FACTS) devices can be used to provide reactive power compensation. Although there are many types of FACTS devices, each of them has its own characteristics.…”