A bifurcation theory is applied to the multimachine power system to investigate the effect of iron saturation on the complex dynamics of the system. The second system of the IEEE second benchmark model of Subsynchronous Resonance (SSR) is considered. The system studied can be mathematically modeled as a set of first order nonlinear ordinary differential equations with (!=Xc/XL) as a bifurcation...

Rotordynamic instability is present in most or all automotive turbochargers. High subsynchronous amplitudes can cause a variety of problems in areas such as mechanical failures, emissions regulations and rotor design. Self-excited vibrations from sources of damping can lock in at lateral natural frequencies causing dangerously high vibration levels. The resulting highamplitude conical and bendi...

This study presents a novel auxiliary damping control strategy to depress subsynchronous resonance (SSR) oscillations in nearby turbine generators. In the proposed control strategy, SSR damping is achieved by adding turbine generator speed as a supplementary signal at the active power loop of the rotor-side converter (RSC) of doubly-fed induction generator (DFIG)-based wind farms. To design the...

The electrical arc furnace (EAF) load is the largest load in power systems. Since electromechanical interactions between electrical loads and turbine-generator are seldom discussed, this paper investigates the torsional vibrations in turbine-generator shafts and blades subject to real and reactive power variations from a large-scale EAF plant. The transient power fluctuation of the load is rand...

When we research the suppression problem of subsynchronous oscillation based on time domain simulation method, we find the appropriate parameters for phase compensation and amplitude gaining links are important to the damping effect of the additional damping controllers, supplementary excitation damping controller(SEDC) and subsynchronous supplementary damping controller(SSDC). Some scholars at...

The second system of the IEEE second benchmark model of Subsynchronous Resonance (SSR) is considered. The system can be mathematically modeled as a set of first order nonlinear ordinary differential equations with the compensation factor (μ = Xc/XL) as a bifurcation (control) parameter. So, bifurcation theory can be applied to nonlinear dynamical systems, which can be written as dx/dt = F (x;μ)...

This paper will focus on identifying the interacting dynamic phenomena in power systems by using continuation of invariant subspaces (CIS). With this approach one can trace the trajectory of different oscillatory modes as system parameter changes. Many power system dynamic phenomena, such as strong resonance, subsynchronous resonance (SSR) et al., are related to the interaction of oscillatory m...