a novel method to compute the stability region in power system transient stability analysis is presented. this method is based on the set analysis. the key to this method is to construct the hamilton-jacobi-isaacs (hji) partial differential equation (pde) of a nonlinear system, using which we can compute the backward reachable set by applying the level set methods. the backward reachable set of...

In the present study, the onset of double diffusive reaction-convection in a uid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. Linear and nonlinear stability analysis have been performed. For linear analysis normal mode technique is used and for nonlinear analysis minimal representation of truncated Fourier serie...

In this research, mechanical buckling of rectangular plates of functionally graded materials (FGMs) is considered. Equilibrium and stability equations of a FGM rectangular plate under uniform in-plane compression are derived. For isotropic materials, convergent buckling loads have been presented for non-uniformly compressed rectangular plates based on a rigorous superposition fourier solution f...

The layout of the major components of the BPX poloidal field (PF) system is shown in Fig. 5.1. External to the toroidal field (TF) magnet and assembly are the seven updown symmetric pairs of primary PF-producing coils. These are called the external PF coils. They are labeled in pairs, with PFlU being the inner (small major radius) PF coil closest to and above the midplane and PFZU-PF7U proceedi...