Existing exoplanet radial velocity surveys are complete in the planetary masssemimajor axis (Mp − a) plane over the range 0.1 AU < a < 2.0 AU where Mp & 100 M⊕. We marginalize over mass in this complete domain of parameter space and demonstrate that the observed a distribution is inconsistent with models of planet formation that use the full Type I migration rate derived from a linear theory an...

Several general trends have been identified for equilibrated, selfgravitating collisionless systems, such as density or anisotropy profiles. These are integrated quantities which naturally depend on the underlying velocity distribution function (VDF) of the system. We study this VDF through a set of numerical simulations, which allow us to extract both the radial and the tangential VDF. We find...

in this paper, an effective and simple numerical method is proposed for solving systems of integral equations using radial basis functions (rbfs). we present an algorithm based on interpolation by radial basis functions including multiquadratics (mqs), using legendre-gauss-lobatto nodes and weights. also a theorem is proved for convergence of the algorithm. some numerical examples are presented...

The increasing penetration of dispersed generation (DG) brings challenges to conventional protection approaches of distribution system, mainly due to bi-directional power flow and variable fault current contribution from different generation technology-based DG units. Moreover, the trend of allowing islanded operation of distribution systems necessitates the adoption of adaptive protection meth...

Minimization of line losses and the improvement of power quality in distribution system are the most challenging problems, particularly when it is not economic to upgrade the entire feeder systems. This paper presents a new method to achieve the line loss minimum condition and improve power quality in radial and loop distribution system by using Unified Power Flow Controllers (UPFC), one of the...

In this work, a radial basis function (RBF) neural network is developed for the identification of hyperbolic distributed parameter systems (DPSs). This empirical model is based only on process input-output data and used for the estimation of the controlled variables at specific locations, without the need of online solution of partial differential equations (PDEs). The nonlinear model that is o...

Voltage is an important variable that reflects system conditions in DC distribution systems and affects many characteristics of a system. In a DC distribution system, there is a close relationship between the real power and the voltage magnitude, and this is one of major differences from the characteristics of AC distribution systems. One such relationship is expressed as the voltage sensitivit...

Traditional power flow analysis techniques such as the Newton-Raphson and the Gauss-Seidel methods are widely used in analyzing power transmission systems. However, they are inefficient and may diverge due to the different network characteristics of power distribution systems such as radial and high R/X ratio. Therefore, other techniques such as the voltage sweep algorithms are developed for po...