This paper deals with the non-convex power system state estimation (PSSE) problem, which plays a central role in the monitoring and operation of electric power networks. Given a set of noisy measurements, PSSE aims at estimating the vector of complex voltages at all buses of the network. This is a challenging task due to the inherent nonlinearity of power flows, for which existing methods lack ...

The increasing penetration of the renewable energy sources brings new challenges to frequency security power systems. In order guarantee system security, constraints are incorporated into unit commitment (UC) models. Due non-convex form nadir constraint which makes constrained UC (FCUC) intractable, this letter proposes a revised support vector machine (SVM) based parameter separating plane met...

We propose an energy-efficient procedure for transponder configuration in FMF-based elastic optical networks in which quality of service and physical constraints are guaranteed and joint optimization of transmit optical power, temporal, spatial and spectral variables are addressed. We use geometric convexification techniques to provide convex representations for quality of service, transponder ...

This paper is concerned with the study of a version globally convergent convexification method direct application to synthetic aperture radar (SAR) imaging. Results numerical testing are presented for experimentally collected data fake landmine. The SAR imaging technique common tool used create maps parts surface Earth or other planets. Recently, it has been applied in context noninvasive inspe...

In this paper we present a solution method for stochastic integer problems. The method is a Benderstype algorithm that sequentially approximates the nonconvex recourse functions defined by the second stage subproblems. The presented convexification takes into account the domain that is induced by the collection of tender variables. The method is applied to a broad collection of stochastic integ...

We consider the problem of setting the uplink signalto-noise-and-interference (SINR) target and allocating transmit powers for mobile stations in multicell spatial multiplexing wireless systems. Our aim is twofold: to evaluate the potential of such mechanisms in network multiple input multiple output (MIMO) systems, and to develop scalable numerical schemes that allow real-time near-optimal res...

A general class of convexification transformations is proposed to convexify the noninferior frontier of a multiobjective program. We prove that under certain assumptions the noninferior frontier could be convexified completely or partly after transformation and then weighting method can be applied to identify the noninferior solutions. Numerical experiments are given to vindicate our results.