Abstract Optimal power flow (OPF) plays an important role in the secure and economical operation of distribution network. This paper proposes a novel generalized linear‐constrained optimal (GLOPF) model for both radial mesh networks, which iteratively approaches solution to original OPF problem. The first‐order Taylor series approximation method is applied linearize non‐linear non‐convex constr...

Articles you may be interested in A note on the limiting mean distribution of singular values for products of two Wishart random matrices On a (β, q)-generalized Fisher information and inequalities involving q-Gaussian distributions Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs: Diluted regime A quantum central limit theorem for sums of independen...

The first bibliometric law appeared in Alfred J. Lotka’s 1926 examination of author productivity in chemistry and physics. The result is that the productivity distribution is thought to be described by a power law. In this paper, Lotka’s original data on author productivity in chemistry is reconsidered by comparing the fit of the data to both a discrete power law and a discrete power law with e...

We review recent progress in understanding the meaning of mutual information in natural language. Let us define words in a text as strings that occur sufficiently often. In a few previous papers, we have shown that a power-law distribution for so defined words (a.k.a. Herdan’s law) is obeyed if there is a similar power-law growth of (algorithmic) mutual information between adjacent portions of ...

We investigate the proximity in terms of zeta-structured metrics generalized negative binomial random sums to gamma distribution with corresponding parameters, extending thus estimates rate convergence Rényi theorem. In particular, we derive upper bounds for Kantorovich and Kolmogorov law large numbers i.i.d. variables nonzero first moments finite second moments. Our method is based on represen...

[1] The abundance and size distribution of lakes is critical to assessing the role of lakes in regional and global biogeochemical processes. Lakes are fractal but do not always conform to the power law size-distribution typically associated with fractal geographical features. Here, we evaluate the fractal geometry of lakes with the goal of explaining apparently inconsistent observations of powe...

This article presents Navier type closed-form solutions for static bending, elastic buckling and free vibration analysis of symmetric functionally graded (FG) sandwich beams using a hyperbolic shear deformation theory. The beam has FG skins and isotropic core. Material properties of FG skins are varied through the thickness according to the power law distribution. The present theory accounts fo...