In distribution systems, in order to diminish power losses and keep voltage profiles within acceptable limits, network reconfiguration and capacitor placement are commonly used. In this paper, the Hybrid Shuffled Frog Leaping Algorithm (HSFLA) is used to optimize balanced and unbalanced radial distribution systems by means of a network reconfiguration and capacitor placement. High accuracy and ...

In literature of Fourier transforms and Wavelet transforms, the basic space is L2(R). From the point of view of signal analysis, a signal f ∈ L2(R) can only be transient (or “wavelets”). During recent years in some application areas, it has become more common to motivate a theory via persistent rather than transient signals (e.g., [16, 28, 30, 42]). To work on persistent signals, people have to...

We introduce the notion of weakly hyperbolic iterated function system (IFS) on a compact metric space, which generalises that of hyperbolic IFS. Based on a domain-theoretic model, which uses the Plotkin power domain and the probabilistic power domain respectively, we prove the existence and uniqueness of the attractor of a weakly hyperbolic IFS and the invariant measure of a weakly hyperbolic I...

relates stream length (L, mi) to drainage-basin area (A, mi). In CG-6 (“Solving Problems,” May 1999), Stokes' Law was used to find the travel time for a dead foraminifer to settle to the abyssal plain. This equation, which relates settling velocity (v) of a small, spherical particle to the densities of the settling particle and fluid (ρs and ρf, respectively), the viscosity of the fluid (μ), an...

This work is motivated by the observation that the function F2m to F2m defined by x + (x + 1) + a for some a ∈ F2m can be used to construct difference sets. A desired condition is, that the functionφd(x) := x+(x+1) is a 2-to-1 mapping. If s = 1, then the function x has to be APN. If s > 1, then there is up to equivalence only one function known: The function φd is a 2-to-1 mapping if d is the G...

This paper presents a simplifiedlagrangian multiplier based algorithm to solve the fixed head hydrothermalscheduling problem. In fixed head hydrothermal scheduling problem, waterdischarge rate is modeled as quadratic function of hydropower generation andfuel cost is modeled as quadratic function of thermal power generation. Thepower output of each hydro unit varies with the rate of water discha...