Using the discrete logarithm in [7] and [9] a large family of pseudorandom binary sequences was constructed. Here we extend this construction. An interesting feature of this extension is that in certain special cases we get sequences involving points on elliptic curves. 2000 AMS Mathematics Subject Classification: 11K45. List of keywords and phrases: pseudorandom, elliptic curve.

Adaptive grid refinement is a critical component of the improvements that have recently been made in algorithms for the numerical solution of partial differential equations (PDEs). The development of new algorithms and computer codes for the solution of PDEs usually involves the use of proof-of-concept test problems. 2D elliptic problems are often used as the first test bed for new algorithms a...

Background: In this study, a general model of a hybrid off-grid energy system is developed, which can be adjusted to reflect real conditions in order to achieve economical and ecological optimisation of off-grid energy systems. Methods: Using linear programming methods in the General Algebraic Modeling System (GAMS) environment, the optimal configuration of the electrical power supply system fo...

In this Paper Analysis of Calculation Methods to calculate the losses and output power of wind turbine generator systems with using two types first one is Squirrel-Cage Induction Generator and the second is Doubly-fed Induction Generator. By using the existing methods in this paper, we can evaluate the generated output power, total system losses, total energy generated, efficiency and capacity ...

In this paper a variable speed generating unit is considered, equipped with permanent magnet generator. The system analysis involves appropriate models for the generator, the static converter and the grid. Moreover, an asynchronous generator mounted on the same rotor with dump loads ensures braking actions and management of the active power produced. The modelling of the generator and power ele...

Renewable energy sources bring to fore the significance of power electronics and corresponding control. The topic of wind turbine fault-tolerant control has emerged as a promising line of research for improving their market competence. The paper presents summarized control of wind turbine converter with a fault-tolerant control extension for generator electromechanical faults, based on a proper...

We give an arithmetic criterion which is sufficient to imply the discreteness of various two-generator subgroups of PSL(2,C). We then examine certain two-generator groups which arise as extremals in various geometric problems in the theory of Kleinian groups, in particular those encountered in efforts to determine the smallest co-volume, the Margulis constant and the minimal distance between el...

He Debiao*, Chen Jianhua, Hu Jin School of Mathematics and Statistics,Wuhan University, Wuhan 430072, Hubei, China Abstract: A random number generator based on the operation of isogenies between elliptic curves over finite fields Fp is proposed. By using the proposed generator together with the isogeny cryptography algorithm, which is against the attack of quantum computer, we can save hardware...

For low power wind energy or micro-hydel applications of the order of 1-10KW, the lowest cost can be achieved if the generator is a simple squirrel cage induction motor used as a self excited induction generator (SEIG). The induction generator output can be rectified to produce a DC Bus from which a single phase inverter can feed the power supply grid. A SEIG requires capacitors to be connected...