1 Student, Electrical & Electronics engineering, Siddhartha Institute of Engineering Technology, Telangana, India 2Associate Professor, Electrical & Electronics engineering, Siddhartha Institute of Engineering Technology, Telangana, India ---------------------------------------------------------------------***--------------------------------------------------------------------Abstract In this p...

Abstract In this paper, load frequency control is performed for a two-area power system incorporating high penetration of renewable energy sources. A droop controller type 3 wind turbine used to extract the stored kinetic from rotating masses during sudden disturbances. An auxiliary storage applied achieve effective response. The coot optimization algorithm (COA) allocate optimum parameters fra...

At a conference in Debrecen in October 2010 Nathanson announced some results concerning the arithmetic diameters of certain sets. (See his paper in the present volume.) He proposed some related problems on the representation of integers by sums or differences of powers of 2 and of 3. In this note we prove some results on this problem and the more general problem about the representation by line...

We demonstrate that there are infinitely many integers that cannot be expressed as the sum of two squares of integers and up to two non-negative integer powers of 2.

We refine a recent result of Parsell [22] on the values of the form λ 1 p 1 + λ 2 p 2 + µ 1 2 m 1 + · · · + µ s 2 m s , where p 1 , p 2 are prime numbers, m 1 ,. .. , m s are positive integers, λ 1 /λ 2 is negative and irrational and λ 1 /µ 1 , λ 2 /µ 2 ∈ Q.

We refine a recent result of Parsell [20] on the values of the form λ 1 p 1 + λ 2 p 2 + µ 1 2 m 1 + · · · + µ s 2 m s , where p 1 , p 2 are prime numbers, m 1 ,. .. , m s are positive integers, λ 1 /λ 2 is negative and irrational and λ 1 /µ 1 , λ 2 /µ 2 ∈ Q.

Generalizing results on spin character degrees, we determine for a given conjugacy class of odd type in the double cover of S n spin characters of S n which have the minimal 2-power on this class in their character value. Surprisingly, the Glaisher map plays an important r^ ole here.

In this paper, a scattered context grammar generating all powers of 2 is given.