Given the substitution process of generators using renewable energy sources instead of conventional generators in modern power systems, this paper proposes a Monte Carlo based method to determine an optimal level of this change. At first, LOLE index of the system was calculated without wind power to obtain the reference index. Then, the wind turbine units are replaced with the conventional gene...

We discuss the group theory relevant to the ground-state baryons in large Nc QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of SU(m) as N → ∞ and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-sp...

We discuss the group theory relevant to the ground-state baryons in large Nc QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of SU(m) as N → ∞ and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-sp...

We discuss the group theory relevant to the ground-state baryons in large Nc QCD. For very large representation, the group generators become classical variables. We find the form of the classical generators for the completely symmetric N index representation of SU(m) as N → ∞ and derive an integral formula for the matrix elements of an arbitrary polynomial in the group generators between low-sp...

On the Automorphism Tower of Free Nilpotent Groups Martin Dimitrov Kassabov 2003 In this thesis I study the automorphism tower of free nilpo-tent groups. Our main tool in studying the automorphism tower is to embed every group as a lattice in some Lie group. Using known rigidity results the automorphism group of the discrete group can be embedded into the automorphism group of the Lie group. Th...

permanent magnet synchronous generators (pmsgs) are novel generators which can be used in high-performance wind farms. high efficiency and flexibility in producing electricity from variable rotation make them good candidate for wind power applications. furthermore, because these kinds of generators have no excitation winding, there is no copper loss on rotor; hence, they can operate at high pow...

Let (X, ν) be a probability space and suppose a free group Fm withm generators acts on (X, ν) by measure-preserving transformations. Let {a1, . . . , am} be a set of free generators for Fm and let T1, . . . , Tm : X → X be transformations corresponding to the generators. Write T−i = T −1 i for i = 1, . . . ,m, and set A = {−m, . . . ,−1, 1, . . . ,m}. We also have the action Fm on L1(X, ν), def...

Recently B. Hartwig and the second author found a presentation for the three-point sl2 loop algebra via generators and relations. To obtain this presentation they defined an algebra ⊠ by generators and relations, and displayed an isomorphism from ⊠ to the three-point sl2 loop algebra. We introduce a quantum analog of ⊠ which we call ⊠q. We define ⊠q via generators and relations. We show how ⊠q ...