In this Paper, complete models of three and six phase self commutated synchronous machine drives are presented, considering the effects of both time and space harmonics. First, the equations for calculation of machine inductances are developed. Next, "thyristor-inverter-electric machine" set is modeled in order to derive all the equations for conduction and commutation states. Finally, the resu...

in this paper, the operation of helix traveling wave tube in interaction region is investigated by using a three dimensional large signal lagrangian model in frequency domain. the complete simulation of these tubes is essential for optimum design and minimum manufacturing cost. this 3d code can compute interception current (or current losses ), beam radius changes in interaction region and the ...

Biological rhythms such as circadian rhythms, biochemical rhythms and neural oscillators are based on the mathematical model of the theory of harmonic oscillators. These are solutions of certain second-order differential equations. They can also be viewed as spherical harmonics on the circle in the two-dimensional Euclidean space. The spherical harmonics on (n-1)-spheres and, more generally, th...

A numerical generation method of hyperspherical harmonics for tetra-atomic systems, in terms of row-orthonormal hyperspherical coordinates-a hyper-radius and eight angles-is presented. The nine-dimensional coordinate space is split into three three-dimensional spaces, the physical rotation, kinematic rotation, and kinematic invariant spaces. The eight-angle principal-axes-of-inertia hyperspheri...

The spherical harmonics are the angular portion of the solution to the Laplace equation in spherical coordinates and provide a frequency-basis for representing functions on the sphere. The spherical harmonic lighting, as defined by Robin Green at Sony Computer Entertainment in 2003, is a family of real-time rendering techniques that may produce certain realistic shading and shadowing with relat...

A novel diagonalized multilevel fast multipole method (MLFMM) for time harmonic Maxwell’s equations is proposed which realizes considerable memory savings without compromising accuracy and computational speed. The improvement is achieved by expanding the k-space integrals over the unit sphere in spherical harmonics. Since the spherical harmonics expansion is carried out for cartesian vector com...

In this paper power system model is represented in a new domain that relates to Multi-Resolution Analysis (MRA) space. By developing mathematical model of elements in this space using Galerkin method, a new alternative method for power system simulation in nonsinusoidal and periodic conditions is developed. The mathematical formulation and characteristics of new proposed space is expressed. Als...

Voltage-Sourced Converter (VSC) is the main component in a VSC-based High Voltage Direct Current (HVDC) system. In addition to the characteristic harmonics, the inter-harmonics could be originated from the characteristic of each converter working at different modulation frequencies, or from a distorting frequency on one or both ac (or dc) systems. The space vector representation of VSC’s switch...

Optimal design of asymmetry passive power filters(PPFs) shall meet the need of harmonics suppression effect. However, harmonics distortion of current in each phase for asymmetry PPFs is different. This makes the dimension of variable space large as capacitors of PPFs in each phase are chosen as variables. Traditional experience-based method has difficulty achieving the optimal solution. In orde...