We present results from a preliminary study on modeling Laser wakefield acceleration (LWFA) with OSIRIS in a Lorentz boosted frame using a quasi-3D algorithm. In the quasi-3D algorithm, the fields and currents are expanded into azimuthal harmonics and only a limited number of harmonics are kept. Field equations in (r, z) space are solved for a desired number of harmonics in φ. To suppress the n...

This paper presents the harmonic state space (HSS) modeling of a three-phase modular multilevel converter (MMC). MMC is a converter system with a typical multi-frequency response due to its significant harmonics in the arm currents, capacitor voltages, and control signals. These internal harmonic dynamics can have a great influence on the operation characteristics of MMC. However, the conventio...

The angular factors of atomic orbitals are real spherical harmonics. This is independent of the choice of basis function. In the course of molecular electronic structure calculations, numerous rotations of real spherical harmonics are required in a suitably defined space-fixed co-ordinate system. The origin and axes are space-fixed and rotation matrices defined on a basis of spherical harmonics...

We introduce a data-driven approach to building reduced dynamical models through manifold learning; the latent space is discovered using Diffusion Maps (a learning technique) on time series data. A second round of those coordinates allows approximation models. This enables mapping back full ambient (what called lifting); it also state functions interest in terms coordinates. In our work, we dev...

In recent decades, the utilization of highly automatic electric equipments has resulted in enormous economic loss. Thus, the power suppliers as well as the power consumers are very much concerned about the power quality issues and compensation approaches. In order to deal with this issue, Active Power Filter (APF) has been considered as an attractive solution due to its significant harmonic com...

This paper proposes a novel extended electromotive force (EEMF) observer of dual three-phase permanent magnet synchronous motor (DTP-PMSM) operable to the position sensorless overmodulation drive. The drive occurs in current harmonics, and estimated EEMF also contains harmonic components, leading ripple error position. Based on vector space decomposition (VSD) utilized DTP-PMSM control, propose...

power electronic converters are non-linear time-dependent systems whose exact analysis without the use of computers is very difficult, and even using computer softwares requires a long time. use of the state space averaging method, as will be mentioned, in addition to simplifying the analysis procedure which is a result of converting a time-dependent system to a time-independent one, reduces th...

Nowadays with increasing use of numerous nonlinear loads, voltage and current harmonics in power systems are one of the most important problems power engineers encounter. Many of these nonlinear loads, because of their dynamic natures, inject time-varying harmonics into power system. Common techniques applied for harmonics measurement and assessment such as FFT have significant errors in presen...