Intermodulation and harmonics are important in frequency analysis of nonlinear systems. In neuron research, most investigations are taken in studying synchronization between the external stimuli and the output of neuron, but harmonics and intermodulation are often ignored. In this paper, harmonics and intermodulation of the subthreshold FitzHugh-Nagumo neuron are investigated and their magnitud...

electric arc furnace (eaf) is one of the largest loads in electric power systems. it is highly time varying and nonlinear. its reactive power variations cause voltage fluctuations in nearby system which is known as flicker. on the other hand the nonlinear voltage-current characteristic causes strong voltage and current harmonics in eaf. to this end flexible ac transmission systems (facts) techn...

An exact fast algorithm is developed for the direct spin-weighted spherical harmonics transforms of bandlimited spin ±2 functions on the sphere. First, we define spin functions on the sphere and their decomposition in an orthonormal basis of spin-weighted spherical harmonics. Second, we discuss the a priori O(L4) asymptotic complexity of the spin ±2 spherical harmonics transforms, where 2L stan...

Selective Harmonic Elimination Pulse Width Modulation (SHEWM) can eliminate selected low order harmonics by solving nonlinear transcendental equations to obtain the switching angles in advance and achieve precise control. However, when equations, convergence rate solution accuracy of existing intelligent algorithms for multilevel inverter SHEPWM will decrease with increase number angles. In thi...

This paper presents a new control strategy to improve the performance of the PWM Boost Type Rectifier when operating under an unbalanced supply. An analytical solution for harmonic elimination under unbalanced input voltages is obtained resulting in a smooth (constant) power flow from ac to dc side in spite of the unbalanced voltage condition. Based on the analysis of the open loop configuratio...

This paper discusses a renewable energy system connected to dual-function power grid through shunt active filter improve the quality and inject photovoltaic (PV) in presence of nonlinear loads. Disturbance rejection for this electrical network is provided by proposed direct control (DPC) command. The DPC strategy combines fractional order PID controller regulation DC bus voltage with an intelli...

This paper focuses on the application of direct torque control based space vector modulation (DTC-SVM), combined with input–output feedback linearization (IOFL) technique a three-phase dual open-end windings induction motor (DOEWIM) fed by two indirect matrix converters. The main aim integrating non-linear is to overcome drawbacks met within conventional DTC-SVM dual-stator (DSIM), such as and ...

Selective harmonic elimination (SHE) technique is used in power inverters to eliminate specific lower-order harmonics by determining optimum switching angles that are generate Pulse Width Modulation (PWM) signals for multilevel inverter (MLI) switches. Various optimization algorithms have been developed determine the angles. However, these techniques still trapped local optima. This study propo...

Among the symmetries in physics, the rotation symmetry is most familiar to us. It is known that the spherical harmonics serve useful purposes when the world is rotated. Squeeze transformations are also becoming more prominent in physics, particularly in optical sciences and in high-energy physics. As can be seen from Dirac’s light-cone coordinate system, Lorentz boosts are squeeze transformatio...