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Even harmonic resonance-an unusual problem
IEEE Transactions on Industry Applications, 2003The paper is a case study examining the cause, effect and solution of an actual "noncharacteristic" even harmonic problem in an electrochemical plant. While issues concerning "characteristic" harmonics are well documented in the literature, limited information is available describing how noncharacteristic harmonic currents create operational problems ...
exaly +2 more sources
2023
AbstractIn this chapter, we briefly repeat those features of harmonic oscillators that are important for the rest of the book, including second-order differential equations without and with damping and driving, stability of solutions, the transfer matrix formalism, Floquet theory, and linear instability due to parametric ...
Alexander Eichler, Oded Zilberberg
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AbstractIn this chapter, we briefly repeat those features of harmonic oscillators that are important for the rest of the book, including second-order differential equations without and with damping and driving, stability of solutions, the transfer matrix formalism, Floquet theory, and linear instability due to parametric ...
Alexander Eichler, Oded Zilberberg
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2023
AbstractIn this chapter, we proceed from a single resonator to systems of linearly coupled harmonic resonators. The coupling induces beating and nondegenerate normal modes. Parametric (time-dependent) coupling between nondegenerate modes is discussed for the two important cases of driving at the frequency difference and the frequency sum.
Alexander Eichler, Oded Zilberberg
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AbstractIn this chapter, we proceed from a single resonator to systems of linearly coupled harmonic resonators. The coupling induces beating and nondegenerate normal modes. Parametric (time-dependent) coupling between nondegenerate modes is discussed for the two important cases of driving at the frequency difference and the frequency sum.
Alexander Eichler, Oded Zilberberg
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Resonant Perturbations of Harmonic Oscillation
Journal of the London Mathematical Society, 1986The paper considers the asymptotic form as \(x\to \infty\) of solutions of the mth order differential equation \[ \{(iD+a_ 1)(...)(iD+a_ m)+(- 1)^{m-1}r(x)\}y(x)=0\quad (a\leq ...
Eastham, Michael S. P. +1 more
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A practical harmonic resonance guideline for shunt capacitor applications
IEEE Transactions on Power Delivery, 2003 Shunt capacitors are extensively used in power systems for voltage support and power factor correction. The proliferation of harmonic-producing loads significantly increases the possibility of system-capacitor resonance. As a result, a practical and easy-
Wilsun Xu
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Harmonic resonant filters for power electronics
The European Physical Journal Applied Physics, 2007The object of this work is to report a passive filter structure dedicated for power applications. The structure is based on a series combination of elementary notch filters resonating at harmonic frequencies of a base frequency (switching frequency of a converter). A calculation of values of the components used for a given performance is presented.
Daveau, G., Joubert, C., Forest, F.
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Harmonic and Nonlinear Resonances
2015A physical system can be constituted by a single particle or a collection of particles. When a system exhibits a to-and-fro motion it is called an oscillator. A familiar example of an oscillator is a wall-clock pendulum. The oscillation of an oscillator can be periodic, quasiperiodic or even chaotic (which is a bounded nonperiodic motion of a ...
Shanmuganathan Rajasekar +1 more
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Harmonic multiplication using resonant tunneling
Journal of Applied Physics, 1988We propose and demonstrate an odd-harmonic resistive multiplier that exploits the unique current-voltage (I-V) relation of resonant-tunneling diodes. It is shown that efficient odd-harmonic conversion is possible and that even harmonics do not appear because of the antisymmetry of the I-V curve. In addition, with the proper choice of resonant-tunneling
Sollner, T. C.L.G. +3 more
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Harmonic Generation in Mie-Resonant GaAs Nanowires
2019 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), 2019High-refractive-index nanoparticles that support Mie resonances are emerging as alternatives to plasmonic nanostructures [1] as nonlinear nanophotonic devices with low losses and increased functionalities [2]. Second- and third-harmonic generation (SHG, THG) have been so far investigated in isolated and arrayed Si and GaAs resonant nanoparticles with ...
De Ceglia D. +5 more
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