• Title/Summary/Keyword: Harmonic Resonance

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Active Nonlinear Vibration Absorber for a Nonlinear System with a Time Delay Acceleration Feedback under the Internal Resonance, Subharmonic, Superharmonic and Principal Parametric Resonance Conditions Simultaneously

  • Mohanty, S;Dwivedy, SK
    • Journal of Aerospace System Engineering
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    • v.13 no.5
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    • pp.9-15
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    • 2019
  • In this paper, dynamic analysis of a nonlinear active vibration absorber is conducted with a time delay acceleration feedback to suppress the vibration of a nonlinear single degree of freedom primary system. The primary system consisting of linear and nonlinear cubic springs, mass, and damper is subjected to the multi-harmonic hard excitation with a parametric excitation. It is proposed to reduce the vibration of the primary system and the absorber by using a lead zirconate titanate (PZT) stack actuator in series with a spring in the absorber which configures as an active vibration absorber. The method of multiple scales (MMS) is used to obtain the approximate solution of the system under the internal resonance, subharmonic, superharmonic, and principal parametric resonance conditions simultaneously. Frequency and time responses of the system are investigated considering a delay in the feedback for the various parameters of the absorber configuration and controlling force.

An Adaptive Digital Notch Filter for Stabilization of Single-Phase Grid-Connected Inverters With LCL Filter (LCL 필터가 결합된 단상 계통연계형 인버터의 안정화를 위한 적응형 디지털 노치 필터)

  • Heo, Jin-Yong;Kim, Hak-Soo;Nho, Eui-Cheol
    • The Transactions of the Korean Institute of Power Electronics
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    • v.26 no.5
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    • pp.307-314
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    • 2021
  • Even though the LCL filters have superior harmonic attenuation ability to L filters, stability has always been an issue. The system could be unstable because of the resonance phenomenon, especially when digital controller is used. Adding a notch filter to the compensator is one approach to solve the problem. Resonance phenomenon can be inhibited by aligning notch frequency to system resonance frequency. However, resonance frequency variation can be obtained because the actual system has a nonstationary characteristic. Therefore, the system could be unstable, where the system parameters are changed when the conventional notch filter is used. An adaptive digital notch filter that stabilizes the system even system parameters are changed. Simulation and experiment results are provided to verify the validity of the proposed adaptive filter.

Harmonic Analysis Model based on PSCAD/EMTDC

  • Lee, Han-Min;Lee, Chang-Mu;Jang, Gil-Soo;Kwon, Sae-Hyuk
    • KIEE International Transactions on Power Engineering
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    • v.4A no.3
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    • pp.115-121
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    • 2004
  • This paper presents the model for an AC electric railway system using the PSCAD/EMTDC program. It is composed of a scott-transformer, an auto-transformer, catenary and electric trains, etc. After obtaining the models of the fundamental elements describing the AC electric railway system and its behavior, we have analyzed and tested an actual AC electric railway system focused on the amplification of harmonic current to verify the proposed model. The simulation results from the proposed approach and the measurement data from the test are described.

Characteristics Analysis of Induction Motor by Operation of Non- linear Loads under the 3-phase 4-wire grid system (3상 4선식에서 비선형 부하의 운전시 유도전동기의 특성 해석)

  • Kim, Jong-Gyeum;Park, Young-Jeen;Lee, Eun-Wong
    • Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
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    • 2006.05a
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    • pp.43-48
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    • 2006
  • This paper presents a scheme on the characteristics of induction motor under the combination of linear & non-linear loads at the three phase 4-wire power distribution system. Under the combination operation of single & three phase load, voltage unbalance will be generated and current unbalance will be more severe by the dropped voltage quality. All power electronic converters used in different types of electronic systems can increase harmonic disturbances by injecting harmonic currents directly into the feeder grid of three phase 4-wire. Harmonic current may cause torque to decrease. Moors may also overheat or become noisy and torque oscillation in the rotor can lead to mechanical resonance and vibration.

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Large deformations of a flexural frame under nonlinear P-delta effects

  • Afshar, Dana;Afshar, Majid Amin
    • Earthquakes and Structures
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    • v.22 no.5
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    • pp.517-526
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    • 2022
  • In this paper, nonlinear P-delta effects are studied on the seismic performance, and the modal responses of a flexural frame, considering large deformations. Using multiple scales method, the nonlinear differential equations of motion are estimated, and the nonlinear interactions between the frame's degrees of freedom are outcropped. The results of time and frequency domain analyzes of a dynamic model are examined under internal resonance cases, and the linear and nonlinear responses are investigated in each modal cases. Also, changing the modal responses with respect to the amplitude and frequency of the harmonic forces is evaluated. It is shown that the dominant absorption of energy is in the first natural frequency of the frame, in the case of earthquake excitation, and when a harmonic force is applied to the frame, the peaks of the frequency domain responses depending on the frequency of harmonic force are in the first, and second or third natural frequency of the structure.

Design of Modified Spiral Monopole Printed Antenna for Dual Band Operation (이중 대역 동작을 위한 변형 스파이럴 모노폴 인쇄형 안테나 설계)

  • Cheong, Sae-Han-Sol;Jung, Jin-Woo;Lim, Yeong-Seog
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.21 no.9
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    • pp.933-939
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    • 2010
  • In this paper, modified spiral monopole printed antenna for dual band operation in GPS(1.57~1.577 GHz) and WiBro(2.3~2.4 GHz), WLAN(2.4~2.48 GHz) is proposed. To control the frequency ratio of the antenna for dual band operation freely, distance between inner lines of the spiral is diversified by using the different current distribution between basic resonance frequency of spiral monopole antenna and harmonic resonance frequency$(3\lambda_H/4)$. And also the branch line is inserted. Bandwidth(-10 dB) of the antenna is measured 140 MHz(1.47~1.61 GHz) in basic resonance frequency and 420 MHz(2.29~2.71 GHz) in harmonic resonance frequency$(3\lambda_H/4)$. The peak antenna gains are measured 2.825 dBi in GPS(1.57 GHz), and 3.65 dBi in WiBro(2.35 GHz), and 4.564 dBi in WLAN(2.44 GHz).

A Study on Tuning Factor(δ) and Quality Factor(Q) Values in Design of Single-Tuned Passive Harmonic Filters (단일동조 수동고조파필터 설계시의 동조계수(δ) 및 양호도(Q)값 연구)

  • Cho, Young-Sik;Cha, Han-Ju
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.59 no.1
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    • pp.64-70
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    • 2010
  • This paper presents how to decide on tuning factor(${\delta}$) and quality factor(Q) values in design of single-tuned passive harmonic filters. Tuning factor(${\delta}$) and quality factor(Q) values have to consider before decision on circuit parameters of passive filters. A Study on these two value has not been scarcely performed and only experienced values has been used in passive harmonic filter design by far. As a experienced value, in cases of 5th and 7th filter, tuning factor(${\delta}$) is about 0.94 and 0.96 respectively and quality factor(Q) is, in all cases of, 50. If Single-tuned passive harmonic filter will be off-tuned, performance of filter will be decreased steeply and occur to parallel resonance between system reactance and filter capacitance. Therefore During the operation, In order not to off-tuning, Filter must be tuned at former order than actual tuning order. This is the same that total impedance of filter must have a reactive impedance. In this paper, Tuning factor(${\delta}$) is decided via example of real system and using the bode-plot and then performance of filters confirmed by filter current absorbtion rate. And Quality factor(Q) decided using the bode plot in example system and then performance of filters confirmed by filter current absorbtion rate also, which makes a calculated filter parameters to satisfy IEEE-519 distortion limits. Finally, Performance of the designed passive harmonic filter using the tuning factor(${\delta}$) and quality factor(Q) values, decided in this paper is verified by experiment and shows that 5th, 7th, 9th, 11th and 13th current harmonic distortions are decreased within IEEE-519 distortion limits, respectively.

Influence of polled direction on the stress distribution in piezoelectric materials

  • Ilhan, Nihat;Koc, Nagihan
    • Structural Engineering and Mechanics
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    • v.54 no.5
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    • pp.955-971
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    • 2015
  • In this paper, the influence of the polled direction of piezoelectric materials on the stress distribution is studied under time-harmonic dynamical load (time-harmonic Lamb's problem). The system considered in this study consists of piezoelectric covering layer and piezoelectric half-plane, and the harmonic dynamical load acts on the free face of the covering layer. The investigations are carried out by utilizing the exact equations of motion and relations of the linear theory of electro-elasticity. The plane-strain state is considered. It is assumed that the perfect contact conditions between the covering layer and half-plane are satisfied. The boundary value problems under consideration are solved by employing Fourier exponential transformation techniques with respect to coordinates directed along the interface line. Numerical results on the influence of the polled direction of the piezoelectric materials such as PZT-5A, PZT-5H, PZT-4 and PZT-7A on the normal stresses, shear stresses and electric potential acting on the interface plane are presented and discussed. As a result of the analyses, it is established that the polled directions of the piezoelectric materials play an important role on the values of the studied stresses and electric potential.

Dynamic analysis of a transversely isotropic non-classical thin plate

  • Fadodun, Odunayo O.;Borokinni, Adebowale S.;Layeni, Olawanle P.;Akinola, Adegbola P.
    • Wind and Structures
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    • v.25 no.1
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    • pp.25-38
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    • 2017
  • This study investigates the dynamic analysis of a transversely isotropic thin plate. The plate is made of hyperelastic John's material and its constitutive law is obtained by taken the Frechect derivative of the highlighted energy function with respect to the geometry of deformation. The three-dimensional equation governing the motion of the plate is expressed in terms of first Piola-Kirchhoff's stress tensor. In the reduction to an equivalent two-dimensional plate equation, the obtained model generalizes the classical plate equation of motion. It is obtained that the plate under consideration exhibits harmonic force within its planes whereas this force varnishes in the classical plate model. The presence of harmonic forces within the planes of the considered plate increases the natural and resonance frequencies of the plate in free and forced vibrations respectively. Further, the parameter characterizing the transversely isotropic structure of the plate is observed to increase the plate flexural rigidity which in turn increases both the natural and resonance frequencies. Finally, this study reinforces the view that non-classical models of problems in elasticity provide ample opportunity to reveal important phenomena which classical models often fail to apprehend.