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Journal articles on the topic 'Harmonic Analysis/Applications'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 January 2023

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1

Wu, Shan-He, Imran Abbas Baloch, and İmdat İşcan. "On Harmonically(p,h,m)-Preinvex Functions." Journal of Function Spaces 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/2148529.

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We define a new generalized class of harmonically preinvex functions named harmonically(p,h,m)-preinvex functions, which includes harmonic(p,h)-preinvex functions, harmonicp-preinvex functions, harmonich-preinvex functions, andm-convex functions as special cases. We also investigate the properties and characterizations of harmonically(p,h,m)-preinvex functions. Finally, we establish some integral inequalities to show the applications of harmonically(p,h,m)-preinvex functions.

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2

Filali, Mahmoud. "Harmonic analysis and applications." Kybernetes 41, no. 1/2 (2012): 129–44. http://dx.doi.org/10.1108/03684921211213160.

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3

Christ, Michael, Detlef Müller, and Christoph Thiele. "Real Analysis, Harmonic Analysis and Applications." Oberwolfach Reports 11, no. 3 (2014): 1861–931. http://dx.doi.org/10.4171/owr/2014/34.

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4

Christ, Michael, Detlef Müller, and Christoph Thiele. "Real Analysis, Harmonic Analysis, and Applications." Oberwolfach Reports 14, no. 3 (2018): 2101–64. http://dx.doi.org/10.4171/owr/2017/34.

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5

Christ, Michael, Detlef Müller, Christoph Thiele, and Ana Vargas. "Real Analysis, Harmonic Analysis and Applications." Oberwolfach Reports 17, no. 2 (2021): 961–75. http://dx.doi.org/10.4171/owr/2020/18.

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6

Damjanović, Ivana, Frano Tomašević, Ivica Pavić, Božidar Filipović-Grčić, and Alan Župan. "Harmonic Performance Analysis of Static Var Compensator Connected to the Power Transmission Network." Journal of Energy - Energija 67, no. 2 (2022): 13–22. http://dx.doi.org/10.37798/201867276.

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The static var compensator (SVC) is a device which is designed to compensate reactive power, increase voltage stability and to reduce voltage fluctuations. Thyristor controlled reactors (TCRs) are composed of reactors in series with bidirectional pair of thyristors. Current through reactors can be continuously controlled by changing the firing angle of thyristor valves, thus the inductive power can be easily controlled. Typical applications of TCRs in AC systems are voltage stabilization and temporary overvoltage reduction, stability improvement, damping of power oscillations and load balancing. In this paper, harmonic performance analysis of SVC equipped with TCRs is presented. SVCs utilizing TCRs generate harmonic currents and therefore it is necessary to determine the effect of harmonics generated by the SVC on the power system and its elements. This includes interaction of the SVC with the system, the SVC performance under balanced and unbalanced operating conditions and finally, evaluation of countermeasures such as installation of harmonic filters. In order to carry out these analysis, it is necessary to determine harmonic characteristics of the network at the point of SVC connection, existing levels of harmonics, and to know appropriate standards regarding acceptable harmonic levels in the power system. Since harmonic distortions in the system are caused by the interaction between SVC and the system, all system contingencies which may affect system’s frequency response should be evaluated. Detailed power system model should be considered to make sure that parallel resonance points of system do not directly coincide with characteristic harmonics from the SVC. Harmonics generated by SVCs are largely dependent on the operating point within the SVC characteristic. A conservative approach is to use the maximum values of harmonics generated within the spectrum irrespective of the operating point. The results of harmonic performance analysis are important for appropriate design of SVC. Harmonic performance analysis related to SVC application which are presented in this paper include the determination of: frequency response of the transmission network impedance required for the specification and design of filters; the effects of SVC generated harmonics on the power system; the overall filter requirements and countermeasures to reduce harmonics to acceptable levels.

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7

Choe, Boo Rim, Hyungwoon Koo, and Heungsu Yi. "Projections for harmonic Bergman spaces and applications." Journal of Functional Analysis 216, no. 2 (2004): 388–421. http://dx.doi.org/10.1016/j.jfa.2004.02.014.

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8

Odyniec, Michal, and William Overstreet. "New applications of harmonic balance analysis." International Journal of Microwave and Millimeter-Wave Computer-Aided Engineering 5, no. 3 (1995): 224–33. http://dx.doi.org/10.1002/mmce.4570050309.

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9

Ji, Yanpeng, Bin Li, and Jingcheng Sun. "Harmonic Analysis on Torque Ripple of Brushless DC Motor Based on Advanced Commutation Control." Journal of Control Science and Engineering 2018 (2018): 1–9. http://dx.doi.org/10.1155/2018/3530127.

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This paper investigates the relationship between current, back electromotive force (back-EMF), and torque for permanent-magnet brushless DC (PM BLDC) motors under advanced commutation control from the perspective of harmonics. Considering that the phase current is the influencing factor of both torque and torque ripple, this paper firstly analyzes the effects of advanced commutation on phase current and current harmonics. And then, based on the harmonics of the phase current and back-EMF, the torque harmonic expressions are deduced. The expressions reveal the relationship of harmonic order between the torque, phase current, and back-EMF and highlight the different contribution of individual torque harmonic to the total torque ripple. Finally, the proposed harmonic analysis method is verified by the experiments with different speed and load conditions.

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10

Mekhamer, S. F., A. Y. Abdelaziz, and S. M. Ismael. "Design Practices in Harmonic Analysis Studies Applied to Industrial Electrical Power Systems." Engineering, Technology & Applied Science Research 3, no. 4 (2013): 467–72. http://dx.doi.org/10.48084/etasr.309.

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Power system harmonics may cause several problems, such as malfunctions of electrical equipment, premature equipment failures and plant shutdowns. Accordingly, mitigation of these harmonics is considered an important target especially for industrial applications where any short downtime period may lead to great economic losses. Harmonic analysis studies are necessary to analyze the current and voltage harmonic levels and check if these levels comply with the contractual or international standard limits. If the studies reveal that the preset limits are exceeded, then a suitable harmonic mitigation technique should be installed. Harmonic analysis studies in the industrial electrical systems are discussed in many references. However, a comprehensive procedure for the steps required to perform a harmonic study is rarely found in the literature even though it is strongly needed for design engineers. This paper provides a comprehensive procedure for the steps required to perform a harmonic study in the form of a flowchart, based on industrial research and experience. Hence, this paper may be considered as a helpful guide for design engineers and consultants of the industrial sector.

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11

Gundy, R. F. "Some martingale inequalities with applications to harmonic analysis." Journal of Functional Analysis 87, no. 1 (1989): 212–30. http://dx.doi.org/10.1016/0022-1236(89)90008-6.

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12

Onal, Yasemin. "Analysis of a new SEPIC AC–DC PFC converter for light emitting diode applications." Emerging Materials Research 11, no. 1 (2022): 51–59. http://dx.doi.org/10.1680/jemmr.21.00061.

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Active power factor correction (PFC) converters are used to increase the power factor and improve the total harmonic distortion as a result of reducing the harmonics in the current. In this paper, a new bridgeless single-ended primary inductor converter (SEPIC) topology used in light emitting diode (LED) load is proposed to obtain near-unity power factor. By eliminating the input bridge in the bridge PFC converter, the total harmonics distortion is improved and a lower cost is obtained. The reactive power control is used to generate the reference current signal in the proposed converter to control the LED current. To demonstrate the applicability of the proposed topology and to compare its performance with the bridge SEPIC topology, PSIM circuit simulation was used, and an experimental prototype was performed. In the experimental study, 25 Vrms input voltage was applied, and 10 V DC voltage was obtained at the output. Using the proposed converter, the total harmonic distortion value was reduced from 5.722% to 1.837%, and the power factor was increased to 0.999. The experimental and simulation results showed that the total harmonic distortion value of the input current improved and that the proposed SEPIC PFC converter for low-power circuits, particularly in LED applications, is a very good option.

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13

B. Laursen, Kjeld. "Decomposable multipliers and applications to harmonic analysis." Studia Mathematica 101, no. 2 (1992): 193–214. http://dx.doi.org/10.4064/sm-101-2-193-214.

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14

Patterson, S. J. "HARMONIC ANALYSIS ON SYMMETRIC SPACES AND APPLICATIONS." Bulletin of the London Mathematical Society 22, no. 4 (1990): 402–4. http://dx.doi.org/10.1112/blms/22.4.402.

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15

Foreman, M. G. G., J. Y. Cherniawsky, and V. A. Ballantyne. "Versatile Harmonic Tidal Analysis: Improvements and Applications." Journal of Atmospheric and Oceanic Technology 26, no. 4 (2009): 806–17. http://dx.doi.org/10.1175/2008jtecho615.1.

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Abstract New computer software that permits more versatility in the harmonic analysis of tidal time series is described and tested. Specific improvements to traditional methods include the analysis of randomly sampled and/or multiyear data; more accurate nodal correction, inference, and astronomical argument adjustments through direct incorporation in the least squares matrix; multiconstituent inferences from a single reference constituent; correlation matrices and error estimates that facilitate decisions on the selection of constituents for the analysis; and a single program that analyzes one- or two-dimensional time series. This new methodology is evaluated through comparisons with results from old techniques and then applied to two problems that could not have been accurately solved with older software. They are (i) the analysis of ocean station temperature time series spanning 25 yr, and (ii) the analysis of satellite altimetry from a ground track whose proximity to land has led to significant data dropout. This new software is free as part of the Institute of Ocean Sciences (IOS) Tidal Package and can be downloaded, along with sample input data and an explanatory readme file.

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16

Dung, Nguyen Thac, and Chiung-Jue Anna Sung. "Analysis of weighted p-harmonic forms and applications." International Journal of Mathematics 30, no. 11 (2019): 1950058. http://dx.doi.org/10.1142/s0129167x19500587.

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In this paper, we study weighted [Formula: see text]-harmonic forms on smooth metric measure space [Formula: see text] with a weighted Sobolev or a weighted Poincaré inequality. When [Formula: see text] is constant, we derive a splitting theorem for Kähler manifolds with maximal bottom spectrum for the [Formula: see text]-Laplacian. For general [Formula: see text] we also obtain various splitting and vanishing theorems when the weighted curvature operator of [Formula: see text] is bounded below. As applications, we conclude Liouville property for weighted [Formula: see text]-harmonic functions and [Formula: see text]-harmonic maps.

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17

Yahya, Salah I., Abbas Rezaei, and Yazen A. Khaleel. "Design and Analysis of a Wide Stopband Microstrip Dual-band Bandpass Filter." ARO-THE SCIENTIFIC JOURNAL OF KOYA UNIVERSITY 9, no. 2 (2021): 83–90. http://dx.doi.org/10.14500/aro.10908.

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A novel configuration of a dual-band bandpass filter (BPF) working as a harmonic attenuator is introduced and fabricated. The proposed filter operates at 3 GHz, for UHF and SHF applications, and 6.3 GHz, for wireless applications. The presented layout has a symmetric structure, which consists of coupled resonators. The designing of the proposed resonator is performed by introducing a new LC equivalent model of coupled lines. To verify the LC model of the coupled lines, the lumped elements are calculated. The introduced filter has a wide stopband up to 85 GHz with 28th harmonic suppression, for the first channel, and 13th harmonic suppression, for the second channel. The harmonics are attenuated using a novel structure. Also, the proposed BPF has a compact size of 0.056 λg2. Having several transmission zeros (TZs) that improve the performance of the presented BPF is another feature. The proposed dual-band BPF is fabricated and measured to verify the design method, where the measurement results confirm the simulations.

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18

Wang, Xiao Bo, Xin Tong Wang, and Jian Huang. "Analysis of Air Power Switch Work under Harmonic." Applied Mechanics and Materials 599-601 (August 2014): 823–26. http://dx.doi.org/10.4028/www.scientific.net/amm.599-601.823.

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With the improvement of people's living standards, a wide variety of home appliances gradually into the ordinary family. In these appliances, there are many various nonlinear loads, nonlinear loads generated in the process of using a large number of high harmonics, and sold on the market are mostly air switch 50Hz power under conditions of use in accordance with the design, which kinds of air switch is suitable for applications in which high harmonic supply. This article will explore this issue through theoretical research and testing methods.

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19

De Haas, W. Bas, José Pedro Magalhães, Frans Wiering, and Remco C. Veltkamp. "Automatic Functional Harmonic Analysis." Computer Music Journal 37, no. 4 (2013): 37–53. http://dx.doi.org/10.1162/comj_a_00209.

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Music scholars have been studying tonal harmony intensively for centuries, yielding numerous theories and models. Unfortunately, a large number of these theories are formulated in a rather informal fashion and lack mathematical precision. In this article we present HarmTrace, a functional model of Western tonal harmony that builds on well-known theories of tonal harmony. In contrast to other approaches that remain purely theoretical, we present an implemented system that is evaluated empirically. Given a sequence of symbolic chord labels, HarmTrace automatically derives the harmonic relations between chords. For this, we use advanced functional programming techniques that are uniquely available in the Haskell programming language. We show that our system is fast, easy to modify and maintain, robust against noisy data, and that its harmonic analyses comply with Western tonal harmony theory.

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20

Coifman, R. R., Y. Meyer, and E. M. Stein. "Some new function spaces and their applications to Harmonic analysis." Journal of Functional Analysis 62, no. 2 (1985): 304–35. http://dx.doi.org/10.1016/0022-1236(85)90007-2.

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21

Bennett, Jonathan, and Neal Bez. "Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis." Journal of Functional Analysis 259, no. 10 (2010): 2520–56. http://dx.doi.org/10.1016/j.jfa.2010.07.015.

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22

He, Qiang, Chao Fan, Guang Yang, Huiqi Li, Jiadong Li, and Xiaogang Chen. "Experimental Analysis of Transformer Core Vibration and Noise under Inter-Harmonic Excitation." Applied Sciences 12, no. 3 (2022): 1758. http://dx.doi.org/10.3390/app12031758.

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With the wide application of power electronic devices and nonlinear loads, the resulting inter-harmonic pollution is becoming more and more serious in the power system. As important equipment in power systems, transformers have always been the focus of research. However, there are few studies on the abnormal increase in vibration and noise caused by inter-harmonic excitation. In this work, a transformer core vibration and noise measurement platform that can generate arbitrary inter-harmonic excitations was built. The real-time vibration displacement waveforms of the core model under normal and inter-harmonic conditions were experimentally measured as well as the surrounding noise level amplitude and spectrum analysis result. The influence law of excitation of intermediate harmonic content and frequency on core vibration displacement and surrounding sound pressure level was summarized. The work of this paper lays a theoretical foundation for studying the vibration and noise of power transformers and other equipment under inter-harmonics.

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23

Skvortsov. "A-INTEGRAL AND ITS APPLICATIONS IN HARMONIC ANALYSIS." Real Analysis Exchange 25, no. 1 (1999): 115. http://dx.doi.org/10.2307/44153049.

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24

., Y. Seetharama Rao. "HARMONIC ANALYSIS OF COMPOSITE PROPELLER FOR MARINE APPLICATIONS." International Journal of Research in Engineering and Technology 01, no. 03 (2012): 257–60. http://dx.doi.org/10.15623/ijret.2012.0103010.

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25

Stokolos, A. M. "Some Applications of Gallagher's Theorem in Harmonic Analysis." Bulletin of the London Mathematical Society 33, no. 2 (2001): 210–12. http://dx.doi.org/10.1112/blms/33.2.210.

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26

Edwards, D. A. "Some Applications of Choquet Theory to Harmonic Analysis." Journal of the London Mathematical Society 59, no. 2 (1999): 657–68. http://dx.doi.org/10.1112/s0024610799007085.

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27

Runde, Volker. "Applications of operator spaces to abstract harmonic analysis." Expositiones Mathematicae 22, no. 4 (2004): 317–63. http://dx.doi.org/10.1016/s0723-0869(04)80013-6.

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28

Dubiel, S. M., J. Cieślak, and F. E. Wagner. "Harmonic analysis of Mössbauer spectra and its applications." Il Nuovo Cimento D 18, no. 2-3 (1996): 269–73. http://dx.doi.org/10.1007/bf02458903.

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29

Kruchinina, Irina Yu, Yuvenaliy Khozikov, Alexandr Liubimtsev, and Valentina Paltceva. "Harmonic losses in high-speed PM synchronous machines." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 36, no. 3 (2017): 683–91. http://dx.doi.org/10.1108/compel-09-2016-0401.

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Purpose The purpose of this paper is the development of a new numerical method for the calculation of the air-gap magnetic flux harmonics in synchronous machines with permanent magnet (PM) excitation. The harmonic analysis results are used as input data for the eddy-current loss calculation and for the rotor heating evaluation. Design/methodology/approach The method is based on the finite element analysis (FEA). The model takes into account toothed stator design, rotor asymmetrical magnetic reluctance and saturation. At first, a series of static DC magnetic (magnetostatic) simulations is run. Each problem corresponds to specific rotor position and the momentary stator winding currents. The Fourier analysis performed for each problem yields the harmonic spectrum variation in time. Then, a series of AC magnetic (time-harmonic) simulations is run. Each problem corresponds to a specific harmonic. The result is the eddy-current losses distribution. After total loss is calculated, the heat transfer analysis is conducted. Findings The analysis reveals that 90 per cent of losses are located in the sleeve that holds PMs together. Rotor eccentricity brings even harmonics of low magnitude that have little impact on heating. Originality/value In general, the study requires transient electromagnetic analysis with motion. The purposed method allows to simplify the problem. The method is based on static and quasi-static (time-harmonic) problems simulation. It is fast and highly automated. The method allows simultaneous taking into account of tooth-order harmonics, stator winding harmonics and eccentricity for heating calculation.

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30

Fuglede, Bent. "Value distribution of harmonic and finely harmonic morphisms and applications in complex analysis." Annales Academiae Scientiarum Fennicae Series A I Mathematica 11 (1986): 111–35. http://dx.doi.org/10.5186/aasfm.1986.1103.

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31

Tayab, U. B., and M. A. Al Humayun. "Modeling and Analysis of a Cascaded Battery-Boost Multilevel Inverter Using Different Switching Angle Arrangement Techniques." Engineering, Technology & Applied Science Research 7, no. 2 (2017): 1450–54. http://dx.doi.org/10.48084/etasr.1094.

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Multilevel inverters have the capability to produce an AC staircase output waveform without using a bulky passive filter. Therefore, the multilevel inverters are gaining more and more popularity, among the different types of inverters, for photovoltaic applications in the modern era of technology. However, if the switching angle arrangement technique is not selected appropriately then the total harmonic distortion of the voltage output waveform may become undesirable. In this paper, Half-Equal-Phase, Feed-Forward and Selective Harmonics Elimination Pulse Width Modulation switching angle arrangement techniques at different power factors (i.e., 1.0, 0.75 and 0.50) are applied to a cascaded battery-boost inverter. PSIM software is used to evaluate and compare the performance of a 9-level cascaded battery-boost inverter with three switching angle arrangement techniques at power factors of 1.0, 0.75, and 0.50, respectively. Simulation results show that the Selective Harmonics Elimination Pulse Width Modulation technique can produce an output voltage and current waveform with the lowest total harmonic distortion. On the other hand, the output current waveform produced by power factor 0.50 had the lowest total harmonic distortion.

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32

Vivas-Cortez, Miguel, Muhammad Uzair Awan, Muhammad Zakria Javed, Muhammad Aslam Noor та Khalida Inayat Noor. "A Study of Uniform Harmonic χ -Convex Functions with respect to Hermite-Hadamard’s Inequality and Its Caputo-Fabrizio Fractional Analogue and Applications". Journal of Function Spaces 2021 (3 грудня 2021): 1–12. http://dx.doi.org/10.1155/2021/7819882.

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In this paper, we introduce the notion of uniform harmonic χ -convex functions. We show that this class relates several other unrelated classes of uniform harmonic convex functions. We derive a new version of Hermite-Hadamard’s inequality and its fractional analogue. We also derive a new fractional integral identity using Caputo-Fabrizio fractional integrals. Utilizing this integral identity as an auxiliary result, we obtain new fractional Dragomir-Agarwal type of inequalities involving differentiable uniform harmonic χ -convex functions. We discuss numerous new special cases which show that our results are quite unifying. Finally, in order to show the significance of the main results, we discuss some applications to means of positive real numbers.

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33

Chatterjee, Arunava, Sankar Das, and Debashis Chatterjee. "Modelling and Smart Analysis of an Inverter-Coupled Transformer for Renewable Applications." Modelling, Measurement and Control A 94, no. 1-4 (2021): 8–13. http://dx.doi.org/10.18280/mmc_a.941-402.

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This paper studies modelling and simulation for an inverter coupled transformer and the effects caused by source side harmonics on it. It also provides an insight to smart analysis and control of the same. These harmonics are present in most power electronic sources alike an inverter which is frequently used in renewable applications. The extended effect of source side harmonics on transformer primary can be shown on the transformer core hysteresis curve. The effect of harmonics is observed on the magnetization cycle with an electronic integrator circuit. The research uses a modified hysteresis model for the core with the effect of source harmonics taken in to consideration. The simplified hysteresis curve is plotted without removing the transformer from operation with measured data of voltages. Internet-of-things based smart control is proposed for remote operation and control of the transformer especially for use in remote microgrids and wind-farms. The proposed research is an operative tool for measurement and analysis of source harmonic effects on the core of the transformer. The outcome can be used for taking safety measures for extending the operating life of the transformer. The MATLAB/Simulink made simulations along with suitable experiments authenticate the proposed research.

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34

Butt, Saad Ihsan, Muhammad Tariq, Adnan Aslam, Hijaz Ahmad, and Taher A. Nofal. "Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications." Journal of Function Spaces 2021 (February 11, 2021): 1–12. http://dx.doi.org/10.1155/2021/5533491.

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In this work, we introduce the idea and concept of m –polynomial p –harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties. As a result, several new integral inequalities are established. Finally, we investigate some applications for means. The amazing techniques and wonderful ideas of this work may excite and motivate for further activities and research in the different areas of science.

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35

Vese, Luminita A., and Stanley J. Osher. "Numerical Methods forp-Harmonic Flows and Applications to Image Processing." SIAM Journal on Numerical Analysis 40, no. 6 (2002): 2085–104. http://dx.doi.org/10.1137/s0036142901396715.

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36

Wang, Yifan, and Guozhu Chen. "A multi-valve controlled saturable reactor and its harmonic optimization." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33, no. 4 (2014): 1346–65. http://dx.doi.org/10.1108/compel-04-2013-0136.

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Purpose – As arc suppression coils (ASCs), magnetically controlled reactors (MCRs) are usually operated in the single-phase mode. Due to the lack of a third order harmonic compensation circuit, the current harmonics are high. The purpose of this paper is to propose a novel structure of MCR and a genetic algorithm (GA) to determine the parameters which will result in minimum total harmonics. Design/methodology/approach – This paper proposes the structure and the working principle of the multi-valve controlled saturable reactor (MCSR). There are several sorts of magnetic valves in the iron cores of the MCSR. The saturation degree of each magnetic valve is different when the same direct component of the magnetic flux is generated in the iron core, therefore current harmonics of different phases emerging, i.e. the total harmonics can be reduced. The magnetization characteristics and the mathematical model of the current harmonics of the MCSR are presented by introducing three parameters. The optimal values of the parameters that result in the smallest total harmonic distortion in the output current are calculated by a GA. Findings – The simulation and experimental results are coincident with the theoretical analyses, which prove the effectiveness of the proposed method on harmonic suppression. Practical implications – The method proposed in this paper can successfully reduce the current harmonics of the conventional MCR, including but not limited to the ASC. A prototype MCSR (540 kVA/10 kV) has been designed and constructed. Originality/value – In this paper, a MCSR is proposed. The mathematical model of the MCSR for harmonic analysis is developed. The optimal parameters that result in the smallest THD in the output current are calculated. The mathematical model can be also used for the harmonic analysis of conventional MCRs.

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37

Andia Vera, Gianfranco, Yvan Duroc, and Smail Tedjini. "Analysis and exploitation of harmonics in wireless power transfer (H-WPT): passive UHF RFID case." Wireless Power Transfer 1, no. 2 (2014): 65–74. http://dx.doi.org/10.1017/wpt.2014.11.

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This paper discusses novel methodologies for the characterization of harmonic signals generated by wireless powered devices, i.e. passive ultra-high frequency (UHF) radio frequency identification (RFID) tags, due to the wireless power transferred from reader to tag. Theoretical aspects, as well as measurements to characterize these non-linear phenomena are exposed. Particular care is taken to explain the analysis methodology and setup for two kinds of characterization measurements: radiated and conducted. The existence of harmonic signals carrying information is exploited in an advanced application example. A dual-band RFID tag is designed to increase the backscattered harmonic level in the tag-to-reader link. Measurement of this dual band tag demonstrates the exploitation of the hitherto neglected harmonic power; it also opens the door to more advanced applications exploiting the harmonic-link communication.

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38

Zhou, Xi Wei, Gui Ping Wang, Chen Dong Duan, and Chun Ling Wu. "Parameter Identification and Harmonic Analysis for EV Induction Motor Drive Systems." Applied Mechanics and Materials 135-136 (October 2011): 667–72. http://dx.doi.org/10.4028/www.scientific.net/amm.135-136.667.

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The asynchronous induction motor has obtained more applications in electric vehicle (EV) or hybrid EV drive systems. But, the parameter’s variations of the motor and the harmonics of the voltage source inverter are the two problems influence control performance of EV Drive Systems. Above all, this Paper discusses several main factors which influence harmonics elimination, and then, describes an effective online method for identifying both stator and rotor resistance. The novel method uses Suboptimal Multiple Fading Extended Kalman Filter (SMFEKF) which is a kind of strong tracking filters can accomplish Parameter Identification. An important advantage of this method is that it offers a parallel search way can overcome local optima so as to find the globally optimal solution. Together with harmonic elimination Algorithm which improved the power factor of the drive and weaken the injected low-order harmonics to the induction motor, robust speed control of induction motor can obtained easily. The simulative results confirm that the proposed method has efficiency to EV Drive Systems.

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39

Demirdelen, T., R. I. Kayaalp, and M. Tumay. "A Modular Cascaded Multilevel Inverter Based Shunt Hybrid Active Power Filter for Selective Harmonic and Reactive Power Compensation Under Distorted/Unbalanced Grid Voltage Conditions." Engineering, Technology & Applied Science Research 6, no. 5 (2016): 1133–38. http://dx.doi.org/10.48084/etasr.777.

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In recent years, shunt hybrid active power filters are being increasingly considered as a viable alternative to both passive filters and active power filters for compensating harmonics. In literature, their applications are restricted to balanced systems and low voltage applications and therefore not for industrial applications. This paper investigates the performance of a modular cascaded multilevel inverter based Shunt Hybrid Active Power Filter (SHAPF) for reactive power compensation and selective harmonics elimination under distorted/unbalanced grid voltage conditions in medium voltage levels. In the proposed control method, reactive power compensation is achieved successfully with a perceptible amount and the performance results of harmonic compensation are satisfactory. Theoretical analysis and simulation results are obtained from an actual industrial network model in PSCAD. The simulation results are presented for a proposed system in order to demonstrate that the harmonic compensation performance meets the IEEE-519 standard.

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40

Garrett, Paul B. "Book Review: Harmonic analysis on symmetric spaces and applications." Bulletin of the American Mathematical Society 22, no. 1 (1990): 219–31. http://dx.doi.org/10.1090/s0273-0979-1990-15884-7.

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Samea, H. "DERIVATIONS ON MATRIX ALGEBRAS WITH APPLICATIONS TO HARMONIC ANALYSIS." Taiwanese Journal of Mathematics 15, no. 6 (2011): 2667–87. http://dx.doi.org/10.11650/twjm/1500406490.

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Baklouti, Ali, and Takaaki Nomura. "Geometric and harmonic analysis on homogeneous spaces and applications." Advances in Pure and Applied Mathematics 4, no. 1 (2013): 1–2. http://dx.doi.org/10.1515/apam-2013-0207.

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Liu, B. "Adaptive harmonic wavelet transform with applications in vibration analysis." Journal of Sound and Vibration 262, no. 1 (2003): 45–64. http://dx.doi.org/10.1016/s0022-460x(02)01027-1.

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Beltran, David, and Jonathan Bennett. "Subdyadic square functions and applications to weighted harmonic analysis." Advances in Mathematics 307 (February 2017): 72–99. http://dx.doi.org/10.1016/j.aim.2016.11.018.

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Li, Shanshan, and Minggang Fei. "Deriving Harmonic Functions in Dunkl-Clifford Analysis and Applications." Advances in Applied Clifford Algebras 22, no. 2 (2011): 399–414. http://dx.doi.org/10.1007/s00006-011-0302-8.

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Blais, J. A. R., and D. A. Provins. "Spherical harmonic analysis and synthesis for global multiresolution applications." Journal of Geodesy 76, no. 1 (2002): 29–35. http://dx.doi.org/10.1007/s001900100217.

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Dil, Ayhan, and Erkan Muniroğlu. "Applications of derivative and difference operators on some sequences." Applicable Analysis and Discrete Mathematics, no. 00 (2020): 30. http://dx.doi.org/10.2298/aadm190908030d.

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In this study, depending on the upper and the lower indices of the hyperharmonic number h(r), nonlinear recurrence relations are obtained. It is shown that generalized harmonic numbers and hyperharmonic numbers can be obtained from derivatives of the binomial coefficients. Taking into account of difference and derivative operators, several identities of the harmonic and hyperharmonic numbers are given. Negative-ordered hyperharmonic numbers are defined and their alternative representations are given.

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Jin, Jie, Rong Yi Niu, Dong Liang Gong, and Yan Jin. "Electric Vehicle Charging Battery Swap Station Harmonic Generation and Hazard Control." Advanced Materials Research 608-609 (December 2012): 1022–27. http://dx.doi.org/10.4028/www.scientific.net/amr.608-609.1022.

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Analysis of harmonic generation and hazards of electric vehicle charging/ battery swap station, suitable harmonic control method was proposed. Introduced new low-harmonic charger applications, the calculation of the harmonic content, the harmonic treatment data analysis.

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Krishnan, S., N. Ravikumar, P. Thirumal, and R. Balamurali. "Harmonic Analysis of Multilevel H-Bridge Inverter with Reduced Switches for Solar Power Applications." Journal of Computational and Theoretical Nanoscience 17, no. 11 (2020): 4925–29. http://dx.doi.org/10.1166/jctn.2020.9258.

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A multilevel H-bridge dc–ac converter is an electronic device, the multilevel converter enhanced stepped output with less switches. This paper deals with H-Bridge multilevel converter it requires only few switches when compared to traditional method. So in proposed method using only few switches, and it requires less gate triggering circuit. Less switches will operates for certain period of time. The proposed circuit is simulated using MATLAB software in that fast Fourier transform test to find the total harmonic distortion. With the proposed method multilevel converter can be used in solar power applications to convert dc supply into ac supply, it produces less harmonics it will enhance life span of the motor and efficiency of the motor will raise because in proposed multilevel converter there is a less switches are used.

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Demirdelen, T., R. I. Kayaalp, and M. Tumay. "Modeling and Analysis of a Multilevel Parallel Hybrid Active Power Filter." Engineering, Technology & Applied Science Research 6, no. 3 (2016): 976–81. http://dx.doi.org/10.48084/etasr.665.

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This paper introduces a new control approach for the Multilevel Parallel Hybrid Active Power Filter (M-PHAPF) which can compensate harmonics and variable reactive power demand of loads by controlling the DC link voltage adaptively in medium voltage applications. By the means of this novel control method, M-PHAPF obtains a better and more efficient performance in the compensation of harmonics and reactive power compared to when using conventional control methods. The performance and stability of the proposed method are verified with a simulation model realized in PSCAD/EMTDC with different case studies. The simulation results demonstrate that harmonic compensation performance meets the requirements of the IEEE-519 standard.

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