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This paper proposes a numerical method for solving time-dependent Schrodinger equations with finite spectral bandwidth, which applies to both periodic and non-periodic cases. We introduce the concept of Pulse Width Modulation (PWM), which…

Quantum Physics · Physics 2022-09-23 Qi-Ming Chen , Re-Bing Wu

In recent years, the use of multilevel inverter has become popular due to its many advantages. Due to the popularity of multilevel inverters in industries and in applications that require a wide range of voltages, there have been many…

Systems and Control · Electrical Eng. & Systems 2021-04-27 Amirhossein Pourdadashnia , Milad Sadoughi , Mohammad Farhadi-Kangarlu , Behrouz Tousi

Multilevel inverters (MLIs) are popular because of their advantages such as improved output voltage quality, lower switching losses, low EMI, and ability to handle higher voltage and power levels. To generate the desired output voltage in…

Systems and Control · Electrical Eng. & Systems 2021-04-14 Amirhossein Pourdadashnia , Mohammad Farhadi-Kangarlu , Milad Sadoughi

This paper presents a simulation and experimental validation of H-bridge inverter with the implementation of a Newton-Raphson algorithm for selective harmonics elimination. Contributions are made in interfacing and programming of Arduino…

Signal Processing · Electrical Eng. & Systems 2020-02-24 A. E. Toubal Maamar , M. Helaimi , R. Taleb , H. Mouloudj , O. Elamri , A. Gadoum

Conventionally, Selective Harmonic Elimination (SHE) method in 2-level inverters, finds best switching angles to reach first voltage harmonic to reference level and eliminate other harmonics, simultaneously. Considering Induction Motor (IM)…

Systems and Control · Computer Science 2017-07-07 Hossein Valiyan Holagh , Tooraj Abbasian Najafabadi , Mohsen Mahoor

This paper considers the problem of designing a multilevel pulse width modulated waveform (PWM) with a prescribed harmonic content. Multilevel PWM design plays a major role in many diverse engineering disciplines. In power electronics,…

Systems and Control · Computer Science 2018-01-03 Shravan Mohan , Bharath Bhikkaji

Random pulse width modulation techniques are used in AC motors powered by two-level three-phase inverters, which cause a broadband spectrum of voltage, current, and electromagnetic force. The voltage distribution across a wide range of…

Systems and Control · Electrical Eng. & Systems 2024-06-07 Jian Wen , Xiaobin Cheng , Peifeng Ji , Jun Yang , Feng Zhao

A new carrier-based pulse-width modulation (PWM) technique to control power inverters is presented in this paper. To generate the output waveform, this technique compares a harmonic-injection modulating wave and a frequency-modulated…

This paper introduces a new coding algorithm for Framed Pulse Width Modulation (FPWM). The proposed algorithm requires 93% fewer look-up tables (LUTs) than the previous FPWM coding algorithm and increases a bitrate by 25%. The proposed…

Signal Processing · Electrical Eng. & Systems 2019-05-02 Soon-Won Kwon , Hyeon-Min Bae

The problem of phase synchronization is to estimate the phases (angles) of a complex unit-modulus vector $z$ from their noisy pairwise relative measurements $C = zz^* + \sigma W$, where $W$ is a complex-valued Gaussian random matrix. The…

Optimization and Control · Mathematics 2018-04-10 Yiqiao Zhong , Nicolas Boumal

Random Pulse Width Modulation (RPWM) has been successfully applied in power electronics for nearly 30 years. The effects of the various possible RPWM strategies on the Power Spectral Density have been thoroughly studied. Despite the…

Signal Processing · Electrical Eng. & Systems 2018-02-15 Jacques Naude , Ivan Hofsajer

A new, programmed pulse width modulation (PWM) technique to control power inverters, which uses a harmonic injection modulator and a frequency modulated triangular carrier, synchronized with the modulating signal is presented in this paper.…

Systems and Control · Electrical Eng. & Systems 2024-01-26 Antonio Ruiz-Gonzalez , Mario Meco-Gutierrez , Francisco Perez- Hidalgo , Francisco Vargas-Merino , JuanR Heredia-Larrubia

Phase-shifted carrier pulse-width modulation (PSC-PWM) is a widely adopted scheduling algorithm in cascaded bridge converters, modular multilevel converters, and reconfigurable batteries. However, non-uniformed pulse widths for the modules…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Amin Hashemi-Zadeh , Nima Tashakor , Sandun Hettiarachchi , Stefan Goetz

Optimal pulse patterns (OPPs) are a modulation method in which the switching angles and levels of a switching signal are computed via an offline optimization procedure to minimize a performance metric, typically the harmonic distortions of…

Systems and Control · Electrical Eng. & Systems 2025-12-09 Jared Miller , Petros Karamanakos

We consider the Selective Harmonic Modulation (SHM) problem, consisting in the design of a staircase control signal with some prescribed frequency components. In this work, we propose a novel methodology to address SHM as an optimal control…

Optimization and Control · Mathematics 2021-11-09 Umberto Biccari , Carlos Esteve-Yagüe , Deyviss Jesús Oroya-Villalta

The rectangular multiparameter eigenvalue problem (RMEP) involves rectangular coefficient matrices (usually with more rows than columns) and may potentially have no solution in its original form. A minimal perturbation framework is proposed…

Numerical Analysis · Mathematics 2025-08-11 Shanheng Han , Lei-Hong Zhang , Ren-Cang Li

The ground state energy of a many-electron system can be approximated by an variational approach in which the total energy of the system is minimized with respect to one and two-body reduced density matrices (RDM) instead of many-electron…

Optimization and Control · Mathematics 2017-09-01 Yongfeng Li , Zaiwen Wen , Chao Yang , Yaxiang Yuan

We address the Selective Harmonic Modulation (SHM) problem in power electronic engineering, consisting in designing a multilevel staircase control signal with some prescribed frequencies to improve the performances of a converter. In this…

Optimization and Control · Mathematics 2021-12-21 Umberto Biccari , Enrique Zuazua

The paper deals with quantum pulse position modulation (PPM), both in the absence (pure states) and in the presence (mixed states) of thermal noise, using the Glauber representation of coherent laser radiation. The objective is to find…

Quantum Physics · Physics 2009-11-16 G. Cariolaro , G. Pierobon

Optimal pulse patterns (OPPs) are a modulation technique in which a switching signal is computed offline through an optimization process that accounts for selected performance criteria, such as current harmonic distortion. The optimization…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Jared Miller , Petros Karamanakos , Tobias Geyer
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