Results 21 to 30 of about 2,874 (281)
Eichler integrals and generalized second order Eisenstein series
, 2022 We show that all Eichler integrals, and more generally all "generalized second order modular forms" can be expressed as linear combinations of corresponding generalized second order Eisenstein series with coefficients in classical modular forms. We determine the Fourier series expansions of generalized second order Eisenstein series in level one, and ...
Ahlbäck, Albin +2 more
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Second order perturbation theory in general relativity: Taub charges as integral constraints [PDF]
Physical Review D, 2019 In a nonlinear theory, such as General Relativity, linearized field equations around an exact solution are necessary but not sufficient conditions for linearized solutions. Therefore, the linearized field equations can have some solutions which do not come from the linearization of possible exact solutions.
Altas, Emel, Tekin, Bayram
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, 2022 The present work explores the power quality problems of a microgrid in the aviation field, such as frequency offset or waveform distortion, caused by voltage imbalance and nonlinear load, to ensure the efficient and stable flight of aircraft, unmanned ...
Xie, Shaojun, Zeng, Bo, Sun, Yuxiang
core +1 more source
A Three-Phase Synchronization Algorithm Based on a Modified DSOGI with Adjustable Re-Filtering
Energies, 2023 The precise calculation of phase angle, voltage magnitude and frequency is crucial for the effective control of power electronic inverters connected to an electrical power system.
Gilberto A. Herrejón-Pintor +2 more
doaj +1 more source
SAPF based on ANN-Second Order Generalized Integrator for Harmonic Absorption
International Journal for Research in Applied Science and Engineering Technology, 2023 Abstract: The purpose of this study is to provide a photovoltaic (PV)-based generation system that is coupled with a shunt active power filter (SAPF) in order to effectively compensate for reactive power and mitigate harmonics. The Solar Active Power Filter is made up of a DC link capacitor, a voltage source inverter (VSI), and a solar production ...
Dr. A Gowthaman, Er. K. Arulmozhi
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A novel phase estimation method for renewable energy grid-connected equipments
Energy Reports, 2022 When renewable energy is applied to the power grid, it will cause problems such as harmonic interference and changes in grid frequency, resulting in harmonic distortion of the inverter and other renewable energy grid-connected equipments output current ...
Nanmu Hui, Xiaowei Han, Baoju Wu
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Exponential Time Integration and Second‐Order Difference Scheme for a Generalized Black‐Scholes Equation [PDF]
Journal of Applied Mathematics, 2012 We apply an exponential time integration scheme combined with a central difference scheme on a piecewise uniform mesh with respect to the spatial variable to evaluate a generalized Black‐Scholes equation. We show that the scheme is second‐order convergent for both time and spatial variables.
Cen, Zhongdi, Le, Anbo, Xu, Aimin
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Generalization of Reset Controllers to Fractional Orders
Mathematics, 2022 Reset control is a simple non-linear control technique that can help overcome the structural limitations of linear control. Fractional control uses the concept of fractional derivatives to expand the range of possibilities when modeling a controller ...
Henrique Paz, Duarte Valério
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Generalized Weierstrass Integrability of a Class of Second-order Nonlinear Differential Equations
Asian Research Journal of Mathematics, 2021 The generalized Weierstrass integrability of a class of second-order nonlinear differential equations is considered. The conditions of existence and the corresponding expressions of generalized Weierstrass inverse integrating factors of the second-order nonlinear differential equation are presented.
Yanxia Hu, Xin Zhao
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Comparison of SOGI-FLL with SOGI-PLL for Single-Phase Grid-Connected Inverters [PDF]
E3S Web of Conferences, 2019 Phase locked loop (PLL) is a feedback system that has a vital role in the grid-connected inverter systems. The primary function of PLL is to obtain various grid information, such as magnitude, frequency, and phase.
Royan +4 more
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