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2016 IEEE Energy Conversion Congress and Exposition (ECCE), 2016 Due to the simplicity and flexibility of the structure of the Second-Order Generalized Integrator based Quadrature Signal Generator (SOGI-QSG), it has been widely used over the past decade for many applications such as frequency estimation, grid synchronization, and harmonic extraction.
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Non Adaptive Second-Order Generalized Integrator for Identification of a Biased Sinusoidal Signal
IEEE Transactions on Automatic Control, 2012This note presents a new algorithm that is designed to identify the frequency, magnitude, phase and offset of a biased sinusoidal signal. The structure of the algorithm includes an orthogonal system generator based on a second-order generalized integrator.
Giuseppe Fedele, Andrea Ferrise
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Electric Power Components and Systems, 2019 Frequency, amplitude, and phase information of the grid voltage are the main constraints for constructing a robust controller algorithm for grid connected applications under unbalanced and distorted voltage conditions.
Emre Özsoy +2 more
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An Improved Integrator Discretization Method for Multiple Second-Order Generalized Integrators
2021 IEEE 4th International Electrical and Energy Conference (CIEEC), 2021Multiple second-order generalized integrators (MSOGI) can extract fundamental waves, harmonics and their orthogonal components in real time, which plays a vital role in power quality assessment, grid synchronization, harmonic compensation and other aspects. Different discretization methods of MSOGI determine the complexity of its implementation and the
Shangqian Wu, Cun Wang, Rende Zhao
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A Grid Synchronization PLL Method Based on Mixed Second- and Third-Order Generalized Integrator for DC Offset Elimination and Frequency Adaptability [PDF]
IEEE Journal of Emerging and Selected Topics in Power Electronics, 2018 The second order generalized integrator (SOGI) has been widely used to implement grid synchronization for grid-connected inverters, and from grid voltages it is able to extract the fundamental components with an output of two orthogonal sinusoidal ...
Xiaojun Zhao +2 more
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IEEE Transactions on Circuits and Systems I: Regular Papers, 2015 [[abstract]]In this paper, the design of a generalized fractional order differentiator (FOD) whose magnitude and phase responses can be controlled independently is investigated.
Chien-Cheng Tseng
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A Novel Discretization Method for Multiple Second-Order Generalized Integrators
IEEE Transactions on Power Electronics, 2021Multiple second-order generalized integrators (MSOGI) has been widely used to extract the signal that contains multiple harmonics. The MSOGI needs to be implemented in the discrete-time domain for its practical applications. More critically, the discretization method can greatly affect its performance.
Rende Zhao +5 more
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IEEE Transactions on Power Electronics, 2020 The frequency-fixed second-order generalized integrator-based quadrature signal generator (FFSOGI-QSG) has been widely used in grid synchronization applications.
Mohd Afroz Akhtar, Suman Saha
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Some second-order integral inequalities of generalized Hardy type
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1999A uniform method of obtaining various types of integral inequalities involving a function and its first derivative is extended to integral inequalities involving a function and its second derivative. Specifically, some quadratic integral inequalities of generalized Hardy type involving a function and its second derivative are derived and examined.
Florkiewicz, B., Wojteczek, K.
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A modified numerov integration method for general second order initial value Problems
International Journal of Computer Mathematics, 1991We present an implicit eighth-order finite difference method for the general second order non-linear differential equation Yn=f(t,y,y) subject to the initial conditions y(to) =yo, y(to)=yO. The method is based on mixed interpolation containing a parameter which can be used to improve the accuracy.
Marnix Van Daele +2 more
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