Time-Window-Based Discrete-Time Fourier Series for Electromagnetic Transients in Power Systems

Tavighi, Arash; Martí, José; Galvan, Veronica A.; Gutierrez-Robles, José Alberto

doi:10.1109/tpwrd.2018.2794887

Cited by 10 publications

(6 citation statements)

References 34 publications

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“…Classically, this has included the use of numerical inverse Laplace transforms; however, there are well-known numerical issues with the inverse Laplace transform. For example, they have recently been addressed in (Tavighi et al 2018).…”

Section: Distribution Line Modelingmentioning

confidence: 99%

“…In frequency-domain models, solutions are first explicitly obtained in the frequency domain, and then voltages and currents are transformed back to the time domain. Numerical transforms are not straightforward and introduce a variety of issues (see, e.g., (Nagaoka and Ametani 1988;Gustavsen 2005;Tavighi et al 2018)). Alternatively, relevant matrix functions can be approximated via rational functions (with a common set of poles), leading to explicit exponential representations (with a common set of exponents) in the time domain.…”

Section: A General Approach To Frequency-domain Rational Approximationsmentioning

confidence: 99%

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Use of Traveling Wave Signatures in Medium-Voltage Distribution Systems for Fault Detection and Location

Prabakar¹,

Singh²,

Reynolds³

et al. 2021

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Section: Distribution Line Modelingmentioning

confidence: 99%

Section: A General Approach To Frequency-domain Rational Approximationsmentioning

confidence: 99%

Use of Traveling Wave Signatures in Medium-Voltage Distribution Systems for Fault Detection and Location

Prabakar¹,

Singh²,

Reynolds³

et al. 2021

View full text Add to dashboard Cite

show abstract

“…Alternative approaches [100] and sampling schemes [101] for frequency-time transformation have been proposed in recent years and can be explored for transient stability applications.…”

Section: Numerical Laplace Transform (Nlt)mentioning

confidence: 99%

Frequency Domain Methods for Accuracy Assessment of Wideband Models in Electromagnetic Transient Stability Studies

Segundo

Bayo-Salas

Esparza³

et al. 2020

IEEE Trans. Power Delivery

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Modern power systems face several problems at frequencies above the range of traditional stability studies due to the increasing penetration of power electronic devices. This phenomenon has been recently referred to as electromagnetic transient stability and is a growing issue in systems with power electronic converters at any power and voltage level, such as FACTS, HVDC, interfaces for grid connection of renewable energies, custom power devices for power quality enhancement, among others. The study of power systems stability is usually carried out by simulation tools that represent the power system through phasor models. However, due to the faster dynamics of modern systems, the harmonic interaction among the controllers, the converters, and the electric power components, recent research results suggest that some stability analysis should be conducted with models suitable for wider frequency ranges, e.g., electromagnetic transient models. This paper reviews the use of frequency domain methods to analyze the influence of the modeling approach of passive power components on the results of electromagnetic transient stability studies.

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“…The FS is a branch of Fourier analysis nowadays. The FS has been applied to almost all disciplines, including physics [4] [5], architectonics [6] [7], electronics [8] [9], electrical engineering [10] [11] [12], and signal processing [13] [14] [15].…”

Section: Introductionmentioning

confidence: 99%

A Biproportional Construction Algorithm for Correctly Calculating Fourier Series of Aperiodic Non-Sinusoidal Signal

Li¹,

Ren²,

Chen³

2021

ENG

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The Fourier series (FS) applies to a periodic non-sinusoidal function satisfying the Dirichlet conditions, whereas the being-processed function ( ) f t in practical applications is usually an aperiodic non-sinusoidal signal. When ( ) f t is aperiodic, its calculated FS is not correct, which is still a challenging problem. To overcome the problem, we derive a direct calculation algorithm, a constant iteration algorithm, and an optimal iteration algorithm. The direct calculation algorithm correctly calculates its Fourier coefficients (FCs) when ( ) f t is periodic and satisfies the Dirichlet conditions. Both the constant iteration algorithm and the optimal iteration algorithm provide an idea of determining the states of ( ) f t . From the idea, we obtain an algorithm for determining the states of ( ) f t based on the optimal iteration algorithm. In the algorithm, the variable iteration step is introduced; thus, we present an algorithm for determining the states of ( ) f t based on the variable iteration step. The presented algorithm accurately determines the states of ( ) f t . On the basis of these algorithms, we build a biproportional construction theory. The theory consists of a first and a second proportional construction theory. The former correctly calculates the FCs of ( ) f t at the present sampling time, and the latter creates a precondition for correctly calculating the FCs of ( ) f t at the next sampling time. From the biproportional construction theory, we propose a biproportional construction algorithm. The proposed biproportional construction algorithm correctly calculates its FCs whether ( ) f t is periodic or aperiodic, and thus its FS.

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Time-Window-Based Discrete-Time Fourier Series for Electromagnetic Transients in Power Systems

Cited by 10 publications

References 34 publications

Use of Traveling Wave Signatures in Medium-Voltage Distribution Systems for Fault Detection and Location

Use of Traveling Wave Signatures in Medium-Voltage Distribution Systems for Fault Detection and Location

Frequency Domain Methods for Accuracy Assessment of Wideband Models in Electromagnetic Transient Stability Studies

A Biproportional Construction Algorithm for Correctly Calculating Fourier Series of Aperiodic Non-Sinusoidal Signal

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