A control strategy of single-phase active filter using a novel d-q transformation
21 Nov 2003-Vol. 2, pp 1222-1227
TL;DR: In this article, a control strategy of the single-phase active filter using a novel d-q transformation is proposed, which is implemented by using Hilbert transform, by which the instantaneous single phase voltage and current are converted into complex vectors (analytic signals) on the instantaneous basis.
Abstract: In this paper, a control strategy of the single-phase active filter using a novel d-q transformation is proposed This d-q transformation is implemented by using Hilbert transform, by which the instantaneous single-phase voltage and current are converted into complex vectors (analytic signals) on the instantaneous basis Since the fundamental components of voltages and currents are converted into DC components on the d-q coordinate both in the steady and transient states, the harmonics of voltages and currents can be obtained precisely through the low-pass filer installed on the d-q coordinate This results in the economical active filter with a small capacitor suppressing the DC bus voltage fluctuation because the fundamental power can be fully removed from the active filter input
Citations
More filters
18 Jun 2006
TL;DR: In this article, a phase-locked-loop (PLL) method for single-phase systems was proposed to detect the phase angle, amplitude and frequency of the utility voltage.
Abstract: Phase, amplitude and frequency of the utility voltage are critical information for the operation of the grid-connected inverter systems. In such applications, an accurate and fast detection of the phase angle, amplotude and frequency of the utility voltage is essential to assure the correct generation of the reference signals and to cope with the new upcoming standards. This paper presents a new phase-locked-loop (PLL) method for single-phase systems. The novelty consists in generating the orthogonal voltage system using a structure based on second order generalized integrator (SOGI). The proposed structure has the following advantages: — it has a simple implementation; — the generated orthogonal system is filtered without delay by the same structure due to its resonance at the fundamental frequency, — the proposed structure is not affected by the frequency changes. The solutions for the discrete implementation of the new proposed structure are also presented. Experimental results validate the effectiveness of the proposed method.
1,023 citations
18 Jun 2006
TL;DR: In this article, the authors proposed a new positive-sequence voltage detection system which exhibits a fast, precise, and frequency-adaptive response under faulty grid conditions, which is called DSOGI-PLL.
Abstract: This paper deals with a fundamental aspect in the control of grid-connected power converters, i.e., the detection of the positive-sequence component at fundamental frequency of the utility voltage under unbalanced and distorted conditions. Accurate and fast detection of this voltage component under grid faults is essential to keep the control over the power exchange with the grid avoiding to trip the converter protections and allowing the ride-through of the transient fault. In this paper, the systematic use of well known techniques conducts to a new positive-sequence voltage detection system which exhibits a fast, precise, and frequency-adaptive response under faulty grid conditions. Three fundamental functional blocks make up the proposed detector, these are: i) the quadrature-signals generator (QSG), ii) the positive-sequence calculator (PSC), and iii) the phase-locked loop (PLL). A key innovation of the proposed system is the use of a dual second order generalized integrator (DSOGI) to implement the QSG. For this reason, the proposed positive-sequence detector is called DSOGI-PLL. A detailed study of the DSOGI-PLL and verification by simulation are performed in this paper. From the obtained results, it can be concluded that the DSOGI-PLL is a very suitable technique for characterizing the positive-sequence voltage under grid faults.
716 citations
Cites methods from "A control strategy of single-phase ..."
...Other advanced methods for frequency adaptive quadrature-signals generation have been reported in the literature, e.g., the Hilbert transformation-based PLL (HT-PLL) [ 10 ] or the inverse Park transformation-based PLL (IPT-PLL) [11], however they become also complex....
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01 Jan 2004
TL;DR: A comparative study of synchronous reference frame PLL algorithms for single-phase systems and results, including operation of the PLL structures under distorted utility conditions are presented, to allow a performance evaluation of thePLL algorithms.
Abstract: Phase angle, frequency and amplitude of the utility voltage vector are basic information for an increasing number of grid-connected power conditioning equipments, such as PWM rectifiers, uninterruptible power systems (UPS), voltage sag compensators and the emerging distributed generation systems. For these applications, accurate tracking of the utility voltage vector is essential to ensure correct operation of the control system. This paper presents a comparative study of synchronous reference frame PLL algorithms for single-phase systems. Simulation and experimental results, including operation of the PLL structures under distorted utility conditions are presented, to allow a performance evaluation of the PLL algorithms.
316 citations
Cites background from "A control strategy of single-phase ..."
...Recently, there has been an increasing interest in PLL topologies for grid-connected systems [1-5]....
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...Figure 1 shows a schematic diagram of the single-phase PLL structure, introduced in [1-2]....
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01 Nov 2004
TL;DR: In this paper, a comparative study of synchronous reference frame PLL algorithms for single-phase systems is presented, including operation of the PLL structures under distorted utility conditions, to allow a performance evaluation of the algorithms.
Abstract: Phase angle, frequency and amplitude of the utility voltage vector are basic information for an increasing number of grid-connected power conditioning equipments, such as PWM rectifiers, uninterruptible power systems (UPS), voltage sag compensators and the emerging distributed generation systems. For these applications, accurate tracking of the utility voltage vector is essential to ensure correct operation of the control system. This paper presents a comparative study of synchronous reference frame PLL algorithms for single-phase systems. Simulation and experimental results, including operation of the PLL structures under distorted utility conditions are presented, to allow a performance evaluation of the PLL algorithms.
307 citations
04 Jul 2010
TL;DR: In this article, a single-phase inverter for distributed generation systems requiring power quality features, such as harmonic and reactive power compensation for grid-connected operation, is proposed, where the inverter controls the active power flow from the renewable energy source to the grid and also performs the nonlinear load current harmonic compensation keeping the grid current almost sinusoidal.
Abstract: Power electronic converters are commonly used for interfacing distributed generation systems to the electrical power network. This paper deals with a single-phase inverter for distributed generation systems requiring power quality features, such as harmonic and reactive power compensation for grid-connected operation. The idea is to integrate the DG unit functions with shunt active power filter capabilities. With the proposed approach, the inverter controls the active power flow from the renewable energy source to the grid and also performs the non-linear load current harmonic compensation keeping the grid current almost sinusoidal. The control scheme employs a current reference generator based on Sinusoidal Signal Integrator (SSI) and Instantaneous Reactive Power (IRP) theory together with a repetitive current controller. Experimental results obtained on a 4 kVA inverter prototype demonstrate the feasibility of the proposed solution.
301 citations
Cites background or methods from "A control strategy of single-phase ..."
...The direct methods include the Fourier transform method [7], the Instantaneous Reactive Power (IRP) theory [8-11] and the Synchronous Reference Frame (SRF) theory [12-15]....
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...The integration of APF capability in single-phase inverters needs a particular attention since the control techniques (for example, to find the reference current) were developed for three-phase APFs....
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...Among these solutions, the Instantaneous Reactive Power (IRP) and the Synchronous Reference Frame (SRF) theories the most addressed ones in the literature [8-15]....
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...The literature presents different solutions to compute the harmonic extraction task for single-phase APFs [5-16]....
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References
More filters
Book•
01 Jan 1989
TL;DR: In this paper, the authors provide a thorough treatment of the fundamental theorems and properties of discrete-time linear systems, filtering, sampling, and discrete time Fourier analysis.
Abstract: For senior/graduate-level courses in Discrete-Time Signal Processing. THE definitive, authoritative text on DSP -- ideal for those with an introductory-level knowledge of signals and systems. Written by prominent, DSP pioneers, it provides thorough treatment of the fundamental theorems and properties of discrete-time linear systems, filtering, sampling, and discrete-time Fourier Analysis. By focusing on the general and universal concepts in discrete-time signal processing, it remains vital and relevant to the new challenges arising in the field --without limiting itself to specific technologies with relatively short life spans.
10,388 citations
TL;DR: In this paper, a new instantaneous reactive power compensator comprising switching devices is proposed, which requires practically no energy storage components, and is based on the instantaneous value concept for arbitrary voltage and current waveforms.
Abstract: The conventional reactive power in single-phase or three- phase circuits has been defined on the basis of the average value concept for sinusoidal voltage and current waveforms in steady states. The instantaneous reactive power in three-phase circuits is defined on the basis of the instantaneous value concept for arbitrary voltage and current waveforms, including transient states. A new instantaneous reactive power compensator comprising switching devices is proposed which requires practically no energy storage components.
3,331 citations
"A control strategy of single-phase ..." refers background in this paper
...introduced the theory of instantaneous reactive power for the threephase circuit to determine harmonics from non-sinusoidal voltages and currents[1]....
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...For suppression of harmonic voltages and currents in power distribution systems, various power active filters (AFs) have been proposed [1]-[5]....
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Book•
01 Jan 1996
TL;DR: In this paper, the authors propose a method of generating one-dimensional Hilbert transform using samples of a function. But they do not discuss the application of the Hilbert transform in signal and system theory.
Abstract: Theory of The One-Dimensional Hilbert Transformation: Concepts of Hilbert and Fourier Transformations. Analytic Functions. Cauchy Integral Representation of the Analytic Function. Examples of Derivation of Hilbert Transforms in the Time Domain. Fourier Transform of the Hilbert Transform. Derivation of Hilbert Transforms Using Fourier and Hartley Transforms. Hilbert Transforms of Periodic Signals and Bessel Functions of the First Kind. One-Sided Spectra of Analytic Signals and Analytic Spectra of Causal Signals. Definitions of Instantaneous Amplitude, Phase and Frequency of Analytic Signals. Negative Instantaneous Frequency of the Analytic Signal. Tables of Hilbert Transforms. References. Properties of The Hilbert Transformation-Derivations and Applications: Introduction. Table of Properties of the Hilbert Transformation. Linearity. Method of Generating Hilbert Transform Using Samples of a Function. Hilbert Transforms of Hyperbolic Functions. Iteration. Differentiation. Successive Iteration and Differentiation. Differentiation and Multiplication of Hermite Polynomials and Functions by Hilbert Transforms. Hilbert Transforms of Legendre Polynomials. Autoconvolution, Autocorrelation and Energy Equality. The N-Fold Autoconvolution. The Hilbert Transform of the Product of Two Signals. References. Distributions in The Theory of The Hilbert Transformation and Complex Signals: Introduction. Definition of a Distribution in Terms of Functionals. Complex Delta Distribution. Polar and Other Notations of the Complex Delta Distribution. Integral and Derivatives of The Complex Delta Distribution in Terms of the Cauchy Approximation Functions. Integral and Derivatives of the Complex Delta Distribution. Complex Sampling Sequence. 2D Complex Delta Distribution and Its Polar Representation. 2D Complex Sampling Sequence. 3D Complex Delta Distribution. Appendix. References. The Discrete Hilbert Transformation: Introduction. Discrete Fourier Transformation (DFT). Examples of Derivation of DFT for Selected Simple Signals. Z-Transformation. Elementary Properties of the DFT and Z-Transformation. Discrete Hilbert Transformation (DHT). DHT of Selected Sequences. Iteration of the DHT. System Theory of the DHT. Complex Analytic Discrete Sequence. Causal Discrete Time Sequences and Analytic Discrete Spectra. Bilinear Transformation and Cotangent Form of Hilbert Transformation. References. Appendices: Fourier Series Representation of the DFT. Calculation of DHT Using the Discrete Hartley Transformation. Computer Program Listings. Hilbert Transformers: General Features. Phase Splitter Hilbert Transformers. Simple Method of Design of Hilbert Phase Splitters. Hilbert Transformers with Tapped Delay Line. Band-Pass Hilbert Transformers. Generation of Hilbert Transforms Using SSB Filtering. Digital Hilbert Transformers. FIR Hilbert Transformers. FIR Hilbert Transformers with Half-Band Filters. Recapitulation of Design Procedure of FIR Hilbert Transformers. Digital All-Pass Hilbert Transformers. Design of Hilbert Transformers Using Bilinear Frequency Transformation. IIR Discrete-Time Hilbert Transformers. Differentiating Hilbert Transformers. References. Appendix: Design Details of IIR Hilbert Transformers. The Hilbert Transform in Modulation Theory: Introduction. Concept of The Modulation Function of a Harmonic Carrier. Classification. Test Signals in Modulation. Basic Theories of Amplitude and Angle Modulation. Single-Sideband Linear AM Modulation. General Forms of Single-Sideband Modulations. CSSB Signals for Linear Envelope and FM Modulators. CSSB Modulation for Square-Low AM Demodulator. References. Appendix: Derivation of the Spectrum of the CSSB Signal for Linear Amplitude Modulator. Modulation of The Periodic Test Signal. The Hilbert Transform in Signal and System Theory: Hilbert Transforms in the Theory of Linear Systems: Kramers-Kronig Relations. Amplitude-Phase Relations in DLTI Systems. Measurement Systems Using Amplitude Phase Relations of LTI Systems. Kramers-Kronig Relations in Linear Macroscopic Continuous Media. Concept of Signal Delay in Hilbertian Sense. Hilbert Transform in the Theory of Sampling. Sampling of Band-pass Signals. Quadrature Sampling of Band-pass Signal. Linear Transformations of Interpolatory Expansion. Generation of Random Signals Using Interpolation Expansion. Complex Analytic Random Signals. Instantaneous Spectral Moments Defined by the Wiegner-Ville Time-Frequency Distribution. Generation of 2-D Random Fields. Definition of Electrical Power in Terms of Hilbert Transforms and Analytic Signals. Generalization of Notion of Power For Signals with Finite Average Power. References. Multidimensional Complex Signals and Applications: Introduction. Definition of Two-Dimensional and Multidimensional Complex Signals. Separable and Conjugate 2-D Signals. Polar Notation of 2-D Complex Signals. Examples of Separable and Nonseparable 2-D Complex Signals. Image Decomposition and Reconstruction Using Amplitude and Phase Patterns. Three-Dimensional Complex Signals. Multidimensional Modulation Theory. References. Multidimensional Hilbert and Fourier Transformations: Introduction. Even and Odd Multidimensional Real Signals. Signal Domain Definition of the n-D and 2-D Hilbert Transformations. 2-D and Partial Hilbert Transformations. Derivation of n-D Hilbert Transforms Using n-D Fourier Transform. 2-D Discrete Hilbert Transformation. 2-D DHT. Stark's Extension of Bedrosian's Theorem. 2-D Hilbert Transforms Tables. References.
681 citations
"A control strategy of single-phase ..." refers methods in this paper
...In the practical system, the filter circuits, such as the FIR filter, are used [9],[10] as Hilbert transformer....
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TL;DR: In this article, a different interpretation of the power decomposition proposed by H. Akagi et al. for distorted three-phase situations is given, which makes it possible to generalize the technique to single-phase systems and polyphase systems, also to include rigorously zero sequence currents and voltages.
Abstract: A different interpretation of the power decomposition proposed by H. Akagi et al. (1984) for distorted three-phase situations is given. This makes it possible to generalize the technique to single-phase systems and polyphase systems and also to include rigorously zero sequence currents and voltages. >
265 citations
TL;DR: In this article, the p-q theory and the cross-vector theory were compared in three-phase four-wire systems, with the focus on similarities and differences between the two theories.
Abstract: This paper discusses “the p–q theory” and “the cross-vector theory” in three-phase four-wire systems, with the focus on similarities and differences between the two theories. They are perfectly identical if no zero-sequence voltage is included in a three-phase three-wire system. However, they are different in definition of the instantaneous active power and instantaneous reactive power in each phase if a zero-sequence voltage or current is included in a three-phase four-wire system. Based on both theory and computer simulation, this paper leads to the following conclusions: An instantaneous reactive-power compensator without energy storage components can fully compensate for the neutral current even in a three-phase four-wire system including a zero-sequence voltage or current, when a proposed control strategy based on the p–q theory is applied: However, the compensator cannot compensate for the neutral current fully, when a conventional control strategy based on the cross-vector theory is applied. © 2001 Scripta Technica, Electr Eng Jpn, 135(3): 74–86, 2001
12 citations
"A control strategy of single-phase ..." refers background in this paper
...Their theory can be reformulated for the three-phase four wires system [2] and other multi phase systems [3]....
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