A Family of Gradient Descent Grid Frequency Estimators for the SOGI Filter

Matas, J.; Martín, Helena; Hoz, Jordi de la; Abusorrah, Abdullah; Al‐Turki, Yusuf; Al-Hindawi, Mohammed M.

doi:10.1109/tpel.2017.2748920

Cited by 86 publications

(50 citation statements)

References 38 publications

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“…For the step-up Mp=2.5% and peak time tp=0.06s and for the step-down Mp=3.1% and tp=0.059s. This phenomenon was already reported in [21] for the normalized SOGI-GE1. This phenomenon is due to the different gains that the SOGI outputs and sensed inner signals present when ω temporarily does not match ωo.…”

Section: Simulation Resultssupporting

confidence: 79%

“…1, is a band-pass filter used in grid monitoring applications for estimating the frequency, phase and voltage amplitude of the grid. The SOGI is formed by a generalized integrator (GI) synchronized with the input voltage vin by means of an outer loop between the output and , with a gain that regulates the transient response and the bandwidth of the system [12]- [21]. The SOGI provides an orthogonal output , that is used with for the estimation of the grid parameters.…”

Section: Lpf Based Frequency Estimation Methodsmentioning

confidence: 99%

“…The SOGI filter center frequency ω needs to be tuned with the grid frequency in order to operate well, which had been usually performed by the FLL algorithm reported in [13] and which can also be with any of the three gradient descent estimators proposed in [21]. In this paper, the frequency is obtained from direct calculations using the SOGI orthogonal outputs and some inner SOGI state variables.…”

Section: A) First-order Lpf Frequency Estimationmentioning

confidence: 99%

“…This tuning had been usually performed till now using the frequency locked loop technique (FLL) proposed in [13] due to its simple structure and easy implementation. However, this tuning can be also performed now by a recent approach in [21] that uses the gradient descent method applied to the SOGI and results in three different simple gradient estimators (GE). These approaches, FLL and GE, are very simple to implement since in fact require of a single integrator and few math operations.…”

Section: Introductionmentioning

confidence: 99%

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A New LPF-Based Grid Frequency Estimation for the SOGI Filter with Improved Harmonic Rejection

Matas¹,

Martín²,

Elmariachet³

et al. 2024

RE&PQJ

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This paper proposes a new method for the estimation of the grid voltage frequency using a low-pass filter (LPF) approach. The estimated frequency is used to tune a second order generalized integrator (SOGI) filter commonly used for grid monitoring purposes and applications requiring parameter estimation from the grid. A first-order LPF is used first for the estimation that behaves identically to the reported normalized SOGI-FLL. A second-order LPF is proposed instead to overcome this circumstance. The behavior of this approach is dynamically analyzed and a linearized model useful for design purposes is derived. The behavior of the proposed system is checked with simulations, showing that the model matches well with the real system and has a smoother transient response to step frequency perturbations and also a better rejection to harmonic distortion than previous approaches.

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Section: Simulation Resultssupporting

confidence: 79%

Section: Lpf Based Frequency Estimation Methodsmentioning

confidence: 99%

Section: A) First-order Lpf Frequency Estimationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A New LPF-Based Grid Frequency Estimation for the SOGI Filter with Improved Harmonic Rejection

Matas¹,

Martín²,

Elmariachet³

et al. 2024

RE&PQJ

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“…Moreover, place cannot place poles with multiplicity greater than rank (c) = 1. That is why, the analytical expression in (17) has been derived. It can be used to achieve pole placement for arbitrarily large n.…”

Section: Parallelization Of the Msogismentioning

confidence: 99%

Modified Second-Order Generalized Integrators With Modified Frequency Locked Loop for Fast Harmonics Estimation of Distorted Single-Phase Signals

Hackl

Landerer

2020

IEEE Trans. Power Electron.

113

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This paper proposes modified Second-Order Generalized Integrators (mSOGIs) for a fast estimation of all harmonic components of arbitrarily distorted single-phase signals such as voltages or currents in power systems. The estimation is based on the internal model principle leading to an overall observer system consisting of parallelized mSOGIs. The observer is tuned by pole placement. For a constant fundamental frequency, the observer is capable of estimating all harmonic components with prescribed settling time by choosing the observer poles appropriately. For time-varying fundamental frequencies, the harmonic estimation is combined with a modified Frequency Locked Loop (mFLL) with gain normalization, sign-correct anti-windup and rate limitation. The estimation performances of the proposed parallelized mSOGIs with and without mFLL are illustrated and validated by measurement results. The results are compared to standard approaches such as parallelized standard SOGIs (sSOGIs) and adaptive notch filters (ANFs). ; for more details see [1]) *** This long version includes (i) more detailed explanations, (ii) more simulation and measurement results and (iii) a thorough theoretical analysis in its Appendix.CONTENTS ‡ C.M. Hackl is with the Munich University of Applied Sciences (MUAS) and head of the "Control

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An improved derivative‐based phase‐locked loop for single‐phase grid synchronization under abnormal grid conditions

Hassan,

Kumar Dubey,

Kumar

et al. 2024

Circuit Theory & Apps

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SummaryGenerating a quadrature signal in a single‐phase system using a second‐order generalized integrator (SOGI) requires accurate frequency information. The standard SOGI phase‐locked loop (PLL) includes frequency feedback to the SOGI. However, during grid abnormalities such as voltage sag/swell and phase angle jumps, the SOGI‐PLL faces frequency disturbances that propagate to the phase detector (PD) and affects the quadrature signal generator (QSG). Furthermore, the SOGI‐PLL having two loops dependent on each other creates loop coupling phenomena; either a change in phase or frequency affects each other. SOGI‐PLL is tuning sensitive, as the SOGI block has a gain that needs to be adjusted, increases the complexity, and affects the performance of the system. There is a trade‐off between SOGI gain and PLL parameters that needs to be considered for adequate parameter design to provide accurate grid synchronization while maintaining the stability of the system. To attain better performance, researchers have proposed derivative‐based PLL (DPLL). The conventional DPLL faces challenges to noise and harmonics amplification. This paper presents an improved DPLL for single‐phase grid synchronization under adverse grid conditions. The improved derivative‐based PLL (IDPLL) comprises two improved derivative‐based quadrature signal generator (IDQSG) blocks to extract the phase‐error information for accurately estimating phase and frequency. The detailed mathematical modeling and bode plot for the IDQSG and IDPLL are presented. The proposed IDQSG eliminates the requirement of gain tuning, hence reducing complexity. Moreover, there is no interdependent loop in the IDPLL, which significantly improves the dynamic performance. A hardware setup is developed to evaluate the performance of the system in real‐time. The experimental results are obtained using an field programmable gate array (FPGA)‐based controller.

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A Family of Gradient Descent Grid Frequency Estimators for the SOGI Filter

Cited by 86 publications

References 38 publications

A New LPF-Based Grid Frequency Estimation for the SOGI Filter with Improved Harmonic Rejection

A New LPF-Based Grid Frequency Estimation for the SOGI Filter with Improved Harmonic Rejection

Modified Second-Order Generalized Integrators With Modified Frequency Locked Loop for Fast Harmonics Estimation of Distorted Single-Phase Signals

An improved derivative‐based phase‐locked loop for single‐phase grid synchronization under abnormal grid conditions

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