Resonance damping of LCL filters via input admittance frequency shaping

Cobreces, Santiago; Pizarro, Daniel; Sanchez, Francisco Javier Rodriguez; Griñó, Robert

doi:10.1109/isie.2016.7744943

Cited by 3 publications

(5 citation statements)

References 14 publications

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“…The ratio ξ n /ξ d makes it possible to establish the peak of the maximum gain of the notch (absolute value). The pulsation w t is a pole that makes admittance control more dominant at frequencies greater than the fundamental (supersynchronous frequencies, where the admittance resonance peak is placed) and below the upper band limit of control (where W u is dominant) [10,52].…”

Section: Performance Weighting Function W Tmentioning

confidence: 99%

“…The weighting filter W u is a pair of poles/zero. With M u is the maximum gain, this value limits the maximum control force in the control band σ(KS y (jw)), lower values allow a greater control force and vice versa [52]. w u1 is the pulsation from the control force starting to be limited (i.e.…”

Section: Control Weighting Function W Umentioning

confidence: 99%

“…The ratio

ξ_{n} / ξ_{d}

makes it possible to establish the peak of the maximum gain of the notch (absolute value). The pulsation

w_{t}

is a pole that makes admittance control more dominant at frequencies greater than the fundamental (super‐synchronous frequencies, where the admittance resonance peak is placed) and below the upper band limit of control (where

W_{u}

is dominant) [10, 52]. Another type of weighting filter is used for the current loop that takes into consideration the harmonics in the controller design

W_{t} false(s false) = \frac{()(, 1 / A_{p}) s + w_{p h}}{s + w_{p l} τ_{i}} {false\sum}_{k = 1}^{n} \frac{s^{2} + 2 ξ_{n} w_{b n} k w_{1} s + k w_{1}^{2}}{s^{2} + 2 ξ_{d} w_{b n} k w_{1} s + k w_{1}^{2}} .

With k is the harmonic order,

τ_{i}

provides an approximate integral action.…”

Section: Selection Of Weighting Functionsmentioning

confidence: 99%

“…Thus, KS ensures robustness with respect to uncertainties + restrictions on the control u if the following condition is ensured

\overset{false¯}{σ} false(K S false(j w false) false) ⩽ \frac{1}{(||, W_{u} false(j w false))} \forall w \Leftrightarrow {(∥∥, W_{u} K S)}_{normal∞} ⩽ 1 .

Thus, in the case of the KS sensitivity, a high‐pass filter

W_{u}

for reducing the effect of external disturbances on the control signal and limiting the band where the control force is desired is necessary

W_{u} false(s false) = M_{u} \frac{()(, 1 / w_{u 1}) s + 1}{()(, 1 / w_{u 2}) s + 1} .

The weighting filter

W_{u}

is a pair of poles/zero. With

M_{u}

is the maximum gain, this value limits the maximum control force in the control band

\overset{false¯}{σ} false(K S_{y} false(j w false) false)

, lower values allow a greater control force and vice versa [52].

w_{u 1}

is the pulsation from the control force starting to be limited (i.e.…”

Section: Selection Of Weighting Functionsmentioning

confidence: 99%

See 3 more Smart Citations

Robust three degrees of freedom based onH∞ controller of voltage/current loops for DG unit in micro grids

Bouzid

Sicard

Chaoui

et al. 2019

IET Power Electronics

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This study proposes a cascaded voltage-current robust control strategy for a distributed generator (DG) in microgrids. The main objective of the proposed controller is to improve the performance and power quality of a DG by injecting simultaneously a good sinusoidal voltage/current to the different loads connected to the DG. The proposed cascaded voltage/ current controller consists of three degree-of-freedom controller, which is designed by using H∞ control theory based on mixed sensitivity specifications. The choices of appropriate weighting functions W t , W u , W y that satisfy the preset goals to get a robust controller and a transform to a standard H∞ control design problem based on pre-compensator, feedforward and feedback connections are presented. The 3DOF-controller is based on MATLAB R/SimPowerSystems and using RT-EVENTS-toolbox. The controller is evaluated under different scenarios: transient responses with a resistive local load, and loads disturbances in steady-state responses with resistive, resistive inductive, resistive capacitive, and non-linear loads. Simulation and experimental results of resulting waveforms from a DG unit are presented, it confirms the effectiveness of the proposed method in effectively rejecting perturbation and robustness to loads disturbances; both good reference tracking and good transient response, and finally significantly lead to a very low total harmonic distortion.

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Section: Performance Weighting Function W Tmentioning

confidence: 99%

Section: Control Weighting Function W Umentioning

confidence: 99%

“…The ratio

ξ_{n} / ξ_{d}

makes it possible to establish the peak of the maximum gain of the notch (absolute value). The pulsation

w_{t}

W_{u}

is dominant) [10, 52]. Another type of weighting filter is used for the current loop that takes into consideration the harmonics in the controller design

W_{t} false(s false) = \frac{()(, 1 / A_{p}) s + w_{p h}}{s + w_{p l} τ_{i}} {false\sum}_{k = 1}^{n} \frac{s^{2} + 2 ξ_{n} w_{b n} k w_{1} s + k w_{1}^{2}}{s^{2} + 2 ξ_{d} w_{b n} k w_{1} s + k w_{1}^{2}} .

With k is the harmonic order,

τ_{i}

provides an approximate integral action.…”

Section: Selection Of Weighting Functionsmentioning

confidence: 99%

“…Thus, KS ensures robustness with respect to uncertainties + restrictions on the control u if the following condition is ensured

\overset{false¯}{σ} false(K S false(j w false) false) ⩽ \frac{1}{(||, W_{u} false(j w false))} \forall w \Leftrightarrow {(∥∥, W_{u} K S)}_{normal∞} ⩽ 1 .

Thus, in the case of the KS sensitivity, a high‐pass filter

W_{u}

for reducing the effect of external disturbances on the control signal and limiting the band where the control force is desired is necessary

W_{u} false(s false) = M_{u} \frac{()(, 1 / w_{u 1}) s + 1}{()(, 1 / w_{u 2}) s + 1} .

The weighting filter

W_{u}

is a pair of poles/zero. With

M_{u}

is the maximum gain, this value limits the maximum control force in the control band

\overset{false¯}{σ} false(K S_{y} false(j w false) false)

, lower values allow a greater control force and vice versa [52].

w_{u 1}

is the pulsation from the control force starting to be limited (i.e.…”

Section: Selection Of Weighting Functionsmentioning

confidence: 99%

See 2 more Smart Citations

Robust three degrees of freedom based onH∞ controller of voltage/current loops for DG unit in micro grids

Bouzid

Sicard

Chaoui

et al. 2019

IET Power Electronics

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show abstract

“…If that admittance, additionally, is low out of the fundamental frequency, the converter will present good inter-harmonic behaviour. That condition also implies a good damping of the LCL-filter resonance [26]. The proposed controller will, in addition, track a given current reference in a band around the fundamental frequency.…”

Section: Introductionmentioning

confidence: 96%

A robust grid current controller with grid harmonic and filter resonance damping capabilities using a closed-loop admittance shaping

Cobreces

Wang

Blaabjerg

et al. 2017

2017 IEEE Applied Power Electronics Conference and Exposition (APEC)

Self Cite

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This paper presents a grid current control of a grid connected Voltage Source Converter (VSC) with an LCL filter. The control method enables to shape the input admittance of the converter in addition to track a given current reference. By specifying a low resistive admittance profile, a suitable controller is obtained by using an H∞ synthesis, which will actively damp the filter resonance and the harmonics/inter-harmonics from the grid in a wide frequency range. Additionally, the proposed system presents good robustness with respect to grid uncertainty.

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A Generalized Formulation of Active Power Synchronization Based Control Algorithms for Grid Connected Converters

Rosso¹,

Engelken²,

Liserre³

2018

IECON 2018 - 44th Annual Conference of the IEEE Industrial Electronics Society

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Resonance damping of LCL filters via input admittance frequency shaping

Cited by 3 publications

References 14 publications

Robust three degrees of freedom based onH∞ controller of voltage/current loops for DG unit in micro grids

Robust three degrees of freedom based onH∞ controller of voltage/current loops for DG unit in micro grids

A robust grid current controller with grid harmonic and filter resonance damping capabilities using a closed-loop admittance shaping

A Generalized Formulation of Active Power Synchronization Based Control Algorithms for Grid Connected Converters

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