Nonlinear Control of Single-Phase Shunt Active Power filter Theoretical analysis of closed-loop performances

Lachkar, I.; Giri, F.; Abouloifa, A.; Guerrero, Josep M.; Griñó, Robert; Chaoui, F.Z.; Elfadil, Hakim

doi:10.3182/20110828-6-it-1002.03186

Cited by 6 publications

(9 citation statements)

References 9 publications

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“…It is also seem that the ripple voltage grow up after each transient periods following decrease capacitance or in ductance (uncertain value) and vice-versa. In comparison with reference [8] where the authors use a cascade control structure with two overlapping loops using backstepping technique in the inner loop and a PI regulator in the outer loop, we have almost the same results (Figures 2,3,5-7,9,10) with the exception of two things: i.…”

Section: Control Performance Robustness To System Parameter Uncertaintysupporting

confidence: 73%

“…Proposition 3. Consider the result equation described by (29) with the PFC requirement defined by (14) and the observer (8). Then, the voltage varies, in response to the tuning ratio , according to the following first-order time-varying nonlinear equation: Similarly to the discussed inner-loop design and bearing in mind the fact that and their first and second derivative must be available, it follows that in o rder to meet the requirement , the control law for the ratio must take the following structure (see [12], [13]) In order to enable us to use the standard technique of two time-scale motion analysis for (33a,b), we must normalize the to .…”

Section: Control Law Designmentioning

confidence: 99%

“…Indeed, the grid voltage is actually inaccessible to measurement becaus e of the presence of grid impedance. This is co mpletely ignored in the reference [8] where the grid is simply represented by a perfect voltage source; ii. A robustness test has been added (figures 11 and 12).…”

Section: Control Performance Robustness To System Parameter Uncertaintymentioning

confidence: 99%

“…These both solutions are limited and not guaranteed to the case of a wide range variation of the operation point. In contrast to linear control, there are some nonlinear control techniques can optimize the dynamic performance of the shunt APF, and they include sliding mode [5], Lyapunov design [6], feedback linearization [7], and backstepping technique [8]. However, in most of the proposed works, the obtained controllers are generally not backed by a formal stability analysis.…”

Section: Introductionmentioning

confidence: 99%

“…The proposed control strategy consists of estimating the grid voltage unlike p revious works [4]- [8], [19].…”

Section: Introductionmentioning

confidence: 99%

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Sensorless Nonlinear Control Strategy of the Single Phase Active Power Filters via Two-time Scale Singular Perturbation Technique

Mchaouar¹,

Taghzaoui²,

Abouloifa³

et al. 2019

ujeee

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This paper focuses on the problem of controlling single-phase shunt active power filters (APFs) operating in the presence of nonlinear and uncertain loads. The main difficult ies when controlling this kind of filter are the existence of a strong non-linearity of the system and state variables inaccessible to measurements. This paper proposes a double-loop cascade controller developed on the basis of the singular perturbation technique in order to meet t wo main control object ives: (i) the inner-loop is designed to compensate the harmonic and reactive currents absorbed by the nonlinear load enforcing power factor correction; (ii) the outer-loop is synthesized to regulate the inverter output capacitor voltage. The controller also includes two-time scale sliding mode observer to estimate the network voltage that is not accessible to measurement. In this work, the singular perturbation technique and averaging theory are used for a co mplete and rigorous formal analysis to describe the control system performances. The effectiveness of this approach has been successfully verified through computer simu lations using the Matlab/Simulink environment.

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Section: Control Performance Robustness To System Parameter Uncertaintysupporting

confidence: 73%

Section: Control Law Designmentioning

confidence: 99%

Section: Control Performance Robustness To System Parameter Uncertaintymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The proposed control strategy consists of estimating the grid voltage unlike p revious works [4]- [8], [19].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Sensorless Nonlinear Control Strategy of the Single Phase Active Power Filters via Two-time Scale Singular Perturbation Technique

Mchaouar¹,

Taghzaoui²,

Abouloifa³

et al. 2019

ujeee

Self Cite

View full text Add to dashboard Cite

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Sampled‐data adaptive nonlinear control of shunt power filters

et al. 2021

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This study is on the control of shunt power filters associated with nonlinear loads. Specifically, The focus is made on single‐phase half‐bridge filters and the aim is to design a controller meeting two requirements: (1) the effect of current harmonics and reactive power is compensated for so that a power factor close to unity is achieved at the point of common coupling (PCC); (2) the inverter DC bus voltage is satisfactorily regulated. To meet these requirements, we propose a (two‐loop) cascade adaptive controller that is designed on the basis of the system nonlinear model, using Lyapunov stability tools. Compared to existing controllers, the present controller has three major features. It is adaptive compensating for parameter uncertainty. It is output feedback in the sense that it involves an observer estimating online the inaccessible signals. It is sampled‐data and so is immediately implementable using digital means. In addition to theoretical analysis, the performances of the proposed controller are evaluated by simulation using MATLAB/Simulink.

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