Harmonic state space feedback control for AC/DC power converters

Ghita, Ion; Kvieska, Pedro; Beauvois, Dominique; Godoy, Emmanuel

doi:10.23919/acc.2017.7963582

Cited by 4 publications

(6 citation statements)

References 10 publications

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“…In the literature, these approaches have only been developed for few harmonics. Mostly, only the first harmonic at fundamental frequency is incorporated [19], [20], or some known harmonics of the system are selected to design a controller [7]. What is not clearly stated in the literature is that EHD and DHD approaches are a systematical writing of the LTI state space model that one can get by applying GSSA equations to a LTP system with an arbitrary number of harmonics.…”

Section: Discussionmentioning

confidence: 99%

A comparison of harmonic modeling methods with application to the interconnection and the control of switched systems

Blin

Riedinger

Daafouz

et al. 2021

European Journal of Control

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Section: Discussionmentioning

confidence: 99%

A comparison of harmonic modeling methods with application to the interconnection and the control of switched systems

Blin

Riedinger

Daafouz

et al. 2021

European Journal of Control

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“…In the literature, these approaches have only been developed for few harmonics. Mostly, only the first harmonic at fundamental frequency is incorporated [18], [19], or some known harmonics of the system are selected to write the state-space and design a controller [6]. However, it could have been developed for an arbitrary large number of harmonics [9].…”

Section: Discussionmentioning

confidence: 99%

“…It also enables to act separately on these harmonics, to analyse their interactions and to control them. These advantages have been used to design a LQ controller for a full-bridge type rectifier in [6]. The harmonic state-space model has been linearized and a LQR feedback control synthesis in the harmonic domain has given harmonic rejection criteria.…”

Section: Systemsmentioning

confidence: 99%

A comparison of harmonic modeling methods with application to control of switched systems with active filtering

Blin

Riedinger

Daafouz

et al. 2019

2019 18th European Control Conference (ECC)

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Many harmonic modeling approaches have been introduced in the literature, such as generalized state-space averaging, dynamic phasors, extended harmonic domain, and harmonic state-space. They are capable of capturing both the transient evolution and the steady-state of harmonics. They model the frequency coupling nature of a system and can expose the frequency couplings within interconnected components. By these modeling techniques, a linear time-periodic system can be converted into a linear time-invariant system, which allows the use of traditional analysis and control methods. This paper presents a state of the art of harmonic modeling approaches. Its contribution is to clearly establish the links between the different approaches, in particular through the specification of the decomposition of non-periodic signals in generalized Fourier series with time-varying coefficients. This paper also shows the advantages of harmonic modeling to analyse the frequency couplings within associated systems and to the control with active filtering.

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“…Equations ( 7) and ( 8) are then deduced from (11) and (12) at points of continuity of x. Equation ( 11) is illustrated in Figure 5 for a continuous x.…”

Section: Coincidence Condition and Inverse Sliding Fourier Decompositionmentioning

confidence: 99%

“…The models introduced in these papers capture both the transient evolution and the steady-state of harmonics and are widely used for power systems analysis and control, e.g. [23], [17], [21], [29], [31], [2], [8], [18], [26], [11]. We also mention [34], [35], [6] where control design methods based on harmonic Lyapunov or Riccati equations are proposed.…”

Section: Introductionmentioning

confidence: 99%

Necessary and Sufficient Conditions for Harmonic Control in Continuous Time

Blin¹,

Riedinger²,

Daafouzi³

et al. 2021

Preprint

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In this paper, we revisit the concepts and tools of harmonic analysis and control and provide a rigorous mathematical answer to the following question: when does an harmonic control has a representative in the time domain ? By representative we mean a control in the time domain that leads by sliding Fourier decomposition to exactly the same harmonic control. Harmonic controls that do not have such representatives lead to erroneous results in practice. The main results of this paper are: a one-to-one correspondence between ad hoc functional spaces guaranteeing the existence of a representative, a strict equivalence between the Carathéorody solutions of a differential system and the solutions of the associated harmonic differential model, and as a consequence, a general harmonic framework for Linear Time Periodic (LTP) systems and bilinear affine systems. The proposed framework allows to design globally stabilizing harmonic control laws. We illustrate the proposed approach on a single-phase rectifier bridge. Through this example, we show how one can design stabilizing control laws that guarantee periodic disturbance rejection and low harmonic content.

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Harmonic state space feedback control for AC/DC power converters

Cited by 4 publications

References 10 publications

A comparison of harmonic modeling methods with application to the interconnection and the control of switched systems

A comparison of harmonic modeling methods with application to the interconnection and the control of switched systems

A comparison of harmonic modeling methods with application to control of switched systems with active filtering

Necessary and Sufficient Conditions for Harmonic Control in Continuous Time

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