2010 IEEE International Symposium on Industrial Electronics 2010
DOI: 10.1109/isie.2010.5637614
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Robust loop-shaping H<inf>&#x221E;</inf> control of LCL-connected grid converters

Abstract: This paper proposes the use of a robust loopshaping H∞ procedure for the current control loop of VSCs connected to the grid through LCL filters. The proposed method yields robust controllers for systems connected to grids whose equivalent impedance is only known in a predefined range. The design procedure is based on simplified classical loop-shaping principles. The result is a discrete-time controller, suitable for being executed on a Digital Signal Processor and executable in real-time that is robust for the… Show more

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Cited by 8 publications
(5 citation statements)
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“…We have also defined a base case to illustrate a possible passivity shortage analysis and W pr selection. The frequencydomain results 8 will be correlated with time-domain experimental results. The plant parameters for the four studied cases are summed up in Table II.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…We have also defined a base case to illustrate a possible passivity shortage analysis and W pr selection. The frequencydomain results 8 will be correlated with time-domain experimental results. The plant parameters for the four studied cases are summed up in Table II.…”
Section: Resultsmentioning
confidence: 99%
“…However, in practice, the lack of information at each PCC limits its knowledge to a range of possible values in a simplified dynamic model. In that situation, the conventional Robust Control theory [7] gives an approach to this problem relying on the compliance with the Small Gain Theorem using H ∞ control [8]. The basic idea behind that approach is to quantify uncertainty in terms of gain bounds and design a controller to stabilize the system in a worst case scenario that is valid for any other situation.…”
mentioning
confidence: 99%
“…H ∞ control theory in particular has been used to both analyze power electronics systems [30], synthesize [5] or tune controllers [31], [32] The µ-synthesis [33] approach based on structured singular values (SSV) allows to tune a fixed structure controller through H ∞ methods to achieve a final set of parameters that can minimize the effects of disturbances, such as model uncertainty or external noise on the closed loop performance. The method employed to tune a fixed structure controller to minimize the impact of disturbances is called D-K Iteration, presented in [34].…”
Section: ) Controller Designmentioning
confidence: 99%
“…Many research efforts have exploited the modularity and scalability of impedance shaping approach from viewpoints of active damping, virtual impedance control, to methods for passivating VSCs [18][19][20][21][22][23][24][25][26][27]. More recently, impedance shaping approaches have been fitted to exploit the superiority of existing robust control methods through convex optimization [28][29][30][31][32]. However, except in [29] where a multi-converter system is studied, the focus of existing research is often a single converter-grid interface, and a disproportionate share of research is focused on the AC side of the VSC.…”
Section: Introductionmentioning
confidence: 99%