Systematic Design of a DLQR Applied to Grid-Forming Converters

被引：13

作者：

de Almeida, Pedro Machado ^{[1
]}

Ribeiro, Adeilson S. B. ^{[1
]}

Souza, Igor D. N. ^{[2
]}

Fernandes, Marcelo de C. ^{[4
]}

Fogli, Gabriel A. ^{[3
]}

Cuk, Vladimir ^{[5
]}

Barbosa, Pedro Gomes ^{[1
]}

Ribeiro, Paulo Fernando ^{[6
]}

机构：

[1] Univ Fed Juiz de Fora, Elect Energy Dept, BR-36036900 Juiz De Fora, Brazil

[2] Univ Fed Ouro Preto, BR-35400000 Ouro Preto, Brazil

[3] Univ Fed Minas Gerais, BR-31270901 Belo Horizonte, MG, Brazil

[4] Rensselaer Polytech Inst, Elect Comp & Syst Engn, Troy, NY 31270 USA

[5] Eindhoven Univ Technol, Elect Engn, NL-5612 AZ Eindhoven, Netherlands

[6] Univ Fed Itajuba, BR-37500903 Itajuba, Brazil

来源：

IEEE JOURNAL OF EMERGING AND SELECTED TOPICS IN INDUSTRIAL ELECTRONICS | 2020年 / 1卷 / 02期

关键词：

Digital linear quadratic regulator (LQR); digital resonant controller; grid-forming; LC output filter; VOLTAGE-SOURCE INVERTER; CONTROLLERS; STRATEGIES; SINGLE;

D O I：

10.1109/JESTIE.2020.3017124

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This article proposes a systematic state-space procedure to design an optimal discrete-time linear quadratic regulator applied to grid-forming converters. A comprehensive mathematical modeling of a voltage-sourced converter with an LC output filter is performed and a systematic way of including digital resonant compensators is addressed. The choice of weights is based on the minimization of selected transfer functions infinity norm, as well as on the stability margin and bandwidth. The effects of weighting on closed-loop transfer functions shape are analyzed and important points are discussed in order to establish a methodical way of choosing the weighting matrices. Experimental results are presented to validate the design and to demonstrate the system effectiveness with high loading and highly nonlinear balanced and unbalanced loads.

引用

页码：200 / 210

页数：11

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