A root-locus design methodology derived from the impedance stability criterion and its application for LCL grid-connected converters

Enrique Rodriguez-Diaz; Francisco D. Freijedo; Mohammad S. Golsorkhi; Juan C. Vasquez; Josep M. Guerrero

doi:10.1109/EPE.2016.7695473

A root-locus design methodology derived from the impedance stability criterion and its application for LCL grid-connected converters

Enrique Rodriguez-Diaz, Francisco D. Freijedo, Mohammad S. Golsorkhi, Juan C. Vasquez, Josep M. Guerrero

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Abstract

This paper presents a systematic methodology for design and tuning of the controller of LCL grid-connected converters. The proposed approach is derived from the impedance/admittance stability formulation, which eases the controller modelling of LCL grid-connected systems. After system modelling, a modified sensitivity function is defined to analyze the closed loop dynamics. For practical development, the control objectives are linked to main requirements in wind turbine applications: 1) the current control time constant should be minimized and 2) active damping actions should effectively mitigate the LCL resonance. After the theoretical development, an insightful case study is provided. It is shown that the tuning problem can be solved approximately by root-loci inspection and an optimum solution can be found by direct search. The theoretical approach is experimentally verified by a lab-scale prototype that uses the same parameters of the case study.

Original language	English
Title of host publication	2016 18th European Conference on Power Electronics and Applications, EPE 2016 ECCE Europe
Publisher	IEEE
Publication date	25. Oct 2016
Article number	7695473
ISBN (Electronic)	9789075815245
DOIs	https://doi.org/10.1109/EPE.2016.7695473
Publication status	Published - 25. Oct 2016
Event	18th European Conference on Power Electronics and Applications, EPE 2016 ECCE Europe - Karlsruhe, Germany Duration: 5. Sept 2016 → 9. Sept 2016

Conference

Conference	18th European Conference on Power Electronics and Applications, EPE 2016 ECCE Europe
Country/Territory	Germany
City	Karlsruhe
Period	05/09/2016 → 09/09/2016

Bibliographical note

Publisher Copyright:
© 2016 IEEE and EPE Association.

Keywords

Ac/dc converter
Active damping
Converter control
Wind energy

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10.1109/EPE.2016.7695473

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Rodriguez-Diaz, E., Freijedo, F. D., Golsorkhi, M. S., Vasquez, J. C., & Guerrero, J. M. (2016). A root-locus design methodology derived from the impedance stability criterion and its application for LCL grid-connected converters. In 2016 18th European Conference on Power Electronics and Applications, EPE 2016 ECCE Europe Article 7695473 IEEE. https://doi.org/10.1109/EPE.2016.7695473

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title = "A root-locus design methodology derived from the impedance stability criterion and its application for LCL grid-connected converters",

abstract = "This paper presents a systematic methodology for design and tuning of the controller of LCL grid-connected converters. The proposed approach is derived from the impedance/admittance stability formulation, which eases the controller modelling of LCL grid-connected systems. After system modelling, a modified sensitivity function is defined to analyze the closed loop dynamics. For practical development, the control objectives are linked to main requirements in wind turbine applications: 1) the current control time constant should be minimized and 2) active damping actions should effectively mitigate the LCL resonance. After the theoretical development, an insightful case study is provided. It is shown that the tuning problem can be solved approximately by root-loci inspection and an optimum solution can be found by direct search. The theoretical approach is experimentally verified by a lab-scale prototype that uses the same parameters of the case study.",

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author = "Enrique Rodriguez-Diaz and Freijedo, {Francisco D.} and Golsorkhi, {Mohammad S.} and Vasquez, {Juan C.} and Guerrero, {Josep M.}",

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year = "2016",

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Rodriguez-Diaz, E, Freijedo, FD, Golsorkhi, MS, Vasquez, JC & Guerrero, JM 2016, A root-locus design methodology derived from the impedance stability criterion and its application for LCL grid-connected converters. in 2016 18th European Conference on Power Electronics and Applications, EPE 2016 ECCE Europe., 7695473, IEEE, 18th European Conference on Power Electronics and Applications, EPE 2016 ECCE Europe, Karlsruhe, Germany, 05/09/2016. https://doi.org/10.1109/EPE.2016.7695473

A root-locus design methodology derived from the impedance stability criterion and its application for LCL grid-connected converters. / Rodriguez-Diaz, Enrique; Freijedo, Francisco D.; Golsorkhi, Mohammad S. et al.
2016 18th European Conference on Power Electronics and Applications, EPE 2016 ECCE Europe. IEEE, 2016. 7695473.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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AU - Rodriguez-Diaz, Enrique

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AU - Vasquez, Juan C.

AU - Guerrero, Josep M.

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N2 - This paper presents a systematic methodology for design and tuning of the controller of LCL grid-connected converters. The proposed approach is derived from the impedance/admittance stability formulation, which eases the controller modelling of LCL grid-connected systems. After system modelling, a modified sensitivity function is defined to analyze the closed loop dynamics. For practical development, the control objectives are linked to main requirements in wind turbine applications: 1) the current control time constant should be minimized and 2) active damping actions should effectively mitigate the LCL resonance. After the theoretical development, an insightful case study is provided. It is shown that the tuning problem can be solved approximately by root-loci inspection and an optimum solution can be found by direct search. The theoretical approach is experimentally verified by a lab-scale prototype that uses the same parameters of the case study.

AB - This paper presents a systematic methodology for design and tuning of the controller of LCL grid-connected converters. The proposed approach is derived from the impedance/admittance stability formulation, which eases the controller modelling of LCL grid-connected systems. After system modelling, a modified sensitivity function is defined to analyze the closed loop dynamics. For practical development, the control objectives are linked to main requirements in wind turbine applications: 1) the current control time constant should be minimized and 2) active damping actions should effectively mitigate the LCL resonance. After the theoretical development, an insightful case study is provided. It is shown that the tuning problem can be solved approximately by root-loci inspection and an optimum solution can be found by direct search. The theoretical approach is experimentally verified by a lab-scale prototype that uses the same parameters of the case study.

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A root-locus design methodology derived from the impedance stability criterion and its application for LCL grid-connected converters

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