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Sequence Domain SISO Equivalent Models of a Grid-tied Voltage Source Converter System for Small-Signal Stability Analysis

Zhang, Chen; Molinas Cabrera, Maria Marta; Rygg, Atle; Cai, Xu
Journal article, Peer reviewed
Accepted version
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URI
http://hdl.handle.net/11250/2592295
Date
2017
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  • Institutt for teknisk kybernetikk [2188]
  • Publikasjoner fra CRIStin - NTNU [19799]
Original version
IEEE transactions on energy conversion. 2017, 32 (2), 741-749.   10.1109/TEC.2017.2766217
Abstract
This paper presents a generalized method for converting multi-input and multi-output (MIMO) dq impedance model of a grid-tied voltage source converter system into its sequence domain single-input and single-output (SISO) equivalents. As a result, two types of SISO impedance models were derived, one of which was derived from relatively strong and dq symmetric grid assumption (reduced SISO model) and the other was based on closed-loop equivalent (accurate SISO model). It was proven that the accurate SISO model has the same marginal stability condition as the MIMO model. Accuracy of these models is assessed with respect to the measured impedances in PSCAD/EMTDC simulations, their effects on stability are analyzed as well. Findings show that the accurate SISO model presents identical stability conclusions as the MIMO model. However, the reduced SISO model may lead to inaccurate results if the system is highly dq asymmetric, e.g., VSC with fast phase-locked loop or an actively controlled grid.
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Journal
IEEE transactions on energy conversion

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