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On the Nature of Voltage Impasse Regions in Power System Dynamics Studies
KTH, School of Electrical Engineering and Computer Science (EECS), Electric Power and Energy Systems.
ABB Corp Res, S-72178 Vasteras, Sweden..
Comillas Pontificia Univ, Inst Res Technol, ICAI Sch Engn, Madrid 28015, Spain..
KTH, School of Electrical Engineering and Computer Science (EECS), Electric Power and Energy Systems.ORCID iD: 0000-0002-6431-9104
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2018 (English)In: IEEE Transactions on Power Systems, ISSN 0885-8950, E-ISSN 1558-0679, Vol. 33, no 3, p. 2660-2670Article in journal (Refereed) Published
Abstract [en]

This paper presents a fundamental study of voltage collapses that occur on a post-fault trajectory of a stressed power system in seconds after large disturbances. The focus of the study are voltage collapses that are induced by certain load models. Using an n-machine-N-bus power system model, the paper explicitly shows that the voltage collapse is caused by the non-existence of a real, positive solution for a load voltage magnitude in different areas of a relative rotor angle space when the load is of non-linear type. These "areas without voltage solution" are denoted as Voltage Impasse Regions (VIR) and are mathematically characterized as trigonometric functions of (n-1) relative rotor angles. Once the post-fault trajectory enters a VIR, voltage magnitude solutions become complex or negative, the algebraic Jacobian becomes singular, and the behaviour of a system becomes undefined. The case study has been carried out using a simple 3-machine-1-load system with static load models. In the study, VIR appeared and enlarged as the non-linear (constant power and constant current) load increased. Furthermore, the non-convergence of time-domain solution occurred exactly at VIR, thereby confirming that the problem is of structural nature.

Place, publisher, year, edition, pages
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2018. Vol. 33, no 3, p. 2660-2670
Keywords [en]
Load models, power system dynamics, stability assessment, voltage collapse, voltage impasse region
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-227754DOI: 10.1109/TPWRS.2017.2763123ISI: 000430733300031Scopus ID: 2-s2.0-85046036002OAI: oai:DiVA.org:kth-227754DiVA, id: diva2:1205707
Note

QC 20180515

Available from: 2018-05-15 Created: 2018-05-15 Last updated: 2018-05-15Bibliographically approved

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Ghandari, Mehrdad

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