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Dynamic Modeling of Hydropower Generators
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Produkt- och produktionsutveckling.ORCID-id: 0000-0002-4185-2395
2022 (Engelska)Licentiatavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

Modeling the dynamics of hydropower generators has been the aim pursued by many studies, as providing a reliable model would lead to more cost-effective designs. Hydropower generators comprise many parts, tilting-pad bearings, shaft, rotor rim, and stator among them, that contribute to the system's nonlinearities. In this thesis, the dynamics of hydropower generator is studied first by characterizing tilting-pad bearings. Multiple pad bearings are common in the industry; an eight-pad tilting-pad bearing has been studied on vertical rotors. Previous studies have shown that multiple pad bearings display stiffness and damping coefficients dependent on eccentricity and position. A model for eight-pad tilting pad bearings has been proposed and compared to experiments. The effect of cross-coupled phenomena was also investigated.

On the other hand, the generators are not rigid bodies, and the flexibility of either rotor rim or stator influences the distribution of the magnetic field, thus the force distribution. An uneven force distribution endangers the integrity of the machine. This thesis also proposes a model for a generator with flexible rotor rims and rigid stators using Lagrange equations, considering the centrifugal and Coriolis effects, the electromagnetic interaction between rotor and stator, and static and dynamic eccentricities. This model was tried on a generator prototype, discussing the impact of the connecting plates and the magnetic forces on the natural frequencies and the effect of static eccentricity.

Ort, förlag, år, upplaga, sidor
Luleå: Luleå University of Technology, 2022. , s. 119
Serie
Licentiate thesis / Luleå University of Technology, ISSN 1402-1757
Nationell ämneskategori
Teknisk mekanik
Forskningsämne
Maskinkonstruktion
Identifikatorer
URN: urn:nbn:se:ltu:diva-88896ISBN: 978-91-8048-016-1 (tryckt)ISBN: 978-91-8048-017-8 (digital)OAI: oai:DiVA.org:ltu-88896DiVA, id: diva2:1631249
Presentation
2022-03-03, C305, Luleå Tekniska Universitet, Luleå, 09:00 (Engelska)
Opponent
Handledare
Projekt
Swedish Hydropower Centre - SVCTillgänglig från: 2022-01-24 Skapad: 2022-01-24 Senast uppdaterad: 2023-09-05Bibliografiskt granskad
Delarbeten
1. Rotordynamic Characterization of Tilting-Pad Bearings With Eight Pads in Vertical Rotors 
Öppna denna publikation i ny flik eller fönster >>Rotordynamic Characterization of Tilting-Pad Bearings With Eight Pads in Vertical Rotors 
2022 (Engelska)Ingår i: Journal of energy resources technology, ISSN 0195-0738, E-ISSN 1528-8994, Vol. 144, nr 1, artikel-id 010902Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

It has been documented that stiffness and damping for a four-pad bearing are dependent not only on the magnitude of the load but also on the position of the rotor in the bearing. However, eight-pad bearings are not commonly employed on horizontal turbines, and the presence of several pads in the bearing will decisively affect the dynamics of the system. This paper evaluates the stiffness and damping coefficients of tilting-pad bearings with eight pads and explores the main frequencies acting on the forced response of a vertical rotor. The bearing properties were modeled as a function of eccentricity and position in the stationary coordinate system by Navier–Stokes equations whose results are taken from commercial software. The simulated unbalanced response is compared to experimental results; the changing position of the shaft produces a periodic stiffness and damping, which is dependent on the number of pads. Cross-coupled coefficients influence is discussed, showing that their absence makes an accurate model for the mean values. The results indicate that simulation of vertical rotors with eight-pad bearings can be simplified which allow more effective simulations and dynamic analysis. 

Ort, förlag, år, upplaga, sidor
American Society of Mechanical Engineers (ASME), 2022
Nyckelord
tilting-pad bearing, vertical rotor
Nationell ämneskategori
Teknisk mekanik
Forskningsämne
Maskinkonstruktion
Identifikatorer
urn:nbn:se:ltu:diva-86562 (URN)10.1115/1.4051803 (DOI)000720985000005 ()2-s2.0-85121689564 (Scopus ID)
Forskningsfinansiär
EnergimyndighetenLuleå tekniska universitet
Anmärkning

Validerad;2022;Nivå 2;2022-01-01 (johcin)

Tillgänglig från: 2021-08-12 Skapad: 2021-08-12 Senast uppdaterad: 2024-04-19Bibliografiskt granskad
2. Dynamic model for hydropower generators with floating rotor rim
Öppna denna publikation i ny flik eller fönster >>Dynamic model for hydropower generators with floating rotor rim
Visa övriga...
2023 (Engelska)Ingår i: Mechanical systems and signal processing, ISSN 0888-3270, E-ISSN 1096-1216, Vol. 183, artikel-id 109645Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

For rotordynamic analysis of hydropower units, the generator is treated as a rotating rigid body. However, previous studies have confirmed that certain designs of generators are elastic, so the complex geometry of generators cannot be considered rigid. This work produced a model of hydropower generators with floating rotor rims, consisting of a rigid hub and a flexible rotor rim coupled with flexible connections. The model takes into account the influence of centrifugal and Coriolis effects, and the electromagnetic interaction between rotor and stator. The model also reproduces the dynamics of the generator with static and dynamic eccentricities. A generator prototype was employed to test the model, showing its different applications. Once validated by empirical data, this model could be used when designing generators.

Ort, förlag, år, upplaga, sidor
Elsevier, 2023
Nyckelord
Rotordynamics, Magnetic force, Generator model, Hydropower, Dynamic modeling, Curved beam
Nationell ämneskategori
Teknisk mekanik
Forskningsämne
Maskinkonstruktion
Identifikatorer
urn:nbn:se:ltu:diva-88899 (URN)10.1016/j.ymssp.2022.109645 (DOI)000877355300003 ()2-s2.0-85135882306 (Scopus ID)
Projekt
Swedish Hydropower Centre - SVC
Forskningsfinansiär
EnergimyndighetenLuleå tekniska universitetChalmers tekniska högskolaUppsala universitetLunds universitet
Anmärkning

Validerad;2022;Nivå 2;2022-08-19 (hanlid);

Funder: Energiforsk, Svenska Kraftnät, KTH Royal Institute of Technology

Tillgänglig från: 2022-01-24 Skapad: 2022-01-24 Senast uppdaterad: 2024-04-19Bibliografiskt granskad

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