Pith. sign in

REVIEW 1 cited by

Polynomial stability of wind turbine tower models

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2503.22432 v1 pith:W63QOMFY submitted 2025-03-28 math.OC math.AP

classification math.OCmath.AP
keywords nacellepolynomialstabilitysystemvelocityangulardecayenergy
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

We investigate the stabilization of mathematical models describing the structural dynamics of monopile wind turbine towers. In the fore-aft plane, we show that the system becomes polynomially stable with an energy decay rate of $t^{-1}$ under static output feedback that relies on the velocity and/or angular velocity of the nacelle. Additionally, we prove that a tuned mass damper (TMD) in the nacelle ensures polynomial stability with the same energy decay rate, offering a viable alternative to active control. For the side-to-side plane, we analyze a model incorporating a hydraulic power transmission system and prove that feedback from the nacelle's angular velocity and the generator load torque leads to polynomial stability of the system.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dynamic Stabilisation of Boundary Control Systems

    math.OC 2026-05 unverdicted novelty 6.0 of 10

    Observer-based dynamic feedback is shown to stabilize abstract boundary control systems, giving polynomial decay for wave and beam models that cannot be exponentially stabilized.

Pith tools