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Erschienen in:
A Port-Hamiltonian Formulation of a Wireless Communication System Kapitel lesen Erstes Kapitel lesen

2015 | OriginalPaper | Buchkapitel

9. Control of HVDC Transmission Systems: From Theory to Practice and Back

verfasst von : Daniele Zonetti, Romeo Ortega

Erschienen in: Mathematical Control Theory I

Verlag: Springer International Publishing

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Abstract

The problem of modeling and control of multi-terminal high-voltage direct-current transmission systems is addressed in this chapter, which contains three main contributions. First, to propose a unified, physically motivated, modeling framework—based on port-Hamiltonian systems representations—of the various network topologies used in this application. Second, to prove that the system can be globally asymptotically stabilized with a decentralized PI control that exploits its passivity properties. Close connections between the proposed PI and the popular Akagi’s PQ instantaneous power method are also established. Third, to reveal the transient performance limitations of the proposed controller that, interestingly, is shown to be intrinsic to PI passivity-based control. The performances of the controller are verified via simulations on a three-terminal benchmark example.

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Vorheriges Kapitel Modeling Perspectives of Hybrid Systems and Network Systems
Nächstes Kapitel A Complement on Elimination and Realization in Rational Representations
Fußnoten
1
A directed graph is an ordered 3-tuple, \(\mathcal {G}=\{\mathcal {\mathcal V,\mathcal E},\varPi \}\), consisting of a finite set of nodes \(\mathcal {V}\), a finite set of directed edges \(\mathcal {E}\) and a mapping \(\varPi \) from \(\mathcal {E}\) to the set of ordered pairs of \(\mathcal {V}\), where no self-loops are allowed.
 
2
Synchronized operation of the VSRs is usually achieved via robust phase-locked-loop detection of the latching frequencies [35].
 
3
Unless indicated otherwise all physical parameters of the system are positive constants.
 
4
For ease of presentation we restrict the discussion here to a single VSR. The extension to multiple VSRs being straightforward.
 
5
This well-known phenomenon of nonlinear systems [16] is akin to cancellation of unstable zeros of the plant with the unstable poles of the controller in linear systems.
 
6
This discussion pertains only to the behavior of the adopted mathematical model of the VSR. In practice, other dynamical phenomena and unmodeled effects may trigger instability even for the PI–PBC.
 
7
With some abuse of notation, the zero dynamics is represented using the same symbols of the system dynamics.
 
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Metadaten
Titel
Control of HVDC Transmission Systems: From Theory to Practice and Back
verfasst von
Daniele Zonetti
Romeo Ortega
Copyright-Jahr
2015
Buch
Mathematical Control Theory I

Print ISBN: 978-3-319-20987-6

Electronic ISBN: 978-3-319-20988-3

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-20988-3_9

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