Mora Gil, Edwin Camilo (2022)
Minimal Admissible Control of Constrained Static Linear Systems with Applications to Power Systems.
Technische Universität Darmstadt
doi: 10.26083/tuprints-00020805
Dissertation, Erstveröffentlichung, Verlagsversion
Kurzbeschreibung (Abstract)
The path to the energy transition calls for adaptation of current decision-making algorithms in power grid operations. On this premise, novel control algorithms are desired such that the intrinsic uncertainty accompanying renewable/decentralized power generation does not jeopardize the balancing between power supply and demand. More challenging, the number of control and monitoring devices installed in the grid is growing rapidly, which inevitably introduces cyber-physical vulnerabilities. Future power systems must hence incorporate an enhanced operational resilience against unexpected, high-impact events like natural catastrophes or cyber-physical threats.
With the above scope, and abstracting the power network as a constrained static linear system, this thesis contributes a novel mathematical framework for the characterization and computation of admissible control laws. An admissible control law is understood as a feedback mapping that assigns measured quantities to control actions that always result in a possibly uncertain, but feasible system state. A central part of this thesis investigates how to verify the existence of admissible control laws. Although such verification task is in general computationally challenging, we show that in some special cases it turns into solving a finite dimensional feasibility problem. We also prove that, under appropriate assumptions, an admissible control law can always be chosen to be a piecewise-affine function that is computable either online via linear programming, or offline by solving a two-stage multiparametric linear optimization problem. In addition, the existence of admissible affine control laws can in many cases be verified efficiently by solving a linear optimization problem that also yields an admissible realization for the control law if one exists.
Furthermore, our framework provides algorithms for 1) the computation of lower and upper bounds for the minimal number of actuators and sensors that guarantee the existence of an admissible control law, 2) the design of admissible control laws that additionally cope with unexpected, malicious manipulation of some actuator/sensor signals, and 3) the computation of admissible affine output feedback control laws for constrained, linear time-invariant systems.
We finally illustrate the potential of our ideas with various applications in power flow control. Particularly, we apply our methods to identify critical generator and sensor devices for robust active power flow control in transmission networks. Besides, we show how to design robust voltage/VAr control policies for distribution networks having a large amount of photovoltaic generation units combined with imperfect observations. The set of novel tools presented in this thesis will assist both transmission and distribution system operators in many grid operation and planning tasks towards achieving the energy transition.
Typ des Eintrags: | Dissertation | ||||
---|---|---|---|---|---|
Erschienen: | 2022 | ||||
Autor(en): | Mora Gil, Edwin Camilo | ||||
Art des Eintrags: | Erstveröffentlichung | ||||
Titel: | Minimal Admissible Control of Constrained Static Linear Systems with Applications to Power Systems | ||||
Sprache: | Englisch | ||||
Referenten: | Steinke, Prof. Dr. Florian ; Faulwasser, Prof. Dr. Timm | ||||
Publikationsjahr: | 2022 | ||||
Ort: | Darmstadt | ||||
Kollation: | x, 144 Seiten | ||||
Datum der mündlichen Prüfung: | 21 Februar 2022 | ||||
DOI: | 10.26083/tuprints-00020805 | ||||
URL / URN: | https://tuprints.ulb.tu-darmstadt.de/20805 | ||||
Kurzbeschreibung (Abstract): | The path to the energy transition calls for adaptation of current decision-making algorithms in power grid operations. On this premise, novel control algorithms are desired such that the intrinsic uncertainty accompanying renewable/decentralized power generation does not jeopardize the balancing between power supply and demand. More challenging, the number of control and monitoring devices installed in the grid is growing rapidly, which inevitably introduces cyber-physical vulnerabilities. Future power systems must hence incorporate an enhanced operational resilience against unexpected, high-impact events like natural catastrophes or cyber-physical threats. With the above scope, and abstracting the power network as a constrained static linear system, this thesis contributes a novel mathematical framework for the characterization and computation of admissible control laws. An admissible control law is understood as a feedback mapping that assigns measured quantities to control actions that always result in a possibly uncertain, but feasible system state. A central part of this thesis investigates how to verify the existence of admissible control laws. Although such verification task is in general computationally challenging, we show that in some special cases it turns into solving a finite dimensional feasibility problem. We also prove that, under appropriate assumptions, an admissible control law can always be chosen to be a piecewise-affine function that is computable either online via linear programming, or offline by solving a two-stage multiparametric linear optimization problem. In addition, the existence of admissible affine control laws can in many cases be verified efficiently by solving a linear optimization problem that also yields an admissible realization for the control law if one exists. Furthermore, our framework provides algorithms for 1) the computation of lower and upper bounds for the minimal number of actuators and sensors that guarantee the existence of an admissible control law, 2) the design of admissible control laws that additionally cope with unexpected, malicious manipulation of some actuator/sensor signals, and 3) the computation of admissible affine output feedback control laws for constrained, linear time-invariant systems. We finally illustrate the potential of our ideas with various applications in power flow control. Particularly, we apply our methods to identify critical generator and sensor devices for robust active power flow control in transmission networks. Besides, we show how to design robust voltage/VAr control policies for distribution networks having a large amount of photovoltaic generation units combined with imperfect observations. The set of novel tools presented in this thesis will assist both transmission and distribution system operators in many grid operation and planning tasks towards achieving the energy transition. |
||||
Alternatives oder übersetztes Abstract: |
|
||||
Status: | Verlagsversion | ||||
URN: | urn:nbn:de:tuda-tuprints-208059 | ||||
Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau | ||||
Fachbereich(e)/-gebiet(e): | 18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Datentechnik > Energieinformationsnetze und Systeme (EINS) 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Datentechnik |
||||
TU-Projekte: | DLR|01IS18066A|AlgoRes | ||||
Hinterlegungsdatum: | 02 Mär 2022 13:08 | ||||
Letzte Änderung: | 03 Mär 2022 09:29 | ||||
PPN: | |||||
Referenten: | Steinke, Prof. Dr. Florian ; Faulwasser, Prof. Dr. Timm | ||||
Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 21 Februar 2022 | ||||
Export: | |||||
Suche nach Titel in: | TUfind oder in Google |
![]() |
Frage zum Eintrag |
Optionen (nur für Redakteure)
![]() |
Redaktionelle Details anzeigen |