Projekt per år
Sammanfattning
Electric power systems are undergoing huge changes due to the shift from conventional power production to more renewablebased generation like solar and wind. This is primarily driven by the need to mitigate climate change by reducing CO2 emissions. The shift to more generation from solar and wind will affect the dynamical behaviour of power systems, and consequently how they should be controlled. This thesis explores optimal control with respect to disturbance rejection. The systems that are investigated are damped massspring systems. The dynamics of AC frequency in power systems can be captured through such models. Further, the implications of the derived optimal control laws are investigated.
In the first paper of this thesis, undamped massspring systems (and more generally lossless systems) are investigated. The optimal controllers that achieve the lowest 𝐻2gain and 𝐻∞gain from disturbances to performance outputs are derived analytically for a standard setup. An analytical expression of the optimal gains are also presented. Finally, the results are interpreted in the context of electrical power systems. The results show the detrimental effect low inertia, typically associated with renewable generation like solar and wind, can have on 𝐻2 performance. However, it is further shown numerically that under the optimal controller, these effects are mostly isolated to the low inertia regions of the grid.
The second paper of this thesis considers 𝐻2 optimal control for disturbance rejection for a damped massspring system with uniform damping. The main contribution is to show that the optimal controller that achieves the smallest gain from disturbances to performance outputs is itself a damped massspring system. The optimal controller works both for stable and unstable systems. In the unstable case the 𝐻2gain becomes larger than the undamped system in the first paper, while for positively damped systems it becomes smaller.
Together the results presented in this thesis offer optimal controllers for undamped and uniformly damped massspring systems. These have been applied to simple models of electrical power transmission. Finally, future work detailing how to extend the techniques to cover a broader range of power system control problems is outlined.
In the first paper of this thesis, undamped massspring systems (and more generally lossless systems) are investigated. The optimal controllers that achieve the lowest 𝐻2gain and 𝐻∞gain from disturbances to performance outputs are derived analytically for a standard setup. An analytical expression of the optimal gains are also presented. Finally, the results are interpreted in the context of electrical power systems. The results show the detrimental effect low inertia, typically associated with renewable generation like solar and wind, can have on 𝐻2 performance. However, it is further shown numerically that under the optimal controller, these effects are mostly isolated to the low inertia regions of the grid.
The second paper of this thesis considers 𝐻2 optimal control for disturbance rejection for a damped massspring system with uniform damping. The main contribution is to show that the optimal controller that achieves the smallest gain from disturbances to performance outputs is itself a damped massspring system. The optimal controller works both for stable and unstable systems. In the unstable case the 𝐻2gain becomes larger than the undamped system in the first paper, while for positively damped systems it becomes smaller.
Together the results presented in this thesis offer optimal controllers for undamped and uniformly damped massspring systems. These have been applied to simple models of electrical power transmission. Finally, future work detailing how to extend the techniques to cover a broader range of power system control problems is outlined.
Originalspråk  engelska 

Kvalifikation  Licentiat 
Tilldelande institution 

Handledare 

Tilldelningsdatum  2023 dec. 1 
Förlag  
Status  Published  2023 dec. 1 
Ämnesklassifikation (UKÄ)
 Reglerteknik
Fingeravtryck
Utforska forskningsämnen för ”On H2 and Hinfinity Optimal Control of MassSpring Networks with Power System Applications”. Tillsammans bildar de ett unikt fingeravtryck.Projekt
 1 Aktiva

ScalableControl: Scalable Control of Interconnected Systems
Rantzer, A., Jouini, T., Agner, F., Troeng, O., Kergus, P., Pates, R., Kjellqvist, O., Renganathan, V., Wu, D. & Lindberg, J.
2019/09/01 → 2024/08/31
Projekt: Forskning