Jump Conditions for Second-Order Trajectory Sensitivities at Events

Trajectory sensitivity analysis has been widely used to analyze the dynamic behaviour of complex systems such as power system. It is common to use first-order sensitivities, which have been fully described for hybrid dynamical system. However, second-order trajectory sensitivities have only been ana...

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Bibliographic Details
Published in2018 IEEE International Symposium on Circuits and Systems (ISCAS) pp. 1 - 5
Main Authors Sijia Geng, Hiskens, Ian A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 27.05.2018
Subjects
Mathematical model
Power system dynamics
Power system stability
Sensitivity analysis
Switches
Trajectory
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Summary:Trajectory sensitivity analysis has been widely used to analyze the dynamic behaviour of complex systems such as power system. It is common to use first-order sensitivities, which have been fully described for hybrid dynamical system. However, second-order trajectory sensitivities have only been analyzed for continuous systems. This paper derives the jump conditions describing the behaviour of second-order trajectory sensitivities at switching and reset events. This enables second-order sensitivity analysis of general hybrid dynamical systems. The jump conditions are illustrated using a simple power system example and the results are compared with first-order sensitivities. It is shown that incorporating second-order sensitivity increases the accuracy of trajectory approximation.
ISSN:2379-447X
DOI:10.1109/ISCAS.2018.8351697