Title :
Direct assessment of transient singularity in differential-algebraic systems
Author :
Singh, Chamun ; Hiskens, Ian A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Newcastle Univ., NSW, Australia
Abstract :
Characterization of the stability boundary of differential-algebraic (DAE) systems is more complicated than for systems described by ordinary differential equations (ODEs). In addition to unstable equilibria and periodic orbits, algebraic singularity plays an important role in defining the stability boundary. This paper presents a Lyapunov-based method for direct assessment of transient singularity, thus enabling estimation of the region of state-space where the system model remains valid
Keywords :
Lyapunov methods; stability; state-space methods; transient analysis; Lyapunov-based method; differential-algebraic systems; periodic orbits; stability boundary; state-space regions; system model; transient singularity; unstable equilibria; Australia; Differential equations; Orbits; Power system dynamics; Power system modeling; Power system stability; Power system transients; Stability analysis; State estimation; Voltage;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921282