Title :
Sensitivity analysis of differential-algebraic systems using the GMRES method-application to power systems
Author :
Chaniotis, Dimitrios ; Pai, M.A. ; Hiskens, Ian
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
This paper outlines a technique which solves the sensitivity as well as the system equations in an efficient manner. Instead of solving the two sets of equations simultaneously, we propose integrating the system equations and then solving the sensitivity equations in a “staggered fashion”, using the preconditioned Generalized Minimum Residual (GMRES) method. This reduces the computation time. The method is directly applicable to hybrid systems, of which power systems form an important application area
Keywords :
Jacobian matrices; Newton-Raphson method; differential equations; limit cycles; matrix decomposition; power system analysis computing; power system dynamic stability; power system parameter estimation; sensitivity analysis; Jacobian factorization; Newton-Raphson method; differential-algebraic systems; hybrid systems; ill-conditioning; iterative procedure; linear time-varying equations; power systems application; preconditioned generalized minimum residual method; sensitivity analysis; staggered hybrid method; trapezoidal rule; two-axis machine model; Costs; Differential algebraic equations; Differential equations; Hybrid power systems; Jacobian matrices; Power system analysis computing; Power system dynamics; Power system modeling; Power system reliability; Sensitivity analysis;
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.2001.921260
