Title :
Modified Newton and fast decoupled load flows for tracing power systems bifurcation diagrams
Author :
Alves, D.A. ; da Silva, L.C.P. ; Castro, C.A. ; da Costa, V.F.
Author_Institution :
Sch. of Electr. & Comput. Eng., UNICAMP, Brazil
Abstract :
The conventional Newton and fast decoupled load flow methods are considered to be inadequate to obtain the system´s maximum loading point due to ill-conditioning problems at and near this critical point. At this point the Jacobian matrix of the Newton-Raphson method becomes singular, and the P-V and Q-/spl theta/ decoupling assumptions made for the fast decoupled load flow formulation no longer hold. However, results obtained for the IEEE systems (14, 30, 57 and 118 buses) have shown that appropriate modifications in the above methods make them adequate for the computation of the complete bifurcation diagrams. Besides, the characteristics of the conventional methods are preserved.
Keywords :
Newton method; Newton-Raphson method; bifurcation; load flow; power system dynamic stability; IEEE 118 bus system; IEEE 14 bus system; IEEE 30 bus system; IEEE 57 bus system; Jacobian matrix; Newton-Raphson method; continuation power flow; fast decoupled load flows; ill-conditioning problems; maximum loading point; modified Newton load flows; power systems bifurcation diagrams; saddle node bifurcation; voltage collapse; Bifurcation; Jacobian matrices; Load flow; Power engineering and energy; Power engineering computing; Power system analysis computing; Power system stability; Power systems; Stability analysis; Voltage;
Conference_Titel :
Electric Power Engineering, 1999. PowerTech Budapest 99. International Conference on
Conference_Location :
Budapest, Hungary
Print_ISBN :
0-7803-5836-8
DOI :
10.1109/PTC.1999.826714
