Numerical Instability in EMTP-ATP Due to Negative Inductance (CROSBI ID 510499)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Tokić, Amir ; Uglešić, Ivo
engleski
Numerical Instability in EMTP-ATP Due to Negative Inductance
A negative leakage inductance may appear in the representation of the three winding saturable transformer (Saturable Transformer Component - STC) because of the star equivalent used for the STC. The consequence of the negative inductance is the existence of one large positive system matrix eigenvalue, when state space form is applied. The appearance of the positive eigenvalue is the primary reason for numerical instability of the trapezoidal rule when it is applied in EMTP. On the other hand, without the adjustment of the transformer model, the BDF numerical rule stays stable for large positive eigenvalues because of its particular characteristics in the area of numerical stability. The problem of numerical instability is illustrated on the test case for circuits with negative leakage inductance. Such circuits represent physically stable systems for which the BDF numerical rule may give a stable numerical response, contrary to the trapezoidal rule.
transformer model; unstable response; numerical instability; trapezoidal rule; backward differentiation formulas BDF rule; stability domain
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o prilogu
42-54-x.
2005.
objavljeno
Podaci o matičnoj publikaciji
Podaci o skupu
European EMTP-ATP Conference, EEUG Meeting 2005
predavanje
12.09.2005-14.09.2005
Varšava, Poljska