二機無限大母線系統の定態安定度限界に関する考察

抄録

This paper proposes a method to calculate the steady state stability limit in the two synchronus machines connected to an infinite bus system from only two power equations; namely, the simultaneous power equa-tions show critical points of a potential function in the two variables. Considering that the two equations represent a vector field, one differential equation is derived as a solution when a functional relation between the two transformed variables is assumed. This differential equation is an infinite series of the one variable. If the theory of catastrophy is applied to the function which is obtained by integrating the differential equa-tion, a bifurcation set can be obtained.
Elmination of the fixed points from the obtained equation and the simultaneous equations to calculate the fixed points leads to the expression for the steady state stability limit curve (represented by P₁, P₂).
This curve is considerably swayed by the change of the nominal induced voltage, but if the quadrature-axis fluxes φ_q1 and φ_q2 are used, a new curve can be freed from the effect of the nominal induced voltage.