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This paper presents an original method of modeling nonlinear elements, particularly acceptable in the calculation of low-frequency transformer transients. A way of generating the state matrix coefficients is described. An algorithm is developed for state variable calculations based on the hyper stable backward differentiation formulas (BDF) BDFp, p-th order. The advantages of developing an algorithm...
This paper presents possibilities of linearly based interior point method in solving multiperiod optimal power flows. LP model of interior point method for solving multiperiod optimal power flow and formulation multiperiod optimal power flows are presented. It has been shown that restarting from the optimal solution of one problem to find another optimal solution of the next perturbed problem, which...
This paper describes the way of implementing the hysteresis model in a transient simulation algorithm. The hysteresis model is not dependent on an integration step, thus it can be incorporated in a state-space form of a stiff differential equations system. The developed algorithm is based on a i-stable backward differentiation formulas-BDF numerical method. This method suppresses numerical oscillations...
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