The index of differential-algebraic equations is one measure for the numerical problems in electric circuit simulation. The index depends on the mathematical model in different ways: setup of equations, classical or charge-oriented formulation and modelling of basic elements and semiconductor...

This paper presents, a novel, non-conventional 24-pulse converter for low-voltage high current applications based on a peculiar series connection of the primary zigzag windings. Simulation results confirmed experimental results and allowed second order phenomena to be taken into account. Even...

Let D be either a convex domain in Rd or a domain satisfying the conditions (A) and (B) considered by Lions and Sznitman (1981) and Saisho (1987). We estimate the rate of convergence for Euler scheme for stochastic differential equations in D with normal reflection at the boundary of the form...

The paper discusses a powerful approach to the routing problem in large networks of the trunk line type. The approximations are based on heavy traffic limit theorems. The sequence of suitably normalized available circuits converges to a reflected diffusion process as the size of the network...

The analogy between the basic relationships of the π-theorem of the theory of dimensionality and the principle of minimum free energy for complex chemical equilibrium is the basis for formulating new extreme principles and a mathematical model for describing the dynamics of chemical reactions...

The aggregation problem is a well-known difficulty in macroeconometric modelling. It is frequently assumed in these models that the behaviour of economic agents is uniform. Thus the behaviour of a single agent characterizes the aggregate behaviour of the agents (representative agent). However,...

The application of Petri nets and AI to enhance the effectivity of modeling and simulation is envisaged. The combined use of both disciplines enabling the dynamic control of simulation by intelligent demons as well as the realization of mobile knowledge bases attached to the tokens by the...

We study the approximation problem of Ef(XT) by Ef(XTn), where (Xt) is the solution of a stochastic differential equation, (Xtn) is defined by the Euler discretization scheme with step Tn, and f is a given function. For smooth f's, Talay and Tubaro had shown that the error Ef(XT) − Ef(XTn) can...

This paper illustrates one particular method whereby a real-time model simultaneously operates with an actual Power Electrotechnical System. The principle consists of using the “instantaneous difference” between significant quantities of the actual system and the same quantities simulated in...