Wyniki wyszukiwania - BazTech

1

A new approach to analysing non-linear electrical systems

Tykocki J.

Przegląd Elektrotechniczny

|

2017

|

R. 93, nr 12

271--276

EN

The Pareto principle has been applied in economic sciences with particular emphasis on the problems associated with optimal decision making. In this paper the Pareto principle is modified in order to study the dynamics of electrical systems described by a nonlinear equation of state. A multi-parameter system with the parameters constituting the elements of the analyzed system has been defined.

PL

Zasada Pareto znalazła zastosowanie głównie w dziedzinie nauk ekonomicznych, ze szczególnym uwzględnieniem problemów związanych z optymalizacją podejmowania decyzji. W tym artykule zasada Pareto została zmodyfikowana w celu zbadania dynamiki układów elektrycznych opisanych przez nieliniowe równania stanu. Zdefiniowano wielo-parametryczny układ elementów analizowanego układu elektrycznego.

2

Classification Criteria of Linearization Methods

Myszkowski P.

Electronics and Telecommunications Quarterly

|

2009

|

Vol. 55, No 4

659-668

EN

The linearization of non-linear differential equations is a significant problem in analysis and synthesis of non-linear state equations. There are many methods of linearization, that leads to linear equation, which is an approximation of non-linear equation. Considering many different features of particular linearization methods a very important problem is how to choose a method to obtain the best results. In presented paper there are proposed criteria that make possible classifying of linearization methods. Considerations are illustrated by the example of non-linear model of electrical circuit.

3

The iterative approach to the optimal linearization method

Myszkowski P., Forenc J.

Electronics and Telecommunications Quarterly

|

2008

|

Vol. 54, No 3

389-395

EN

In presented paper the analysis of the non-linear models of physical systems will be considered. The analysis of the non-linear system dynamics will be performed by means of the linear model obtained by the optimal linearization method. The paper presents a new approach to this method, based on iterative process.

4

Linearization of non-linear state equation

Jordan A.J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

|

2006

|

Vol. 54, nr 1

63-73

EN

The paper presents an overview of linearization methods of the non-linear stale equation. The linearization is developed from the point of view of the application in the theoretical electrotechnics. Same aspects of these considerations can be used in the control theory. In particular the main emphasis is laid on three methods of linearization, i.e.: Taylor's series expansion, optimal linearization method and global linearization method. The theoretical investigations are illustrated using the non-linear circuit composed of a solar generator and a DC motor. Finally, the global linearization method is presented using several examples, Le. the asynchronous slip-ring motor and non-linear diode. Furthermore the principal theorem concerning the BIBS stability (bounded-input bounded stale) is introduced.