World Journal of Engineering Research and Technology

Yefim Berkovich*

ABSTRACT

The paper is devoted to an estimation of the role of the reactive power in electrical systems considered as the determining factor in the course of all electromagnetic processes. To find its value, we use the area of the phase portrait of the voltages and current forming it. We have shown its connection with force functions, which, in accordance with Hamilton’s principle, determine the character of the changes in the mode of an electrical system. Since the force functions are based on the formulas containing the values of the energies of reactive elements,the above said holds also in the case of reactive power. We establish a relation between the magnitude of reactive power and a new concept, negentropy of the system defined as the density of the reactive power in time. The magnitude of negentropy is considered as a factor that in the general case reduces the entropy character of modes both from the point of view of the dissipation of active power and of its ordering. In this sense, the processes in electrical systems are considered to be similar to thermodynamic processes, where in order to ensure reversible (periodic) processes, negentropy processes should be present along with entropy ones. This paper, in order to support this affirmation, on an example of the processes in the Current Mode Control (CMC) Boost Converters, analyzes, on the one hand, relations between various bifurcation modes and subsequent chaotic modes, and , on the other hand, changes of the reactive power of the pulsations of the input current. Two different CMC modes have been considered – with the input current bounded from above, and from below (bottom). The converters have been run through all the bifurcations stages with passing into chaotic modes, and in each of these modes the values of negentropy have been calculated. After that, the same evaluations have been conducted for various methods of mode synchronization. In all these cases, as well as some others, the magnitude of the reactive power, and the system’s negentropy have been evaluated and it was shown that synchronized modes occur due to an essential increase of negentropy. Our analysis has been accompanied by computer modeling of the said modes and illustrated by the necessary diagrams and plots. Our final conclusion is that it is negentropy that is the determining energy factor that brings order in the processes in converters.

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