NONLINEAR TRANSFORMATIONS WITH FOURIER SERIES AS APPLIED TO ELECTROTECHNICAL PROBLEMS

In recent years, develops the mathematical apparatus of reserch electric circuits energy regimes, analysis of energy conversion processes in nonlinearity, electrical equipment parameter identification with using the instantaneous power theory, which is based on signal conversion methods, submitted in the approximation dependences form, in particular Fourier series. As a rule, analyzes the processes which are used in the description of nonlinear operations with Fourier series - their multiplication, division, exponentiation, etc. The complexity of these operations virtually impossible to obtain analytical expressions to describe the final dependencies. . The implementation of these mathematical operations are usually used convolution operation, widely used when dealing with signals in radio engineering. The above operations are available to researchers in the form of well-known applications of mathematical programs. In electrical problems mentioned above character can use solutions obtained without a full-fledged use of computing resources. In electrical problems mentioned above character can use solutions obtained without a full-fledged use of computing resources. This solves another problem along the way ? the study of the mechanism of folding and intermediate results as a starting material for the determination of specific data analyzed processes. The paper focuses on the issues of the results using the series with a finite number of their members.