APPROXIMATION CURRENT - VOLTAGE CHARACTERISTICS OF DISCHARGE LAMPS WITH EXPERIMENTAL LAPSES
Keywords:
current - voltage characteristic, approximation, experiment, spline, lapses.Abstract
This paper presents issue of experimental current - voltage characteristics approximation method with smoothing of measurements regular lapses, what can be used for various types of discharge lamps.
Thanks to simpl expressions and small settlement algorithms algebraic approximation is widely used for calculations. At the calculations of electric chains with discharge lamps current - voltage characteristics are represented by models by algebraic either trigonometrical polynomials, or the differential equations gained by measured data approximation . Each of these approaches has the advantages and deficiencies.
Various algebraic expressions approximating dependences are widely used for approximation current - voltage characteristics of discharge lamps. The most difficult is quadrangular approximation. Thus voltage on a lamp is represented in the tetragon form.
As experimental data have the errors caused by a lapse of measurements, therefore smoothing lapses interpolation are expediently. This issue is solved by smoothing approximation by splines.
It is possible to gain smoothing spline which provides the maximum smooth finish of a total polynomial, and the deviation from measurements results will not exceed a permissible error specified value.
In this paper propouse effective method of trigonometrical approximation of the periodic signals measured with some lapses. The sweeping Fourier transform is applied to definition of amplitudes of the Fourier. Smoothing of lapses of measurements occurs by zeroing small on the module of oscillation amplitudes matching to high frequencies. On the basis of the built technique the algorithm is realised in the form of the program "Current and voltage harmonic analysis".
The results: 1) or smoothing of lapses of measurements the periodic cubic spline is chosen and built; 2) the program "Current and voltage Harmonic analysis" is created.
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