The increase in X-ray and ultraviolet irradiance during solar flares leads to a significant increment in the electron concentration in the ionosphere. The use of GNSS receivers allows us to estimate the change in the electron concentration in the ionosphere by estimating the total electron content of the ionosphere (TEC) on the receiver-satellite beam. Some difficulty in estimating this parameter is associated with the dependence of the TEC value on the satellite position in time. To solve this problem, methods for removing this non-linear trend from the measurement data series are used. The main technique for detrending the TEC data is the use of bandpass filtering of the data by averaging them over a certain time interval (the moving average method) or the selection of high-order polynomials that best approximate the general nature of the data change (the polynomial approximation). In this paper, a new technique is proposed for removing the trend from the TEC series for estimating the ionospheric dynamics during solar flares, which uses the averaged TEC data for several days preceding the flare under study. The article presents the results of using this technique based on the experimental data from the Mikhnevo Geophysical Observatory during the X-class flares in September 2017. It is shown that the results of data processing using current and polynomial techniques are in good agreement in the flare front interval, but differ during its decline, which may be due to the need to specify the end time of the flare when approximating the trend with a polynomial. At the same time, variations in solar radiation fluxes in the ultraviolet band have a complex shape during the recovery period, which must be taken into account when removing the trend from the TEC data.
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