Application of Microwave Average Time Profile to Analysis of Flares with Long-Duration Energy Release

We present results of study of a powerful solar flare using microwave average temporal profiles describing elementary processes of electron acceleration and precipitation.The average profile was reconstructed using simple single-peak profiles of solar flares observed in a wide range of frequencies (3-24 GHz) using the Siberian Radioheliograph.Analysis of these profiles confirms the dominance of non-thermal emission in their formation.The template for analysis includes both the average profile and an analytical approximation, which combines a fourthorder polynomial for the rising phase and two exponential functions for the decaying phase.Applying our method to the microwave temporal profile of the X1.8 long-duration flare on October 9, 2024, we revealed three secondary energy release events that occurred after the main impulsive phase and estimated their characteristics.Analysis of event characteristics reveals a gradual increase in event power -the first two events were not distinguishable in hard X-ray profiles due to low electron fluxes.The results demonstrate the effectiveness of microwave average temporal profiles in detecting secondary energy release, and their usefulness for studying long-duration flares.