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In thermoelectric power plants the electrostatic precipitators are used to dedusting of high gas flow resulted the coal's burning. For a plate-type electrostatic precipitator area was made an analysis upon charging of dust particles and a numerical modeling on electric potential and electric field strength for real field duct from ESP, with pulse energization. The numerical analysis was made without clean gas and with dusty gas dust operation of electrostatic precipitator. The analysis was made by finite element method for transversal cross-section of a duct from electrostatic precipitator field, when it is supply with pulse energization.