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A theoretical investigation of the emission current temperature dependence of the auxiliary cathode in magnetrons with cold secondary-emission cathodes is performed. Different methods of providing a spatial-charge limited emission from the auxiliary cathode are studied in order to eliminate the temperature dependence of auxiliary cathode thermionic current. A new design of the auxiliary cathode is proposed, which is supposed to provide a greater stability with respect to the cathode temperature variations as compared to the currently manufactured magnetrons.