Generalized matrix analysis of electric firing circuits

In this work we analyze the electric processes in the electric firing circuit. A model of electric firing circuit is developed and analyzed with due regard to the impact of various internal and external energy sources. A mathematical model of the electric firing circuit in the form of a matrix equation reflectIIITII its electric state under the simultaneous operation of both standard and external sources of energy is developed; a semigraphical method for calculation of electrical detonators reliability is proposed. The complex analysis electroexplosive chain algorithm takes into account the possible impact of stray currents and their influence on the security (the possibility of a premature explosion) and reliability (possible occurrence of failures at initiation) of electroexplosion work. Application of the proposed method and algorithm is illustrated in the equivalent circuit representing the most typical electroexplosive chain option. The article describes application of the proposed mathematical model of the electroexplosive matrix circuit, the developed algorithm and method illustrated in the equivalent circuit analysis which represents the electroexplosive chain most typical option.