Algorithm for Minimizing the Error in Determining the Currents and Voltages of a Linear Electrical Circuit by Means of a Bilinear Theorem

The bilinear theorem (BT) is actively used in various fields of electrical engineering to determine the dependence of the characteristics of the circuit operation mode (currents and voltages) on the parameters of the circuit elements (resistances and conductivities). The use of BT allows you to analyze the sensitivity of the characteristics of an electrical circuit to changes in the parameters of its elements. Purpose: to reduce the error in determining constants. A new algorithm for determining constants is proposed. A comparison of the new algorithm with the traditional one is given. As a result of comparing the conditionality of determining constants by different methods, it was concluded that the new algorithm reduces the conditionality by six orders of magnitude, which gives a tangible result when determining the characteristics of the circuit using BT. When comparing the error of determining constants from the conditionality, the new algorithm turns out to be better.