Diagnostics of the State of Secondary Power Supplies Input Circuits Parameters Based on Analytical Expressions

The aviation equipment of modern aircraft in most cases has built-in sources of secondary power supply. The amplitude-frequency characteristics of the input stages of the secondary power supply have a characteristic shape, the form of which is determined by the total input impedance of the circuit. The presence of pronounced resonant points in the frequency response allows evaluating and, in the future, predicting the states (failures and changes in parameters) of electrical circuit elements based on the assessment of changes in the resonance parameters. Obtaining the frequency response allows one to predict with a certain degree of accuracy failures characterized by changes in the parameters of the technical condition and caused by wear or aging of the material of parts or components of electrical equipment. The resulting frequency response can be considered as a “digital portrait” and constantly monitor the smooth changes in the state of the secondary power supply (from aging and wear of the elements) and abrupt (in case of such failures as “short circuit” and “breakage”). It is proposed to use the analytical dependences of the measured electrical parameters on the values of the parameters of the reactive elements instead of the frequency response. The analytical equations are derived using a modification of the limit state method, which makes it possible to form differential equations for circuits with reactive elements using resistive subcircuits.