Optimization of the method of redundancy of radio electronic systems

Calculation of reliability of electronic systems is a rather complex task, which consists in determining the reliability indicators of systems based on known reliability indicators of their elements. Complex systems must operate without failure for a long time, ensuring efficiency, safety, availability and other quality indicators. The solution to the problem of ensuring reliability is complicated by the hardware complexity of objects, harsh and unfavorable operating conditions, an extremely high level of reliability requirements determined by the high cost of pro-jects for the creation of electronic systems. The choice of a method for achieving reliability depends significantly on the reliability indicator or criterion. In long-term electronic systems, for example, in repeaters of satellite communication systems, with restrictions on weight and size parameters and consumed energy, sliding redundancy is often used. When analyzing the reliability indicators of complex systems, great importance is given to finding analytical dependencies and modeling that have sufficient accuracy for practice. The purpose of the work is to determine the optimal option for constructing a system in terms of time to achieve the maximum gain in the probability of failure-free operation. Systems with sliding redundancy are studied. For systems with un-loaded and loaded reserve with sliding redundancy, dependencies on the time of the probabilities of no-failure operation, the difference and the derivative of the difference of these probabilities are obtained. It is determined that the unloaded reserve ensures more reliable operation compared to the loaded reserve at the point of maxi-mum of the first derivative of the difference in the probabilities of no-failure operation and in the interval be-tween the inflection points of this function. Using a more reliable scheme with a redundancy ratio of 2/3, it is possible to expand the interval of advantage of the unloaded reserve over the loaded one in the direction of longer operating times of electronic systems, and the gain increases from 8 to 13%, which is very significant for complex systems. The proposed method allows, using equipment models of complex electronic systems, for example, space systems, communication systems, navigation and radar, to obtain important results by fairly simple methods: select a redundancy method, reserve operating mode, redundancy ratio, compare the reliability and efficiency of different design options.