THE USE OF MARKED GRAPHS FOR ASSESSING THE RELIABILITY OF AGRICULTURAL MACHINERY ACTUATORS

The paper provides a method of determining the reliability of the electric drive of agricultural machinery basing on the use of marked graphs of the actuator states. Using the mathematical apparatus, the authors consider an electric drive as a dynamic system consisting of n elements and having N states, i.e. as a system with discrete states. The considered system can change its states at any time, so a random process going on inside it can be regarded as a continuous-time process. If continuous-time stochastic process occur in a system with discrete states, the system transitions from state to state may be regarded as being e influenced by some event streams - the flows of failures and restorations of electric drive elements. A random process with discrete states is referred to as the Markov process in case all the probabilistic characteristics of the process depend on the its current state and does not depend on its characteristics in the past (the future depends on the past through the present). If a process is Markovian, all event streams changing the system states are the simplest. Event streams are the simplest, if they meet the requirements of stationary, ordinary nature and the absence of aftereffect. The authors have developed a system of differential equations that describe the numerous set of states and implemented limiting transition to algebraic equations, the solution of which has allowed relatively easy determination of the factors of availability and forced downtime of an electric drive.

электропривод, надежность, граф, дифференциальные уравнения, потоки отказов и восстановлений, коэффициент готовности, electric drive, reliability, graph, differential equations, failure and restoration flows, availability factor

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