QUANTITATIVE EVALUATION METHOD FOR RELIABILITY OF MARKOV MODEL SWITCH RELUCTANCE MOTOR SYSTEM

摘要

A quantitative evaluation method for the reliability of a Markov model switch reluctance motor system. The method comprises: solving a probability matrix P′T(t) of a switch reluctance motor system being in any survival state at any time t via a state conversion diagram of the switch reluctance motor system; calculating the sum of various elements of the probability matrix P′T(t) of the survival state, so that a reliability function R(t) is obtained; and thus calculating the average working time of the switch reluctance motor system before failure, thereby realizing the quantitative evaluation of the switch reluctance motor system and satisfying the requirements for the reliability analysis of a switch reluctance motor drive system. This disclosure has a good engineering application value.

主权项

1. A Markov model-based method for quantitative assessment of reliability of switched reluctance motor system, wherein:
obtaining a probability matrix P′T(t) of the switched reluctance motor system at any time t in any survival state, on the basis of a state transition diagram of the switched reluctance motor system:P′T(t)=[exp(-3.5928t)0.1699exp(-3.3369t)-0.1699exp(-3.5928t)5.1928exp(-3.5928t)-5.1928exp(-3.9168t)0.4666exp(-2.4156t)-0.4666exp(-3.5928t)0.2546exp(-3.5928t)-0.2546exp(-3.7578t)0.7432exp(-3.5363t)-0.7432exp(-3.5928t)0.882exp(-3.3369t)-4.1868exp(-3.5928t)+3.3048exp(-3.6611t)0.0651exp(-3.5928t)-0.0793exp(-3.3369t)+0.0142exp(-2.1598t)0.0786exp(-3.5928t)+0.0432exp(-3.3369t)-0.1218exp(-3.502t)0.0229exp(-3.5928t)-0.1265exp(-3.3369t)+0.1036exp(-3.2805t)3.3067exp(-3.5928t)+0.8831exp(-3.9168t)-4.1898exp(-3.6611t)2.4234exp(-3.9168t)-3.2209exp(-3.5928t)+0.7975exp(-2.6082t)2.7266exp(-3.5928t)+0.8938exp(-3.9168t)-3.6204exp(-3.6728t)0.0142exp(-3.5928t)+0.0652exp(-2.1598t)-0.0793exp(-2.4156t)0.3278exp(-2.4156t)-1.5188exp(-3.5928t)+1.191exp(-3.9168t)4.5113×10-4exp(-3.5928t)+0.2603exp(-3.5928t)-0.2608exp(-2.4156t)0.0171exp(-3.5928t)-0.6029exp(-2.4491t)+0.5858exp(-2.4156t)0.0154exp(-3.5928t)+0.191exp(-2.3207t)-0.2064exp(-2.4156t)0.0433exp(-3.7578t)-0.122exp(-3.5928t)+0.0787exp(-3.502t)0.0171exp(-2.4492t)-0.1359exp(-3.5928t)+0.11888exp(-3.7578t)0.1035exp(-3.5928t)+0.0229exp(-3.2805t)-0.1263exp(-3.5363t)4.1245exp(-3.5363t)-5.0445exp(-3.5928t)+0.92exp(-3.8462t)0.3314exp(-3.5928t)-0.3468exp(-3.5363t)+0.0154exp(-2.3206t)](1) where, exp represents an exponential function, and t represents time; calculating the sum of all elements in the probability matrix P′T(t) in the survival state from expression (1), to obtain a reliability function R(t):R(t)=∑t=022Pi(t)=-5.2143exp(-3.5928t)+0.8893exp(-3.3369t)+0.1985exp(-3.9168t)+0.8337exp(-2.4156t)-0.0925exp(-3.7578t)+4.3946exp(-3.5363t)-0.885exp(-3.6611t)+0.0794exp(-2.1598t)-0.1218exp(-3.5028t)+0.1265exp(-3.2805t)+0.7975exp(-2.6082t)-3.6204exp(-3.6728t)+2.7408exp(-3.5929t)-0.6029exp(-2.4491t)+0.191exp(-2.3207t)+0.0171exp(-2.4492t)+0.92exp(-3.8462t)+0.0154exp(-2.3206t)+0.0787exp(-3.502t)+0.2546exp(-3.5929t) calculating the mean time to failure (MTTF) of the switched reluctance motor system:MTIF=∫0∞R(t)t(2) and thereby carrying out quantitative assessment of reliability of the switched reluctance motor system.