Device residual life prediction method based on multi-hidden state fractional Brownian motion
A Brownian motion, hidden state technology, applied in electrical digital data processing, computer-aided design, design optimization/simulation, etc., can solve the problems of low accuracy of equipment life prediction, only considering the current observation value, etc., to improve life prediction. Accurate, model-flexible effects
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[0041]The embodiment takes lithium-ion batteries as an example, and provides a method for predicting the remaining life of equipment based on multi-hidden state fractional Brownian motion. The specific steps are as follows:
[0042] Step 1: Select the nonlinear function according to the life degradation trend of the equipment, and determine the nonlinear fractional Brownian motion model of the nonlinear function, and regard the parameters in the nonlinear function as unobservable state variables, and the unobservable state variables are hidden state.
[0043] This step uses the empirical degradation function of the lithium battery as a nonlinear function in the nonlinear fractional Brownian motion model. The chosen nonlinear function is:
[0044] μ(τ;θ)=a·b·exp(bτ)+c·d·exp(dτ)
[0045] Among them, τ is a variable in the nonlinear function, and a, b, c and d are parameters in the nonlinear function;
[0046] The above nonlinear fractional Brownian motion model is:
[0047] ...
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