Equipment Remaining Lifetime Prediction Method Based on Multiple Hidden States Fractional Brownian Motion
A technology of Brownian motion and hidden state, applied in design optimization/simulation, computer-aided design, special data processing applications, etc., can solve the problems of low equipment life prediction accuracy and only consider 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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