Fractional variable-order calculus based state of charge estimation of Li-ion battery using dual fractional order Kalman filter

A novel combined estimation method for state of energy and predicted maximum available energy based on fractional-order modeling

“…To further accurately obtain the OCV at each moment, it needs to be corrected according to the value of the previous moment, as shown in Eq. (20).…”

An error covariance correction-adaptive extended Kalman filter based on piecewise forgetting factor recursive least squares method for the state-of-charge estimation of lithium-ion batteries

“…Typical battery circuit models are mainly divided into electrochemical models (EM), equivalent circuit models (ECM) and NN models [50]. Among them, ECM-based methods have been widely used because of their moderate computation and good accuracy, which are divided into the integer-order model [51] and the fractionalorder model [52]. The complexity, modeling accuracy and difficulty of these two types of models increase in descending order [53].…”

Liquid Vortex Formation in a Swirling Container Considering Fractional Time Derivative of Caputo

“…Since fractional calculus is rapidly growing recently with the old models replaced by fractional ones in the light of a diverse choice of fractional derivative definitions, we mainly concentrate on recent studies. For instance, anomalous diffusion processes were investigated by means of fractional models in oil pollution [5], in tumor growth and oncological particularities [6,7], in antioxidant vegetable [8], in the voltage regulator of the power industry [9], in nuclear neutron transport [10], in enhancing low-frequency signal [11], in computer vision [12], in radioactive and transmutation linear chains [13], in optimizing current sequences in lithium-ion batteries [14,15], in structural analysis creep [16], in the transmission dynamics of Nipah virus [17], in chronic hepatitis B-related liver fibrosis [18], in cytokeratin [19], in the link formation of temporal networks [20], in slow decay phenomena of the Tesla Model S battery [21], in the slip flow of nanoparticles [22], and in the ultrasonic propagation of wave in a fractal porous material [23], among many others.…”