Algorithm 2: Compute SOC and lithium concentration based on the state time update

$c_{s,avg}^{neg}=m_{avg}\ast x_{ekf}\left[N_s-1\right]+b_{avg}$ $if c_{s,avg}^{neg}<0 then c_{s,avg}^{neg}$ $if c_{s,avg}^{neg}>c_{s,max}^{neg}then c_{s,avg}^{neg}=c_{s,max}^{neg}$ ${\theta }^{neg}=c_{s,avg}^{neg}/c_{s,max}^{neg}$ $SOC=m_{SOC}{\theta }^{neg}+b_{SOC}$