When the time t equals the time constant τ, a specific equation shows that the charge on the capacitor is about 63.2% of its maximum value (Q0). In simpler terms, it takes one time constant for the capacitor to reach around two-thirds of its full charge. The time constant is crucial...
When the capacitor is full, the voltage of 𝐶FCCCFCC or 𝑉SOC(𝑡)VSOC(t) goes to 1 V, and this case represents 100% SOC. Otherwise, the voltage drops down to 0 V or 0% SOC if the 𝐶FCCCFCC is empty. The 𝑅self_disRself_dis, which is connected to the 𝐶FCCCFCC, ...
Base on the operating point given in high-frequency ripple analysis, capacitor voltage, inductor current and DC-link voltage can be expressed by: (10) wherevc(t)il(t)vd(t) are corresponding low-frequency oscillations. Hence, based on Equation (2) DC side current could be modified as: ...