The capstone accepts only the ideal finite switched-capacitor ledger. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
The converter audit waits for every source chain
Snapshot charge, sharing loss, phase output, packet current, resistance, and power must all be accepted first.
sources = snapshot + share + phase + cycle + packet + resistance + power \text{sources}=\text{snapshot}+\text{share}+\text{phase}+\text{cycle}+\text{packet}+\text{resistance}+\text{power} sources = snapshot + share + phase + cycle + packet + resistance + power Switched-capacitor audit Every visible claim cites a checked source. snapshot source share source phase source cycle source packet source resistance source power source accepted
The audit stays accepted as the packet-power chain changes coherently
Each row rebuilds the full converter chain with a different packet frequency.
I avg P out R eq gate 6 A 24 W 1 ohm pass 12 A 48 W 1 ohm pass 18 A 72 W 1 ohm pass \begin{array}{c|c|c|c}I_{\text{avg}}&P_{\text{out}}&R_{\text{eq}}&\text{gate}\\6\ \text{A}&24\ \text{W}&1\ \text{ohm}&\text{pass}\\12\ \text{A}&48\ \text{W}&1\ \text{ohm}&\text{pass}\\18\ \text{A}&72\ \text{W}&1\ \text{ohm}&\text{pass}\\\end{array} I avg 6 A 12 A 18 A P out 24 W 48 W 72 W R eq 1 ohm 1 ohm 1 ohm gate pass pass pass
The switched-capacitor converter claim cites every source
The final accepted label is produced only after source identity and arithmetic checks all close.
packet current = 12 A R eq = 1 ohm P out = 48 W \text{packet current}=12\ \text{A}\quad R_{\text{eq}}=1\ \text{ohm}\quad P_{\text{out}}=48\ \text{W} packet current = 12 A R eq = 1 ohm P out = 48 W Switched-capacitor audit Every visible claim cites a checked source. snapshot source share source phase source cycle source packet source resistance source power source accepted