Posted by sotxbill on February 13, 2020 at 12:43:23 from (104.5.24.112):
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Using equivalent Capacitance of battery Ah
I=C V/T for lossless battery for ramped voltage
Rb = ESR of battery = V/I []
or in other words ripple V=I*Rb
But if there is series inductance from power source, this integrates the pulse voltage and attenuates ripple..
All capacitors and batteries alike in the same quality, size and voltage range may have different Ah ratings like capacitors have different uF ratings.
From my experience low ESR e-caps are have a C*ESR=T time constant <10 s and smallest <1s, while general purpose (G.P.) caps are > 100 s to > 1000 s in larger sizes.
You can research all battery chemistry and sizes to find the ESR and ESR*C or ESR*Ah product constants for quality and types.
Generally the RdsOn in the Switch must be << Load. Since Rb or ESR of battery is very low (mOhm), the use of SMPS topology raised effective impedance by duty cycle of switch and inductive impedance. But Switch loss is a tradeoff with cost and C/x charge rates and ripple voltage depends on Z=|L| which depends on cost budget, charge rate and pulse frequency
Higher f also adds cost for EMC reduction, but reduces cost of L due to high currents and saturation.
or
All batteries can be approximated as a capacitor with a large series resistance; the series resistance is sufficiently large to give a large time constant for discharge but not large enough for the battery to appear as a constant current source. The "chemistry" within the cell decides the max current available (shorted current) but more importantly it modifies the discharge curve.
or 41-2131/0212/CD 8 www.cdtechno.comThe AC ripple current (IAC) is driven by the AC ripple voltage (VAC) from the charger and will be a function of the cell (battery) internal resistance/impedence (Ri ac) in accordance with ohms law, lAC=VAC/Rac.As can be seen in the equation, lAC=VAC/Rac, the AC ripple current will increase with increasing AC ripple voltage from the charger. Also, note that the AC ripple current for a given AC ripple voltage will vary with the internal resistance of the specific battery. For example, a high rate AGM type of cell with a very low internal resistance will experience a greater AC ripple current than that experienced by a higher resistance gelled electrolyte cell with the same applied AC ripple voltage.
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