User:Hirmuolio Pine/sandbox

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Capacitor equipment

High slot modules
Icon remote capacitor transmitter i.png Remote Capacitor Transmitter allows a ship to transmit capacitor to a target ship. The target ship will receive more capacitor than the module consumes so in a fleet this module is used to generate more capacitor.
Vamp.png Energy Nosferatu is an offensive capacitor module. It does not use any capacitor but instead just leeches capacitor from the target ship.
Icon energy neutralizer i.png Energy Neutralizer is an offensive capacitor module. Activating the module consumes capacitor but the target ship will lose even more capacitor.
Medium slot modules
Icon cap battery.png Cap Battery increases the size of the capacitor pool by a flat ammount. Due to how capacitor recharge rate is calculated this will result in faster capacitor recharge. The module also gives partial resistance against hostile capacitor warfare.
Icon capacitor booster.png Capacitor Booster allows injecting more capacitor at demand. The module consumes cap booster charges. Each charge gives set ammount of energy. For example Cap Booster 200 will give 200 GJ of energy.
Icon capacitor recharger.png Cap Recharger reduces capacitor recharge time. The result is faster capacitor recharge.
Low slot modules
Icon capacitor recharger.png Capacitor Flux Coil reduces the capacitor pool size and capacitor recharge time. Results in faster capacitor recharge but smaller capacitor size.
Icon capacitor recharger.png Capacitor Power Relay Reduces capacitor recharge time resulting in faster capacitor recharge. But also reduces local shield booster boost ammount.
Icon powergrid.png * Power Diagnostic System offers small bonus to capacitor capacity and capacitor recharge time.
Other
Module icon engineering rig tech.png
  • Semiconductor Memory Cell increases capacitor capacity.
  • Capacitor Control Circuit reduces recharge time.
Icon implant hardwiring.png
  • Inherent Implants 'Squire' Capacitor Systems Operation EO-6XX reduces capacitor recharge time.
  • Inherent Implants 'Squire' Capacitor Emission Systems ES-7XX reduces capacitor usage of remote capacitor transmitter and energy neutralizers.
  • herent Implants 'Squire' Capacitor Management EM-8XX Bonus to capacitor capacity.


Icon mindflood.png Mindflood Booster gives a bonus to capacitor capacity.

Skills

Capacitor recharge rate

  • Your capacitor will recharge faster the closer you are to (approximately) 25% of your maximum.
  • The recharge rate drops of very quickly once you go below this.

Specifics

Experimental data on capacitor recharge. The blue points are data points from Kivena's experiments. The black line is an equation based on Dust Puppy's research which you can see at the top left corner of the image. The smaller inset graph (orange) shows a percentage of average recharge rate over current capacitor percentage. You can clearly see that maximum recharge is 2.5x the average recharge and occurs at 25%. Click to enlarge

The capacitor recharge rate is a non-linear function—the rate at any given moment depends on how much energy is stored at that moment. Near zero and near full capacity, the recharge rate is very low, and it peaks around 25 percent.

A player by the name of “Dust Puppy” investigated the recharge rate in-depth and published his findings in this thread (dead link). Based on his experiments, he suggests that the formula for calculating recharge rate is:

EVE Cap Recharge Rate Diff Formula.png

...where:
C is your current capacitor level in GJ.
Cmax is your maximum capacitor level in GJ.
dC/dt is your current capacitor recharge rate in GJ/s. (Formally: The instantaneous rate of change of the capacitor charge C with respect to time.)
T is capacitor recharge time.

Capacitor recharge, therefore, peaks at 25%, and the advertised “Capacitor Recharge Time” is actually the time for the capacitor to go from dead empty to 98.7%, assuming no drains or boosts.

Experimenting with this formula,[1] it has been found that the peak recharge rate, without any effect of boosters or energy draining weapons, is indeed at 25% of capacitor capacity.

The formula can be also used to write capacitor level as function of time

EVE Cap Recharge Rate Formula.png

where C0 is capacitor level at starting time t0 and C1 is capacitor level at time t1

The full derivation may be found at http://forum.eveuniversity.org/viewtopic.php?f=222&t=30652 (dead link).


Bottom line for EVE capsuleers: remember that the recharge rate declines dramatically once it falls below 25% of capacity. Therefore, if in a fight, leave yourself a margin of safety and consider escaping if it appears that you will soon fall below this amount.

For more on maximizing your capacitor performance, see this UNI class syllabus: Capacitor Management 101

References