Global Recharge


Black_Marrow

 

Posted

About 70%


"People love to talk, but hate to listen." Alice Duer Miller, American Author (1874-1942)

 

Posted

For true perm more like over 100%. It might be smarter to
work more on getting your Def to be near or at the soft cap.
This way even if you dont work up your recharge your DEF
will not get to bad. The 70% that Novella said is very workable,
it will not be "perma" though will be active most of the time.
To the point of if you need ML to be up at any point it will either
be ready or will be all of 15 seconds away. (note my Fort uses
right around the 70% mark for recharge and its fine even if not
perma)

Fortunata
total rechage needed for perma ML is 300%
95% if you soft cap the ML with membrains or IOs
70% for hasten
that leaves 125% for perma (at that hasten will be
perma too if alteast 3 sloted)

Night widows.
total rechage needed for perma ML is 250%
95% if you soft cap the ML with membrains or IOs
70% for hasten (note not always up but we'll use it)
20% mental training
that leaves 55% for perma (but hasten wont be
perma with only 55% so might need more for true perma

(note numbers might be off a little but I don't belive so)


 

Posted

[ QUOTE ]

Fortunata
total rechage needed for perma ML is 300%
95% if you soft cap the ML with membrains or IOs
70% for hasten
that leaves 125% for perma (at that hasten will be
perma too if alteast 3 sloted)


[/ QUOTE ]

OK, just to add in some actual numbers here (from Mids', all numbers for fortunatas):
Base duration for mindlink: 90s
Base recharge rate for mindlink: 300s.

Recharge formula:
actual recharge = base recharge / (1 + all recharge bonuses expressed as a fraction)

So what we need is:
90 = 300 / (1 + rech bonuses) ==>
300 / 90 = 1 + rech bonuses ==>
7/3 = rech bonuses.

Or, to express this as percentages, you need 233% recharge bonus to get mindlink to perma on a fortunata.

Now, three membranes in the power do indeed give you about 95% recharge bonus, so then you would need about another 138% more. If you had perma hasten that would get you 70% more, and you would only need 68% global rech in addition to that. However, in order to get poerma-hasten it takes about 105% global rech, so getting perma hasten will, automatically, get you perma-mindlink (assuming you went with three membranes in mindlink as well).

However, there is a way to get mindlink to perma without having hasten be perma (I'd still recommend taking hasten). That requires more global recharge though. It's tricky to figure out the exact amount of global recharge you need, but 80% should do it. I'm in a bit of a hurry now, but I can explain how the numbers work out when I have more time.


Infinity:
Ellen, 50 MA/Inv Scr
February Night, 14 Ice/Ice Blstr
Guardian:
SilverSwordmaid, 29 Kat/Rgn Scr
Vicious Killer, 33 Emp/Enrgy Def
Electromagness, 40 Rad/Rad Def
Sense of Humor, 50 Fire/En Tank
Virtue:
Kickfest, 50 MA/SR Scr
Freedom:
Glorious Ending, 29 EM/DA Bru

 

Posted

OK, back.

The thing to keep in mind is that what you really need is for mindlink to have 300 "ticks" pass, before 90 seconds pass. Without any recharge reduction you get one tick per second. While Hasten is up that gives you an additional 0.7 ticks per second. 3 membranes in mindlink also give an additional 0.95 ticks per second.

Anyway, based on my previous post it seems likely that Hasten might have some downtime, and mindlink could still be perma. This starts to make the math a bit more complex. Hasten has a duration of 120 seconds, and, at base, a recharge rate of 450 seconds. If you happened to get lucky and activate mindlink right after you clicked hasten you would have about 120 seconds of those additional 0.7 ticks per second. Since we are trying to perma mindlink we really only need 90 seconds so under these circumstances we would get the maximum benefit of hasten while mindlink recharged. However, we can't count on getting lucky. In fact, I only really consider mindlink perma when it will always be on under the worst of circumstances. That would be when the full downtime of hasten occurs while mindlink is recharging, so you get the minimal use of Hasten for recharge rate.

So, while hasten is down, mindlink is getting the following ticks per second: 1 (base) + 0.95 (enhancements in mindlink) + x (global recharge rate bonus) = 1.95 + x.

Let's call the Hasten downtime HD seconds.

During the remaining 90 - HD seconds of mindlink it will need to recharge. During this time it will gain 1.95 + x + 0.7 (benefit of hasten) = 2.65 + x ticks per second.

So, what we need is (HD * (1.95 + x)) + ((90 - HD) * (2.65 + x)) = 300 (total number of ticks needed for mindlink to recharge).
This gives us:
(1.95 * HD) + (x * HD) + 238.5 + (90 * x) - (2.65 * HD) - (x * HD) = 300 ==>
(90 * x) - (0.7 * HD) = 61.5 ==>
x = (61.5 + (0.7 * HD)) / 90


We've got two variables in this equation, the hasten downtime (HD) and the global recharge rate (x). However, we can figure out HD based on x, if we are allowed to make a reasonable assumption, namely that Hasten has three slots which have level 50 recharge rate IOs in them. That gives hasten a recharge rate due to enhancements of 0.99. Hasten is down for HD seconds, during that time hasten will gain
HD * (1 (base) + 0.99 (enhancements) + x (global recharge rate) = HD * (1.99 + x) ticks.
During Hasten's up time it will gain 120 (duration of hasten) * (2.69 + x) ticks (an additional 0.7 ticks per second due to the effects of hasten on its own recharge rate).
The total number fo ticks for hasten has to be 450, so we get:
(120 * (2.69 + x)) + (HD * (1.99 + x)) = 450. ==>
(HD * (1.99 + x)) = (450 - (120 * (2.69 + x))) ==>
HD = (450 - (120 * (2.69 + x))) / (1.99 + x) =
(127.2 - 120 * x) / (1.99 + x)

Now, using the previous value for x in terms of HD and substituting that into this equation for x we get:

HD = (127.2 - 120 * ((61.5 + (0.7 * HD)) / 90)) / (1.99 + (61.5 + (0.7 * HD)) / 90) ==>
HD * (1.99 + (61.5 / 90) + (7/900 * HD)) = (127.2 - 82 + (28/30 * HD)) ==>
(7/900) * HD ^2 + (1.99 + (61.5 / 90) - (28/30)) * HD - 45.2 = 0
I'm going to work out those fractions and give approximations so that we can easily solve this as a quadratic equation. Here the a term is approximately 0.00778, the b term is approximately 3.60667, and the c term is -45.2. Plugging this into the solution to the quadratic equation we get:
HD = (-3.60667 + (3.60667^2 - (4 * 0.00778 * -45.2)) ^ 0.5) / (2 * 0.00778)
= 12.21
and
HD = (-3.60667 - (3.60667^2 - (4 * 0.00778 * -45.2)) ^ 0.5) / (2 * 0.00778)
= -475.79

Clearly for hasten downtime the former is the correct solution, so this should work (barely) with a hasten downtime of approximately 12.21 seconds. Plugging this into the previous equation we get:
x = (61.5 + (0.7 * 12.21)) / 90
= 0.7783, so under these circumstances, to have mindlink truly be perma (even during the maximum downtime of hasten) we need a global recharge rate of at least 78%.

Let's check that the math is all correct by substituting all this back in:
If global recharge rate is 78% (0.78) then we get 0.78 ticks per second for that all the time. Then hasten downtime is:
(450 - ticks during hasten up time) / (ticks per second during hasten downtime), where
ticks during hasten up time = hasten duration * ticks per second during hasten up time
= 120 * ( 1 + 0.99 + 0.7 + 0.78) = 120 * 3.47 = 416.4,
ticks per second during hasten downtime = 1 + 0.99 + 0.78 = 2.77,
so hasten downtime = (450 - 416.4) / 2.77 = 12.13 seconds.

Now, during these 12.13 seconds of hasten downtime, mindlink will only get 1 + 0.95 + 0.78 = 2.73 ticks per second, or 12.13 * 2.73 = 33.11 ticks total. Mindlink still needs 300 - 33.11 = 266.89 ticks to recharge fully. During hasten uptime mindlink gets 1 + 0.95 + 0.78 + 0.7 = 3.43 ticks per second. This means the remaining 266.89 ticks will pass in 266.89 / 3.43 = 77.81 seconds, which is clearly less then the 120 second hasten duration, so we don't have to worry about an additional hasten downtime. Moreover, the mindlink recharge time while hasten is up (77.81) + the mindlink recharge time when hasten is down (12.13) = the total mindlink recharge time (89.94). 89.94 is less (barely) then the mindlink duration of 90 seconds, so this should just barely work.

Mind you, in practice, it's a good idea to have the recharge time 1 or 2 seconds faster, but technically this is the minimum global recharge you need, with hasten, to make mindlink perma.


Infinity:
Ellen, 50 MA/Inv Scr
February Night, 14 Ice/Ice Blstr
Guardian:
SilverSwordmaid, 29 Kat/Rgn Scr
Vicious Killer, 33 Emp/Enrgy Def
Electromagness, 40 Rad/Rad Def
Sense of Humor, 50 Fire/En Tank
Virtue:
Kickfest, 50 MA/SR Scr
Freedom:
Glorious Ending, 29 EM/DA Bru

 

Posted

Well, for fortunatas at least.


Infinity:
Ellen, 50 MA/Inv Scr
February Night, 14 Ice/Ice Blstr
Guardian:
SilverSwordmaid, 29 Kat/Rgn Scr
Vicious Killer, 33 Emp/Enrgy Def
Electromagness, 40 Rad/Rad Def
Sense of Humor, 50 Fire/En Tank
Virtue:
Kickfest, 50 MA/SR Scr
Freedom:
Glorious Ending, 29 EM/DA Bru

 

Posted

I have 35% global rech and it takes about 6 seconds for ML to come back up (after power drops). I don't have hasten since I didn't want to waste a power on it. Once I either complete another set, or get LoTG then I'm almost positive it will be perma or 1 second recharge (after power drops).

Also, I've 6 slotted my ML with ToHit/Rech and such.