Smoke Generator (Smoke Screen)

[Edit] Smoke Generator (Smoke Screen) No.500 発煙装置(煙幕)
Surface Ship Equipment Effects: +1 trigger Smoke screen Scrap value: 1 0 0 1 (Buildable)
Card Fairy Equipment Combination
Refittable Ship Types
Fast Battleship	Battleship
Aviation Battleship	Standard Aircraft Carrier
Armored Carrier	Light Carrier
Heavy Cruiser	Aviation Cruiser
Light Cruiser	Torpedo Cruiser
Training Cruiser	Destroyer
Coastal Defense Ship	Submarine
Aircraft Carrying Submarine	Seaplane Tender
Fleet Oiler	Submarine Tender
Repair Ship	Amphibious Assault Ship

Introduction

敵から艦隊を隠す「煙幕」を発生させる艦載の発煙装置です。
主に駆逐艦などの小型艦で運用し、大きな「煙幕」を発生させ ることで敵の砲撃や爆撃の光学照準を阻害、艦隊を守ります。
多数投入することで、より濃密な煙幕を展開させることも可能 です。
※電探装備の敵の攻撃には注意が必要です！

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Mechanics

Smoke Generators can be used in combat to deploy a smoke screen.

• Generality
• Activation Requirements
• Trigger Rate
• Accuracy Effect
• AA Effect

Example of a large smoke deployed.

• There are 3 smoke screen sizes, being Small < Medium < Large.
  • The maximum smoke size that can be generated is dependent on the number of smoke generators, being respectively 1/2/3.
  • Note that improvements also affect the maximum smoke level possible.
• It sharply reduces the accuracy of all fleets, proportionally to the smoke screen size (the hit rate is still capped at 11%).
  • This effect can be partially bypassed by using radars (both sides).
• The effect will last for the day battle, even so the animation will fade before the battle's end.

Smoke activation button next to the Formation ones.

• If equipped, it can be activated with a specific button when selecting the formation.
  • It can be activated multiple times per sortie until it triggers, being triggerable once, in day battle only.
• It cannot be activated in Exercises in the current implementation.
• The trigger rate is not 100% and depends on the fleet's flagship's luck , as well as the amount and type of Smoke Generators used.
  • For combined fleets, it is the luck of the main flagship.
  • The size of the triggered smoke screen depends on how many smoke generators are used.
• It will only trigger at the beginning of day battle.

The 3 different smoke size

• The trigger rate depends on:
  • The number of "Smoke Generators" in the fleet,
  • The flagship Level and Luck (secretary for Combined Fleets),
  • improvements of the generator.
• Regarding the equipment:
  • Each Smoke Generator (Smoke Screen) counts as 1,
  • Each Smoke Generator Kai (Smoke Screen) counts as 2,
  • improvements of the generator can also count as 1 ([1][2]).

Two formulas have been determined to approximate the trigger rate of smoke screens.

• The 2nd formula is based on the 1st one with additional hypothesis,
• A measurement of the trigger rate can be found here,
• Both formulas can be directly compared here.
• It is possible to have a total trigger rate for all 3 sizes of 100%, giving the FS has enough luck & enough generators are used.

ExpandTrigger Rate Formula 1 [3]
[math]\displaystyle{ \text{P}_\text{0} = 3.2 - 0.2 \times \text{K} - \text{N}_\text{Generator} }[/math] If [math]\displaystyle{ \text{Luck}_\text{flag} ≥ 1 \text{ & } \text{N}_\text{Generator} ≥ 3 }[/math], then [math]\displaystyle{ \text{P}_\text{0} = 0 }[/math] [math]\displaystyle{ \text{K} = \bigg\lceil \sqrt{ \text{Luck}_\text{flag} } + 0.3 \times \bigstar_\text{base} + 0.5 \times \bigstar_\text{Kai} \bigg\rceil }[/math]
[math]\displaystyle{ \text{N}_\text{Generator} = 1 }[/math]	[math]\displaystyle{ \text{N}_\text{Generator} = 2 }[/math]	[math]\displaystyle{ \text{N}_\text{Generator} ≥ 3 }[/math]
[math]\displaystyle{ \begin{align} \text{P}_\text{1} &= 1 - \text{P}_\text{0} \\ \text{P}_\text{2} &= 0 \\ \text{P}_\text{3} &= 0 \end{align} }[/math]	[math]\displaystyle{ \begin{align} \text{P}_\text{1} &= 1 - \text{P}_\text{0} - \text{P}_\text{2} \\ \text{P}_\text{2} &= 0.05 \times ( 1 - \text{P}_\text{0} ) \times ( \text{K} + 2 ) \\ \text{P}_\text{3} &= 0 \end{align} }[/math]	[math]\displaystyle{ \begin{align} \text{P}_\text{1} &= 1 - \text{P}_\text{2} - \text{P}_\text{3} \\ \text{P}_\text{2} &= \min ( 0.3 ; 1 - \text{P}_\text{3}) \\ \text{P}_\text{3} &= X \times \text{K} + 0.15 \times ( \text{N}_\text{Generator} - 3 ) \end{align} }[/math] The X coefficient is unclear yet, being about 0.04~0.045.
With [math]\displaystyle{ \text{P}_\text{0}, \text{P}_\text{1}, \text{P}_\text{2}, \text{P}_\text{3} }[/math] the respective rates for the trigger of smokes levels 0 to 3, [math]\displaystyle{ \text{N}_\text{Generator} }[/math] the amount of Smoke Generators: Each base generator count as 1, Each Kai generator count as 2, A very high improvement level (~ ≥ 17) counts as 1. [math]\displaystyle{ \text{Luck}_\text{flag} }[/math] the flagship's luck, [math]\displaystyle{ \bigstar_\text{base} }[/math] the total improvement level of the base generators, [math]\displaystyle{ \bigstar_\text{Kai} }[/math] the total improvement level of the Kai generators,

ExpandTrigger Rate Formula 2 [4]
[math]\displaystyle{ \text{Level 0}_\text{Rate %} = \max \big( 0 ; \min ( 100 ; 3.2 - 0.2 \times \text{K} - \text{N}_\text{Generator} ) \big) }[/math] If [math]\displaystyle{ \text{Luck}_\text{flag} ≥ 1 \text{ & } \text{N}_\text{Generator} ≥ 3 }[/math], then [math]\displaystyle{ \text{Level 0}_\text{Rate %} = 0 }[/math] [math]\displaystyle{ \text{K} = 5 \times \text{N}_\text{Generator} + 1.5 \times \sqrt{ \text{Luck}_\text{flag} } + 0.3 \times \bigstar_\text{base} + 0.5 \times \bigstar_\text{Kai} }[/math]
[math]\displaystyle{ \text{N}_\text{Generator} = 1 }[/math]	[math]\displaystyle{ \text{N}_\text{Generator} = 2 }[/math]	[math]\displaystyle{ \text{N}_\text{Generator} ≥ 3 }[/math]
[math]\displaystyle{ \begin{align} \text{Level 1}_\text{Rate %} &= 100 - \text{Level 0}_\text{Rate %} \\ \text{Level 2}_\text{Rate %} &= 0 \\ \text{Level 3}_\text{Rate %} &= 0 \end{align} }[/math]	[math]\displaystyle{ \begin{align} \text{Level 1}_\text{Rate %} &= ( 100 - \text{Level 2}_\text{Rate %} ) \times ( 1 - \text{Level 0}_\text{Rate %} ) \\ \text{Level 2}_\text{Rate %} &= ( 3 \times \big\lceil \text{K} - 5 \big\rceil + 1 ) \times ( 1 - \text{Level 0}_\text{Rate %} ) \\ \text{Level 3}_\text{Rate %} &= 0 \end{align} }[/math]	[math]\displaystyle{ \begin{align} \text{Level 1}_\text{Rate %} &= \min ( 0 ; 100 - \text{Level 2}_\text{Rate %} - \text{Level 3}_\text{Rate %}) \\ \text{Level 2}_\text{Rate %} &= \min ( 30 ; 100 - \text{Level 3}_\text{Rate %} ) \\ \text{Level 3}_\text{Rate %} &= 3 \times \big\lceil \text{K} - 15 \big\rceil + 1 \end{align} }[/math]
With [math]\displaystyle{ \text{N}_\text{Generator} }[/math] the amount of Smoke Generators: Each base generator count as 1, Each Kai generator count as 2, A very high improvement level (~ ≥ 17) counts as 1. [math]\displaystyle{ \text{Luck}_\text{flag} }[/math] the flagship's luck, [math]\displaystyle{ \bigstar_\text{base} }[/math] the total improvement level of the base generators, [math]\displaystyle{ \bigstar_\text{Kai} }[/math] the total improvement level of the Kai generators,

• The smoke gives an Accuracy malus to both fleets when used:
  • Please note that these are initial estimations and are subject to change.
  • It is currently unknown if the airstrike accuracy is affected by the smoke.
  • Some modifiers are near impossible to determine because the fleet hit the lower bound hit rate (11% hard cap).
  • There are some inconsistencies between "old" and "new" enemies.
  • Having a (surface ?) radar equipped reduces the smoke effect for both fleets, but only for the shelling phase.
  • It has been observed that in some cases, the Yamato-class and Nagato-class (but not Nelson-class) Special Attacks may still have decent accuracy despite smoke being active. This may possibly be due to the attack's accuracy mod (which are currently unknown) overcoming the smoke's penalty mod.

Expand[math]\displaystyle{ \text{Mod}_\text{smoke} }[/math]
Day Shelling
Fleet	Radar Equipped	Type 1	Type 2	Type 3
Allied	No	< 0.3	< 0.33	< 0.37
	Yes	0.35	0.25	< 0.37
Enemy	No	< 0.69	< 0.7	< 0.7
	Yes	0.91	0.83	0.75
Torpedo Phases
Fleet		Type 1	Type 2	Type 3
Allied		0.45	0.42	0.42
Enemy		0.7	0.6	0.5
ASW
Allied		0.25
Enemy		1

• AA effects:
  • The smoke affects the allied shootdown but not the enemy shootdown.
  • No fixed shootdown above 2 has been observed under a smoke.
  • The guaranteed shootdown does not seem to be affected.
  • A modifier to the Adjusted AA is suspected but there is not enough data to confirm it.
• The Smoke reduce the Anti-Air Rocket Barrage trigger rate either directly or by reducing the Adjusted AA.

Notes

How To Obtain

Buildable

Stock equipment of: Miyuki Kai Ni

From quest: B189 (x3, choice)

Uses

Used by quest: F113 (x3)

Updates History

• 2023-04-23: Implemented
• 2023-05-04: Became improvable

Improvement

Type	Name	★	Resource							Day							2nd Ship	Note
										Sun	Mon	Tue	Wed	Thu	Fri	Sat
	Smoke Generator (Smoke Screen)	0	60	0	20	30	5/7	3/4	1x	X	Y	Y	X	X	X	X	Miyuki Kai Ni
		6					7/12	4/6	1x
		10					-	-	-

Improvement effects
	1★	2★	3★	4★	5★	6★	7★	8★	9★	Max★
	1.00	1.41	1.73	2.00	2.23	2.44	2.64	2.82	3.00	3.16
	1.00	1.41	1.73	2.00	2.23	2.44	2.64	2.82	3.00	3.16
Day?	1.00	1.41	1.73	2.00	2.23	2.44	2.64	2.82	3.00	3.16
Night?	1.30	1.84	2.25	2.60	2.91	3.18	3.44	3.68	3.90	4.11
Trigger rate	[math]\displaystyle{ \text{K} = +0.3 \times \bigstar }[/math]
Smoke level	Increased