Battle Institute

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Battle Institute

Access to:
Exit: Nimbasa City

The Battle Institute is a facility, accessible in Black, White, Black 2, and White 2 after defeating the Elite Four, where the goal is to defeat five Trainers in a row and get a high score. The player can choose to enter the challenge in either Singles, where they will pick three Pokémon, or Doubles, where they will pick four.

Battles conducted in the Institute are subject to restrictions.

Enemy Pokémon are always level 50. The player's Pokémon above or below level 50 will be set to level 50.
Set Mode is enforced.
Items cannot be used in battle.
The moves Return and Frustration, when used by the opponent, will always have their maximum power.
If the player loses the battle, the Battle Test challenge will still continue; the player will just not receive points for winning that battle.
Pokémon encountered in battles will not be added to the Pokédex.
Enemy Pokémon will always take their Nature, Item, moves, and EVs from predetermined 'sets'.
Enemy Pokémon that can have multiple Abilities will always have a random Ability, except for their Hidden Ability. Enemy Pokémon that can be male or female will have their gender randomly determined.
The player cannot enter two Pokémon of the same species or holding the same held item.
Any Pokémon holding a Soul Dew cannot enter.
Some Pokémon cannot be entered altogether, and will never be encountered on an opponent's team:

Mewtwo	Mew	Lugia	Ho-Oh	Kyogre	Celebi
Groudon	Rayquaza	Jirachi	Deoxys	Dialga	Palkia
Giratina	Phione	Manaphy	Darkrai	Shaymin	Arceus
Victini	Reshiram	Zekrom	Kyurem	Keldeo	Meloetta
Genesect	Eggs

The enemy Trainers and their Pokémon are pulled from the same lists that are used to determine opponents in the Battle Subway, located here for Pokémon and here for Trainers. Each Trainer faced during the challenge is limited to a specific range of Trainer numbers, and will have a specific IV value, shown in the table below.

Battle	Trainer Number	IV
1	51-70	7
2	111-160	19
3	161-180	23
4	241-270	31
5	271-300	31

Scoring

At the end of the five battles, the player will have a rank and a number of stars added to their Trainer Card (such that only the best result is saved to the Trainer Card). The ranks are as follows:

Points	Rank	Stars
0-999	Beginner	1
1,000-1,999	Novice	2
2,000-2,999	Normal	3
3,000-3,999	Super	4
4,000-4,999	Hyper	5
5,000-5,999	Elite	6
6,000-9,999	Master	7

The highest score the player can get is 9,999.

The scoring logic works as follows:

Action	Score
Player wins the battle	+1,000
Each opposing Pokémon that faints	+80 per Pokémon
Each move used by the player's Pokémon that hasn't already been used in the same battle	+15 per move
Each time the player switches Pokémon (without using Volt Switch, etc.)	+5 per switch
Each opponent's attack that the player's Pokémon is immune to based on their type or Levitate	+5 per attack
Each opponent's attack that is not very effective	+2 per attack
Each player's attack that is super-effective	+1 per attack
Each player's attack that is not very effective	-2 per attack
Each player's attack that the opponent's Pokémon is immune to based on their type or Levitate	-10 per attack
Every turn that passes	-10 per turn
The amount of missing HP that the player's Pokémon have at the end of the battle	The HP of all of the player's Pokémon is added up. Then, the percentage of HP missing is converted to points and subtracted. For example, if all Pokémon have a combined remaining HP of 70%, then 30 points will be subtracted.
Each of player's Pokémon that faints	-80 per Pokémon

Resources:

turskain's damage calculator, with the possible opposing movesets built in

Credits & sources

The Battle Subway records topic on Smogon, for the collected resources of many players including Pokémon movesets, Trainer information, and all the collective team-building knowledge.
Bulbapedia, for the Trainers used by this challenge, the item rewards, and scoring details.