High-voltage switchgear includes high-voltage incoming line cabinets, PT metering cabinets, surge arresters, bus tie cabinets, transformer cabinets, outgoing line cabinets, and capacitor compensation cabinets. Major components include: high-voltage circuit breakers (vacuum/SF6, etc.), voltage transformers, current transformers, surge arresters, isolating switches, capacitors, electricity meters, various protective relays, etc.
Low-voltage switchgear units have isolated functional compartments, categorized as functional unit compartments, busbar compartments, and cable compartments (GCS type low-voltage switchgear). Each compartment functions independently.
High-voltage switchgear generally consists of isolation cabinets, incoming line cabinets, metering cabinets, busbar equipment cabinets, and outgoing line cabinets. Isolation cabinets and incoming line cabinets are used to disconnect incoming power. Busbar equipment cabinets, also called PT cabinets or station transformer cabinets, provide operating power. Metering cabinets house electricity meters for billing, and outgoing line cabinets supply power to various transformers.
Currently, high-voltage power distribution projects generally don't use compensation cabinets; they use low-voltage compensation instead. Low-voltage cabinets include incoming line cabinets, outgoing line cabinets, and reactive power compensation cabinets. Outgoing line cabinets, which are the drawer cabinets you mentioned, come in GCK, GCS, and MNS types. Each drawer is an outgoing line unit, and one drawer typically supplies one outgoing line. To find out who each drawer supplies, check the label on the drawer; the label usually indicates the load name.
The functions of high and low voltage cabinets are generally fourfold: switching, metering, control, and distribution. I'm not sure what you mean by "battery cabinet." Generally, it should be a DC power supply panel with a battery bank, whose function is to convert the AC power provided by the transformer or low-voltage cabinet into DC operating power for the high-voltage cabinet.