Which category of OCPD is typically permitted to protect control circuits, luminaires, and appliances?

The correct choice is supplementary protection, which is typically utilized for protecting control circuits, luminaires, and appliances. Supplementary protectors are designed to provide additional protection beyond that offered by the branch-circuit protective devices, allowing for a more tailored approach to safety for specific circuits and equipment. They can be installed in addition to the main overcurrent protection devices and are intended to protect against overloads and faults that could occur within a specific set of equipment or a dedicated circuit.

These devices are often used in applications where enhanced protection is necessary due to the nature of the load or the circuit. For instance, control circuits may require precise protection to ensure their functionality and safety since they often control critical systems and processes.

In contrast, branch-circuit protection generally refers to the protection of the entire circuit feeding various devices, and while it's crucial, it does not offer the same level of specific protection that supplementary protection does. Equipment protection focuses more on safeguarding individual pieces of equipment rather than a complete circuit. Selective coordination of protection is aimed at ensuring that only the faulted part of a system is disconnected, leaving the rest operational, which is not specifically for control circuits or appliances.

Thus, supplementary protection fills the specific need for protecting control circuits, luminaires,