The CE/UKCA (CE) considerations are the same for Low Voltage Directive (LVD) / Electrical Equipment Safety Regulations (EESR) as they are for the Machinery Directive (MD) / Supply of Machinery Safety Regulations.
It seemed you were looking for a notified body, which was what sent me down the MD Annexe IV route.
Everything under the LVD is self-certification, generally by compliance with the relevant product standard.
One key difference is that the Technical File (TF) must be complete and available to the authorities before the product is placed on the market. Ergo it can be produced immediately upon request. The MD only requires that it is provided in a reasonable time from request.
Is the equipment MD or LVD?
The MD requires everything that the LVD does, and thus it is ONLY the MD that should be quoted on the declaration.
Who is the importer, as in who is placing the equipment on the market in the EU/UK?
It is the person who is placing the equipment (putting into use) who is responsible for the TF & CE marking
Tell us a little more about the equipment.
There is no scope under the LVD for a notified body to certify general electrical product, it is all voluntary an the Declaration of Conformity (DoC) is down to the OEM, they are responcsible no matter who they engage to support them, unless the support organisation is proven negligent. That would be down to the court.
The LVD is all self-certifiation.
As I say above, more info please.