The difference between barred cell, reserved cell and restricted cell in LTE is given below.
Barred cell
Barred cell is a cell on which a UE is not allowed to camp on. A cell is barred if it is so indicated in the system information.
What is primary and secondary cell in LTE?
Reserved cell
Reserved cell is a cell on which camping is not allowed for all UEs, except for particular UEs, if so indicated in the system information.
Following exceptions to these definitions are applicable for UEs:
camped on a cell that belongs to a registration area that is forbidden for regional provision of service; a cell that belongs to a registration area that is forbidden for regional provision service ([5], [16]) is suitable but provides only limited service.
as an outcome of the manual CSG selection procedure the UE is allowed to access an acceptable cell which fulfils the cell selection criteria and is not barred or reserved for operator use for UEs not belonging to AC 11 or 15 and inform NAS that access is possible (for location registration procedure).
NOTE: UE is not required to support manual search and selection of PLMN or CSGs while in RRC CONNECTED state. The UE may use local release of RRC connection to perform manual search if it is not possible to perform the search while RRC connected.
if a UE has an ongoing emergency call, all acceptable cells of that PLMN are treated as suitable for the duration of the emergency call.
if the UE in RRC_IDLE fulfils the conditions to support ProSe direct communication in limited service state as specified in TS 23.303 [N, 4.5.6], the UE may perform ProSe direct communication.
See also What is acceptable cell and suitable cell in LTE?
Restricted Cell
Restricted cell is a cell on which camping is allowed, but access attempts are disallowed for UEs whose access classes are indicated as barred.