1.5 CT dimensioning for Protection Relay ANSI Code 87BB/50BF: Appl.
Core 5
 General Project Data:
 Customer:                                      PGCB
 Project:                                       DESIGN,SUPPLY,INSTALLATION,TESTING AND
                                                COMMISSIONING OF 132/33KV SUBSTATIONS ON
                                                TURNKEY BASIS(PKG-2.1)
 Station:                                       Ghatail 132/33KV NEW AIS SUBSTATION
 Feeder:                                        RPCL-1/2(LINE BAY-01)
 General System and Substation Data:
 Nominal Voltage:                                                                           132kV
 Nominal Frequency:                                                                         50 Hz
 Power System Time Constant:                                                                47.511 ms
 Rated Short Circuit current of the station:                                                40 kA
According to IEC 60044-1 the rated secondary e.m.f. is given by the following equation:
                          𝐸𝑘 = 𝐴𝐿𝐹 × 𝐼𝑠𝑛 × (𝑅𝑛 + 𝑅𝑐𝑡 )
Where,
ALF accuracy limit factor (ALF = 20 for 5P20)
Isn = rated secondary current
                           𝑉𝐴
Rn = rated burden of C.T ( 𝐼2 )
                            𝑛
Rct = internal burden
                                       30
                 𝐸𝑘−2000 = 20 × 1 × ( 12 + 10)
                         = 800 𝑉
                                       15
                 𝐸𝑘−1000 = 20 × 1 × ( 12 + 5)
                         = 400 𝑉
                                                                                          1 | Page
Data of Line CT according to IEC-P Norm:
 <For CT Ratio 2000/1A>
 Accuracy Class:                           IEC 5P20
 Rated Burden:                             30 VA
 Rated Primary Current Ipn:                2000A
 Rated Secondary Current Isn:              1A
 Internal Burden RCT at 75oC:              10.0 Ω
 Rated Secondary e.m.f. Ek-2000:           800 V
 <For CT Ratio 1000/1A>
 Accuracy Class:                           IEC 5P20
 Rated Burden:                             15 VA
 Rated Primary Current Ipn:                1000A
 Rated Secondary Current Isn:              1A
 Internal Burden RCT at 75oC:              5.0 Ω
 Rated Secondary e.m.f. Ek-1000:           400 V
 Data of Relay:
ANSI Code:                                 87B/50BF
Manufacturer:                              ABB
Type:                                      REB 500
 Rated Relay Current Ir:                     1A
 Relay Burden, SR:                          0.25 VA
                                                   2 | Page
  Calculation of Cable Burden:
     Distance                                         Iwire        170             m
     Cable cross section                              αwire        4.0             mm2
     Special resistivity(Cu)                          ρwire        .02171          Ωmm2/m at 750C
     Effective wire length                            kwire        2
                  𝐼𝑤𝑖𝑟𝑒 𝑥 𝜌𝑤𝑖𝑟𝑒 𝑥 𝑘𝑤𝑖𝑟𝑒
         Rwire=           𝛼𝑤𝑖𝑟𝑒
     Calculated Cable Burden                           Rwire       1.845           Ω
     With 20% margin                                   RI          2.21442         Ω
CT requirements for REB 500:
CT requirements for differential protection:
The current transformers must have a effective accuracy limit factor n’ that is larger than the value of
equations below:
                                          1 × 𝐼𝑘𝑚𝑎𝑥
                                  𝑛′ ≥                         (𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑚𝑒𝑛𝑡 1)
                                           5 × 𝐼𝑝𝑛
n’ ≥ 10 for TN ≤ 120ms
n’ ≥ 20 for 120ms≤ TN ≤ 300ms
Where,
n’ = The effective accuracy limit factor =10 (TN = 47.511ms)
Ikmax = Maximum primary through fault current (KA)
Ipn = Rated primary CT current (A)
TN = Power system time constant
Calculation for differential protection:
 For ratio 2000/1
                                          1 × 𝐼𝑘𝑚𝑎𝑥
                                  𝑛′ ≥                         (𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑚𝑒𝑛𝑡 1)
                                           5 × 𝐼𝑝𝑛
                                          1 × 40000
                                  𝑛′ =
                                          5 × 2000
                                                                                                  3 | Page
 n’ = 4 (Selected n’ =10 which is greater than 4)
 So. In this case requirement 1 is fulfilled.
 For ratio 1000/1
                                     1 × 𝐼𝑘𝑚𝑎𝑥
                              𝑛′ ≥                        (𝑅𝑒𝑞𝑢𝑖𝑟𝑒𝑚𝑒𝑛𝑡 1)
                                      5 × 𝐼𝑝𝑛
                                     1 × 40000
                              𝑛′ =
                                     5 × 1000
 n’ = 8 (Selected n’ =10 which is greater than 8)
 So. In this case requirement 1 is fulfilled.
Where,
n’ = The effective accuracy limit factor =10 (TN = 47.511ms)
Ikmax = Maximum primary through fault current (KA) = 40KA
Ipn = Rated primary CT current (A)@ 2000/1A = 2000A
  = Rated primary CT current (A)@ 1000/1A = 1000A
TN = Power system time constant = 47.511ms
                       The Current Transformer is correctly dimensioned.
                                                                            4 | Page