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PLANTA DE RESERVA FRÍA DE GENERACIÓN DE ETEN S.A
PROYECTO PROJECT
RESERVA FRÍA ETEN CONTRATISTA CONTRACTOR
TÍTULO TITLE
DC BATTERIES AND DISTRIBUTION BOARDS CALCULATION
Nº DE DOCUMENTO PROYECTO PROJECT DOCUMENT Nº
RFE-1-BTA-ECE-IDO-001
REV B EDITADO PARA ISSUED FOR
For Design FECHA DATE
15/01/2014
PRV
PRV
JSA
REALIZADO DONE BY
REVISADO CHECKED BY
APROBADO APPROVED BY
ESTE DOCUMENTO CONTIENE INFORMACIÓN PROPIETARIA Y NO PUEDE SER DUPLICADO, PROCESADO O CEDIDO A TERCEROS PARA UN USO DISTINTO AL DE ESTE PROYECTO Y EL OBJETO PARA EL QUE HA SIDO PREVISTO SIN LA AUTORIZACIÓN ESCRITA DE COBRA.
THIS DOCUMENT CONTAINS PROPIETARY INFORMATION AND CAN NOT BE DUPLICATED, PROCESSED OR DISCLOSED TO THIRD PARTIES FOR ANY USE OTHER THAN THIS PROJECT AND THE PURPOSE FOR WHICH IT IS INTENDED FOR WITHOUT THE WRITTEN CONSENT OF COBRA.
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 2 de/of 15
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La única copia controlada de este documento es la incluida en la intranet de Cobra.
This document contains proprietary information of Cobra and is subject to the restrictions set forth on the title page. The only controlled copy of the document is located on the Cobra intranet.
CONTROL DE MODIFICACIONES/CHANGE LOG
Revisión
Revision
Fecha
Date
Modificaciones
Modifications
A 13/12/2013
FIRST EDITION
B 15/01/2014 COBRA COMMENTS
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 3 de/of 15
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La única copia controlada de este documento es la incluida en la intranet de Cobra.
This document contains proprietary information of Cobra and is subject to the restrictions set forth on the title page. The only controlled copy of the document is located on the Cobra intranet.
ÍNDICE
1. OBJECT .............................................................................................................................. 4
2. REFERENCE DOCUMENTATION ...................................................................................... 5
3. GENERAL INFORMATION ................................................................................................. 6
3.1. SITE ........................................................................................................................... 6
3.1.1. Climate conditions .................................................................................... 6
4. APPLICABLE STANDARDS AND REGULATIONS ........................................................... 7
5. DC DISTRIBUTION SYSTEM DESIGN ............................................................................... 8
5.1. DC LOAD LIST ........................................................................................................... 8
5.2. CALCULATION OF NUMBER OF CELLS .................................................................. 8
5.3. BATTERY SIZING ...................................................................................................... 9
5.4. RECTIFIER SIZING .................................................................................................. 11
5.5. SHORT CIRCUIT CURRENT IN DC DISTRIBUTION BOARD ................................. 12
6. CONCLUSIONS ................................................................................................................ 14
7. ANNEXES ......................................................................................................................... 15
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 4 de/of 15
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1. OBJECT
The purpose of the present document is to size the battery capacity and power rectifier changer
of DC Distribution Boards to supply to the ETÉN Power Generation Plant projected in Peru, with
an approximate net power of 230 MW.
The sizing of the Control Room UPS is also determined in Annex 2. There will be no DC power
consumption in the Control Room, so that the size of the battery shall be defined by the
manufacturer of the UPS system according to the size of the UPS itself.
This revision B is a preliminary calculation. Later on, the DC System supplier would develop a
more precise calculation with the actual battery cell data and the final load lists.
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 5 de/of 15
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2. REFERENCE DOCUMENTATION
The following documentation shall be used as a reference in this document:
Specific reference documents:
RFE-1-BTA-EIP-IDO-001 : “DC System Specification”
Generic reference documents:
The documents quoted in the above references.
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 6 de/of 15
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3. GENERAL INFORMATION
3.1. SITE
The plant shall be located a few kilometres from the municipal district of Reque in the province of
Chiclayo in the department of Lambayeque – Peru.
3.1.1. Climate conditions
The following climate conditions are adopted for the design:
Mean temperature ............................................................................................ 21.7 ºC
Ambient temperature range .............................................................. 14.6 ºC – 33.9 ºC
Relative humidity ............................................................................................... 73.2 %
Relative humidity range ...................................................................... 64.9 % - 81.0 %
Atmospheric pressure .............................................................................. 1013.9 mbar
Elevation ................................................................................................... +77.5 m asl
Location ..................................................................... Near to the sea (approx. 10 Km)
Maximum wind speed ..................................................................................... 95 km/h
Prevailing wind direction ................................................................... 179.3º from SSE
Average annual rainfall ................................................................................. 77.5 mm
Average monthly rainfall with “El Niño” phenomenon ..................................... 173 mm
Desert environment: Dirty Ambient .................................................................. 50µg/m3
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 7 de/of 15
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This document contains proprietary information of Cobra and is subject to the restrictions set forth on the title page. The only controlled copy of the document is located on the Cobra intranet.
4. APPLICABLE STANDARDS AND REGULATIONS
The battery capacity shall be calculated in accordance with the following codes and standards:
IEEE Std 485: Recommended Practice for Sizing Lead-Acid Batteries for Stationary
Applications.
IEEE Std 1184: Guide for Batteries for Uninterruptible Power Supply Systems
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 8 de/of 15
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5. DC DISTRIBUTION SYSTEM DESIGN
5.1. DC LOAD LIST
The individual DC loads supplied by the battery during the duty cycle may be classified as
continuous or non-continuous.
Annex 1 of this document includes a table with a DC load list of the plant.
5.2. CALCULATION OF NUMBER OF CELLS
From IEEE std 1184 typical voltages of the lead batteries are:
Open Circuit (UN): ........................................................................................... 2,1 V/Cell
Float (UFLOAT) ...................................................................................... 2.15 to 2.4 V/Cell
Equalizing (UEQUAL) ............................................................................... 2.3 to 2.5 V/Cell
Cut Off (UC-O) .................................................................................... 1.67 to 2.10 V/Cell
The detailed calculation have to take the actual selected batteries data.
In the other hand, the limits for the DC system are:
Nominal (VN) ......................................................................................................... 125 V
Maximum (VMAX) ............................................................................... 125 +10% = 137 V
Minimum (VMIN) ............................................................................... 125 -15% = 106.3 V
Maximum voltage drop (ΔVDC) .......................................................... 5% 125 V = 6.25 V
Therefore the number of battery cells (NE) will be set from the following relationships, taking into
account the actual battery voltages:
a) Considering equalization voltage as the maximum system voltage
cellsV
V
V
VN
EQUAL
MAXE 57
4.2
137
b) Considering the battery Cut-Of voltage as the minimum system voltage
cellsV
VVN
OC
DCMINE 60
85.1
25.63.106
Or the end-of-discharge voltage, with a known number of cells is
VN
VVU
E
DCMINOC 975.1
57
25.63.106
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 9 de/of 15
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The higher end of discharge voltage, the higher nominal battery capacity will be needed.
c) If the battery and charger are isolated from the loads during equalizing, the float voltage
shall be considered as the maximum battery voltage
cellsV
V
V
VN
FLOAT
MAXE 60
27.2
137
5.3. BATTERY SIZING
To determine the battery capacity, the duty cycle diagram of the batteries is used. The resultant
current in each operation mode is determined in annex 1.
The UPS loads are essentially static loads that maintain their power basically constant through
the whole discharge time.
For the DC loads it is assumed three peak consumptions due to the actuators (breakers,
contactors, and so).
The final result is as follows:
Time (min)
Duration of period
(minutes)
Total Load at 125 VDC
(A)
0 to 1 M1= 1 A1 = 540
1 to 14 M2= 13 A2= 450
14 to 15 M3 = 1 A3= 530
15 to 29 M4 = 14 A4= 450
29 to 30 M5 = 1 A5 = 530
And the duty cycle diagram is as follows.
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 10 de/of 15
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Based on the duty cycle diagram, the battery capacity will be determined, using the standard
chart and the specific cell data.
The following is an example with a hypothetical cell battery with its own Kt factors.
Period Load Change in Load Duration of
Period Time to End of Section
Capacity at T Min Rate
Required Section Size
(Amp * Hrs)
(A) (A) (minutes) (minutes) Factor (Kt) Pos
Value Neg
Values
Section 1 - First Period Only - If A2 is greater than A1, go to Section 2
1 A1 = 540 A1-0 = +540 M1 = 1 T = M1 1 1.1 594
Sub. Total 594
Section 2 - First Two Period Only - If A3 is greater than A2, go to Section 3
1 A1 = A1-0 = 0,00 M1 = T = M1+M2 0
2 A2 = A2-A1 = 0,00 M2 = T = M2 0
Sub. Total 0,00
Section 3 - First Three Period Only - If A4 is greater than A3, go to Section 4
1 A1 = 540 A1-0 = +540 M1 = 1 T = M1+M2+M3 15 1.5 810
2 A2 = 450 A2-A1 = -90 M2 = 13 T = M2+M3 14 1.5 -135
3 A3 = 530 A3-A2 = +80 M3 = 1 T = M3 1 1.1 88
Sub. Total 898 -135
Total 763
Section 4 - First Four Period Only - If A5 is greater than A4, go to Section 5
1 A1 = A1-0 = 0,00 M1 = T = M1+M2+…+M4 0
2 A2 = A2-A1 = 0,00 M2 = T = M2+M3+M4 0
3 A3 = A3-A2 = 0,00 M3 = T = M3+M4 0
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 11 de/of 15
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Period Load Change in Load Duration of
Period Time to End of Section
Capacity at T Min Rate
Required Section Size
(Amp * Hrs)
(A) (A) (minutes) (minutes) Factor (Kt) Pos
Value Neg
Values
4 A4 = A4-A3 = 0,00 M4 = T = M4 0
Sub. Total 0,00
Total 0,00
Section 5 - First Four Period Only - If A6 is greater than A5, go to Section 5
1 A1 = 540 A1-0 = +540 M1 = 1 T = M1+…+M5 30 1.75 945
2 A2 = 450 A2-A1 = -90 M2 = 13 T = M2+…+M5 29 1.75 -157.5
3 A3 = 530 A3-A2 = +80 M3 = 1 T = M3+M4+M5 16 1.5 120
4 A4 = 450 A4-A3 = -80 M4 = 14 T = M4+M5 15 1.5 -125
5 A5 = 530 A5-A4 = +80 M5 = 1 T = M5 1 1.1 88
Sub. Total 1153 -282.5
Total 870.5
The maximum section size, therefore, is 870.5 Ah
Once the battery capacity in Ah (Ampere by hour) is evaluated, the following correction factors
shall be applied:
Aging factor: A factor of 1,25 will be considered as aging factor, so that the load at the end of its useful life of the battery will be the expected load.
Design margin: A factor of 1,10 will be expected as reserve for a future expansion.
Temperature correction factor: The standard temperature for rating cell capacity is 25ºC. If the electrolyte has a different temperature, a temperature correction factor will be applied.
110,125,1)( AhAhC
AhAhC 1197110,125,15.870)(
To comply with the above criteria, the battery capacity required of each battery group will be
1197 Ah. The commercial battery capacity next larger than that is 1200 Ah.
5.4. RECTIFIER SIZING
The output rated power of the battery charger rectifier is determined taking into account that the
battery charger rectifier will supply the total rated power required for the direct current of the
plant.
The sizing of the rated power of the battery charger rectifier will be set so that in case of
unavailability of one of the rectifiers, the other equipment is able to supply the total power
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 12 de/of 15
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demanded by the direct current services of the plant, and recharge the group of batteries in
maximum twelve (12) hours.
The rectifier size is determined as per IEEE Std 946 chapter 6.2.
To determine the output current of the battery charger rectifier, the efficiency of the batteries as a
result of internal losses should be taken into account. In addition, a minimum design margin of
20% should be considered for a future expansion.
2
1
1
1)(1,1
kkI
T
AhCcarIrec LC
AAh
AhcarIrec 65011540
12
12001.1
where:
Irec-char: Battery charger capacity (A).
C (Ah): Battery capacity required during the duty cycle (Ah).
T: Recharging time (h) to approximately 95% of capacity.
k1: Correction factor for temperature different from (25 ºC).
k2: Correction factor for altitude higher than 1.000 m.
ILC: Continuous load current supplied by the rectifier-charger (A).
1.1: is the constant that compensates for the battery losses.
To comply with the above criteria, the output power of each rectifier-battery charger will be
approximately of 100 kVA.
5.5. SHORT CIRCUIT CURRENT IN DC DISTRIBUTION BOARD
According to IEEE 946-1992, the short circuit current is the sum of the contribution of the battery,
battery charger rectifier contribution, and the contribution of the motors. Therefore, the short
circuit current DC Distribution Board will be:
MOTCARBATDCSC IIII
where:
ISC-DC: Short circuit current in the DC Distribution Board (A).
IBAT: Short circuit current contributed by the battery (A).
ICAR: Short circuit current contributed by the charger (A).
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 13 de/of 15
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IMOT: Short circuit current contributed by the DC Motors (A).
To determine the short circuit current of the DC Distribution Board will be considered an
oversizing factor of 115%.
CALCULATION DC BATTERIES AND BOARDS Rev B
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6. CONCLUSIONS
Based on the above results, the technical data of the DC Distribution Boards are as follows:
Input rated voltage: ............................................................................................ 480 V
Output rated voltage: ................................................................................... 125 V DC
Minimum battery voltage: ......................................................................... 112.5 V DC
Battery capacity: ............................................................................................ 1200 Ah
Recharging time: .................................................................. 12 Hours (95% charged)
Output rated power of rectifier-battery charger: ............................................ 100 kVA
CALCULATION DC BATTERIES AND BOARDS Rev B
RFE-1-BTA-ECE-IDO-001 Pág/Page 15 de/of 15
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7. ANNEXES
Annex 1: Plant DC and UPS Load List
Annex 2: Control Room UPS Load List
CALCULATION DC BATTERIES AND BOARDS
Rev. B
ANNEX 1
RFE-1-BTA-ECE-IDO-001 Page 1 of 2
ANNEX 1:
PLANT DC AND UPS LOAD LIST
CALCULATION DC BATTERIES AND BOARDS
Rev. B
ANNEX 1
RFE-1-BTA-ECE-IDO-001 Page 2 of 2
KK
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018,0
012,0
018,0
012,0
018,0
0
PEN
DIE
NTE
MA
ND
O -
INTER
RU
PTO
R
GEN
ER
AD
OR
125
1,0
01,0
08,0
08,0
012,0
08,0
08,0
08,0
08,0
0
PEN
DIE
NTE
MA
ND
O -
CC
M 1
BM
A52
125
3,0
03,0
024,0
024,0
036,0
024,0
036,0
024,0
036,0
0
PEN
DIE
NTE
MA
ND
O -
CA
BIN
A 1
BFA
51/5
3125
1,5
01,5
012,0
012,0
018,0
012,0
018,0
012,0
018,0
0
PEN
DIE
NTE
MA
ND
O C
AB
INA
1B
MA
52
125
1,5
01,5
012,0
012,0
018,0
012,0
018,0
012,0
018,0
0
PEN
DIE
NTE
MA
ND
O -
CA
BIN
A 1
BB
A51
(MED
IA T
EN
SIÓ
N)
125
1,5
01,5
012,0
012,0
018,0
012,0
018,0
012,0
018,0
0
TO
TA
L D
C L
OA
DS
18,4
0
TO
TA
L D
C L
OA
DS
+ G
EN
ER
AL
UP
S +
20%
SP
AR
E46,9
6537,1
8450,7
8532,3
8450,7
8532,3
8
CALCULATION DC BATTERIES AND BOARDS
Rev. B
ANNEX 2
RFE-1-BTA-ECE-IDO-001 Page 1 of 2
ANNEX 2:
CONTROL ROOM UPS LOAD LIST
CALCULATION DC BATTERIES AND BOARDS
Rev. B
ANNEX 2
RFE-1-BTA-ECE-IDO-001 Page 2 of 2
KKS DESCRIPTION VOLTAGE POT. (kW) POT. (kVA)
CONTROL ROOM UPS
PENDIENTECENTRALITA
CONTRAINCENDIOS220 0,50 0,59 2,67
PENDIENTE SISTEMA MEGAFONIA 220 1,50 1,76 8,02
PENDIENTE RACK TELECOMUNICACIONES 220 1,50 1,76 8,02
PENDIENTE SISTEMA CCTV 220 1,50 1,76 8,02
PENDIENTE ESTACIÓN DE OPERACIÓN 220 0,70 0,82 3,74
PENDIENTEESTACIÓN OPERACIÓN DE LA
TURBINA GAS127 0,50 0,59 4,63
PENDIENTEESTACIÓN DE OPERACIÓN
CEMS220 0,50 0,59 2,67
PENDIENTEESTACIÓN DE OPERACIÓN
GENERADOR AUXILIAR220 0,50 0,59 2,67
PENDIENTEESTACIÓN DE INGENIERÍA,
HISTÓRICOS Y ALARMAS220 0,50 0,59 2,67
PENDIENTE SERVIDOR DE HISTÓRICOS 220 0,50 0,59 2,67
PENDIENTESISTEMA SINCRONIZACIÓN
HORARIA (GPS)220 0,30 0,35 1,60
PENDIENTE IMPRESORA B/N OPERACIÓN 220 1,20 1,41 6,42
PENDIENTEIMPRESORA B/N REGISTRO
ALARMAS220 0,20 0,24 1,07
PENDIENTESWITCHES DE LA TURBINA
GAS127 0,60 0,71 5,56
TOTAL UPS LOADS 10,50 12,35
UPS OUTPUT DESIGN POWER (kVA) WITH 20% SPARE, AND PF =80% 15,75