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No.ofcells & ECV calculationBATTERY SIZING CALCULATION

REFERENCE STANDARD

Codes & Standards. IEEE Std. 485 IEEE Recommended Practice for Sizing Lead Acid Batteries for Stationary Applications.

PROJECT DATA

Voltage rating of the system = 110V (Nominal)

Voltage variation 110V System = + 10 % to - 10 %

System = Un-grounded

Fault Level of System = 10kA at DCDB Level

Ambient Temperature = 40 degree C Max, 5 degree C Min

Input Parameters considered as per standard design values of any reputed manufacturers

Type of battery=Valve Regulated Lead Acid (VRLA)

Nominal System Voltage=110V

Maximum System Voltage=110V + 10%

Minimum System Voltage=110V - 10%

Nominal Cell Voltage=2.00 V

End Cell Voltage (ECV)=1.85 V

Float Voltage=2.23 V

Boost Voltage=2.30 V

Minimum Site Ambient Temperature=5C

Temperature Correction Factor=1.198Temp correction factor = 1 + R[27 - t]100Ageing Factor (As per Standard)=1.25Where R = 0.9 for 10 hrs discharge as per table-2 of IS 1652t = Min Electrolyte temp = 8CAgeing Factor (15% design margin)=1.15 = 1 + 0.9[27 - 8]100DETERMINATION OF NUMBER OF CELLS PER BATTERY BANK & END CELL VOLTAGE/CELL = 1.2

Nominal cell voltage =2.00Volts/cell

Nominal battery voltage =110Volts

Cell Float voltage =2.23Volts/Cell, as per Manufacturer Std.

Allowable System voltage =110V, +10% to -10%=121Maximum = 99Minimum

Maximum no. of cells=Maximum System VoltageFloat Cell Voltage

= 1212.23

=54.2600897

=55

End of Discharge Cell Voltage=Minimum System VoltageNo of Cell

= 9954.2600896861

=1.825

Slected End Cell Voltage=1.85 V/cell

loadsGenerator Protection PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Generator protection Relay (GE SR489)145452Trip circuit supervision Relay (95)22.254.53Master Trip Relay (86)1444Indication Lamps102205Aux Contactor10220678910Total93.5

Generator PLC PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Unit Controller17507502Annunciator112123Facia56304Hooter1445Indication Lamps102206Aux Contactor1022078910Total836

Generator Excitation PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Annunciator112122Facia56303Hooter1444Unitrol140405Aux Relays142286Indication Lamps1227Aux Contactor4288910Total124

Generator Synchronisation PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Check synchronisation Relay (SKE 11)1222synchronisation Relay (VAA 11)1223Indication Lamps4284Aux Contactor102205Auto synchronisation Relay (SPMD10) (24VDC)110106Signal splitter modules4287Electronic cards2248910Total54

Generator Braking PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Indication Lamps4282Aux Contactor10220345678910Total28

NGT PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Indication Lamps4282Aux Contactor122345678910Total10

Turbine Governer PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Annunciator112122Facia56303Hooter1444Indication Lamps102205Aux Contactor1022060708910Total86

Transformer Protection PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Transformer protection Relay (GE SR745)140402Resticted earth fault protection Relay (64)125253HV over current relay (50/51)125254LV over current relay (50/51)125255Multi Function Meter125256Trip circuit supervision Relay (95)42.2597Master Trip Relay (86)2488Indication Lamps102209Aux Contactor1022010Total197

Transformer PLC PanelSl no.ItemQtyRating(W)TotalLoad (W)

1TFR Controller17507502Annunciator112123Facia56304Hooter1445Aux Relays102206Indication Lamps1022078910Total836

11kV Switchgear PanelsSl no.ItemQtyRating(W)TotalLoad (W)

111kV Switchgear Panels4261042345678910Total104

LTAC PanelSl no.ItemQtyRating(W)TotalLoad (W)

1Numerical Relays22.254.52345678910Total4.5

Switchgear OperationSl no.ItemQtyRating(W)TotalLoad (W)

1TFR Circuit Breaker trip coil (110kV)250010002Generator-1 Circuit Breaker trip coil (11kV)22004003Generator-2 Circuit Breaker trip coil (11kV)22004004TFR Circuit Breaker trip coil (11kV)22004005678910Total2200

Inverter System LoadsSl no.ItemQtyRating(W)Cos Sin Acitve Power (W)ReactivePower (VAR)ApparentPower (VA)

1Small lighting Distribution Boad15000.80.65003756252Communication Load12000.80.62001502503Unit -1 & Unit -2 condition Monitoring System116000.80.61600120020004Misc11000.80.6100751255678910Total240018003000

load calculationLoad Calculation of 110V DC distribution Board - Unit -I & Unit -IISl no.EquipmentQtyRated Load(W)Type of LoadOperation on ChargerOperation on BatteryFirst Period (0-1Min)Second Period (1-30Min)Third Period (30-120Min)Fourth Period (120-360Min)OperationalFactorLoad (A)OperationalFactorLoad (A)OperationalFactorLoadOperationalFactorLoadOperationalFactorLoad1Generator Protection Panel293.5C0.801.360.801.360.801.360.801.360.200.342Generator PLC Panel2836.0C0.8012.160.8012.160.8012.160.8012.160.203.043Generator Excitation Panel2124.0C0.801.800.801.800.801.800.801.800.200.454Generator Synchronisation Panel154.0C0.800.390.800.390.800.390.800.390.200.105Generator Breaking Panel128.0C0.800.200.800.200.800.200.800.200.200.056NGT Panel210.0C0.800.150.800.150.800.150.800.150.200.047Turbine Governer panel286.0C0.801.250.801.250.801.250.801.250.200.318Transformer Protection Panel1197.0C0.801.430.801.430.801.430.801.430.200.369Transformer PLC Panel1836.0C0.806.080.806.080.806.080.806.080.201.521011kV Switchgear Panels1104.0C0.800.760.800.760.800.760.800.760.200.1911LTAC Panel14.5C0.800.030.800.030.800.030.800.030.200.0112Switchgear Operation12200.0M0.255.000.8016.000.000.000.000.000.000.0013Inverter System Loads13000.0C0.8021.820.8021.820.8021.820.8021.820.205.4514Generator Bearing Lube oil system21500.0NC0.000.000.8021.820.8021.820.000.000.000.0015Generator Gear Box Lube oil system22200.0NC0.000.000.8032.000.8032.000.000.000.000.00

Total11273.052.44117.25101.2547.4411.86WhereCContinuous LoadNCNon - Continuous LoadMMomentary Load123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195

DUTY CYCLE GRAPHBattery Load Cycle DetailsLoad Duty Cycle of BatteryDuration0-1 Min1-30 Min30-120 Min120-360 MinCycleA1A2A3A4Load Current (A)117.25101.2547.4411.86

BATTERY CALCULATIONBattery Calculation

(1)Period(2) Load (Amperes)(3)Changes in load (Amperes)(4) Durationof period (Minutes)(5) Time to end of section (Minutes)(6)Capacity atT min rate(6A) amps/Pos (Rt)(or) (6B) K factor (Kt)(7)Required Section Size(3)/(6A) = Positive Plates(3)*(6B) = Rated Amp.HrsPos. valueNeg. valueSection1 - First period1A1= 117.25A1-0= 117.30M1=1.00T=M1=1.000.5058.65 Section 158.65Section2 - First two periods only1A1=117.25A1-0=117.30M1=1.00T=M1+M2=30.001.36159.53 2A2=101.25A2-A1=-16.00M2=29.00T=M2=29.001.34 -21.41Sub total159.53-21.41Section 2 Total138.20Section3 - First three periods only1A1=117.25A1-0=117.30M1=1.00T=M1+M2+M3=120.003.07360.11 2A2=101.25A2-A1=-16.00M2=29.00T=M2+M3=119.003.05 -48.803A3=47.44A3-A2=-53.90M3=90.00T=M3=90.002.48 -133.67Sub total360.11-182.47Section 3177.64Section4 - First four periods only1A1=117.25A1-0=117.30M1=1.00T=M1+M2+M3+M4=360.007.30856.29 2A2=101.25A2-A1=-16.00M2=29.00T=M2+M3+M4=359.007.29 -116.643A3=47.44A3-A2=-53.90M3=90.00T=M3+M4=330.006.82 -367.334A4=11.86A4-A3=-35.60M4=240.00T=M4=240.005.10 -181.56Sub total856.29-665.53Section 4Total190.76

Random equipment load only (if needed)RAR=20.0AR-0=20.0T=MR=1.0T=MR=1.00.5010.00

Battery Uncorrected size Required = max section size of section 1 to 4 + Random equipment load =200.8AH

Battery size Required = Uncorrected Size X Temp correction factor(1.198) X Aging factor (1.25) X Design Margin (15%) =345.7AH

SELECTED BATTERY SIZE (AH) = Manufacturer standard Rating Vailable =360.0AH

Battery Charger Sizing Calculation

SIZING OF BATTERY CHARGER (FLOAT & BOOST CHARGER)Float Charger Rating Charger Continuous Operative Load Current =52.44AFloat charging current of Battery = 2mA per AH=0.72AFloat charger current=53.16AWith 10% margin, required rating of Float Charger=58.472A

SELECTED FLOAT CHARGER RATING=60A

Float Cum Boost Charger RatingRequired Boost current rating = Min 12% of Battery AH Capacity=43.2ARequired Float Cum Boost current rating = Float Charger Rating+Boost Charger Rating =103.2A

SELECTED FLOAT CUM BOOST CHARGER RATING=110A

k reference

Time(Mins)K-Factors(2V VRLA)1.85 ECV1.75 ECV10.50.45291.341.24301.361.26902.482.31193.052.811203.072.822405.14.763306.826.263597.296.693607.36.7