Battery Sizing SS 01-2-400W Spring Motor

8/13/2019 Battery Sizing SS 01-2-400W Spring Motor

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Considerations:

Reference Documents Attachment

Ambient Conditions

1 Max design Temperature 40oC BEDD

2 Min design Temperature 10oC BEDD

Battery:

1 DC Voltage Nominal - V 110 BEDD

Max (+10%) 121 V Do

Min (-15%) 93.5V Do

2 Battery Type Ni-Cd 3481-8531-SP-0024

3 Charging time 8 Hrs Do

4 Battery back-up time 2 Hrs 3481-8532-70-0031

5 Cell Nominal voltage 1.2 V/cell SAFT Catalogue Annex 1

6 End Cell Voltage 1.10 V/cell SAFT Catalogue Annex 2

7 Number of Cells Nos 90 Calculated

8 Selected Battery size AH 600 Calculated

9 Nominal DC voltage Volts 110

10 Cable Voltage Drop 5V Assumed

Battery Charger:

1 Type FCB Charger 2x100% 3481-8531-SP-0024

2 AC Input Voltage 400V

3 Voltage variation

Normal 5%, Transient

+10% to -20% 3481-8531-SP-0001

4 Frequency 50Hz

5 Frequency variation Normal 2%, Transient 5% 3481-8531-SP-0001

6 Charging Method Constant Voltage 3481-8531-SP-0024

Relays Power consumption:1 HV Incomers & O/G feeders IPR 9W Relay type 7SJ62 Annex 4

2 HV Motor Feeders IPR 15W Relay type 7UM622 Annex 3

3 HV Bus tie IPR 11.6W Relay type 7SJ64 Annex 5

4 LV Incomers & Outgoing IPR / MCU 9W Relay type 7SJ62 Annex 4

5 LV Bus tie IPR 11.6W Relay type 7SJ64 Annex 5

6 LV Feeder control Unit FCU 9W Relay type 7SJ62 Annex 4

7 Trip Relay 86 150W MVAJH Annex 6

8 Trip Circuit supervision 74 8W MVAX Annex 7

9 Auxiliary Relay 3W MVAA Annex 8

Power consumptions

1 HV closing coil 250W ABB

2 HV tripping coil 125W ABB

3 HV spring charging Motor 400W ABB

4 LV closing coil 185W GE Power

5 LV tripping coil 185W GE Power

6 LV spring charging Motor 440W GE Power

7 LV contactor coils Considered to be AC operated.


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Sl Description

TotalOperating

breakers

TotalNumber

RatedPower

Ratedcurrent

NoofFeeders

Currentdrawn

inAmps

Nooffeeders

Currentdrawn

inAmps

Nooffeeders

Currentdrawn

inAmps

(W) (A)

Duration in minutes

1 HV (33 kV) Switchboard - 3 I/C & 2 B/T

SWB-01-2501A/B/C

a) Opening Coil (3 I/C and 2 B/T) 5 10 125.00 1.14 10 11.40

b) Closing Coil - I/C 5 5 250.00 2.27 5 11.35

c) Spring Charging Motor - HV CB 5 5 400.00 3.64 5 18.20

d) Relay (IPR) for the Incomers 3 3 9.00 0.08 3 0.24 3 0.24 3 0.24

e) Relay (IPR) for the Bus Tie 2 2 11.60 0.11 2 0.22 2 0.22 2 0.22

f) Lock out Relay (86) 5 5 150.00 1.36 5 6.80

g) Trip Circuit supervision Relay (96) 5 5 8.00 0.07 5 0.35 5 0.35 5 0.35

h) Auxiliary Relays (6 Nos per CB) 5 30 3.00 0.03 30 0.90 30 0.90 30 0.90

i) Indication Lamps etc (assumed LS 10W) 5 5 10.00 0.09 5 0.45 5 0.45 5 0.45

Outgoing Feeders (including spares)

j) Opening Coil - O/G 24 48 125.00 1.14 48 54.72

k) Closing Coil - O/G 24 24 250.00 2.27 24 54.48

l) Spring Charging Motor - HV CB O/G 24 24 400.00 3.64 24 87.36

m) Contactor Coil - HV 250.00 2.27

n) Relay (IPR) for the O/G Feeders - Tranformers 16 16 9.00 0.08 16 1.28 16 1.28 16 1.28

o) Relay (IPR) for the O/G Feeders - Motors HT 8 8 15.00 0.14 8 1.12 8 1.12 8 1.12

p) Lock out Relay (86) 24 24 150.00 1.36 24 32.64

q) Trip Circuit supervision Relay (96) 24 24 8.00 0.07 24 1.68 24 1.68 24 1.68

r) Auxiliary Relays (6 Nos per CB) 24 144 3.00 0.03 144 4.32 144 4.32 144 4.32

s) Indication Lamps etc (assumed LS 10W) 24 24 10.00 0.09 24 2.16 24 2.16 24 2.16

2 HV (33 kV) Switchboard - 3 I/C & 2 B/T

SWB-01-2502A/B/C


b) Closing Coil - I/C 5 5 250.00 2.27 5 11.35

c) Spring Charging Motor - HV CB 5 5 400.00 3.64 5 18.20



f) Lock out Relay (86) 5 5 150.00 1.36 5 6.80





j) Opening Coil - O/G 39 78 125.00 1.14 78 88.92

k) Closing Coil - O/G 39 39 250.00 2.27 39 88.53

l) Spring Charging Motor - HV CB O/G 39 39 400.00 3.64 39 141.96

m) Contactor Coil - HV 250.00 2.27

n) Relay (IPR) for the O/G Feeders - Tranformers 38 38 9.00 0.08 38 3.04 38 3.04 38 3.04

o) Relay (IPR) for the O/G Feeders - Motors HT 1 1 15.00 0.14 1 0.14 1 0.14 1 0.14

p) Lock out Relay (86) 39 39 150.00 1.36 39 53.04

q) Trip Circuit supervision Relay (96) 39 39 8.00 0.07 39 2.73 39 2.73 39 2.73

r) Auxiliary Relays (6 Nos per CB) 39 234 3.00 0.03 234 7.02 234 7.02 234 7.02

s) Indication Lamps etc (assumed LS 10W) 39 39 10.00 0.09 39 3.51 39 3.51 39 3.5

Period 1 (M1)

0th

min to 1st

min

Period 2 (M2)

2nd

min to 118th

min

Period 3 (M3)

119th

min to

120th

min

1min 118min 1min


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Sl Description

TotalOperating

breakers

TotalNumber

RatedPower

Ratedcurrent

NoofFeeders

Currentdrawn

inAmps

Nooffeeders

Currentdrawn

inAmps

Nooffeeders

Currentdrawn

inAmps

(W) (A)

Duration in minutes

Period 1 (M1)

0th

min to 1st

min

Period 2 (M2)

2nd

min to 118th

min

Period 3 (M3)

119th

min to

120th

min

1min 118min 1min

3 LV (400V) Switchboard - 2 I/C & 1 B/T

SWB-01-4501A/B


b) Closing Coil - LV I/C & B/C 3 3 185.00 1.68 3 5.04

c) Spring Charging Motor - LV Board 3 3 440.00 4.00 3 12.0



f) Lock out Relay (86) 3 3 150.00 1.36 3 4.08





j) Contactor Coil - LV O/G

k) MCU for the O/G Feeders - Motors 30 33 9.00 0.08 33 2.64 33 2.64 33 2.64

l) IPR for normal feeders - MCCB (F1) 2 3 9.00 0.08 3 0.24 3 0.24 3 0.24

m) FCU for normal feeders - MCCB (F2+F3+F4) 23 26 9.00 0.08 26 2.08 26 2.08 26 2.0

n) Lock out Relay (86) - for Motor Feeder 32 36 150.00 1.36 36 48.96

o) Indication Lamps etc (assumed LS 10W) 55 61 10.00 0.09 61 5.49 61 5.49 61 5.4

4 LV (400V) Switchboard - 2 I/C

ESWB-01-4501

a) Opening Coil (2 I/C ) 2 2 185.00 1.68 2 3.36

b) Closing Coil - LV 2I/C 2 2 185.00 1.68 2 3.3c) Spring Charging Motor - LV Board 2 2 440.00 4.00 2 8.0


e) Relay (IPR) for the Bus Tie 11.60 0.11

f) Lock out Relay (86) 2 2 150.00 1.36 2 2.72





j) Contactor Coil - LV O/G

k) MCU for the O/G Feeders - Motors 9.00 0.08

l) IPR for normal feeders - MCCB (F1) 9.00 0.08

m) FCU for normal feeders - MCCB (F2+F4) 7 8 9.00 0.08 8 0.64 8 0.64 8 0.64

n) Lock out Relay (86) - for Motor Feeder 150.00 1.36

o) Indication Lamps etc (assumed LS 10W) 7 8 10.00 0.09 8 0.72 8 0.72 8 0.7

TOTAL 375.14 45.26 505.0


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Calculation of Min number of Cells and Min Cell Voltage:

Max allowable system voltage

Number = ----------------------------------------------------------------

of Cells Cell voltage required for satisfactory charging

121= ------ = 83.44

1.45

= 90 Nos considered

Min Cell Min Battery voltage (Min system voltage + Voltage Drop)

Voltage = --------------------------------

Number of Cells

98.5

= ------- = 1.094

90

= 1.1 considered

Initial Cell sizing Calculation

Period Total Amp Duration Capacity

Removed

AH1 375.14 1 6.252

2 45.26 118 89.011

3 505.09 1 8.418

Total 103.681

Selected Initial Capacity (AH) 138 AH

Calculation for Ktfactor

Selected

Cell size

Discharge

Time (t)

Time t1

from data

Time t2

from data

(1) Amp

for time t1

(2) Amp

for time

t2

Factor

Kt1for

time t1

Factor Kt2

for time t2

Factor Kt

for time t

AH min min min Amps Amps

138 1 1 0 235 0 0.587 0.000 0.59

138 118 90 120 62.3 51.8 2.215 2.664 2.63

138 119 90 120 62.3 51.8 2.215 2.664 2.65

138 120 120 0 51.8 0 2.664 0.000 2.66

Capacity Rating factor Kt = Rated capacity in AH / Discharge current in Amps.

(Kt2-Kt1) x (t2-t)

Kt= Kt2- -----------------------

(t2-t1)


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Load Cycle

A1 A3

A 375.14

Amp

A2

45.26 505.09

Amp Amp

1 min 118 min 1 min

Duration

Sizing Calculation worksheet

(1) (2) (3) (4) (5) (6) (7) (8) (9)

Sl Period Load

(Amp)

Change in

Load

(Amp)

Duration

of period

(min)

Time to

end of

section

(min)

Capacity

rating

factor at t

min rate

(Kt)

Temp

derating

factor for t

min (Tt)

Required

section

size(3)x(6)x(7) =

Rated AH

1 Section 1 with first period only

First period (A1) (A1-0) (M1) (T=M1) (Kt) (Tt) Ktx Ttx

col 4

375.14 375.14 1 1 0.587 1 220.29

Subtotal 220.29

2 Section 2 with first 2 periods onlyFirst period (A1) (A1-0) (M1) (T=M1+M2) (Kt) (Tt) Ktx Ttx

col 4

375.14 375.14 1 119 2.649 1 993.79

Second

period

(A2) (A2-A1) (M2) (T=M2) (Kt) (Tt) Ktx Ttx

col 4

45.26 -329.88 118 118 2.634 1 -868.96

Subtotal 124.83

3 Section 3 with first 3 periods only

First period (A1) (A1-0) (M1) (T=M1+M2+M3)

(Kt) (Tt) Ktx Ttx

col 4

375.14 375.14 1 120 2.664 1 999.41

Secondperiod (A2) (A2-A1) (M2)(T=M2+M3)

(Kt) (Tt) Ktx Ttxcol 4

45.26 -329.88 118 119 2.649 1 -873.89

Third

period

(A3) (A3-A2) (M3) (T=M3) (Kt) (Tt) Ktx Ttx

col 4

505.09 459.83 1 1 0.587 1 270.03

Subtotal 395.55


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- Maximum section size (AH) 395.55

- Design Margin (10%) 1.1

- Ageing Factor (25%) 1.25

- Required Cell Rating (AH) (Max section size x DF x AF) 543.88

- Selected Cell Rating (AH) 600

Battery Charging Current:

Capacity of Battery 600 AH

Recharging time 8 H

Battery Charging Current (Ich) 75 A

DC UPS Output

DC UPS output Power (DCW) = [Load Current (standing Load) + Battery

Charging Current] x Vdc max

= [45.26 + 75]x121

= 14551.46 W

= 16006.61 W (Considering 10%

= 16.01 kW design margin)

Max DC UPS output = DCW / Vdcmin

current, Idcmax = 16006.606 / 93.5

= 171.19 A

SUMMARY

Battery Capacity = 600 AH

No of Cells = 90 Nos

Max DC output current Idc max = 171.19 A

DC UPS Output Power = 16.01 kW