battery & battery charger calculation reva

8/9/2019 Battery & Battery Charger Calculation RevA

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6*27MW REYG AS TURBINE POWER PLANT

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For Approval ■

For Review

For Construction

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For Use

DistributedExecutiveDeputy

Commercial/

Subcontracting

Client

Consultant ■

Commissioning

QC Dept.

Planning Dept.

Sub-Contractor

Eng. Manager

Civil

Electrical

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Document Name:Battery & Battery Charger Calculation

A 10 Jun. 09 Second Issue Z. Fakhri M. Khanmohammadi A. Shahintabe

0 3 Feb. 09 First Issue Z. Fakhri M. Khanmohammadi A. Shahintabe

Rev. Date Description Prepared Checked Approved

Sub-Contractor: Sub-ContractorDocument No.

Document No. SizeTotalPage

No. of Attachment

REY-MS-59ED-08-EFG-001Rev.A

A4 27 1



Document Name: Battery and Charger Calculation of 27 Document NO. : REY-MS-59ED-08-EFG-001 Rev.A

6*27MW REY

G AS TURBINE POWER PLANT

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TABULATION OF REVISED PAGES




6*27MW REY


1. BPurpose

The purpose of this document is sizing of nickel-cadmium batteries with standardized technique for

stationary application.

2. B

Reference

The procedure of sizing nickel-cadmium batteries is based on the following standard:

IEEE Std 1115-2000, “IEEE Recommended Practice for Sizing Nickel-Cadmium Batteries for

Stationary Applications”

IEC 60623, fourth edition 2001, “Secondary cells and batteries containing alkaline or other noon-acid

electrolytes- vented nickel-cadmium prismatic rechargeable single cells”

3. BDefinitions

Available capacity: The capacity for a given discharge time and end-of-discharge voltage that can

be withdrawn from a cell under the specific conditions of operation.

Battery duty cycle: the loads a battery is expected to supply for a specified time periods.

Full float (constant potential) operation: Operation of a dc system with the battery, battery charger,

and load all connected in parallel and with the battery charger supplying the normal dc load plus any

self-discharge or charging current required by the battery. (The battery will deliver current only when

the load exceeds the charger output.)

Period: An interval of time in the battery duty cycle during which the load is assumed to be constant

for purposes of cell sizing calculations.

Rated capacity (nickel-cadmium cell): The capacity assigned to a nickel cadmium cell by its

manufacture for a specific constant current discharge voltage.

4. BGeneral considerations

The battery must supply the dc power requirement when the following conditions occur:

a) The load on the dc system exceeds the maximum output of the battery charger.

b) The output of the battery charger is interrupted.

c) The ac power is lost.

The most severe of these conditions, in terms of battery load and duration, should be used to

determine the battery sizing for the installation.




6*27MW REY


5. BDetermining battery size

I. BNumber of cells

When the battery is allowed to exceed a given maximum system voltage, the number of cells will be

limited by the manufacture’s recommended cell voltage required for satisfactory charging. That is,

The minimum battery voltage equals the minimum system voltage plus any voltage drop between the

battery terminals and the load. The minimum battery voltage is then used to calculate the allowable

minimum cell voltage,

The DC system voltage limits are from 112.5 V to 137.5 V (125VDC±10%) and the manufacturer

recommends a cell voltage of 1.40 V for satisfactory charging, so:

Required Number of Cells = 137.5 V / 1.40 V per cell = 98.2, therefore 98 cells;

End-of-charging voltage = 112.5 V / 98 V = 1.14 V per cell

II. B

Additional considerations:

Temperature derating factor (Tt): The available capacity of a cell is affected by operating

temperature. The standard temperature for stating cell capacity is 25℃. If the lowest expected

electrolyte temperature is above 25℃, generally no noticeable increase in the available capacity.

Design Margin: Since the loads of this practice are not exposed to grow, there is no need to provide

such growth rate to the cell size calculation. Therefore, design margin of 1 is used.

Aging Factor: Capacity decreases gradually during the life of the battery, with no sudden capacity

loss being encountered under normal operating conditions. Since the rate of capacity is dependentupon such factors as operating temperature, electrolyte-specific gravity, and depth of frequency of

discharge, an aging factor should be chosen. The choice of aging factor is, therefore essentially an

economic consideration. In this practice an aging factor of 1.2 is used, meaning that the battery is

sized to carry the loads until its capacity has decreased approximately to 80% of its rated capacity.




6*27MW REY


6. B

Duty cycle diagram

A duty cycle diagram showing total load at any time during the cycle is an aid in the analysis of the

duty cycle. Loads that have inception and shut down times that are known are plotted on the duty

cycle diagram as they would occur.

Table 1: DC Load List that shall be supplied by Batteries

N

o. Name

Quantity Rating Load Capacity (A)

Remarks

T o t a l Q ’ t y

N o

r . O p e . Q

’ t y

C

a p a c i t y

U n i t

C o

n t i n u o u s

I

n r u s h /

S

t a r t i n g

I

n r u s h /

S

t a r t i n g

T i

m e ( s e c )

1Emergency Lube Oil

Pump1 1 5.5 kW 43.6 132.5 10

2Hydraulic Ratchet

Pump1 1 0.75 kW 5.7 25.5 3

3 Generator Breaker 1 1 2.0 A 2.0 6.0 10.0

4

Emergency Lighting

for ACC.

Compartment

1 1 0.8 A 0.8 - -

5

Emergency Lighting

for Control

Compartment

1 1 0.8 A 0.8 - -

6Turbine Control

Panel1 1 8.0 A 8.0 - -

7Generator Protection

Panel1 1 4.0 A 4.0 - -

8 AVR cubicle 1 1 4.0 A 4.0 - -




6*27MW REY


B

The Duty Cycle Diagram indicated by this DC load list is:

Fig.1 Duty Cycle Diagram

Time(min)

S123

S122

S3S2

S1

P123P3P2P1

120

3 sec

180 sec

180 sec

10 sec

156.1A

Ratchet Start

Rotor Stop

Black out after Trip

0 2017

COOL DOWNSHUT DOWNLoad (A)

≈

≈

19.6

200 sec

20 sec

10 sec

177.6A

68.9A

157.8A

63.2




6*27MW REY


7. B

Cell Sizing Data

The following table summarizes the Cell Sizing Data for the given Duty Cycle Diagram.

Table 2: Cell Sizing Data

PeriodTotal

amperes

Duration Capacity Removed

(Ah)Remarks

Sec. Min.

1 156.1 10 0.1667 0.43361111

2 63.2 1010 16.83 17.7311111

3 19.6 180 3 0.98 *31 times

4 177.6 3 0.05 0.148 *30 times

5 157.8 7 0.116 0.30683333 *30 times

6 68.9 10 0.1667 0.19138889 *30 times

The periods remarked by * are repeated as per defined.

Total = 67.93 Ah

At the first step KPL70 selected to supply DC loads specified in Table1.

Table 3: Discharge Currents for KPL cell range manufactured by Interberg CompanyNICKEL-CADMIUM BATTERIES, DISCHARGE TABLESinterberg batteries

FINAL DISCHARGE VOLTAGE : 1,14 VOLTS / CELL

CELL TYPES

DISCHARGE TIME

10

h

8

h

5

h

3

h

2

h

90

min

60

min

45

min

30

min

20

min

15

min

10

min

5

min

60

sec

30

sec

5

sec

1

sec

KPL70 7.35 9.19 14.09 19.5 23 27 32.2 34.9 40.2 43.5 45 47.5 53.8 63.8 73 76.4 78.4

KPL80 8.40 10.50 16.10 22.3 26.3 30.9 36.8 39.9 45.9 49.7 51.4 54.3 61.5 72.9 83.4 87.3 89.6

KPL90 9.27 11.97 18.09 25.0 29.6 34.8 41.5 44.8 51.6 56.0 57.8 61.1 63.8 81.9 94.5 98.1 101

KPL100 10.30 13.30 20.10 27.8 32.9 38.7 46.1 49.8 57.3 62.2 64.2 67.9 70.9 91.0 105 109 112

KPL115 12.24 15.18 23.09 32.0 37.9 44.4 53.0 57.2 65.9 71.6 73.7 78.1 88.5 103 113 120 129

KPL135 14.67 17.91 27.09 37.5 44.5 43.1 62.1 67.2 77.3 84.0 86.5 90.9 104 124 142 147 151

KPL15016.30 19.90 30.10 41.7 49.4 47.9 69.0 74.7 85.9 93.3 96.1 101 115 138 158 163 168

KPL180 19.17 23.76 36.00 50.0 59.2 69.4 82.7 89.6 103 112 114 122 138 165 190 196 202

KPL200 21.30 26.40 40.00 55.6 65.8 77.1 91.9 99.5 114 124 127 135 153 183 211 218 224

KPL250 26.40 33.00 44.90 69.5 82.3 96.2 114 123 142 155 159 169 192 229 263 272 280

KPL280 29.40 36.87 55.91 77.7 92.1 107 128 138 160 174 178 189 215 258 289 305 308

KPL300 31.50 39.50 59.90 83.3 98.7 115 137 148 171 186 191 203 230 276 310 327 330

KPL330 34.7 43.37 65.91 91.6 108 126 151 163 189 205 210 223 254 303 347 359 370

KPL350 36.80 46.00 69.90 97.1 115 134 160 173 200 217 223 237 269 321 368 381 392

KPL400 42.10 52.50 79.70 110 131 153 183 198 228 248 255 271 307 366 419 436 448

KPL430 45.15 56.50 85.66 119 141 165 197 212 245 267 274 292 330 393 449 469 482

KPL450 47.25 59.13 89.64 124 148 173 206 222 257 279 287 305 346 411 470 491 504

KPL500 52.50 65.70 99.60 138 164 192 229 247 285 310 319 339 384 457 522 545 560

KPL600 62.50 78.70 119 165 197 230 275 297 342 372 383 407 461 549 627 654 672

KPL700 73.40 91.70 138 193 230 268 320 346 400 434 447 475 538 637 731 763 784

KPL800 83.90 104 158 221 263 307 366 396 457 496 511 543 615 729 845 873 896

KPL900 94.3 117 178 248 296 345 412 445 514 558 575 611 692 820 940 982 1008

KPL1000 105 130 198 276 329 383 458 495 571 621 639 679 769 911 1043 1091 1120




6*27MW REY


8. Capacity Rating Factors ( K t)

The capacity rating factor, K t , is the ratio of rated ampere-hour capacity (at a standard time rate,

25℃, and to standard end-of-discharge voltage) of a cell, to the amperes that can be supplied by that

cell for t minutes at 25℃ and to a given end-of-discharge voltage.

The factor K t for time t is calculated in the following table by interpolation using the formula:

Table 4: Calculation of the Capacity Rating Factors (K t ) for KPL70 cell type:

t(min) t 1(min) t 2(min) Ampere

t1

Ampere

t2Kt1 Kt2 Kt

0.05 0.016667 0.083 78.4 76.4 0.893 0.916 0.905

0.1167 0.083333 0.500 76.4 73 0.916 0.959 0.920

0.1667 0.083333 0.500 76.4 73 0.916 0.959 0.925

0.2833 0.083 0.5 76.4 73 0.916 0.959 0.937

0.3333 0.083 0.5 76.4 73 0.916 0.959 0.942

3 1 5 63.8 53.8 1.097 1.301 1.199

3.05 1 5 63.8 53.8 1.097 1.301 1.202

3.1667 1 5 63.8 53.8 1.097 1.301 1.208

3.2167 1 5 63.8 53.8 1.097 1.301 1.210

3.2833 1 5 63.8 53.8 1.097 1.301 1.214

3.3333 1 5 63.8 53.8 1.097 1.301 1.216

3.3833 1 5 63.8 53.8 1.097 1.301 1.219

3.45 1 5 63.8 53.8 1.097 1.301 1.222

3.5 1 5 63.8 53.8 1.097 1.301 1.225

3.6167 1 5 63.8 53.8 1.097 1.301 1.231

3.6667 1 5 63.8 53.8 1.097 1.301 1.233

6.3333 5 10 53.8 47.5 1.301 1.474 1.347

6.3833 5 10 53.8 47.5 1.301 1.474 1.349

6.5 5 10 53.8 47.5 1.301 1.474 1.353

6.55 5 10 53.8 47.5 1.301 1.474 1.355

6.6167 5 10 53.8 47.5 1.301 1.474 1.3576.6667 5 10 53.8 47.5 1.301 1.474 1.359




6*27MW REY


6.7167 5 10 53.8 47.5 1.301 1.474 1.360

6.7833 5 10 53.8 47.5 1.301 1.474 1.363

6.8333 5 10 53.8 47.5 1.301 1.474 1.364

6.95 5 10 53.8 47.5 1.301 1.474 1.368

7 5 10 53.8 47.5 1.301 1.474 1.370

9.6667 5 10 53.8 47.5 1.301 1.474 1.462

9.7167 5 10 53.8 47.5 1.301 1.474 1.464

9.8333 5 10 53.8 47.5 1.301 1.474 1.468

9.8833 5 10 53.8 47.5 1.301 1.474 1.470

9.95 5 10 53.8 47.5 1.301 1.474 1.472

10 10 - 47.5 - 1.474 - 1.474

10.05 10 15 47.5 45 1.474 1.556 1.475

10.1167 10 15 47.5 45 1.474 1.556 1.476

10.1667 10 15 47.5 45 1.474 1.556 1.476

10.2833 10 15 47.5 45 1.474 1.556 1.478

10.3333 10 15 47.5 45 1.474 1.556 1.479

13 10 15 47.5 45 1.474 1.556 1.523

13.05 10 15 47.5 45 1.474 1.556 1.524

13.1667 10 15 47.5 45 1.474 1.556 1.526

13.2167 10 15 47.5 45 1.474 1.556 1.526

13.2833 10 15 47.5 45 1.474 1.556 1.527

13.3333 10 15 47.5 45 1.474 1.556 1.528

13.3833 10 15 47.5 45 1.474 1.556 1.529

13.45 10 15 47.5 45 1.474 1.556 1.530

13.5 10 15 47.5 45 1.474 1.556 1.531

13.6167 10 15 47.5 45 1.474 1.556 1.533

13.6667 10 15 47.5 45 1.474 1.556 1.534

16.3333 15 20 45 43.5 1.556 1.609 1.570

16.3833 15 20 45 43.5 1.556 1.609 1.570

16.5 15 20 45 43.5 1.556 1.609 1.572

16.55 15 20 45 43.5 1.556 1.609 1.57216.6167 15 20 45 43.5 1.556 1.609 1.573

16.6667 15 20 45 43.5 1.556 1.609 1.573

16.7167 15 20 45 43.5 1.556 1.609 1.574

16.7833 15 20 45 43.5 1.556 1.609 1.575

16.8333 15 20 45 43.5 1.556 1.609 1.575

16.95 15 20 45 43.5 1.556 1.609 1.576

17 15 20 45 43.5 1.556 1.609 1.577

19.6667 15 20 45 43.5 1.556 1.609 1.606

19.7167 15 20 45 43.5 1.556 1.609 1.606

19.8333 15 20 45 43.5 1.556 1.609 1.607

19.8833 15 20 45 43.5 1.556 1.609 1.608




6*27MW REY


19.95 15 20 45 43.5 1.556 1.609 1.609

20 20 - 43.5 - 1.609 - 1.609

20.05 20 30 43.5 40.2 1.609 1.741 1.610

20.1167 20 30 43.5 40.2 1.609 1.741 1.611

20.1667 20 30 43.5 40.2 1.609 1.741 1.611

20.2833 20 30 43.5 40.2 1.609 1.741 1.613

20.3333 20 30 43.5 40.2 1.609 1.741 1.614

23 20 30 43.5 40.2 1.609 1.741 1.649

23.05 20 30 43.5 40.2 1.609 1.741 1.649

23.1667 20 30 43.5 40.2 1.609 1.741 1.651

23.2167 20 30 43.5 40.2 1.609 1.741 1.652

23.2833 20 30 43.5 40.2 1.609 1.741 1.653

23.3333 20 30 43.5 40.2 1.609 1.741 1.653

23.3833 20 30 43.5 40.2 1.609 1.741 1.654

23.45 20 30 43.5 40.2 1.609 1.741 1.655

23.5 20 30 43.5 40.2 1.609 1.741 1.655

23.6167 20 30 43.5 40.2 1.609 1.741 1.657

23.6667 20 30 43.5 40.2 1.609 1.741 1.658

26.3333 20 30 43.5 40.2 1.609 1.741 1.693

26.3833 20 30 43.5 40.2 1.609 1.741 1.694

26.5 20 30 43.5 40.2 1.609 1.741 1.695

26.55 20 30 43.5 40.2 1.609 1.741 1.696

26.6167 20 30 43.5 40.2 1.609 1.741 1.697

26.6667 20 30 43.5 40.2 1.609 1.741 1.697

26.7167 20 30 43.5 40.2 1.609 1.741 1.698

26.7833 20 30 43.5 40.2 1.609 1.741 1.699

26.8333 20 30 43.5 40.2 1.609 1.741 1.699

26.95 20 30 43.5 40.2 1.609 1.741 1.701

27 20 30 43.5 40.2 1.609 1.741 1.702

29.6667 20 30 43.5 40.2 1.609 1.741 1.737

29.7167 20 30 43.5 40.2 1.609 1.741 1.73829.8333 20 30 43.5 40.2 1.609 1.741 1.739

29.8833 20 30 43.5 40.2 1.609 1.741 1.740

29.95 20 30 43.5 40.2 1.609 1.741 1.741

30 30 - 40.2 - 1.741 - 1.741

30.05 30 45 40.2 34.9 1.741 2.006 1.742

30.1167 30 45 40.2 34.9 1.741 2.006 1.743

30.1667 30 45 40.2 34.9 1.741 2.006 1.744

30.2833 30 45 40.2 34.9 1.741 2.006 1.746

30.3333 30 45 40.2 34.9 1.741 2.006 1.747

33 30 45 40.2 34.9 1.741 2.006 1.794

33.05 30 45 40.2 34.9 1.741 2.006 1.795




6*27MW REY


33.1667 30 45 40.2 34.9 1.741 2.006 1.797

33.2167 30 45 40.2 34.9 1.741 2.006 1.798

33.2833 30 45 40.2 34.9 1.741 2.006 1.799

33.3333 30 45 40.2 34.9 1.741 2.006 1.800

33.3833 30 45 40.2 34.9 1.741 2.006 1.801

33.45 30 45 40.2 34.9 1.741 2.006 1.802

33.5 30 45 40.2 34.9 1.741 2.006 1.803

33.6167 30 45 40.2 34.9 1.741 2.006 1.805

33.6667 30 45 40.2 34.9 1.741 2.006 1.806

36.3333 30 45 40.2 34.9 1.741 2.006 1.853

36.3833 30 45 40.2 34.9 1.741 2.006 1.854

36.5 30 45 40.2 34.9 1.741 2.006 1.856

36.55 30 45 40.2 34.9 1.741 2.006 1.857

36.6167 30 45 40.2 34.9 1.741 2.006 1.858

36.6667 30 45 40.2 34.9 1.741 2.006 1.859

36.7167 30 45 40.2 34.9 1.741 2.006 1.860

36.7833 30 45 40.2 34.9 1.741 2.006 1.861

36.8333 30 45 40.2 34.9 1.741 2.006 1.862

36.95 30 45 40.2 34.9 1.741 2.006 1.864

37 30 45 40.2 34.9 1.741 2.006 1.865

39.6667 30 45 40.2 34.9 1.741 2.006 1.912

39.7167 30 45 40.2 34.9 1.741 2.006 1.913

39.8333 30 45 40.2 34.9 1.741 2.006 1.915

39.8833 30 45 40.2 34.9 1.741 2.006 1.916

39.95 30 45 40.2 34.9 1.741 2.006 1.917

40 30 45 40.2 34.9 1.741 2.006 1.918

40.05 30 45 40.2 34.9 1.741 2.006 1.918

40.1167 30 45 40.2 34.9 1.741 2.006 1.920

40.1667 30 45 40.2 34.9 1.741 2.006 1.921

40.2833 30 45 40.2 34.9 1.741 2.006 1.923

40.3333 30 45 40.2 34.9 1.741 2.006 1.92343 30 45 40.2 34.9 1.741 2.006 1.970

43.05 30 45 40.2 34.9 1.741 2.006 1.971

43.1667 30 45 40.2 34.9 1.741 2.006 1.973

43.2167 30 45 40.2 34.9 1.741 2.006 1.974

43.2833 30 45 40.2 34.9 1.741 2.006 1.975

43.3333 30 45 40.2 34.9 1.741 2.006 1.976

43.3833 30 45 40.2 34.9 1.741 2.006 1.977

43.45 30 45 40.2 34.9 1.741 2.006 1.978

43.5 30 45 40.2 34.9 1.741 2.006 1.979

43.6167 30 45 40.2 34.9 1.741 2.006 1.981

43.6667 30 45 40.2 34.9 1.741 2.006 1.982




6*27MW REY


46.3333 45 60 34.9 32.2 2.006 2.174 2.021

46.3833 45 60 34.9 32.2 2.006 2.174 2.021

46.5 45 60 34.9 32.2 2.006 2.174 2.023

46.55 45 60 34.9 32.2 2.006 2.174 2.023

46.6167 45 60 34.9 32.2 2.006 2.174 2.024

46.6667 45 60 34.9 32.2 2.006 2.174 2.024

46.7167 45 60 34.9 32.2 2.006 2.174 2.025

46.7833 45 60 34.9 32.2 2.006 2.174 2.026

46.8333 45 60 34.9 32.2 2.006 2.174 2.026

46.95 45 60 34.9 32.2 2.006 2.174 2.028

47 45 60 34.9 32.2 2.006 2.174 2.028

49.6667 45 60 34.9 32.2 2.006 2.174 2.058

49.7167 45 60 34.9 32.2 2.006 2.174 2.059

49.8333 45 60 34.9 32.2 2.006 2.174 2.060

49.8833 45 60 34.9 32.2 2.006 2.174 2.060

49.95 45 60 34.9 32.2 2.006 2.174 2.061

50 45 60 34.9 32.2 2.006 2.174 2.062

50.05 45 60 34.9 32.2 2.006 2.174 2.062

50.1167 45 60 34.9 32.2 2.006 2.174 2.063

50.1667 45 60 34.9 32.2 2.006 2.174 2.064

50.2833 45 60 34.9 32.2 2.006 2.174 2.065

50.3333 45 60 34.9 32.2 2.006 2.174 2.066

53 45 60 34.9 32.2 2.006 2.174 2.095

53.05 45 60 34.9 32.2 2.006 2.174 2.096

53.1667 45 60 34.9 32.2 2.006 2.174 2.097

53.2167 45 60 34.9 32.2 2.006 2.174 2.098

53.2833 45 60 34.9 32.2 2.006 2.174 2.099

53.3333 45 60 34.9 32.2 2.006 2.174 2.099

53.3833 45 60 34.9 32.2 2.006 2.174 2.100

53.45 45 60 34.9 32.2 2.006 2.174 2.100

53.5 45 60 34.9 32.2 2.006 2.174 2.10153.6167 45 60 34.9 32.2 2.006 2.174 2.102

53.6667 45 60 34.9 32.2 2.006 2.174 2.103

56.3333 45 60 34.9 32.2 2.006 2.174 2.133

56.3833 45 60 34.9 32.2 2.006 2.174 2.133

56.5 45 60 34.9 32.2 2.006 2.174 2.135

56.55 45 60 34.9 32.2 2.006 2.174 2.135

56.6167 45 60 34.9 32.2 2.006 2.174 2.136

56.6667 45 60 34.9 32.2 2.006 2.174 2.137

56.7167 45 60 34.9 32.2 2.006 2.174 2.137

56.7833 45 60 34.9 32.2 2.006 2.174 2.138

56.8333 45 60 34.9 32.2 2.006 2.174 2.138




6*27MW REY


56.95 45 60 34.9 32.2 2.006 2.174 2.140

57 45 60 34.9 32.2 2.006 2.174 2.140

59.6667 45 60 34.9 32.2 2.006 2.174 2.170

59.7167 45 60 34.9 32.2 2.006 2.174 2.171

59.8333 45 60 34.9 32.2 2.006 2.174 2.172

59.8833 45 60 34.9 32.2 2.006 2.174 2.173

59.95 45 60 34.9 32.2 2.006 2.174 2.173

60 60 - 32.2 - 2.174 - 2.174

60.05 60 90 32.2 27 2.174 2.593 2.175

60.1167 60 90 32.2 27 2.174 2.593 2.176

60.1667 60 90 32.2 27 2.174 2.593 2.176

60.2833 60 90 32.2 27 2.174 2.593 2.178

60.3333 60 90 32.2 27 2.174 2.593 2.179

63 60 90 32.2 27 2.174 2.593 2.216

63.05 60 90 32.2 27 2.174 2.593 2.216

63.1667 60 90 32.2 27 2.174 2.593 2.218

63.2167 60 90 32.2 27 2.174 2.593 2.219

63.2833 60 90 32.2 27 2.174 2.593 2.220

63.3333 60 90 32.2 27 2.174 2.593 2.220

63.3833 60 90 32.2 27 2.174 2.593 2.221

63.45 60 90 32.2 27 2.174 2.593 2.222

63.5 60 90 32.2 27 2.174 2.593 2.223

63.6167 60 90 32.2 27 2.174 2.593 2.224

63.6667 60 90 32.2 27 2.174 2.593 2.225

66.3333 60 90 32.2 27 2.174 2.593 2.262

66.3833 60 90 32.2 27 2.174 2.593 2.263

66.5 60 90 32.2 27 2.174 2.593 2.265

66.55 60 90 32.2 27 2.174 2.593 2.265

66.6167 60 90 32.2 27 2.174 2.593 2.266

66.6667 60 90 32.2 27 2.174 2.593 2.267

66.7167 60 90 32.2 27 2.174 2.593 2.26866.7833 60 90 32.2 27 2.174 2.593 2.269

66.8333 60 90 32.2 27 2.174 2.593 2.269

66.95 60 90 32.2 27 2.174 2.593 2.271

67 60 90 32.2 27 2.174 2.593 2.272

69.6667 60 90 32.2 27 2.174 2.593 2.309

69.7167 60 90 32.2 27 2.174 2.593 2.310

69.8333 60 90 32.2 27 2.174 2.593 2.311

69.8833 60 90 32.2 27 2.174 2.593 2.312

69.95 60 90 32.2 27 2.174 2.593 2.313

70 60 90 32.2 27 2.174 2.593 2.313

70.05 60 90 32.2 27 2.174 2.593 2.314




6*27MW REY


70.1167 60 90 32.2 27 2.174 2.593 2.315

70.1667 60 90 32.2 27 2.174 2.593 2.316

70.2833 60 90 32.2 27 2.174 2.593 2.317

70.3333 60 90 32.2 27 2.174 2.593 2.318

73 60 90 32.2 27 2.174 2.593 2.355

73.05 60 90 32.2 27 2.174 2.593 2.356

73.1667 60 90 32.2 27 2.174 2.593 2.358

73.2167 60 90 32.2 27 2.174 2.593 2.358

73.2833 60 90 32.2 27 2.174 2.593 2.359

73.3333 60 90 32.2 27 2.174 2.593 2.360

73.3833 60 90 32.2 27 2.174 2.593 2.361

73.45 60 90 32.2 27 2.174 2.593 2.362

73.5 60 90 32.2 27 2.174 2.593 2.362

73.6167 60 90 32.2 27 2.174 2.593 2.364

73.6667 60 90 32.2 27 2.174 2.593 2.365

76.3333 60 90 32.2 27 2.174 2.593 2.402

76.3833 60 90 32.2 27 2.174 2.593 2.403

76.5 60 90 32.2 27 2.174 2.593 2.404

76.55 60 90 32.2 27 2.174 2.593 2.405

76.6167 60 90 32.2 27 2.174 2.593 2.406

76.6667 60 90 32.2 27 2.174 2.593 2.407

76.7167 60 90 32.2 27 2.174 2.593 2.407

76.7833 60 90 32.2 27 2.174 2.593 2.408

76.8333 60 90 32.2 27 2.174 2.593 2.409

76.95 60 90 32.2 27 2.174 2.593 2.410

77 60 90 32.2 27 2.174 2.593 2.411

79.6667 60 90 32.2 27 2.174 2.593 2.448

79.7167 60 90 32.2 27 2.174 2.593 2.449

79.8333 60 90 32.2 27 2.174 2.593 2.451

79.8833 60 90 32.2 27 2.174 2.593 2.451

79.95 60 90 32.2 27 2.174 2.593 2.45280 60 90 32.2 27 2.174 2.593 2.453

80.05 60 90 32.2 27 2.174 2.593 2.454

80.1167 60 90 32.2 27 2.174 2.593 2.455

80.1667 60 90 32.2 27 2.174 2.593 2.455

80.2833 60 90 32.2 27 2.174 2.593 2.457

80.3333 60 90 32.2 27 2.174 2.593 2.458

83 60 90 32.2 27 2.174 2.593 2.495

83.05 60 90 32.2 27 2.174 2.593 2.496

83.1667 60 90 32.2 27 2.174 2.593 2.497

83.2167 60 90 32.2 27 2.174 2.593 2.498

83.2833 60 90 32.2 27 2.174 2.593 2.499




6*27MW REY


83.3333 60 90 32.2 27 2.174 2.593 2.500

83.3833 60 90 32.2 27 2.174 2.593 2.500

83.45 60 90 32.2 27 2.174 2.593 2.501

83.5 60 90 32.2 27 2.174 2.593 2.502

83.6167 60 90 32.2 27 2.174 2.593 2.504

83.6667 60 90 32.2 27 2.174 2.593 2.504

86.3333 60 90 32.2 27 2.174 2.593 2.541

86.3833 60 90 32.2 27 2.174 2.593 2.542

86.5 60 90 32.2 27 2.174 2.593 2.544

86.55 60 90 32.2 27 2.174 2.593 2.544

86.6167 60 90 32.2 27 2.174 2.593 2.545

86.6667 60 90 32.2 27 2.174 2.593 2.546

86.7167 60 90 32.2 27 2.174 2.593 2.547

86.7833 60 90 32.2 27 2.174 2.593 2.548

86.8333 60 90 32.2 27 2.174 2.593 2.548

86.95 60 90 32.2 27 2.174 2.593 2.550

87 60 90 32.2 27 2.174 2.593 2.551

89.6667 60 90 32.2 27 2.174 2.593 2.588

89.7167 60 90 32.2 27 2.174 2.593 2.589

89.8333 60 90 32.2 27 2.174 2.593 2.590

89.8833 60 90 32.2 27 2.174 2.593 2.591

89.95 60 90 32.2 27 2.174 2.593 2.592

90 90 - 27 - 2.593 - 2.593

90.05 90 120 27 23 2.593 3.043 2.593

90.1167 90 120 27 23 2.593 3.043 2.594

90.1667 90 120 27 23 2.593 3.043 2.595

90.2833 90 120 27 23 2.593 3.043 2.597

90.3333 90 120 27 23 2.593 3.043 2.598

93 90 120 27 23 2.593 3.043 2.638

93.05 90 120 27 23 2.593 3.043 2.638

93.1667 90 120 27 23 2.593 3.043 2.64093.2167 90 120 27 23 2.593 3.043 2.641

93.2833 90 120 27 23 2.593 3.043 2.642

93.3333 90 120 27 23 2.593 3.043 2.643

93.3833 90 120 27 23 2.593 3.043 2.643

93.45 90 120 27 23 2.593 3.043 2.644

93.5 90 120 27 23 2.593 3.043 2.645

93.6167 90 120 27 23 2.593 3.043 2.647

93.6667 90 120 27 23 2.593 3.043 2.648

96.3333 90 120 27 23 2.593 3.043 2.688

96.3833 90 120 27 23 2.593 3.043 2.689

96.5 90 120 27 23 2.593 3.043 2.690




6*27MW REY


96.55 90 120 27 23 2.593 3.043 2.691

96.6167 90 120 27 23 2.593 3.043 2.692

96.6667 90 120 27 23 2.593 3.043 2.693

96.7167 90 120 27 23 2.593 3.043 2.694

96.7833 90 120 27 23 2.593 3.043 2.695

96.8333 90 120 27 23 2.593 3.043 2.695

96.95 90 120 27 23 2.593 3.043 2.697

97 90 120 27 23 2.593 3.043 2.698

99.6667 90 120 27 23 2.593 3.043 2.738

99.7167 90 120 27 23 2.593 3.043 2.739

99.8333 90 120 27 23 2.593 3.043 2.740

99.8833 90 120 27 23 2.593 3.043 2.741

99.95 90 120 27 23 2.593 3.043 2.742

100 90 120 27 23 2.593 3.043 2.743

100.05 90 120 27 23 2.593 3.043 2.744

100.1667 90 120 27 23 2.593 3.043 2.745

100.3333 90 120 27 23 2.593 3.043 2.748

103 90 120 27 23 2.593 3.043 2.788

103.1667 90 120 27 23 2.593 3.043 2.790

103.2167 90 120 27 23 2.593 3.043 2.791

103.3333 90 120 27 23 2.593 3.043 2.793

103.3833 90 120 27 23 2.593 3.043 2.794

103.5 90 120 27 23 2.593 3.043 2.795

103.6667 90 120 27 23 2.593 3.043 2.798

106.5 90 120 27 23 2.593 3.043 2.841

106.55 90 120 27 23 2.593 3.043 2.841

106.6667 90 120 27 23 2.593 3.043 2.843

106.7167 90 120 27 23 2.593 3.043 2.844

106.8333 90 120 27 23 2.593 3.043 2.846

107 90 120 27 23 2.593 3.043 2.848

109.8333 90 120 27 23 2.593 3.043 2.891109.8833 90 120 27 23 2.593 3.043 2.891

110 90 120 27 23 2.593 3.043 2.893

110.05 90 120 27 23 2.593 3.043 2.894

110.1667 90 120 27 23 2.593 3.043 2.896

110.3333 90 120 27 23 2.593 3.043 2.898

113.1667 90 120 27 23 2.593 3.043 2.941

113.2167 90 120 27 23 2.593 3.043 2.942

113.3333 90 120 27 23 2.593 3.043 2.943

113.3833 90 120 27 23 2.593 3.043 2.944

113.5 90 120 27 23 2.593 3.043 2.946

113.6667 90 120 27 23 2.593 3.043 2.948




6*27MW REY


116.5 90 120 27 23 2.593 3.043 2.991

116.55 90 120 27 23 2.593 3.043 2.992

116.6667 90 120 27 23 2.593 3.043 2.993

116.7167 90 120 27 23 2.593 3.043 2.994

116.8333 90 120 27 23 2.593 3.043 2.996

117 90 120 27 23 2.593 3.043 2.998

119.8333 90 120 27 23 2.593 3.043 3.041

120 120 - 23 - 3.043 - 3.043




6*27MW REY


9. The worksheet table

To determine the required cell size, it is necessary to calculate, from an analysis of each section of

the duty cycle, the maximum capacity required by the combined load demands (current versus time)

of the various sections.

The calculation of the capacity F S required by each section S , when S can be integer from 1 to N, can

be expressed as follows:

Where

S is the section of the duty cycle being analyzed. Section S contains the first S periods of the

duty cycle.

N is the number of periods in the duty cycle

P is the period being analysed

AP is the amperes required for period P

t is the time in minutes from the beginning of period P through the end of section S

K t is the capacity rating factor for a given cell type, at the t minute discharge rate, at 25℃, to a

definite end-of-discharge voltage

T t is the temperature derating factor at t minutes, based on electrolyte temperature at start of

the duty cycle

F S is the capacity required by each section S

If the current for period P+1 is greater than the current for period P, then section S=P+1 will require

larger cell than section S=P. consequently, the calculations for section S=P can be omitted. The

maximum capacity (max F S ) calculated determines the cell size.

According to Table 2 there exist 123 sections that which sections 3, 4, 5 and 6 are repeated in

sequence, in which section 4 has the greatest cell size. Table 5 shows the increase of cell capacity

according to increase number of periods. It can be concluded that section 120 will result in the

greatest cell size among 123 sections.




6*27MW REY


Table 5: Worksheet Table

Lowest Expected electrolyte Temp: 25⁰C

Minimum Cell

Voltage:

1.14V/cell

Cell Mfg: Interberg Cell Type: KPL 70

( 1 ) P e r i o d

(2)

Load (A)

(3)

Change in Load (A)

(4)

Duration of Period

(min)

(5)

Time to End of

Section (min)

(6)

Kt

(7)

Tt

Required Section Size =

(3)*(6)*(7) Ah

Positive Negative

Section 1– First Period Only

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 0.1667 0.9248 1 144.36

144.36 0.00Sub-

total

144.36 total

Section 2– First Two Period Only

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 17 1.5770 1 246.17

2 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 16.8333 1.5752 1 146.34

246.17 146.34Sub-

total

99.83 total

Section 3– First Three Period Only

1 A1 = 156 A1 - A0 =

2 A2 = 63.2 A2 - A1 =

3 A3 = 19.6 A3 - A2 =

Since A4 is greater than A3, go to section 4

Sub-

total

total

Section 4– First Four Period Only

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 20.05 1.6099 1 251.302 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 19.8833 1.6079 1 149.38

3 A3 = 19.6 A3 - A2 = -43.6 M3 = 3.0000 t = 3.05 1.2017 1 52.39

4 A4 = 178 A4 - A3 = 158 M4 = 0.0500 t = 0.05 0.9045 1 142.92

394.22 201.77Sub-

total

192.44 total

Section 5– First Five Period Only

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 20.1667 1.6114 1 251.54

2 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 20 1.6092 1 149.49

3 A3 = 19.6 A3 - A2 = -43.6 M3 = 3.0000 t = 3.1667 1.2076 1 52.65

4 A4 = 178 A4 - A3 = 158 M4 = 0.0500 t = 0.1667 0.9248 1 146.11

5 A5 = 158 A5 - A4 = -19.8 M5 = 0.1167 t = 0.1167 0.9196 1 18.21

397.65 220.36Sub-

total

177.30 total

Section 6– First Six Period Only

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 20.3333 1.6136 1 251.88

2 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 20.1667 1.6114 1 149.70

3 A3 = 19.6 A3 - A2 = -43.6 M3 = 3.0000 t = 3.3333 1.2161 1 53.02

4 A4 = 178 A4 - A3 = 158 M4 = 0.0500 t = 0.3333 0.9418 1 148.81

5 A5 = 158 A5 - A4 = -19.8 M5 = 0.1167 t = 0.2833 0.9367 1 18.55

6 A6 = 68.9 A6 - A5 = -88.9 M6 = 0.1667 t = 0.1667 0.9248 1 82.21

400.69 303.48Sub-

total

97.21 total




6*27MW REY


Lowest Expected electrolyte Temp: 25⁰C

Minimum Cell

Voltage:1.14V/cell

Cell Mfg: Interberg Cell Type: KPL 70

( 1 ) P e r i o d

(2)

Load (A)

(3)

Change in Load (A)

(4)

Duration of Period

(min)

(5)

Time to End of

Section (min)

(6)

Kt

(7)

Tt

Required Section Size =

(3)*(6)*(7) Ah

Positive Negative

Section 7– First Seven Period Only

1 A1 = 156 A1 - A0 =

2 A2 = 63.2 A2 - A1 =3 A3 = 19.6 A3 - A2 =

4 A4 = 178 A4 - A3 =

5 A5 = 158 A5 - A4 =

6 A6 = 68.9 A6 - A5 =

7 A7 = 19.6 A7 - A6 =


Sub-

total

total

Section 8– First Eight Period Only

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 23.3833 1.6539 1 258.17

2 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 23.2167 1.6517 1 153.44

3 A3 = 19.6 A3 - A2 = -43.6 M3 = 3.0000 t = 6.3833 1.3489 1 58.81

4 A4 = 178 A4 - A3 = 158 M4 = 0.0500 t = 3.3833 1.2187 1 192.55

5 A5 = 158 A5 - A4 = -19.8 M5 = 0.1167 t = 3.3333 1.2161 1 24.08

6 A6 = 68.9 A6 - A5 = -88.9 M6 = 0.1667 t = 3.2167 1.2102 1 107.59

7 A7 = 19.6 A7 - A6 = -49.3 M7 = 3.0000 t = 3.05 1.2017 1 59.24

8 A8 = 178 A8 - A7 = 158 M8 = 0.0500 t = 0.05 0.9045 1 142.92

593.64 403.16 Sub-total

190.48 total

Section 9– First Nine Period Only

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 23.5 1.6554 1 258.41

2 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 23.3333 1.6532 1 153.58

3 A3 = 19.6 A3 - A2 = -43.6 M3 = 3.0000 t = 6.5 1.3529 1 58.99

4 A4 = 178 A4 - A3 = 158 M4 = 0.0500 t = 3.5 1.2246 1 193.49

5 A5 = 158 A5 - A4 = -19.8 M5 = 0.1167 t = 3.45 1.2221 1 24.20

6 A6 = 68.9 A6 - A5 = -88.9 M6 = 0.1667 t = 3.3333 1.2161 1 108.11

7 A7 = 19.6 A7 - A6 = -49.3 M7 = 3.0000 t = 3.1667 1.2076 1 59.54

8 A8 = 178 A8 - A7 = 158 M8 = 0.0500 t = 0.1667 0.9248 1 146.11

9 A9 = 158 A9 - A8 = -19.8 M9 = 0.1167 t = 0.1167 0.9196 1 18.21598.02 422.63 Sub-total

175.39 total

Section 10– First Ten Period Only

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 23.6667 1.6576 1 258.76

2 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 23.5 1.6554 1 153.79

3 A3 = 19.6 A3 - A2 = -43.6 M3 = 3.0000 t = 6.6667 1.3586 1 59.24

4 A4 = 178 A4 - A3 = 158 M4 = 0.0500 t = 3.6667 1.2331 1 194.84

5 A5 = 158 A5 - A4 = -19.8 M5 = 0.1167 t = 3.6167 1.2306 1 24.37

6 A6 = 68.9 A6 - A5 = -88.9 M6 = 0.1667 t = 3.5 1.2246 1 108.87

7 A7 = 19.6 A7 - A6 = -49.3 M7 = 3.0000 t = 3.3333 1.2161 1 59.96

8 A8 = 178 A8 - A7 = 158 M8 = 0.0500 t = 0.3333 0.9418 1 148.81

9 A9 = 158 A9 - A8 = -19.8 M9 = 0.1167 t = 0.2833 0.9367 1 18.55

10 A10 = 68.9 A10 - A9 = -88.9 M10 = 0.1667 t = 0.1667 0.9248 1 82.21

602.40 506.98 Sub-total

95.42 total

Section 11–

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 26.6667 1.6973 1 264.94




6*27MW REY


2 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 26.5 1.6951 1 157.47

3 A3 = 19.6 A3 - A2 = -43.6 M3 = 3.0000 t = 9.6667 1.4622 1 63.75

4 A4 = 178 A4 - A3 = 158 M4 = 0.0500 t = 6.6667 1.3586 1 214.67

5 A5 = 158 A5 - A4 = -19.8 M5 = 0.1167 t = 6.6167 1.3569 1 26.87

6 A6 = 68.9 A6 - A5 = -88.9 M6 = 0.1667 t = 6.5 1.3529 1 120.27

7 A7 = 19.6 A7 - A6 = -49.3 M7 = 3.0000 t = 6.3333 1.3471 1 66.41

8 A8 = 178 A8 - A7 = 158 M8 = 0.0500 t = 3.3333 1.2161 1 192.15

9 A9 = 158 A9 - A8 = -19.8 M9 = 0.1167 t = 3.2833 1.2136 1 24.03

10 A10 = 68.9 A10 - A9 = -88.9 M10 = 0.1667 t = 3.1667 1.2076 1 107.36

11 A11 = 19.6 A11 - A10 = -49.3 M11 = 3.0000 t = 3 1.1991 1 59.12


671.76 625.28 Sub-total

46.48 total

Continuing this worksheet shows the growth of cell size up to section 120, so:




6*27MW REY


Lowest Expected electrolyte Temp: 25 ⁰C Minimum Cell

Voltage: 1.14V/cellCell Mfg: Interberg Cell Type: KPL 70

( 1 ) P e r i o

d (2)

Load (A)

(3)

Change in Load (A)

(4)

Duration of Period

(min)

(5)

Time to End of

Section (min)

(6)

Kt

(7)

Tt

Required Section Size = (3)*(6)*(7)

Ah

Positive Negative

Section 120–

1 A1 = 156 A1 - A0 = 156 M1 = 0.1667 t = 116.7167 2.9941 1 467.38

2 A2 = 63.2 A2 - A1 = -92.9 M2 = 16.8333 t = 116.55 2.9916 1 277.92

3 A3 = 19.6 A3 - A2 = -43.6 M3 = 3.0000 t = 99.7167 2.7386 1 119.40

4 A4 = 178 A4 - A3 = 158 M4 = 0.0500 t = 96.7167 2.6935 1 425.58

5 A5 = 158 A5 - A4 = -19.8 M5 = 0.1167 t = 96.6667 2.6928 1 53.32

6 A6 = 68.9 A6 - A5 = -88.9 M6 = 0.1667 t = 96.55 2.6910 1 239.23

7 A7 = 19.6 A7 - A6 = -49.3 M7 = 3.0000 t = 96.3833 2.6885 1 132.54

8 A8 = 178 A8 - A7 = 158 M8 = 0.0500 t = 93.3833 2.6434 1 417.66

9 A9 = 158 A9 - A8 = -19.8 M9 = 0.1167 t = 93.3333 2.6427 1 52.33

10 A10 = 68.9 A10 - A9 = -88.9 M10 = 0.1667 t = 93.2167 2.6409 1 234.78

11 A11 = 19.6 A11 - A10 = -49.3 M11 = 3.0000 t = 93.05 2.6384 1 130.07

12 A12 = 178 A12 - A11 = 158 M12 = 0.0500 t = 90.05 2.5933 1 409.7513 A13 = 158 A13 - A12 = -19.8 M13 = 0.1167 t = 90 2.5926 1 51.33

14 A14 = 68.9 A14 - A13 = -88.9 M14 = 0.1667 t = 89.8833 2.5910 1 230.34

15 A15 = 19.6 A15 - A14 = -49.3 M15 = 3.0000 t = 89.7167 2.5886 1 127.62

16 A16 = 178 A16 - A15 = 158 M16 = 0.0500 t = 86.7167 2.5468 1 402.39

17 A17 = 158 A17 - A16 = -19.8 M17 = 0.1167 t = 86.6667 2.5461 1 50.41

18 A18 = 68.9 A18 - A17 = -88.9 M18 = 0.1667 t = 86.55 2.5444 1 226.20

19 A19 = 19.6 A19 - A18 = -49.3 M19 = 3.0000 t = 86.3833 2.5421 1 125.33

20 A20 = 178 A20 - A19 = 158 M20 = 0.0500 t = 83.3833 2.5003 1 395.04

21 A21 = 158 A21 - A20 = -19.8 M21 = 0.1167 t = 83.3333 2.4996 1 49.49

22 A22 = 68.9 A22 - A21 = -88.9 M22 = 0.1667 t = 83.2167 2.4979 1 222.07

23 A23 = 19.6 A23 - A22 = -49.3 M23 = 3.0000 t = 83.05 2.4956 1 123.03

24 A24 = 178 A24 - A23 = 158 M24 = 0.0500 t = 80.05 2.4537 1 387.69

25 A25 = 158 A25 - A24 = -19.8 M25 = 0.1167 t = 80 2.4530 1 48.57

26 A26 = 68.9 A26 - A25 = -88.9 M26 = 0.1667 t = 79.8833 2.4514 1 217.93

27 A27 = 19.6 A27 - A26 = -49.3 M27 = 3.0000 t = 79.7167 2.4491 1 120.7428 A28 = 178 A28 - A27 = 158 M28 = 0.0500 t = 76.7167 2.4072 1 380.34

29 A29 = 158 A29 - A28 = -19.8 M29 = 0.1167 t = 76.6667 2.4065 1 47.65

30 A30 = 68.9 A30 - A29 = -88.9 M30 = 0.1667 t = 76.55 2.4049 1 213.79

31 A31 = 19.6 A31 - A30 = -49.3 M31 = 3.0000 t = 76.3833 2.4026 1 118.45

32 A32 = 178 A32 - A31 = 158 M32 = 0.0500 t = 73.3833 2.3607 1 372.99

33 A33 = 158 A33 - A32 = -19.8 M33 = 0.1167 t = 73.3333 2.3600 1 46.73

34 A34 = 68.9 A34 - A33 = -88.9 M34 = 0.1667 t = 73.2167 2.3584 1 209.66

35 A35 = 19.6 A35 - A34 = -49.3 M35 = 3.0000 t = 73.05 2.3560 1 116.15

36 A36 = 178 A36 - A35 = 158 M36 = 0.0500 t = 70.05 2.3142 1 365.64

37 A37 = 158 A37 - A36 = -19.8 M37 = 0.1167 t = 70 2.3135 1 45.81

38 A38 = 68.9 A38 - A37 = -88.9 M38 = 0.1667 t = 69.8833 2.3118 1 205.52

39 A39 = 19.6 A39 - A38 = -49.3 M39 = 3.0000 t = 69.7167 2.3095 1 113.86

40 A40 = 178 A40 - A39 = 158 M40 = 0.0500 t = 66.7167 2.2677 1 358.29

41 A41 = 158 A41 - A40 = -19.8 M41 = 0.1167 t = 66.6667 2.2670 1 44.89

42 A42 = 68.9 A42 - A41 = -88.9 M42 = 0.1667 t = 66.55 2.2653 1 201.39

43 A43 = 19.6 A43 - A42 = -49.3 M43 = 3.0000 t = 66.3833 2.2630 1 111.57

44 A44 = 178 A44 - A43 = 158 M44 = 0.0500 t = 63.3833 2.2211 1 350.94

45 A45 = 158 A45 - A44 = -19.8 M45 = 0.1167 t = 63.3333 2.2204 1 43.96

46 A46 = 68.9 A46 - A45 = -88.9 M46 = 0.1667 t = 63.2167 2.2188 1 197.25

47 A47 = 19.6 A47 - A46 = -49.3 M47 = 3.0000 t = 63.05 2.2165 1 109.27

48 A48 = 178 A48 - A47 = 158 M48 = 0.0500 t = 60.05 2.1746 1 343.59

49 A49 = 158 A49 - A48 = -19.8 M49 = 0.1167 t = 60 2.1739 1 43.04

50 A50 = 68.9 A50 - A49 = -88.9 M50 = 0.1667 t = 59.8833 2.1726 1 193.14

51 A51 = 19.6 A51 - A50 = -49.3 M51 = 3.0000 t = 59.7167 2.1707 1 107.02

52 A52 = 178 A52 - A51 = 158 M52 = 0.0500 t = 56.7167 2.1371 1 337.66

53 A53 = 158 A53 - A52 = -19.8 M53 = 0.1167 t = 56.6667 2.1365 1 42.30

54 A54 = 68.9 A54 - A53 = -88.9 M54 = 0.1667 t = 56.55 2.1352 1 189.82

55 A55 = 19.6 A55 - A54 = -49.3 M55 = 3.0000 t = 56.3833 2.1334 1 105.17

56 A56 = 178 A56 - A55 = 158 M56 = 0.0500 t = 53.3833 2.0997 1 331.76

57 A57 = 158 A57 - A56 = -19.8 M57 = 0.1167 t = 53.3333 2.0992 1 41.56

58 A58 = 68.9 A58 - A57 = -88.9 M58 = 0.1667 t = 53.2167 2.0979 1 186.5059 A59 = 19.6 A59 - A58 = -49.3 M59 = 3.0000 t = 53.05 2.0960 1 103.33

60 A60 = 178 A60 - A59 = 158 M60 = 0.0500 t = 50.05 2.0624 1 325.85

61 A61 = 158 A61 - A60 = -19.8 M61 = 0.1167 t = 50 2.0618 1 40.82




6*27MW REY


62 A62 = 68.9 A62 - A61 = -88.9 M62 = 0.1667 t = 49.8833 2.0605 1 183.18

63 A63 = 19.6 A63 - A62 = -49.3 M63 = 3.0000 t = 49.7167 2.0586 1 101.49

64 A64 = 178 A64 - A63 = 158 M64 = 0.0500 t = 46.7167 2.0250 1 319.95

65 A65 = 158 A65 - A64 = -19.8 M65 = 0.1167 t = 46.6667 2.0244 1 40.08

66 A66 = 68.9 A66 - A65 = -88.9 M66 = 0.1667 t = 46.55 2.0231 1 179.85

67 A67 = 19.6 A67 - A66 = -49.3 M67 = 3.0000 t = 46.3833 2.0212 1 99.65

68 A68 = 178 A68 - A67 = 158 M68 = 0.0500 t = 43.3833 1.9772 1 312.40

69 A69 = 158 A69 - A68 = -19.8 M69 = 0.1167 t = 43.3333 1.9763 1 39.13

70 A70 = 68.9 A70 - A69 = -88.9 M70 = 0.1667 t = 43.2167 1.9743 1 175.51

71 A71 = 19.6 A71 - A70 = -49.3 M71 = 3.0000 t = 43.05 1.9714 1 97.19

72 A72 = 178 A72 - A71 = 158 M72 = 0.0500 t = 40.05 1.9185 1 303.12

73 A73 = 158 A73 - A72 = -19.8 M73 = 0.1167 t = 40 1.9176 1 37.97

74 A74 = 68.9 A74 - A73 = -88.9 M74 = 0.1667 t = 39.8833 1.9155 1 170.29

75 A75 = 19.6 A75 - A74 = -49.3 M75 = 3.0000 t = 39.7167 1.9126 1 94.29

76 A76 = 178 A76 - A75 = 158 M76 = 0.0500 t = 36.7167 1.8597 1 293.83

77 A77 = 158 A77 - A76 = -19.8 M77 = 0.1167 t = 36.6667 1.8588 1 36.80

78 A78 = 68.9 A78 - A77 = -88.9 M78 = 0.1667 t = 36.55 1.8568 1 165.07

79 A79 = 19.6 A79 - A78 = -49.3 M79 = 3.0000 t = 36.3833 1.8538 1 91.39

80 A80 = 178 A80 - A79 = 158 M80 = 0.0500 t = 33.3833 1.8009 1 284.55

81 A81 = 158 A81 - A80 = -19.8 M81 = 0.1167 t = 33.3333 1.8001 1 35.6482 A82 = 68.9 A82 - A81 = -88.9 M82 = 0.1667 t = 33.2167 1.7980 1 159.84

83 A83 = 19.6 A83 - A82 = -49.3 M83 = 3.0000 t = 33.05 1.7951 1 88.50

84 A84 = 178 A84 - A83 = 158 M84 = 0.0500 t = 30.05 1.7422 1 275.26

85 A85 = 158 A85 - A84 = -19.8 M85 = 0.1167 t = 30 1.7413 1 34.48

86 A86 = 68.9 A86 - A85 = -88.9 M86 = 0.1667 t = 29.8833 1.7398 1 154.66

87 A87 = 19.6 A87 - A86 = -49.3 M87 = 3.0000 t = 29.7167 1.7376 1 85.66

88 A88 = 178 A88 - A87 = 158 M88 = 0.0500 t = 26.7167 1.6979 1 268.27

89 A89 = 158 A89 - A88 = -19.8 M89 = 0.1167 t = 26.6667 1.6973 1 33.61

90 A90 = 68.9 A90 - A89 = -88.9 M90 = 0.1667 t = 26.55 1.6957 1 150.75

91 A91 = 19.6 A91 - A90 = -49.3 M91 = 3.0000 t = 26.3833 1.6935 1 83.49

92 A92 = 178 A92 - A91 = 158 M92 = 0.0500 t = 23.3833 1.6539 1 261.31

93 A93 = 158 A93 - A92 = -19.8 M93 = 0.1167 t = 23.3333 1.6532 1 32.73

94 A94 = 68.9 A94 - A93 = -88.9 M94 = 0.1667 t = 23.2167 1.6517 1 146.84

95 A95 = 19.6 A95 - A94 = -49.3 M95 = 3.0000 t = 23.05 1.6495 1 81.32

96 A96 = 178 A96 - A95 = 158 M96 = 0.0500 t = 20.05 1.6099 1 254.36

97 A97 = 158 A97 - A96 = -19.8 M97 = 0.1167 t = 20 1.6092 1 31.86

98 A98 = 68.9 A98 - A97 = -88.9 M98 = 0.1667 t = 19.8833 1.6079 1 142.95

99 A99 = 19.6 A99 - A98 = -49.3 M99 = 3.0000 t = 19.7167 1.6062 1 79.18

100 A100 = 178 A100 - A99 = 158 M100 = 0.0500 t = 16.7167 1.5740 1 248.69

101 A101 = 158 A101 - A100 = -19.8 M101 = 0.1167 t = 16.6667 1.5734 1 31.15

102 A102 = 68.9 A102 - A101 = -88.9 M102 = 0.1667 t = 16.55 1.5722 1 139.77

103 A103 = 19.6 A103 - A102 = -49.3 M103 = 3.0000 t = 16.3833 1.5704 1 77.42

104 A104 = 178 A104 - A103 = 158 M104 = 0.0500 t = 13.3833 1.5291 1 241.60

105 A105 = 158 A105 - A104 = -19.8 M105 = 0.1167 t = 13.3333 1.5283 1 30.26

106 A106 = 68.9 A106 - A105 = -88.9 M106 = 0.1667 t = 13.2167 1.5264 1 135.69

107 A107 = 19.6 A107 - A106 = -49.3 M107 = 3.0000 t = 13.05 1.5236 1 75.11

108 A108 = 178 A108 - A107 = 158 M108 = 0.0500 t = 10.05 1.4745 1 232.97

109 A109 = 158 A109 - A108 = -19.8 M109 = 0.1167 t = 10 1.4737 1 29.18

110 A110 = 68.9 A110 - A109 = -88.9 M110 = 0.1667 t = 9.8833 1.4697 1 130.65

111 A111 = 19.6 A111 - A110 = -49.3 M111 = 3.0000 t = 9.7167 1.4639 1 72.17

112 A112 = 178 A112 - A111 = 158 M112 = 0.0500 t = 6.7167 1.3604 1 214.94113 A113 = 158 A113 - A112 = -19.8 M113 = 0.1167 t = 6.6667 1.3586 1 26.90

114 A114 = 68.9 A114 - A113 = -88.9 M114 = 0.1667 t = 6.55 1.3546 1 120.42

115 A115 = 19.6 A115 - A114 = -49.3 M115 = 3.0000 t = 6.3833 1.3489 1 66.50

116 A116 = 178 A116 - A115 = 158 M116 = 0.0500 t = 3.3833 1.2187 1 192.55

117 A117 = 158 A117 - A116 = -19.8 M117 = 0.1167 t = 3.3333 1.2161 1 24.08

118 A118 = 68.9 A118 - A117 = -88.9 M118 = 0.1667 t = 3.2167 1.2102 1 107.59

119 A119 = 19.6 A119 - A118 = -49.3 M119 = 3.0000 t = 3.05 1.2017 1 59.24

120 A120 = 178 A120 - A119 = 158 M120 = 0.0500 t = 0.05 0.9045 1 142.92

9919.27 9690.88 Sub-total

228.38 Total

Maximum Section Size × Aging Factor(1.2) = Required Cell Size (Ah)

228.38 1.2 = 274.059

KPL 280 whould be suitable for this practice.




6*27MW REY


According to Table 3 the nearest cell size is KPL 280. Since the ratio of discharge current between

KPL70 and KPL280 for the Discharge Time up to 2 hours is the same, there is no need to calculate

the worksheet for KPL280 because it would result the same value of cell size.

Therefore,U

98 cells of KPL280 with end-of-discharge-voltage=1.14U

shall be selected to supply DC

loads specified in Table 1. See attachment 1 for more characteristics data of this Battery.

Battery Charger Capacity shall be calculated based on the summation of continuous loads indicated

in Table 1 plus Battery charging current.

According to charging procedure introduced in IEC 60623 for the duration of charge 7h to 8h the

constant current of 0.2 I t A is required, in which:

Charging Current = 19.6 + 0.2×280 = 75.6 A

Therefore, charger with nominal output voltage of 125 VDC and output current of 76 A is needed.




6*27MW REY


ATTACHMENT 1:

Interberg Battery Characteristics and Data




6*27MW REY


NICKEL-CADMIUM BATTERIES, DISCHARGE TABLES interberg batteries

FINAL DISCHARGE VOLTAGE = 1.14 VOLTS/CELL

CellTypes

Cell dimensions(mm)

10h

8h

5h

3h

2h

90min

60min

45min

30min

20min

15min

10min

5min

60sec

30sec

5sec

1sec

L W H

KPL10 38 84 128 1.00 1.30 2.00 2.80 3.29 3.90 4.60 5.00 5.80 6.30 6.40 6.80 7.70 9.10 10.5 10.9 11.2

KPL17 32 113 217 1.55 2.24 3.40 4.71 5.56 6.57 7.96 8.65 9.74 10.6 11.1 11.5 13.1 15.3 16.8 18.6 19.0

KPL22 32 113 217 2.00 2.90 4.40 6.10 7.20 8.50 10.3 11.2 12.6 13.7 14.3 14.9 16.9 19.8 21.7 24.1 24.6

KPL30 68 134 240 3.20 3.90 6.00 8.30 9.87 11.8 13.9 15.0 17.2 18.7 19.3 20.3 23.0 27.5 31.5 32.7 33.6

KPL40 68 134 240 4.00 5.30 8.00 11.3 13.2 15.6 18.5 20.0 23.0 24.9 25.8 27.1 30.7 36.5 41.9 43.6 44.8

KPL45 68 134 240 5.00 5.90 9.10 12.6 14.8 17.6 20.8 22.5 25.9 28.0 28.9 30.5 34.6 40.6 44.3 49.1 50.4

KPL50 70 134 280 5.20 6.50 10.10 14.0 16.5 19.5 23.1 25.0 28.7 31.1 32.1 33.9 38.4 45.7 52.2 54.5 56.1

KPL60 70 134 280 6.10 7.80 12.10 16.9 19.7 23.3 27.7 29.9 34.4 37.3 38.6 40.7 46.1 54.7 62.9 64.4 67.2

KPL70 79 140 360 7.35 9.19 14.09 19.5 23.0 27.0 32.2 34.9 40.2 43.5 45.0 47.5 53.8 63.8 73.0 76.4 78.4

KPL80 79 140 360 8.40 10.50 16.10 22.3 26.3 30.9 36.8 39.9 45.9 49.7 51.4 54.3 61.5 72.9 83.4 87.3 89.6KPL90 79 140 360 9.27 11.97 18.09 25.0 29.6 34.8 41.5 44.8 51.6 56.0 57.8 61.1 63.8 81.9 94.5 98.1 101

KPL100 79 140 360 10.30 13.30 20.10 27.8 32.9 38.7 46.1 49.8 57.3 62.2 64.2 67.9 70.9 91.0 105 109 112

KPL115 79 140 360 12.24 15.18 23.09 32.0 37.9 44.4 53.0 57.2 65.9 71.6 73.7 78.1 88.5 103 113 120 129

KPL125 79 140 360 13.30 16.50 25.10 34.8 41.2 48.3 57.6 62.2 71.6 77.8 80.1 84.9 96.2 112 123 130 140

KPL135 106 164 343 14.67 17.91 27.09 37.5 44.5 43.1 62.1 67.2 77.3 84.0 86.5 90.9 104 124 142 147 151

KPL150 106 164 343 16.30 19.90 30.10 41.7 49.4 47.9 69.0 74.7 85.9 93.3 96.1 101 115 138 158 163 168

KPL165 106 164 343 17.57 21.78 33.00 45.9 54.3 63.6 75.8 82.1 94.1 102 105 111 126 151 174 180 185

KPL180 106 164 343 19.17 23.76 36.00 50.0 59.2 69.4 82.7 89.6 103 112 114 122 138 165 190 196 202

KPL200 106 164 343 21.30 26.40 40.00 55.6 65.8 77.1 91.9 99.5 114 124 127 135 153 183 211 218 224

KPL230 138 276 418 24.29 30.36 41.31 63.9 75.7 88.5 105 113 131 143 146 155 177 211 242 250 258

KPL250 138 276 418 26.40 33.00 44.90 69.5 82.3 96.2 114 123 142 155 159 169 192 229 263 272 280

KPL265 138 276 448 27.83 34.89 52.91 73.6 87.2 102 121 131 151 164 169 179 203 244 274 289 292

KPL280 138 276 448 29.40 36.87 55.91 77.7 92.1 107 128 138 160 174 178 189 215 258 289 305 308

KPL300 138 276 448 31.50 39.50 59.90 83.3 98.7 115 137 148 171 186 191 203 230 276 310 327 330

KPL330 138 276 450 34.70 43.37 65.91 91.6 108 126 151 163 189 205 210 223 254 303 347 359 370

KPL350 138 276 450 36.80 46.00 69.90 97.1 115 134 160 173 200 217 223 237 269 321 368 381 392

KPL365 138 276 450 38.42 47.91 72.73 100 120 140 167 181 208 226 233 247 280 334 382 398 409

KPL400 138 276 450 42.10 52.50 79.70 110 131 153 183 198 228 248 255 271 307 366 419 436 448

KPL430 138 276 450 45.15 56.50 85.66 119 141 165 197 212 245 267 274 292 330 393 449 469 482

KPL450 138 276 450 47.25 59.13 89.64 124 148 173 206 222 257 279 287 305 346 411 470 491 504

KPL500 138 276 450 52.50 65.70 99.60 138 164 192 229 247 285 310 319 339 384 457 522 545 560

KPL600 174 290 505 62.50 78.70 119 165 197 230 275 297 342 372 383 407 461 549 627 654 672

KPL700 185 398 570 73.40 91.70 138 193 230 268 320 346 400 434 447 475 538 637 731 763 784

KPL800 285 398 570 83.90 104 158 221 263 307 366 396 457 496 511 543 615 729 845 873 896

KPL900 185 398 570 94.30 117 178 248 296 345 412 445 514 558 575 611 692 820 940 982 1008

KPL1000 185 398 570 105 130 198 276 329 383 458 495 571 621 639 679 769 911 1043 1091 1120



6*27MW REY


interberg batteriesNICKEL-CADMIUM BATTERIES, CELL RANGES AND BASIC PHYSICAL AND ELECTRICAL DATA

Celltypes

Cell dimensions(mm) No. of the

terminalsSize of theterminals

Size ofthe nut(mm)

Cellweightfilled(kg)

Cellweightempty(kg)

Quantityof

electrolyte(liters)

Required solidelectrolyte

Electrolyte reserveShort-circuit

current (A)

Internalresistance(mOhm)

Above the plates Below the plates

L W HGrams/liter

Grams/liter

Height(mm)

Quantity(mm)

Height(mm)

Quantity(mm)

KPL10 38 84 128 2 M6 10 0,66 0,48 0,15 45 4,5 10 20 5 10 200 6,3

KPL17 32 113 217 2 M6 10 1,5 1,2 0,25 75 7,5 20 50 5 12 220 6

KPL22 32 113 217 2 M6 10 1,78 1,42 0,30 90 9 20 50 5 12 240 5,5

KPL30 70 134 245 2 M16 24 2,5 2 0,40 120 12 30 210 10 75 260 5

KPL40 70 134 285 2 M16 24 3,65 2,45 1,00 300 30 50 350 10 75 300 4,3

KPL45 70 134 285 2 M16 24 3,85 2,9 0,80 240 24 50 350 10 75 330 4

KPL50 70 134 285 2 M16 24 4 3,16 0,70 210 21 50 350 10 75 360 3,6

KPL60 70 134 285 2 M16 24 4,2 3,6 0,50 150 15 50 350 10 75 400 3,2

KPL70 80 140 375 2 M10 16 6 4,2 1,50 450 45 80 700 10 90 460 2,8

KPL80 80 140 375 2 M10 16 6,2 4,52 1,40 420 42 20 200 10 90 520 2,5

KPL90 80 140 375 2 M10 16 6,3 4,7 1,35 405 40,5 20 200 10 90 590 2,2

KPL100 80 140 375 2 M10 16 6,5 5 1,30 390 39 20 200 10 90 650 2

KPL115 80 140 375 2 M10 16 6,8 5,5 1,10 330 33 20 200 10 90 720 1,8

KPL125 80 140 375 2 M10 16 7 5,8 1,00 300 30 20 200 10 90 760 1,7

KPL135 106 164 345 2 M20 30 10,5 6,7 3,50 1050 105 40 570 15 220 820 1,6

KPL150 106 164 345 2 M20 30 10,9 7,2 3,00 900 90 40 570 15 220 930 1,4

KPL165 106 164 345 2 M20 30 11,2 8 2,50 750 75 40 570 15 220 1000 1,3

KPL180 106 164 345 2 M20 30 12 9 2,00 600 60 40 570 15 220 1000 1,3

KPL200 106 164 345 2 M20 30 12,5 10,3 1,80 540 54 40 570 15 220 1050 1,2

KPL230 138 276 420 4 M16 24 18 10,2 6,50 1950 195 50 1400 25 690 1200 1,1

KPL250 138 276 420 4 M16 24 20 11,3 5,80 1740 174 50 1400 25 690 1200 1,1

KPL265 138 276 420 4 M16 24 21 13 5,30 1590 159 40 1150 25 690 1200 1,1

KPL280 138 276 450 4 M16 24 22,5 14,5 6,20 1860 186 60 1700 25 690 1200 1,1

KPL300 138 276 450 4 M16 24 23 16 6,00 1800 180 60 1700 25 690 1300 1

KPL330 138 276 450 4 M16 24 23,5 17 5,80 1740 174 60 1700 25 690 1450 0,9

KPL350 138 276 450 4 M16 24 24,5 18 5,20 1560 156 60 1700 25 690 1500 0,85

KPL365 138 276 450 4 M16 24 25 19 5,00 1500 150 50 1400 25 690 1500 0,85

KPL400 138 276 450 4 M16 24 26 21 4,50 1350 135 50 1400 25 690 1600 0,8

KPL430 138 276 450 4 M16 24 28 22 4,00 1200 120 40 1150 25 690 1750 0,75

KPL450 138 276 450 4 M16 24 30 24 3,50 1050 105 40 1150 25 690 1750 0,75

KPL500 174 291 510 4 M20 30 38 25 8,50 2550 255 120 5000 35 1400 1850 0,7

KPL600 174 291 510 4 M20 30 40 28 7,50 2250 225 100 4200 35 1400 2000 0,65

KPL700 174 291 510 4 M20 30 45 30 7,00 2100 210 100 3500 35 2050 2200 0,6

KPL800 185 398 570 6 M20 30 58 39 16,00 4800 480 90 5600 35 2050 2400 0,55

KPL900 185 398 570 6 M20 30 60 42 15,00 4500 450 70 4300 35 2050 2600 0,5

KPL1000 185 398 570 6 M20 30 63 46 14,00 4200 420 40 2500 35 2050 3250 0,4

battery & battery charger calculation reva

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