ELECTRICAL MOTOR CALCULATIONS

518eb950-3165-4ebf-86e8-fdb525f4de95 116 ELECTRICAL MOTOR CALCULATIONS HEPP POWERHOUSE BUILDING DRAINAGE PIT PUMPS 4 5 false false 0 decimal

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DESIGN PURPOSE

Purpose of this document is to calculate the power of the pumps required for emptying the drainage pits in the HEPP powerhouse.

DESIGN INFORMATION

Sump Pit Width ....................... : G 4 m * :

Sump Pit Length ...................... : B 6 m * :

Sump Pit Height ...................... : H 10 m * :

Pumping Head ......................... : ΔH 15 m * :

Pump Efficiency ...................... : η 75 % * :

Pipe Dimensions ...................... : D DN200x8mm :

Total Pipe Length .................... : ΔL 20 m * :

Water Temperature .................... : T 15 °C * :

Water  Density ....................... : ρ 1000 kg m 3^/ * :

vA T °C / : 15

π π :

τ 2.77388442 vA 6^* 1243.59703683 vA 5^* - 229813.89243372 vA 4^* + 23103721.0686735 vA 3^* - 1433935467.00877 vA 2^* + 60641409200.4945 vA * - 1791572546818.17 + (1012 -^* :

τ τ MPa * s * : MPa s * 1.1373

υ Temperature is high for viscosity : vA 373 > υ 1.78038 vA 6^* 2774.95333 vA 5^* - 1819642.46491 vA 4^* + 649954873.57883 vA 3^* - 136367622445.752 vA 2^* + 16608129872791.1 vA * - 1084869331744970 + (1015 -^* mm 2^s / * : vA 85 ≥ υ Temperature is low for viscosity : vA 0 < υ 2.82244333 vA 6^* 1264.41088087 vA 5^* - 233366.59710795 vA 4^* + 23407904.4336466 vA 3^* - 1446869434.85654 vA 2^* + 60731029791.3931 vA * - 1791940003437.77 + (1012 -^* mm 2^s / * : vA 85 < 1 cases

υ mm 2^s / 1.1384

Kinematic Viscosity .................. : υ mm 2^s / 1.1384

1. VOLUME, FLOW RATE and SPEED CALCULATIONS

Pit Geometry

Pit Width G mm 4000

Pit Length B mm 6000

Pit Height H mm 10000

Pit Volume W G B * H * : m 3^240

Flow Rate and Speed

It is assumed that pit shall be drained in 1 hour.

Drainage Time t 1 hr * :

Flow Rate Q W t / : m 3^hr / 240

Pipe Inner Diameter D 202.74 mm * :

Pipe Area A π D 2^* 4 / : cm 2^322.8262

Drainage Speed V Q A / : 2.0651 m s / *

2. HEADLOSS CALCULATIONS

Reynolds Number Calculation

Wet Perimeter L.w π D * : mm 636.9265

Hydraulic Diameter d.h 4 A L.w / * : mm 202.74

Reynolds Number R.e V d.h υ / * : 367775.5

Laminar Flow R.e 2300 < Turbulent Flow cases DarkGreen White WhiteFrame 1 4 mat

The roughness coefficient should be calculated according to the flow condition;

Turbulent Flow \[REGION[0]]\

1 λ sqrt / 2 2.51 R.e λ sqrt * / k d.h 3.72 * / + log * - ≡

Laminar Flow \[REGION[0]]\

λ 64 R.e / :

roughness Copper, Lead, Zinc, Aluminum 0.002 mm * 0.001 mm * PVC,PE or Other Plastic Pipes 0.007 mm * 0.0015 mm * Stainles Steel, Sandblasted 0.006 mm * 0.001 mm * Stainles Steel, Machined 0.006 mm * 0.0004 mm * Stainles Steel, Sandpapered 0.0008 mm * 0.0001 mm * General Fabrication Steel 0.09 mm * 0.045 mm * Rolled Steel Pipe 0.015 mm * 0.015 mm * Seamed Steel Pipe 0.045 mm * 0.045 mm * Galvanized Steel Pipe 0.15 mm * 0.15 mm * Rusted Steel Pipe 4 mm * 0.15 mm * New Casted Iron Pipe 0.8 mm * 0.25 mm * Worn Casted Iron Pipe 1.5 mm * 0.8 mm * Rusted Cast Iron Pipe 2.5 mm * 1.5 mm * Flat Iron Pipe 0.015 mm * 0.01 mm * Smooth Concrete Pipe 0.3 mm * 0.3 mm * Normal Cocnrete Pipe 1 mm * 0.3 mm * Rough Concrete Pipe 5 mm * 0.3 mm * Planed Wood 0.9 mm * 0.18 mm * Normal Wood 5 mm * 5 mm * 193 mat :

"Copper\002C\\0020\Lead\002C\\0020\Zinc\002C\\0020\Aluminum"
"PVC\002C\PE\0020\or\0020\Other\0020\Plastic\0020\Pipes"
"Stainles\0020\Steel\002C\\0020\Sandblasted"
"Stainles\0020\Steel\002C\\0020\Machined"
"Stainles\0020\Steel\002C\\0020\Sandpapered"
"General\0020\Fabrication\0020\Steel"
"Rolled\0020\Steel\0020\Pipe"
"Seamed\0020\Steel\0020\Pipe"
"Galvanized\0020\Steel\0020\Pipe"
"Rusted\0020\Steel\0020\Pipe"
"New\0020\Casted\0020\Iron\0020\Pipe"
"Worn\0020\Casted\0020\Iron\0020\Pipe"
"Rusted\0020\Cast\0020\Iron\0020\Pipe"
"Flat\0020\Iron\0020\Pipe"
"Smooth\0020\Concrete\0020\Pipe"
"Normal\0020\Cocnrete\0020\Pipe"
"Rough\0020\Concrete\0020\Pipe"
"Planed\0020\Wood"
"Normal\0020\Wood"

tax

k roughness tax 2 el : mm 0.045

R.e 2300 < λ 64 R.e / : λ 1 λ sqrt / 2 2.51 R.e λ sqrt * / k d.h 3.72 * / + log10 * - ≡ λ 01 solve : if

Pipe Type roughness tax 1 el Seamed Steel Pipe

Absolute Roughness k mm 0.045

Roughness Coefficient λ 0.0161

Friction Losses

It is assumed there will be \[REGION[136f0fb0d0854577b81f8d27b093ad0b]]\ elbow and \[REGION[b00806dee4fb43c38cd18ac962e61000]]\ valve in \[REGION[0b534f5821dc4ba399cdd9224039648c]]\ length pipe.

n 4 :

y 1 :

ΔL 20 m *

Inlet Loss K 1 el 0.2 V 2^2 g.e * / * :

K 1 el 0.0435 m *

Friction Loss K 2 el λ ΔL D / * V 2^2 g.e * / * :

K 2 el 0.3447 m *

Elbow Loss K 3 el n 15 λ * (* V 2^2 g.e * / * :

K 3 el 0.2097 m *

Valve Loss K 4 el y 0.19 * V 2^2 g.e * / * :

K 4 el 0.0413 m *

Outlet Loss K 5 el 1 V 2^2 g.e * / * :

K 5 el 0.2174 m *

Total Head Loss H.k K sum : 0.8566 m *

Minimum Pumping Head

Pumping Head ΔH 15 m *

Total Head Loss H.k 0.8566 m *

Minimum Pumping Head H.T H.k ΔH + : 15.8566 m *

3. PUMP MOTOR CALCULATION

Pump Flow Rate Q m 3^hr / 240

Pump Efficiency η % 75

Pumping Head H.T 15.8566 m *

Water Density ρ 1000 kg m 3^/ *

Gravity g.e 9.8066 m s 2^/ *

Total Pressure P H.T ρ * g.e * : bar 1.555

Pump Power PG Q P * η / : kW 13.8222

MG 0.25 kW 0.25 0.37 kW 0.37 0.55 kW 0.55 0.75 kW 0.75 1.1 kW 1.1 1.5 kW 1.5 2.2 kW 2.2 3 kW 3 4 kW 4 5.5 kW 5.5 7.5 kW 7.5 11 kW 11 15 kW 15 18.5 kW 18.5 22 kW 22 30 kW 30 37 kW 37 45 kW 45 55 kW 55 75 kW 75 90 kW 90 110 kW 110 132 kW 132 160 kW 160 200 kW 200 250 kW 250 315 kW 315272 mat :

i 1 MG rows range tmp MG i 2 el kW * : (PG < continue PG tmp : break 21 line if for

Electrical pump motor is selected as \[REGION[0]]\.

PG kW 15

4. CONCLUSION

In each of the two drainage pits, two pumps will be used, one as main and one as backup. The total required electrical power when one main pump in each pit working is calculated as \[REGION[7bf008cb62a24dfbac78ac3782bf80fe]]\. For worst case scenario power is calculated as \[REGION[0]]\ for all four pumps working together.

PG 2 * kW 30

PG 4 * kW 60

HEPP POWERHOUSE DRAINAGE PUMPS

ELECTRICAL MOTOR CALCULATIONS

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AUTHOR

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