Online calculation of centrifugal pump power

 How do you calculate the Hydraulic power, shaft power and motor power of a centrifugal pumps?

Inputs needed:

• Pump flow
• Pump suction lift and discharge head
• Fluid density
• Acceleration due to gravity
• Pump efficiency
• Motor efficiency

Hydraulic power, 

Is also called useful power or water horsepower, is the actual power imparted to the fluid by the pump. It depends on three primary parameters:

• Flow rate (Q) in m³/s

• Total head (H) in meters

• Fluid density (ρ) in kg/m³

• Acceleration due to gravity (g = 9.81 m/s²)

Phyd​=ρ×g×Q×H

Shaft Power: Is calculated as;

Pshaft​=Phyd / ηp (Pump efficiency)​​​

Motor Input Power (Electrical Power Consumption)

Pmotor​=Pshaft / ηm (Motor efficiency)

Read more>>>>Powerplant and calculations​​​

Centrifugal Pump Power Calculator

Flow (Q) in m³/sec Total Head (H) in meter Fluid Density (ρ) in kg/m³ Pump Efficiency (%) Motor Efficiency (%)

Online calculators for power plant

                         Online calculators for power plant 

Please click on specific requirements for online calculation

1-Online steam cost calculator

2-Desuper heating water flow online calculator

3-Online economiser efficiency calculator

4-Online APH efficiency calculator

5-Online ESP efficiency calculator

6-Online calculation of centrifugal pump power 

Online ESP efficiency calculator

 

Flue gas flow in ESP, Q = 61920 m3/hr / 3600 = 17.2 m3/sec

Total collecting area A= 131.9 X 17.2 =2268.68 m2

Migration velocity of dust particles, V = 5.46/100 = 0.0546 m/sec

Efficiency of ESP = 1–eˆ (-AV/Q) X 100

                            = 1– eˆ (-2268.68 X 0.0546/17.2) X 100

                   ηESP = 99.92%

Read more>>>>Power plant and calculations

Electrostatic Precipitator (ESP) Efficiency Calculator

Mass Flow of Flue Gas (m3/sec) Collecting Area (m²) Migration Velocity (cm/sec)

Online APH efficiency calculator

 

The efficiency of the APH are calculated from two ways one is from air side other from gas side.

APH gas side efficiency

ηAPHg = (Flue gas inlet temp.Tfi-Flue gas outlet temp.Tfo) X 100 / (Flue gas inlet temperature tfi-Air inlet temperature Tai)

APH air side efficiency

ηAPHa = (Air outlet temp.Tao-Air inlet temp.Tao)) X 100 / (Flue gas inlet temperature tfi-Air inlet temperature Tai)

 

Calculate the APH gas side & air efficiency if its flue gas inlet and out let temperature are 245 deg C and 155 deg C and air inlet and out let temperatures are 32 deg C & 173 deg C respectively.

APH Gas side efficiency calculation

ηAPHg = (Flue gas inlet temp.Tfi-Flue gas outlet temp.Tfo) X 100 / (Flue gas inlet temperature tfi-Air inlet temperature Tai)

 ηAPHg =(245-155) X 100 / (245-32)

ηAPHg = 42.25%

APH Air side efficiency calculation

ηAPHa = (Air outlet temp.Tao-Air inlet temp.Tao)) X 100 / (Flue gas inlet temperature tfi-Air inlet temperature Tai)

 ηAPHa = (173-32) X 100 / (245-32)

ηAPHa = 66.19%

 

Read more>>>>Power plant and calculations

APH Air-Side & Gas-Side Efficiency Calculator

Air Inlet Temperature (Tai) °C Air Outlet Temperature (Tao) °C Flue Gas Inlet Temperature (Tgi) °C Flue Gas Outlet Temperature (Tgo) °C

Online economiser efficiency calculator

 

Economiser efficiency is calculated as below.

ηEco. = (Economiser outlet feed water temperature Two-Economiser inlet feed water temperature Twi)  X 100 / (Economiser inlet flue gas temperature Tfi- Economiser inlet feed water temperature Twi)

Example:

Calculate the economiser effectiveness, whose feed water inlet & outlet temperatures are 150 Deg C & 220 Deg C respectively & flue gas inlet & outlet temperatures 385 deg C & 215 deg c respectively.

 Solution:

 Twi = 150 deg C

Two = 220 deg C

Tfi = 385 deg C

Tfo = 215 deg C

ηEco = (Two-Twi) X 100 / (Tfi-Twi)

ηEco = (220-150 ) X 100 / (385-150)

ηEco= 29.78%

Read more>>>>Powerplant and calculations

Boiler Economiser Efficiency Calculator

Enter all temperatures in degree Celsius (°C)

Feedwater Inlet Temperature (T_w,in) Feedwater Outlet Temperature (T_w,out) Flue Gas Inlet Temperature (T_g,in) Flue Gas Outlet Temperature (T_g,out)

Results

Temperature Rise in Water (ΔT_w): °C

Temperature Drop in Flue Gas (ΔT_g): °C

Economiser Efficiency: %

Formula Used:
Efficiency = (T_w,out − T_w,in) / (T_g,in − T_g,out) × 100

Desuper heating water flow online calculator

 

What is Desuperheating?

Desuperheating (or attemperation) is the process of reducing the temperature of super heated steam by injecting water. The injected water absorbs heat from the steam and evaporates completely, bringing the steam temperature closer to saturation or the specified outlet temperature.

Typical applications:

• Boiler outlet temperature control

• Turbine inlet temperature control

• HRSG and WHRB steam temperature regulation

• Process steam conditioning

Parameters Required for Calculating Desuperheating Water Flow

To determine the required spray water quantity, you need:

Steam Input Conditions

• Inlet steam pressure (P₁)

• Inlet steam temperature (T₁)

Steam Output Requirements

• Outlet steam pressure (P₂)

• Outlet steam temperature (T₂)

Water Conditions

• Desuperheating water temperature (Tᵥ)

Desuper heating water flow online calculator

Desuperheating Water Quantity Calculator

Calculates spray water required based on inlet & outlet steam pressure/temperature and water temperature.

Steam Mass Flow (kg/hr) Inlet Steam Pressure (bar) Inlet Steam Temperature (°C) Outlet Steam Pressure (bar) Outlet Steam Temperature (°C) Desuperheating Water Temperature (°C)

Online steam cost calculator

 

In power plant, calculation of cost of steam is very vital in commercial point of view. Following are the parameters which affect the cost of steam.

1.     Steam pressure

2.     Steam temperature

3.     GCV of fuel

4.     Price of fuel

5.     And Boiler efficiency

Following gives you the relation among steam cost & above all parameters & vice versa

• Steam cost increases as the enthalpy or heat content in steam increases and vice versa
• Steam cost increases as the GCV of fuel decreases and vice versa
• Steam cost increases as the fuel price increases & vice versa
• Steam cost increases as the Boiler efficiency decreases & vice versa

Understanding with examples.

1.Calculate the cost of steam per kg, which is been using for Steam turbine having pressure 121 kg/cm2 & temperature 550 deg C.The boiler of efficiency 75% uses coal of GCV 4200 kcal/kg to produce this steam.Cosnsider the price of coal is Rs 5000/MT

Enthalpy of steam at above pressure & temperature H = 830.43 kcal/kg

Boiler efficiency ⴖ_b= 75%

GCV of coal = 4200 kcal/kg

Now, cost of steam = Heat content in steam in kcal/kg  X Fuel price / (GCV of fuel in kcal/kg X Boiler efficiency ⴖ_b)

                                     = 830.43 X 5000 / (4500 X 0.75)

                                     = 1230.26 rupees / MT of steam or Rs 1.23 / kg of steam

 2.Calculate the cost of steam per kg, which is been using for chemical process plant having pressure 5 kg/cm2 & temperature 180 deg C.The boiler of efficiency 65% uses biomass of GCV 2800 kcal/kg to produce this steam.Cosnsider the price of biomass is Rs 2400/MT

 Enthalpy of steam at above pressure & temperature H = 670 kcal/kg

Boiler efficiency ⴖ_b= 65%

GCV of coal = 2800 kcal/kg

Now, cost of steam = Heat content in steam in kcal/kg X Fuel price / (GCV of fuel in kcal/kg X Boiler efficiency ⴖ_b)

                                     = 670 X 2400 / (2800 X 0.65)

                                     = 883.51 rupees / MT of steam or Rs 0.88 / kg of steam

Read more>>>>Powerplant and calculations

Steam Cost Calculator

Steam Pressure bar(g) MPa psig

Steam Temperature °C °F

Boiler Efficiency % fraction (0–1)

Fuel GCV kJ/kg kcal/kg MJ/kg MMBtu/ton

Fuel Cost ₹/kg ₹/ton ₹/MMBtu

Results:

Note: This tool estimates steam energy and cost based on simplified enthalpy equations. It does not consider feedwater temperature or full steam tables.