In the previous article calculating the cost of elements in a piping system (Pumps & Systems, July 2014), the energy consumed and power cost balanced exactly to demonstrate the process. Seldom is life that exact. In the real-world plant, instruments are subject to inaccuracy, pumps may be worn, estimates may be off or the full system may not be accurately represented in the design documents. This month’s article demonstrates how cross-validating the calculated results can ensure the energy cost balance sheet accurately reflects system operation. The key to validating the results is to use multiple means for arriving at the operating cost of each item in the energy cost balance sheet. If the energy cost balance sheet does not add up, troubleshooting skills need to be employed to discover the reason for the difference. This article will continue to use the example piping system presented in previous articles (see Figure 1).
08/29/2014
Figure 1. Drawing of sample piping system (Article graphics courtesy of the author.)
Figure 2. An example showing the effect internal leakage has on pump performance. Because of internal leakage, the installed pump is not operating as designed.
Using the calculated head difference of 235 feet (ft), the worn impeller gives a flow rate of less than the 4,000 gallons per minute (gpm) used in the previous energy system balance.
In addition, the efficiency of a worn impeller would differ from the manufacturer-supplied test curve.
This would result in inaccurate power consumption and operation costs calculations.
Operators have other options to determine the flow rate through the pump, including portable ultrasonic flow meters.
These meters provide a reasonably accurate flow measurement in a pipeline without physically changing the piping system.
If the observed flow rate on the temporary flow meter equals the value determined using the pump head and the pump curve, the flow rate is validated, and the efficiency is validated by association.
If a power meter is installed on the motor driving the pump, the measured kilowatt (kW) value can be compared to the calculated power consumed using the pumps flow, head and efficiency values as show in Equation 1, at the bottom of page.
If the power into the motor as read on its power meter is the same as the calculated power consumption using Equation 1, the pump’s flow, head and efficiency values are validated.
Where:
Q = flow rate in gpm
H = pump head in ft
ρ = fluid density lb/ft3
ηP = pump efficiency
ηM = motor efficiency
If a power reading is not available for the motor, the motor’s power consumption can be calculated by measuring the current and voltage supplied to the pump’s motor, then using Equation 2. The motor’s power factor can be read on its nameplate.
Where:
P3ϕMotor = motor power in kW
V = voltage volts
I = current amps
Pf = motor power factor
If the calculated value of motor power equals the pump’s power consumption, the pump flow, head and efficiency values are validated.