Last month’s column (*Pumps & Systems*, October 2014) described the collection of data when assessing a system with no control. In this column, the plant operating data will be used to determine a baseline of how much energy is used for the process. Personnel and outside experts can then look for ways to improve the system and minimize costs.

Assessments are based on the idea that a system was originally designed to meet a specific set of requirements, but during the design process, several unknowns were incorporated. Once a plant is operating, the unknown design factors become known, and the system can be improved.

This column explains how to perform the baseline calculations and develop the energy cost balance sheet to determine how energy is used by the system.

## Energy Cost Balance Sheet

During the system walk-down, the assessment team discovered that the operators continually operate Pump BTP-01. Once the batch tank fills, a bypass to Supply Tank BTS-01 automatically opens when all fill valves close to ensure that minimum flow is maintained through Pump BPT-01.

In previous columns, the energy cost balance sheet was discussed as a way to obtain the actual cost of operation for each item in the system. The energy cost balance sheet calculates the energy consumed by the pump to operate the system along with the energy consumed by the process and controls to make the product or provide the service. In this system, the system control consists of running the pump in the bypass mode when the tanks are not being filled.

The data collected during the assessment will be used during the calculations. This information is presented in Tables 1 and 2.

The first step is to determine how much energy is consumed to operate the system. Power consumed and cost for the power can then be determined. Each item in the system will be considered in different operating modes.

## Pumping Elements

The pumping power is calculated using Equation 1. Using the assessment data for filling Batch Tank 4 and with the manufacturer’s supplied data, Equation 1 can be used to calculate the power consumed by the batch pump in each operating mode.

Where:

P_{pump} = Pump power in

kilowatts (kW)

Q = flow rate in gallons per minute (gpm)

H = pump head in feet (ft) of fluid

ρ = fluid density in pounds per cubic foot (lb/ft^{3})

n_{p} = pump efficiency

n_{m} = motor efficiency

n_{vsd} = variable speed drive (VSD) efficiency (1 if no VSD is installed)

Because an electric motor drives the pump, the input power to the motor can be calculated using Equation 2 and the data collected from the assessment.

Where:

P_{3θmotor} = motor power (kW)

V = voltage volts

I = current amps

Pf = motor power factor

These are two independent methods for calculating the power used by the motor and pump. If the calculated power of the motor and pump are identical, the results have been cross validated.

## Calculating Pump & Motor Power Consumption

Using the operating data collected during the system assessment for filling Batch Tank 4 (Table 1) and Equation 1, one can determine the power requirement for the batch pump (see Equation 3).

The pump flow rate (Q) can be determined using the time required to fill Batch Tank 4. Because filling the 60,000-gallon batch tank took 40 minutes and 36 seconds (40.6 minutes), the calculated flow rate through the pump is 1,477 gpm.

The pump head is calculated by measuring the differential pressure across the batch transfer pump. The average differential pressure using the supplied data is 101.6 pounds per square inch differential (psid). With a fluid density of 62.4 lb/ft^{3}, the total pump head is 234.8 ft.

The pump and motor efficiency can also be determined. The pump efficiency is taken from the manufacturer’s pump curve. Given the pump’s impeller diameter (17.5 inches) and calculated flow rate (1,477 gpm) the pump’s efficiency from the pump curve is 76 percent. The motor efficiency of 94 percent was found on the motor nameplate.

The power supplied to the electric motor can be calculated using the motor voltage, current, efficiency and power factor (see Equation 2).

The power factor listed on the motor nameplate is 0.85. Based on the current and voltage readings from Table 1 for filling Batch Tank 4, the motor power consumption is calculated using Equation 4.