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ELECTRICAL DEMAND AND POWER FACTOR
Many industrial electrical distribution
systems are being used in ways not foreseen by the designers.
These changes in use can cause some problems in energy consumption
and in safety. If a motor is operating at a lower voltage than it
was designed for, it is probably using more amperage than was intended
and is causing unnecessary losses in transmission lines. If
the wires are too small for the load, line losses can be large,
and fire hazards increase significantly. Other problems that
can create unnecessary energy loss are voltage imbalance in three-phase
motors and leaks from voltage sources to ground. Another problem
that may be costing money is a low power factor. The optimal
use of a plants' electrical use can reduce operating and production
costs. The following module containing the recommendations
below illustrates this energy savings potential.
General Rules of Thumb:
- The average cost of electricity is $0.05/kWh
($15/MMBtu)
- There are 2000 hours per year per shift
(based on the assumption that one shift is 8 hours per day,
5 days per week, 50 weeks per year)
- Switching from electric heat to
natural gas or #2 fuel oil can reduce heating costs by 78%
- Average cost savings for demand
reduction: By shifting an operation to off-peak hours,
the following savings are achieved: $75/Hp/year
- The average benefit of shifting
other electrical equipment to off-peak hours is: $120/kW/year
Notes:
Before choosing the following targeted recommendations READ THE
FOLLOWING:
Pay back estimates for the following recommendations will use the
equation below. They will vary depending on the, application,
type of installation, and purchase quantity of material and labor
associated with each recommendation. It will be up to the
person doing the analyses to use the URL references below each
equation to help estimate an implementation cost.
The data correlating to
the variables below each equation will be prompted for in order
to execute a calculation. Frequently the fuel cost (FC)
associated with the specific recommendation will be prompted for
in order to calculate the annual cost savings (ACS). Unless otherwise
specific to a particular recommendation the ACS will calculated
as follows:
- Optimize plant
power factors
- Install demand
controller/load shedder
- Install power
factor controllers on motors
- Reduce transformer
capacity
- Check accuracy
of power meter
- Reduce rates
- Take advantage
of utility controlled power management for price reduction
- Reduce late fees
- Install efficient
rectifiers
1. Optimize plant power factors
The power
factor is the ratio between the resistive component of AC power
and the total (resistive and inductive) power supplied.
The installation of capacitors to improve power factor will reduce
utility demand charges. There will also be some additional savings
from the reduced in-plant power line losses (improving the power
factor results in a proportionally decreased current, and thus
a reduction in the line power losses, which are proportional to
the square of the current). There will be no energy savings from
the reduction in utility demand charge. Since it costs more to
provide electricity with a low power factor it is common for electrical
utilities to make an additional charge if the power factor is
less than some value (typically 0.90). Equipment that contributes
to a low power factor includes welding machines, induction motors,
power transformers, electric arc furnaces, and fluorescent light
ballasts. The following equation shows the utility savings that
can occur.
Power
Engineering Books
Thomas Register
NEMA
AUCS = annual utility cost savings, $
KVA1 = current average monthly billing demand, KW/month
= KW/PFc (average kilowatt demand/current power factor)
KVA2 = anticipated average monthly billing demand, KW/month
= KW/PFa (average kilowatt demand/anticipated power factor)
DC = demand charge, $/KW
MY = months per year demand is charged
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ALCS = annual line cost savings, $
PFc = current power factor
PFa = anticipated power factor
LLP = line loss percentage (decision made by plant personnel)*
KWH = plant energy consumption per year, KWhr/yr (from
utility bills)
AEC = yearly average energy charge, $/KWhr (from utility
bills)
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* A conservative estimate is an average of a
2.5% power loss in the plant wiring, since accepted practice calls
for allowing a maximum of a 5% voltage drop to any machine in
the plant.
2. Install demand
controller/load shedder
Install demand
controller or load shedder to limit peak demand. There will be
no energy savings since demand is shifted, not reduced.
The following equation shows the savings that can be achieved.
Power
Engineering Books
Thomas Register
NEMA
DS = demand savings, KW
DC = demand charge, $/KW
MY = months per year savings will occur
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3. Install power
factor controllers on motors
Power factor controllers
when properly installed on AC motors will reduce reactive currents
produced by the quality of the AC power (ie how much the current
leads or lags the voltage supplied). The power loss from
the reactive currents does no useful work and contributes to energy
losses. The size of power factor controllers for T-frame
motors may be higher than those of U-frame motors of the same
horsepower, speed and design. Typically the power
factor for T-frame motors is less than that of U-frame motors.
The following equation illustrates the potential savings that
can be derived when the installation of a power factor controller
is considered.
Power
Engineering Books
NEMA
Thomas Register
PFLKW = Present Full Load KW = HP
x CON x 1/PME
HP = motor horsepower
CON = conversion factor, 0.746 KW/hp
PME = present full load motor efficiency (choose Motor
efficiency table for a value)
PIKW = Present Idling KW = PFLKW
x LF
LF = load factor at idling
NFLKW = New Full Load KW = HP x
CON x 1/NME
NME = new full load motor efficiency
NIKW = New Idling KW = PFLFW x NLF
NLF = new load factor at idling
FOH = operating hours at full load
IOH = operating hours of idling
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4. Reduce transformer
capacity
De-energize excess
transformer capacity to avoid utility charges; redistribute existing
loads to permit removal of under loaded transformers. Note:
consider power loss as well as initial loads and growth in sizing
transformers.
Transformers have substantial continuing no-load
losses, related to the primary side voltage, so they incur power
losses on the basis of their full load rating (ref.- South Carolina
Energy Conservation Manual, Governor's Division of Energy Agriculture
and Natural Resources). The following equation illustrates
the potential energy savings that can be achieved.
Power
Engineering Books
Thomas Register
NEMA
RC = rated capacity, KW
NL = fractional loss with no load*
OT = off time for transformers, hrs/yr
* According to "Kent's Mechanical Engineers
Handbook, 12th Edition", the no load loss of transformers is between
0.3% of the rated capacity for small power transformers (500 kVA
and more) and 1% for small distribution transformers (500 kVA
and less).
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5. Check accuracy
of power meter
The accuracy of
a power meter can be an underlying reason why a particular trend
of unknown energy loss has occurred in a manufacturing plant
The following equations are used to determine the annual cost
savings with the installment of an accurate metering device.
Power
Engineering Books
Thomas Register
NEMA
ED = excess demand due to meter error
(KW)*
RU = rate per unit of electrical power, ($/KW)
*User demand can be calculated from a watt-hour meter
using the following formula:
Kh = gearing ratio between disk rotation
and movement of hands on the meter
M = product of the ratio of current or potential transformers,
if in use
R = number of disk revolutions measured in time T
T = time in seconds
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6. Reduce rates
Reduce rates and/or
restructure rate schedules or make other changes in electric service
in order to obtain lowest possible rates. The following
equation illustrates the potential savings that can occur when
rate schedule changes are made to obtain the least possible rates.
Power
Engineering Books
Thomas Register
DS = demand shifted (amount of KW saved)
DC = demand cost, $/KW (from electric bills or utility)
MY = months per year
LF = average load factor over operating hours
OH = operating hours shifted from on-peak to off-peak,
per year (due to demand shift)
EC = differential electric cost between on-peak and off-peak
hours, $/KWhr
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7. Take advantage
of utility controlled power management for price reduction,
Capitalize
on interruptable Rate Schedules (non-critical loads placed under
control of utility in exchange for lower rates). The following
equation illustrates the monetary savings that can be achieved.
Power
Engineering Books
Thomas Register
TD = total demand affected, KW
DR = difference in rates, $/KW (contact utility)
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8. Reduce late fees
Pay utility bills on
schedule to avoid late fees. Annual cost savings will equal the
amount which would have been paid as late fees. The following
equation provides an insight to the potential savings that can
be achieved.
Power
Engineering Books
Thomas Register
NB = original billed amount, $ (from
utility bill)
PLC = percent charged as late fees (from utility bill)
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9. Install efficient
rectifiers
Install efficient rectifiers
in place of existing rectification or DC generating equipment
The following equation shows the savings that can be achieved.
Power
Engineering Books
Thomas Register
NEMA
HP = total power rating of connected
motors, HP
CON = conversion factor, 0.746 KW/HP
HY = operating hours per year
hc = current average efficiency of all connected
motors, (click Motor efficiency
table for a value)
ha = anticipated average efficiency
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