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Power supply quality
                   in buildings
                             RCREEE Energy Audit in Building
                               Tunis, 1st – 5th June 2010




Muhieddin Tawalbeh -   National Energy Research Center
Content
1.   Introduction to power systems
2.   Generation & distribution
3.   Phase of electricity
4.   Power factor
5.   Power Quality
6.   Transformers
7.   Load Management
8.   Case Studies
introduction
• Development can be measured by a
  nation’s electricity consumption
• Electricity usage is divided into:
   a) Industrial
   b) Commercial and residential
   c) Agriculture and irrigation

• Electricity important input for
  industry
International Energy Agency predicts
   for 2030:
• 78% of population in developing
  countries has access to electricity
• 1.4 billion people no access
• 665 billion US$ needed to overcome
  this
• How can electricity supply shortage
  be solved?
  a) Renovation and modernization of plants,
     transmission and distribution systems
  b) Demand side management with the
     utilization of energy efficiency
     technologies
  c) Awareness raising among energy users
Generation & Distribution
• Electricity generation: fossil fuels and
  uranium
• Renewable energy is growing
Generation & Distribution
• AC generators (“alternators”) generate
  electricity
   • Electricity generated at 9-13 KV
   • Power generated from 67.5 to 1000 MW

• Power stations: generating transformers
  (GTs) to increase voltage to 132-400 KV
• Substations: step-down transformers to
  reduce voltage before distribution
Phase of Electricity
Single phase AC circuit:
• Two wires connected
   to electricity source
• Direction of current
   changes many times
   per second


Three phase systems:
• 3 lines with electricity from 3 circuits
• One neutral line
• 3 waveforms offset in time: 50-60 cycles/second
Power
                               Resistive




0
              180        360        Time

    Voltage



               Current
Power

                            Inductive




0
               180    360               Time

    Voltage



          Current
Power
   Voltage                       Capacitive

Current




             0
                 180       360                Time
Phase of Electricity

    Star connection




                      Delta connection
Active and Reactive Power
• Active power (kW): real power used
• Reactive power (kVAR): virtual power that
  determines load/demand
• Utility pays for total power (kVA)




                               kVA = √ (KW)22+ (KVAR)22
                                kVA = √ (KW) + (KVAR)
Power Factor Correlation
Power Factor Correction
                                                                            A
                                                                          kV




                                                                                pow er kVAR
                                                                        r
                                                                   we




                         reactive pow er kVAR
                                                               t po




                                                                                reactive
                 A                                    r   en
             r kV                               ap
                                                   pa
          owe
        tp                                                φ
      en                                                                  φ’
  par
ap




                                                                                pow er kVAR
                                                                                capacitative
                                                      active pow er [kW]
     φ

    active pow er [kW]




  kVAr Rating = kW [tan φ1 – tan φ2]
PF Correction: Capacitors
• kVAR demand should be as low as
  possible for the same kW output
PF Correction:
Capacitors
• Act as reactive
  power
  generators
• Reduce reactive
  power
• Reduce total
  power generated
  by the utilities
PF Correction: Capacitors

Advantages for company:
•   One off investment for capacitor
•   Reduced electricity costs:
    •   Total demand reduced
    •   No penalty charges
•   Reduced distribution losses
•   Increased voltage level at load end, improved
    motor performance
PF Correction: Capacitors

   Advantages for utility:
   •   Reduced reactive component of network
   •   Reduced total current in the system from
       the source end
   •   Reduced I2R power losses
   •   Reduced need to install additional
       distribution network capacity
A major concern arising from the use of capacitors in a
power system is the possibility of system resonance.
Original power factor




                        kW capacity increase(%)
•Location capacitor is energized only when motor is in circuit
•Maximum benefit of for C1C installation by starter or operation
C1B,C1A C1A, C1B and new are installation locating them as
C1A is recommended capacitors is derived
 C1B is recommended for existing after motor
breaker where noto the load.
 close as possible extra switches are needed.

                                                          C4
                             Breaker      Fuse
      Transformer

                                               MAIN DISTRIBUTION


                                                          Switch


                                                                Local Distrib.
               S            S             S
                                C1C
                                                     C2    Motor overload
                                                          Thermal protection

                    C1B

              M             M              M
      C1A                                                                      C3
         . Power Distribution Diagram illustrating Capacitor Location
Power Factor Cable Losses


* Cable losses are in the range of 2%- 4%
  for most plants
*Invest in large size cables than required by
 thermal capacities.
*Installation of capacitors at distribution panels
 reduces cable losses.
ECONOMICS AND EFFICIENCY OF WIRE UPSIZING



•Wire upsizing is often overlooked as an electricity saving opportunity

•Electrical Codes specify only minimum wire sizing

•Allows for greater flexibility for future expansion

•Three factors effecting economics of wire upsizing
      •Duty factor
      •Electricity price
      •Load factor(I2R)
Example


     50 kW, 380V, 50 Hz, 3Phase
     Power factor 0.65
     feeder length 200 meter
     cross section of cable 35mm
     operating times 570 hrs/month
     price of electricity 35fils
What is the saving potential if power factor is improved to .85 due to
heat loss
What is the kVar of the capacitors required. what is the payback
period
Solution



  1) Cost of energy consumed = 50 × 570 ×12 × 0035 =11970JD
                                               .
  2) Savings in heat losses
                              50000
   I (p.f=0.65)   =        3 × 380 × 0.65   = 116.8 Amp

                              50000
   I (p.f=0.85)   =
                           3 × 380 × 0.85 =89.373 Amp

   Cable Resistance per Phase:(for 35mm2 cable, R=.0005 Ω/m)

   Total cable resistance = .0005 × 200= 0 .1 Ω
* When (p.f=.65) =3RI2 =3 × 0.1 × (116.8)2 = 4.0926 kW

  * When (p.f=.85) =3RI2 =3 × 0 .1 × (89.373)2 =2.396 kW

savings from heat losses = 4.0926-2.396 = 1.6966 kW

Annual saving from heat losses = 1.6966 ×570 ×12 = 11604.744 kW
                               = 11604.744 × 0.035= 406.166 J.D
 Which equals to 3.39% from the total energy consumption
Capacitor size required to give the needed P.F
         correction (.65-.85):

           C KVAR = KW (tan θ1 - tan θ 2 )
                                       ⇒
    = Cos-1 (P.F) =Cos-1 (0.65)= 49.458 Tan Θ1 = 1.1691

= Cos-1(p.F) =Cos-1(0.85)=31.880 ⇒       TanΘ 2 = 0.6197

   Cap. size = 50 (1.169 - 0.6197) = 27.5 kvar

 If we assume the price of one kvar     = 20 J.D then,
 Total price of capacitors              = 20 ×27 = 540 J.D

 This means a simple payback period of only 2.36 month. And by all
economical measures, the use of capacitors to improve the power factor is
economically viable.
Power Quality

An ideal power system is one which has voltage
current and frequency at every point constant no
interference of one load with other, unity power
factor and sinusoidal voltage and current waves.

None of these conditions are fulfilled in practice
What is power quality?

Power quality broadly refers to the delivery of a
sufficiently high grade of electric service
In general, it involves maintaining a steady state
sinusoidal load bus voltage at stipulated magnitude
and frequency
While there is no implied limitation on the voltage
rating of the power system being monitored, signal
inputs to the instruments are limited to 1000 VAC
rms or less.
The frequency ratings of the ac power systems being
monitored are in the range of 45-450 Hz.
Why is power quality important?


  It affects both utilities as suppliers and
  customers as users.
Impact on customer side
  Computers, servers, Transmitters and Receiver
  are susceptible to power system disturbances
  which can lead to loss of data and erratic
  operation
  Automated manufacturing process such as
  paper-making machinery, chip-making assembly
  lines, etc. can shutdown in case of even short
  voltage sags.
Impact on utility side


Failure of power-factor correction capacitors
due to resonance conditions.
Interference with ripple control and power
line carrier systems used for remote
switching, load control, etc.,
Error in energy meters, which are calibrated
to operate under sinusoidal conditions.
The normal power quality problems are:



1   Transient
2   Flicker
3   Sag and Swell
4   Imbalance between the phases
5   Electromagnetic Interference
6   Waveform distortion
Typical Power Quality problems

                      Transients
                      •Capacitor Cycling
                      •Lighting




                      Harmonics
                      •Rectifiers
                      •Switching Power Supplies
                      •Fluorescent Lighting




                      Frequency Deviating
                      •System dynamics
Typical Power Quality problems
                 Sags
                 •Turn on of heavy Loads
                 •Brown- outs


                 Swells

                 •Turn-off of heavy loads

                 Outages

                 •Faults

                                            34
35
Harmonics


Harmonics are sinusoidal voltage or currents having
frequencies that are integer multiples of the
frequency at which the supply system in designed to
operate (50 Hz or 60 Hz).
Fundamental
                                   Combined Waveform




5 th,7th,11th,and 13th harmonics
Harmonic Distortion


Caused by non-linear devices

current not proportional to applied voltage

Even for perfectly sinusoidal voltage, current is
distorted.
Harmonic Vs. transients

Harmonics are a steady state phenomenon where
as transient lasts less than a few cycles.
Transients and other short term disturbances like
over voltage surges and under voltage sags can be
mitigated by transient voltage surge suppressors,
line reactors or insulation transformers.
Harmonic Generating Sources

Non linear loads generate harmonics. A non linear load is a
circuit element that draws current in a non-sinusoidal
manner.
    AC & DC Drives
   Switch mode power supply
   Rectifiers, inverters and large UPS system
   Arc furnace, induction furnace and welding units
   Saturated reactors and transformer
   CNC machine and PLCs
   Smoothing chokes, PCs, Copiers and all single phase
   electronic equipment.
Energy losses due to Harmonics



Conductor losses : due
 ∗ High frequency harmonic current causes skin effect.
 ∗ Leads to increased resistance & losses.

 ∗ Reduces the capacity of utilization.

Heating effect in transformer, motor and other wound
equipments.
Iron losses.
   Increases losses in ferromagnetic materials.
   Increased aging.
Electrical Load Management

What is Load Management?
Action taken to improve power demand at time of
peak loads and to shift some of the load to off-
peak times.
Shifting use of electricity from periods of high
demand to periods of lower demand, when the cost
of electricity usually is lower.
load management attempts to shift load from peak
use periods to low use periods.
Electrical Load Management
     • Goal: reduce maximum electricity demand
       to lower the electricity costs
     • Load curve predicts patterns in demand




                         KVA




Daily load curve of an
engineering industry

                                   Hours
Electrical Load Management
Strategies to manage peak load demand:
•   Shift non-critical / non-continuous process
    loads to off-peak time
•   Shed non-essential loads during peak time
•   Operate in-house generation or diesel
    generator (dg) sets during peak time
•   Operate AC units during off-peak times and
    utilize cool thermal storage
•   Install power factor correction equipment
Peak Clipping

kw
 ‫واط‬   ‫آ‬




                 ‫اﻝ‬

                      Time
Load shifting



kW




                     Time
Conservation


KW




           Time
Load Management &
               Maximum Demand Control

 •Aims at Improving Load Factor
                                  Average Demand
Load Factor (monthly and annual) = Peak Demand
Example:
Compute monthly Load Factor
Peak kW = 1250 kW
Energy Use = 500,000 kW
Time = 720 hr

LF =        500,000 kW = 55.6%
         1250kW * 720hr

•To improve Load factor it is necessary to reduce
 peak demand which may be occurring for short periods
Electricity Billing Mechanism

•   Demand
    measured in
    time intervals
•   Maximum
    demand is
    highest reading
•   Customer
    charged on
    highest
    maximum
    demand value!
                      A Typical Demand Curve
P




           i
    60
      pi
    ∑ 60
    1
Power(kW)



            1000


             500



              0
                   10    20   30          Time(m)

             P = (20×1000) + (20×500) + 0 = 500
                            60
A) New Pulper T company newly installed line has a Pulper.
               - he
By insuring that only one Pulper (the new or the old) is
operating during the peak period, about J.D 3250.00 annually
can be saved. Details of the savings are given below:


Measured Demand for Pulper:           90 kW

Annual PD Charges Savings:            3294.00 JD/yr.
(based on 3.05 JD/kW MD Charges)
Well Pump Motor-

The pump operate manually and without and control. The motor
was measured to consume 33.3 kWh and by insuring that the
motor will not run during the Peak Demand Period an estimated
1218.8 JD/yr.. can be saved:

Measured Demand for Pulper:           33.3 kW

Annual PD Charges Savings:            1218.00 JD/yr..
(based on 3.05 JD/kW MD Charges)
Transformer
•    Static electrical device that
     transforms electrical energy
     from one voltage level to
     another
•    Two or more coils linked
     magnetically but electrically
     insulated

•   Turns Ratio: turns on 2nd coil (connected to load)
                    turns on 1st coil (connected to power source)
Copper loss

Cu at any load= (x)2 × Cu at full load

  where (x):ratio of actual load


Cu at half -load = (1/2) × Cu at full-load
                       2
Maximum efficiency occur only when




          Iron loss = Copper loss

                                                    Iron loss
          load at maximum efficiency = Full load ×
                                                   F . L. Cu loss

                                             x × full load KVA× P .F
Efficiency at any load =
                           ( x × full load KVA× P .F ) + Iron loss + Cu loss × ( x ) 2 × 100
Transformer Losses & Efficiency
                  PTOTAL ==PNO-LOAD++(% Load/100)2 2 xPLOAD
                   PTOTAL PNO-LOAD (% Load/100) x PLOAD
                  PTOTAL ==PNO-LOAD++(Load KVA/Rated KVA)2 2 xPLOAD
                   PTOTAL PNO-LOAD (Load KVA/Rated KVA) x PLOAD




        Transformer loss versus percent loading

•   Transformer losses: constant and variable
•   Best efficiency: load where constant loss = variable loss
Thank You

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Power supply quality and efficiency optimization

  • 1. Power supply quality in buildings RCREEE Energy Audit in Building Tunis, 1st – 5th June 2010 Muhieddin Tawalbeh - National Energy Research Center
  • 2. Content 1. Introduction to power systems 2. Generation & distribution 3. Phase of electricity 4. Power factor 5. Power Quality 6. Transformers 7. Load Management 8. Case Studies
  • 3. introduction • Development can be measured by a nation’s electricity consumption • Electricity usage is divided into: a) Industrial b) Commercial and residential c) Agriculture and irrigation • Electricity important input for industry
  • 4. International Energy Agency predicts for 2030: • 78% of population in developing countries has access to electricity • 1.4 billion people no access • 665 billion US$ needed to overcome this
  • 5. • How can electricity supply shortage be solved? a) Renovation and modernization of plants, transmission and distribution systems b) Demand side management with the utilization of energy efficiency technologies c) Awareness raising among energy users
  • 6. Generation & Distribution • Electricity generation: fossil fuels and uranium • Renewable energy is growing
  • 7. Generation & Distribution • AC generators (“alternators”) generate electricity • Electricity generated at 9-13 KV • Power generated from 67.5 to 1000 MW • Power stations: generating transformers (GTs) to increase voltage to 132-400 KV • Substations: step-down transformers to reduce voltage before distribution
  • 8. Phase of Electricity Single phase AC circuit: • Two wires connected to electricity source • Direction of current changes many times per second Three phase systems: • 3 lines with electricity from 3 circuits • One neutral line • 3 waveforms offset in time: 50-60 cycles/second
  • 9. Power Resistive 0 180 360 Time Voltage Current
  • 10. Power Inductive 0 180 360 Time Voltage Current
  • 11. Power Voltage Capacitive Current 0 180 360 Time
  • 12. Phase of Electricity Star connection Delta connection
  • 13. Active and Reactive Power • Active power (kW): real power used • Reactive power (kVAR): virtual power that determines load/demand • Utility pays for total power (kVA) kVA = √ (KW)22+ (KVAR)22 kVA = √ (KW) + (KVAR)
  • 15. Power Factor Correction A kV pow er kVAR r we reactive pow er kVAR t po reactive A r en r kV ap pa owe tp φ en φ’ par ap pow er kVAR capacitative active pow er [kW] φ active pow er [kW] kVAr Rating = kW [tan φ1 – tan φ2]
  • 16. PF Correction: Capacitors • kVAR demand should be as low as possible for the same kW output
  • 17. PF Correction: Capacitors • Act as reactive power generators • Reduce reactive power • Reduce total power generated by the utilities
  • 18. PF Correction: Capacitors Advantages for company: • One off investment for capacitor • Reduced electricity costs: • Total demand reduced • No penalty charges • Reduced distribution losses • Increased voltage level at load end, improved motor performance
  • 19. PF Correction: Capacitors Advantages for utility: • Reduced reactive component of network • Reduced total current in the system from the source end • Reduced I2R power losses • Reduced need to install additional distribution network capacity A major concern arising from the use of capacitors in a power system is the possibility of system resonance.
  • 20. Original power factor kW capacity increase(%)
  • 21. •Location capacitor is energized only when motor is in circuit •Maximum benefit of for C1C installation by starter or operation C1B,C1A C1A, C1B and new are installation locating them as C1A is recommended capacitors is derived C1B is recommended for existing after motor breaker where noto the load. close as possible extra switches are needed. C4 Breaker Fuse Transformer MAIN DISTRIBUTION Switch Local Distrib. S S S C1C C2 Motor overload Thermal protection C1B M M M C1A C3 . Power Distribution Diagram illustrating Capacitor Location
  • 22. Power Factor Cable Losses * Cable losses are in the range of 2%- 4% for most plants *Invest in large size cables than required by thermal capacities. *Installation of capacitors at distribution panels reduces cable losses.
  • 23. ECONOMICS AND EFFICIENCY OF WIRE UPSIZING •Wire upsizing is often overlooked as an electricity saving opportunity •Electrical Codes specify only minimum wire sizing •Allows for greater flexibility for future expansion •Three factors effecting economics of wire upsizing •Duty factor •Electricity price •Load factor(I2R)
  • 24. Example 50 kW, 380V, 50 Hz, 3Phase Power factor 0.65 feeder length 200 meter cross section of cable 35mm operating times 570 hrs/month price of electricity 35fils What is the saving potential if power factor is improved to .85 due to heat loss What is the kVar of the capacitors required. what is the payback period
  • 25. Solution 1) Cost of energy consumed = 50 × 570 ×12 × 0035 =11970JD . 2) Savings in heat losses 50000 I (p.f=0.65) = 3 × 380 × 0.65 = 116.8 Amp 50000 I (p.f=0.85) = 3 × 380 × 0.85 =89.373 Amp Cable Resistance per Phase:(for 35mm2 cable, R=.0005 Ω/m) Total cable resistance = .0005 × 200= 0 .1 Ω
  • 26. * When (p.f=.65) =3RI2 =3 × 0.1 × (116.8)2 = 4.0926 kW * When (p.f=.85) =3RI2 =3 × 0 .1 × (89.373)2 =2.396 kW savings from heat losses = 4.0926-2.396 = 1.6966 kW Annual saving from heat losses = 1.6966 ×570 ×12 = 11604.744 kW = 11604.744 × 0.035= 406.166 J.D Which equals to 3.39% from the total energy consumption
  • 27. Capacitor size required to give the needed P.F correction (.65-.85): C KVAR = KW (tan θ1 - tan θ 2 ) ⇒ = Cos-1 (P.F) =Cos-1 (0.65)= 49.458 Tan Θ1 = 1.1691 = Cos-1(p.F) =Cos-1(0.85)=31.880 ⇒ TanΘ 2 = 0.6197 Cap. size = 50 (1.169 - 0.6197) = 27.5 kvar If we assume the price of one kvar = 20 J.D then, Total price of capacitors = 20 ×27 = 540 J.D This means a simple payback period of only 2.36 month. And by all economical measures, the use of capacitors to improve the power factor is economically viable.
  • 28. Power Quality An ideal power system is one which has voltage current and frequency at every point constant no interference of one load with other, unity power factor and sinusoidal voltage and current waves. None of these conditions are fulfilled in practice
  • 29. What is power quality? Power quality broadly refers to the delivery of a sufficiently high grade of electric service In general, it involves maintaining a steady state sinusoidal load bus voltage at stipulated magnitude and frequency While there is no implied limitation on the voltage rating of the power system being monitored, signal inputs to the instruments are limited to 1000 VAC rms or less. The frequency ratings of the ac power systems being monitored are in the range of 45-450 Hz.
  • 30. Why is power quality important? It affects both utilities as suppliers and customers as users. Impact on customer side Computers, servers, Transmitters and Receiver are susceptible to power system disturbances which can lead to loss of data and erratic operation Automated manufacturing process such as paper-making machinery, chip-making assembly lines, etc. can shutdown in case of even short voltage sags.
  • 31. Impact on utility side Failure of power-factor correction capacitors due to resonance conditions. Interference with ripple control and power line carrier systems used for remote switching, load control, etc., Error in energy meters, which are calibrated to operate under sinusoidal conditions.
  • 32. The normal power quality problems are: 1 Transient 2 Flicker 3 Sag and Swell 4 Imbalance between the phases 5 Electromagnetic Interference 6 Waveform distortion
  • 33. Typical Power Quality problems Transients •Capacitor Cycling •Lighting Harmonics •Rectifiers •Switching Power Supplies •Fluorescent Lighting Frequency Deviating •System dynamics
  • 34. Typical Power Quality problems Sags •Turn on of heavy Loads •Brown- outs Swells •Turn-off of heavy loads Outages •Faults 34
  • 35. 35
  • 36. Harmonics Harmonics are sinusoidal voltage or currents having frequencies that are integer multiples of the frequency at which the supply system in designed to operate (50 Hz or 60 Hz).
  • 37. Fundamental Combined Waveform 5 th,7th,11th,and 13th harmonics
  • 38. Harmonic Distortion Caused by non-linear devices current not proportional to applied voltage Even for perfectly sinusoidal voltage, current is distorted.
  • 39. Harmonic Vs. transients Harmonics are a steady state phenomenon where as transient lasts less than a few cycles. Transients and other short term disturbances like over voltage surges and under voltage sags can be mitigated by transient voltage surge suppressors, line reactors or insulation transformers.
  • 40. Harmonic Generating Sources Non linear loads generate harmonics. A non linear load is a circuit element that draws current in a non-sinusoidal manner. AC & DC Drives Switch mode power supply Rectifiers, inverters and large UPS system Arc furnace, induction furnace and welding units Saturated reactors and transformer CNC machine and PLCs Smoothing chokes, PCs, Copiers and all single phase electronic equipment.
  • 41. Energy losses due to Harmonics Conductor losses : due ∗ High frequency harmonic current causes skin effect. ∗ Leads to increased resistance & losses. ∗ Reduces the capacity of utilization. Heating effect in transformer, motor and other wound equipments. Iron losses. Increases losses in ferromagnetic materials. Increased aging.
  • 42. Electrical Load Management What is Load Management? Action taken to improve power demand at time of peak loads and to shift some of the load to off- peak times. Shifting use of electricity from periods of high demand to periods of lower demand, when the cost of electricity usually is lower. load management attempts to shift load from peak use periods to low use periods.
  • 43. Electrical Load Management • Goal: reduce maximum electricity demand to lower the electricity costs • Load curve predicts patterns in demand KVA Daily load curve of an engineering industry Hours
  • 44. Electrical Load Management Strategies to manage peak load demand: • Shift non-critical / non-continuous process loads to off-peak time • Shed non-essential loads during peak time • Operate in-house generation or diesel generator (dg) sets during peak time • Operate AC units during off-peak times and utilize cool thermal storage • Install power factor correction equipment
  • 45. Peak Clipping kw ‫واط‬ ‫آ‬ ‫اﻝ‬ Time
  • 48. Load Management & Maximum Demand Control •Aims at Improving Load Factor Average Demand Load Factor (monthly and annual) = Peak Demand Example: Compute monthly Load Factor Peak kW = 1250 kW Energy Use = 500,000 kW Time = 720 hr LF = 500,000 kW = 55.6% 1250kW * 720hr •To improve Load factor it is necessary to reduce peak demand which may be occurring for short periods
  • 49. Electricity Billing Mechanism • Demand measured in time intervals • Maximum demand is highest reading • Customer charged on highest maximum demand value! A Typical Demand Curve
  • 50. P i 60 pi ∑ 60 1
  • 51. Power(kW) 1000 500 0 10 20 30 Time(m) P = (20×1000) + (20×500) + 0 = 500 60
  • 52. A) New Pulper T company newly installed line has a Pulper. - he By insuring that only one Pulper (the new or the old) is operating during the peak period, about J.D 3250.00 annually can be saved. Details of the savings are given below: Measured Demand for Pulper: 90 kW Annual PD Charges Savings: 3294.00 JD/yr. (based on 3.05 JD/kW MD Charges)
  • 53. Well Pump Motor- The pump operate manually and without and control. The motor was measured to consume 33.3 kWh and by insuring that the motor will not run during the Peak Demand Period an estimated 1218.8 JD/yr.. can be saved: Measured Demand for Pulper: 33.3 kW Annual PD Charges Savings: 1218.00 JD/yr.. (based on 3.05 JD/kW MD Charges)
  • 54. Transformer • Static electrical device that transforms electrical energy from one voltage level to another • Two or more coils linked magnetically but electrically insulated • Turns Ratio: turns on 2nd coil (connected to load) turns on 1st coil (connected to power source)
  • 55. Copper loss Cu at any load= (x)2 × Cu at full load where (x):ratio of actual load Cu at half -load = (1/2) × Cu at full-load 2
  • 56. Maximum efficiency occur only when Iron loss = Copper loss Iron loss load at maximum efficiency = Full load × F . L. Cu loss x × full load KVA× P .F Efficiency at any load = ( x × full load KVA× P .F ) + Iron loss + Cu loss × ( x ) 2 × 100
  • 57. Transformer Losses & Efficiency PTOTAL ==PNO-LOAD++(% Load/100)2 2 xPLOAD PTOTAL PNO-LOAD (% Load/100) x PLOAD PTOTAL ==PNO-LOAD++(Load KVA/Rated KVA)2 2 xPLOAD PTOTAL PNO-LOAD (Load KVA/Rated KVA) x PLOAD Transformer loss versus percent loading • Transformer losses: constant and variable • Best efficiency: load where constant loss = variable loss