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    Competency Training and Certification Program in Electric Power Distribution System Engineering

    Certificate in

    Power System Modeling and Analysis

    T r a i n i n g Co u r s e i n

    Sy s t em Lo s s A n a l y s i s

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    2Training Course in System Loss Analysis

    O u t l i n e

    System Loss Segregation Process

    Distribution System Data

    Loss Segregation Results Single Feeder Analysis

    Substation Analysis

    Whole System Analysis

    Technical Loss Summary

    Distribution Transformer Losses Per DT Losses

    DT Connected Loads

    Bus Voltage

    Line Current

    Injected Current

    System Loss Segregation Process

    http://system%20loss%20segregation%20process.ppt/http://system%20loss%20segregation%20process.ppt/http://system%20loss%20segregation%20process.ppt/
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    3Training Course in System Loss Analysis

    D i s t r i b u t i o n Sy s t em D a t a

    From the gathered feeder data, well be ableto deduce important information of our

    system which will serve as the brain of allthe activities of the EC.

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    4Training Course in System Loss Analysis

    Distribution

    System

    Data

    Operations

    Data

    Planning

    Data

    Design

    Data

    Financial

    Data

    Load

    Data

    Reliability

    Data

    Substation

    Expansion

    Program

    Transformer

    Load

    Management

    Capacitor

    Al locat ion

    Program

    Tool

    Economic

    Cost Program

    Power

    Loss

    Program

    Protective

    Device

    Coordination

    Primary

    Voltage

    Selection

    Voltage

    Profile and

    Regulation

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    5Training Course in System Loss Analysis

    D i s t r i b u t i o n Sy s t em D a t a

    The gathered data can be summarized

    into a form such as the following:

    T i i C i S L A l i

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    6Training Course in System Loss Analysis

    D i s t r i b u t i o n Sy s t em D a t a

    ELECTRIC COOPERATIVE: NEA ELECTRIC COOPERATIVE

    DATE: FEBRUARY 7, 2005

    I. SUBSTATION

    Location:

    Capacity:Feeder No.:

    II. PRIMARY LINES (KM)

    3-phase:

    2-phase:1-phase:

    Phase A:

    Phase B:

    Phase C:

    Total Circuit KM:

    24.557

    17.676

    157.764

    38

    043.764

    1.531

    DISTRIBUTION SYSTEM DATA

    METRO MANILA

    1

    7T i i C i S t L A l i

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    7Training Course in System Loss Analysis

    D i s t r i b u t i o n Sy s t em D a t a

    III. DISTRIBUTION TRANSFORMERS (NO.)

    1-phase:

    10 kVA15 kVA

    25 kVA

    37.5 kVA

    50 kVA

    75 kVA

    2-phase Bank:

    2-10 kVA

    2-15 kVA

    2-25 kVA

    2-37.5 kVA

    3-phase Bank:

    3-10 kVA

    3-15 kVA

    3-25 kVA

    3-75 kVA

    3-100 kVA

    Total Number:

    6439

    45

    2

    0

    0

    1

    0

    2

    1

    2

    1

    1

    0

    0

    170

    8T i i C i S t L A l i

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    8Training Course in System Loss Analysis

    D i s t r i b u t i o n Sy s t em D a t a

    IV. SECONDARY LINES (KM)

    3-phase:

    2-phase:

    1-phase:

    Phase A:

    Phase B:

    Phase C:

    Total Circui t KM:

    V. SERVICE DROPS (KM)

    3-phase:

    2-phase:1-phase:

    Phase A:

    Phase B:

    Phase C:

    Total Circui t KM:

    0

    0

    95.758

    18.621

    40.198

    36.939

    95.758

    0.207

    0104.59

    30.2655

    37.4565

    36.868

    105.211

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    9Training Course in System Loss Analysis

    D i s t r i b u t i o n Sy s t em D a t a

    VI. CUSTOMER DATA

    Residential:

    Commercial:

    Industrial:

    Public Building:

    Street Lights:Total Number of Consumers:

    534654

    3790

    552

    56

    203

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    10Training Course in System Loss Analysis

    D i s t r i b u t i o n Sy s t em D a t a

    These data can be utilized by the ECfor the following purposes:

    Asset Management

    Various system studies such as

    Load FlowShort CircuitReliabilityCapacitor Placement

    Load ForecastingEtc.

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    11Training Course in System Loss Analysis

    Lo s s Se g r e g a t i o n Re su l t s

    AdministrativeLoss

    +

    Total Distribution

    System Losses

    =

    Energy Deliveredto the Distribution

    System

    EnergyDelivered to

    Users

    -

    Technical Loss Non-Technical Loss+

    Bundled Technical & Non-Technical Losses

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    12Training Course in System Loss Analysis

    Lo s s Se g r e g a t i o n Re su l t s

    Single Feeder Analysis

    Total Energy Consumption

    Input Metered Energy

    Input Metered Energy Total Energy Consumption = Total Loss

    Total Loss = Administrative Loss + Technical Loss + Non-Technical Loss

    Percent Loss (%) = (Loss/Input Energy) x 100 %

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    Training Course in System Loss Analysis

    Lo s s Se g r e g a t i o n Re su l t s

    Single Feeder Analysis

    SEGREGATED DISTRIBUTION SYSTEM LOSSES PER BILLING PERIODBilling Period: 30 days

    Metered Input Energy(Kwh): 781799 100.00%

    Total Consumption(Kwh): 594140.3 76.00%

    Total Losses(Kwh): 187658.7 24.00%Administrati ve Losses(Kw h): 0.0001 0.00%

    Technical Losses(Kwh): 31296.98 4.00%

    Non-Technical Losses(Kwh): 156361.7 20.00%

    NOTE:Losses must be with respect to the metered input energy and not on the

    computed input energy

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    Training Course in System Loss Analysis

    Lo s s Se g r e g a t i o n Re su l t s

    Substation Analysis

    F1

    F2

    F3

    NOTE:For Substation Analysis, we are required to have the purchased eFor Substation Analysis, we are required to have the purchased energy fornergy forthe whole substation.the whole substation.

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    g y y

    Lo s s Se g r e g a t i o n Re su l t s

    Substation Analysis

    F1

    F2

    F3

    Feeder No.

    Metered Input

    Energy (kWhr)

    Total Consumption

    (kWhr)

    Total Losses

    (kWhr)

    Percent Loss

    (per feeder)

    1 781,799.00 594,140.30 121,343.00 15.52

    2 568,230.00 345,612.00 88,942.00 15.65

    3 358,154.00 295,751.00 62,403.00 17.42

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    g y y

    Lo s s Se g r e g a t i o n Re su l t s

    Substation Analysis

    P e r Fe e d e r V a l u e s :

    Feeder No.

    Metered Input

    Energy (kWhr)

    Total Consumption

    (kWhr)

    Total Losses

    (kWhr)

    Percent Loss

    (per feeder)

    1 781,799.00 594,140.30 121,343.00 15.52

    2 568,230.00 345,612.00 88,942.00 15.653 358,154.00 295,751.00 62,403.00 17.42

    Pe r Fe e d e r Co n t r i b u t i o n t o Su b s t a t i o n L o s s :

    Feeder Loss Contribution =

    Feeder Loss (kwhr)

    Substation Energy

    Purchased (kwhr)

    X 100 %

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    g y y

    Lo s s Se g r e g a t i o n Re su l t s

    Substation Analysis

    Pe r Fe e d e r Co n t r i b u t i o n t o Su b s t a t i o n L o s s :

    2,000,000.00

    FeederTotal Losses

    (kWhr)Percent Loss(Substation)

    1 121,343.00 6.07

    2 88,942.00 4.45

    3 62,403.00 3.12

    Total Substation Loss: 272,688.00 13.63

    Energy Purchased:

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    Lo s s Se g r e g a t i o n Re su l t s

    Whole System Analysis

    Pe r Fe e d e r Co n t r i b u t i o n t o To t a l Sy s t e m Lo s s :

    Feeder Loss Contribution =

    Feeder Loss (kwhr)

    System EnergyPurchased (kwhr)

    X 100 %

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    Lo s s Se g r e g a t i o n Re su l t s

    Whole System Analysis

    Pe r Fe e d e r Co n t r i b u t i o n t o To t a l Sy s t e m Lo s s :

    15,000,000.00

    Feeder

    Total Losses

    (kWhr)

    Percent Loss

    (Whole System)1 121,343.00 0.81

    2 88,942.00 0.59

    3 62,403.00 0.42

    Substation Loss Contribution: 272,688.00 1.82

    Energy Purchased:

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    Te c h n i ca l Lo s s Re s u l t

    Technical Losses SummarySEGREGATED DISTRIBUTION SYSTEM LOSSES SUMMARY

    Name of Distribution Utility: NEA ELECTRIC COOPERATIVE, INC. (NECI)Substation/Feeder: NEA FEEDER

    Technical Losses: kWHr/day kWHr/month %loss (Computed Energy Input):

    Sub-transmission Line Loss 0.00 0.00 0

    S/S Power Transformer Load Loss 0.00 0.00 0

    S/S power Transformer No-Load Loss 0.00 0.00 0

    Primary Distribution Line Loss 408.34 12,250.19 3.256605

    Primary Service Drop Loss 0.00 0.00 0

    Distribution Transformer Load Loss 41.52 1,245.49 0.331103

    Distribution Transformer No-Load Loss 300.41 9,012.24 2.395825

    Secondary Distribution Line Loss 148.09 4,442.65 1.18104

    Secondary Service Drop Loss 13.29 398.63 0.105972

    Voltage Regulator Loss 0.00 0.00 0

    Shunt Capacitor Loss 0.63 18.90 0.005024

    Shunt Inductor Loss 0.00 0.00 0

    Series Inductor Loss 0.00 0.00 0

    TOTAL 912.27 27,368.10 7.275569

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    Te c h n i ca l Lo s s Re s u l t

    TimeInput

    (kWhr)

    Input

    (kVarhr)

    STL

    Loss

    SSL

    Loss

    SSNL

    Loss

    PDL

    Loss

    PSD

    Loss

    DTL

    Loss

    DTNL

    Loss

    SDL

    Loss

    SSD

    Loss

    VR

    Loss

    ShuntCap

    Loss

    Shunt

    L Loss

    Series

    L LossTOTAL

    Hour 1 340.43 -320.80 0.00 0.00 0.00 9.24 0.00 0.49 12.52 1.70 0.12 0.00 0.03 0.00 0.00 24.07

    Hour 2 235.92 -385.45 0.00 0.00 0.00 8.84 0.00 0.21 12.52 0.66 0.08 0.00 0.03 0.00 0.00 22.30

    Hour 3 247.03 -378.59 0.00 0.00 0.00 8.83 0.00 0.24 12.52 0.74 0.09 0.00 0.03 0.00 0.00 22.41

    Hour 4 252.61 -375.16 0.00 0.00 0.00 8.83 0.00 0.25 12.52 0.78 0.11 0.00 0.03 0.00 0.00 22.49

    Hour 5 290.23 -351.88 0.00 0.00 0.00 8.94 0.00 0.34 12.52 1.07 0.20 0.00 0.03 0.00 0.00 23.06Hour 6 286.46 -354.21 0.00 0.00 0.00 8.93 0.00 0.32 12.52 1.05 0.21 0.00 0.03 0.00 0.00 23.03

    Hour 7 285.53 -354.83 0.00 0.00 0.00 8.93 0.00 0.33 12.52 1.10 0.25 0.00 0.03 0.00 0.00 23.12

    Hour 8 340.92 -320.52 0.00 0.00 0.00 9.41 0.00 0.58 12.52 1.83 0.55 0.00 0.03 0.00 0.00 24.89

    Hour 9 483.02 -232.41 0.00 0.00 0.00 11.70 0.00 1.11 12.52 3.48 0.89 0.00 0.03 0.00 0.00 29.69

    Hour 10 535.32 -199.85 0.00 0.00 0.00 13.03 0.00 1.24 12.52 4.01 0.95 0.00 0.03 0.00 0.00 31.75

    Hour 11 445.78 -255.50 0.00 0.00 0.00 10.88 0.00 0.90 12.52 2.80 0.70 0.00 0.03 0.00 0.00 27.79

    Hour 12 340.07 -321.12 0.00 0.00 0.00 9.35 0.00 0.60 12.52 1.78 0.47 0.00 0.03 0.00 0.00 24.72

    Hour 13 462.54 -245.16 0.00 0.00 0.00 11.17 0.00 1.01 12.52 3.15 0.71 0.00 0.03 0.00 0.00 28.55Hour 14 569.49 -178.79 0.00 0.00 0.00 13.97 0.00 1.43 12.52 4.70 0.68 0.00 0.03 0.00 0.00 33.30

    Hour 15 560.92 -184.09 0.00 0.00 0.00 13.76 0.00 1.35 12.52 4.49 0.70 0.00 0.03 0.00 0.00 32.81

    Hour 16 355.04 -311.84 0.00 0.00 0.00 9.46 0.00 0.61 12.52 1.83 0.43 0.00 0.03 0.00 0.00 24.85

    Hour 17 353.25 -312.90 0.00 0.00 0.00 9.41 0.00 0.61 12.52 1.84 0.32 0.00 0.03 0.00 0.00 24.69

    Hour 18 971.88 71.91 0.00 0.00 0.00 35.35 0.00 4.63 12.52 16.73 0.93 0.00 0.03 0.00 0.00 70.16

    Hour 19 1225.48 230.55 0.00 0.00 0.00 58.33 0.00 7.63 12.52 28.50 1.50 0.00 0.03 0.00 0.00 108.47

    Hour 20 1152.18 184.63 0.00 0.00 0.00 51.07 0.00 6.74 12.52 25.21 1.30 0.00 0.03 0.00 0.00 96.83

    Hour 21 1005.38 92.80 0.00 0.00 0.00 38.45 0.00 5.13 12.52 19.12 0.98 0.00 0.03 0.00 0.00 76.20

    Hour 22 831.35 -15.82 0.00 0.00 0.00 26.63 0.00 3.55 12.52 13.40 0.68 0.00 0.03 0.00 0.00 56.77

    Hour 23 550.09 -190.79 0.00 0.00 0.00 13.51 0.00 1.45 12.52 5.28 0.28 0.00 0.03 0.00 0.00 33.04

    Hour 24 417.88 -272.82 0.00 0.00 0.00 10.31 0.00 0.80 12.52 2.86 0.17 0.00 0.03 0.00 0.00 26.64

    TOTAL (D) 12538.81 -4982.64 0 0 0 408.3 0 41.516 300.408 148.1 13.288 0 0.63 0 0 912.27 Kwhr/day

    %loss (Computed Energy Input): 0 0 0 3.257 0 0.3311 2.39583 1.181 0.106 0 0.005024 0 0 7.27557 %

    %loss(Total Technical Loss): 0 0 0 44.76 0 4.5509 32.9297 16.23 1.4565 0 0.069059 0 0 100 %

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    Te c h n i ca l Lo s se s Re s u l t

    Applications:

    Accurate determination of parts with most

    contribution to system loss

    Prioritization of parts for rehabilitation

    Prioritization of EC projects

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    D i s t r i b u t i o n T r a n s f o r m e r Re su l t s

    Aside from the segregated losses, wecan also derive results regarding thedistribution transformers such as,

    Individual DT Loss Contribution

    Per DT Connected Loads

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    I n d i v i d u a l D T Lo s s Co n t r i b u t i o n

    Original

    DT idTem p ID Input (P) Input (Q) DT Loss SL Loss SD Loss

    Total

    Loss%loss

    PF100185 45 349.5856 215.9323 3.277111 7.593481 0.770966 11.64156 0.092844

    PF100075 19 105.5128 62.95621 0.819976 9.291262 0.134986 10.24622 0.081716

    PF100340 81 242.0961 148.0836 1.076315 7.240506 0.412663 8.729484 0.06962

    PF100245 58 229.433 140.8264 0.966737 7.287583 0.111998 8.366317 0.066723

    PF100345 82 244.2055 150.8682 1.108032 3.90392 0.635527 5.647479 0.04504

    PF100465 110 112.9945 68.45472 0.615433 3.31905 1.560047 5.494529 0.04382

    PF100750 177 106.3827 64.77823 0.818989 4.474203 0.056174 5.349365 0.042662

    PF100475 112 134.2884 82.8069 0.63426 4.219335 0.231833 5.085428 0.040557PF100265 63 165.8797 102.5633 0.767601 4.013387 0.065331 4.846319 0.038651

    PF100230 54 133.7607 81.98298 0.519322 3.817239 0.157511 4.494072 0.035841

    PF100330 78 202.1513 125.0064 1.021052 3.109807 0.28713 4.417988 0.035234

    PF100285 68 177.0064 109.3467 0.605511 3.43675 0.130776 4.173037 0.033281

    PF100090 23 135.0403 82.76405 0.51878 3.469163 0.101724 4.089667 0.032616PF100360 85 126.6402 77.62619 0.559663 3.397153 0.116717 4.073533 0.032487

    PF100660 158 160.6173 98.76873 0.829825 3.001078 0.119734 3.950637 0.031507

    PF100260 62 196.0926 121.3271 0.872961 2.331464 0.088178 3.292603 0.026259

    PF100315 75 144.3248 88.68076 0.569161 1.643298 0.879037 3.091496 0.024655

    PF100350 83 130.3975 80.17073 0.436114 2.544045 0.050625 3.030783 0.024171

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    A p p l i c a t i o n

    From these results, well be able toaccurately determine which of theDTs contribute/s large amount of lossto the system.

    This will prevent much loss to thecoop since based on our experience,most of the losses in the system are

    in the distribution transformers.

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    A p p l i c a t i o n

    Prioritization of which DT to replacewill be more effective by using theseresults.

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    Pe r D T Co n n e c t e d Lo a d s

    DT From

    Bus ID

    Phase A

    (real)

    Phase A

    (imag)

    Phase B

    (real)

    Phase B

    (imag)

    Phase C

    (real)

    Phase C

    (imag)

    Total

    (real)

    Total

    (imag)PF100185 349.58558 215.932 0 0 0 0 349.59 215.93

    PF100345 1.108032 0.72687 0 0 243.0975 150.1413 244.21 150.87

    PF100340 242.09614 148.084 0 0 0 0 242.1 148.08

    PF100245 0.966737 0.63418 228.4663 140.1922 0 0 229.43 140.83

    PF100275 217.60679 134.818 0 0 0 0 217.61 134.82PF100330 1.021052 0.66981 0 0 201.1303 124.3366 202.15 125.01

    PF100305 66.824556 41.8749 66.94238 41.4995 66.94253 41.49917 200.71 124.87

    PF100260 0.872961 0.57266 0 0 195.2197 120.7545 196.09 121.33

    PF100300 1.047499 0.72801 192.5562 118.8679 0 0 193.6 119.6

    PF100285 0.605511 0.39722 176.4009 108.9495 0 0 177.01 109.35PF100255 0.568537 0.37296 170.6222 105.7182 0 0 171.19 106.09

    PF100265 0.767601 0.50355 0 0 165.1121 102.0598 165.88 102.56

    PF100295 164.53093 101.518 0 0 0 0 164.53 101.52

    PF100420 160.91545 99.4452 0 0 0 0 160.92 99.445

    P and Q Loads of Each DT in KWH

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    B u s V o l t a g e P r o f i l e

    Also, voltages at various parts of thesystem can also be determined fromthe results.

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    B u s V o l t a g e P r o f i l e

    Voltage Prof ile At Hour 1

    1 0 1 -119.9997 1 119.9997

    PF200005 0.999431 -0.04781 0.999516 -120.0398 0.999285 119.9549

    PF200010 0.999208 -0.066537 0.999326 -120.0555 0.999006 119.9373

    PF200015 0.99901 -0.082588 0.999163 -120.0694 0.998783 119.9224

    PF200020 0.998891 -0.09236 0.999068 -120.0778 0.998647 119.9134

    PF200023 0.998663 -0.111063 0.998885 -120.0938 0.998388 119.8962

    PF200025 0.998582 -0.118981 0.998846 -120.1018 0.998358 119.8893

    PF200030 0.998397 -0.137796 0.998791 -120.1199 0.99828 119.8738

    PF200033 0.998286 -0.149089 0.998758 -120.1308 0.998233 119.8645

    PF200035 0.998278 -0.149056 0.99875 -120.1308 0.998226 119.8645

    PF200040 0.998169 -0.161808 0.998729 -120.1431 0.998189 119.854

    PF200045 0.997956 -0.186838 0.998667 -120.1673 0.998102 119.8329

    PF200050 0.997892 -0.194058 0.998649 -120.1744 0.998084 119.8268

    PF200055 0.99857 -0.113469 0.998706 -120.0905 0.998026 119.8921

    PF200057 0.998543 -0.114513 0.998673 -120.0893 0.997915 119.8911PF200060 0 0 0.998669 -120.0893 0 0

    PF200063 0.99845 -0.11833 0.998567 -120.0848 0.997523 119.8875

    PF200065 0 0 0 0 0.997497 119.8874

    PF200070 0.998433 -0.118859 0.99855 -120.0843 0.997471 119.887

    PF200075 0.998433 -0.11881 0.998547 -120.0843 0.997471 119.887

    Phase B

    Magnitude

    Phase B

    Angle

    Phase C

    Magnitude

    Phase C

    AngleOrig ID

    Phase A

    Magnitude

    Phase A

    Angle

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    B u s V o l t a g e P r o f i l e

    Voltage Profile At Hour 19

    PF200855 0.898139 -1.933083 0 0 0 0

    PF200850 0.898186 -1.932807 0 0 0 0

    PF200870 0.898376 -1.931373 0.912927 -122.0784 0.919784 118.3745PF200875 0.898376 -1.931373 0.912927 -122.0784 0.919784 118.3745

    PF200857 0.898401 -1.930995 0.91292 -122.0782 0.919784 118.374

    PF200847 0.898424 -1.931506 0.912957 -122.0774 0.919773 118.374

    PF200840 0.898454 -1.936262 0 0 0 0

    PF200845 0.898655 -1.934134 0.913204 -122.071 0.919692 118.3723

    PF200837 0.89872 -1.934963 0.913278 -122.0691 0.919669 118.3719PF200835 0.898936 -1.935317 0.913401 -122.0647 0.919623 118.3694

    PF200825 0.899045 -1.92673 0.91299 -122.0686 0.919687 118.3637

    PF200820 0.899056 -1.927753 0.913056 -122.0678 0.919681 118.3643

    PF200815 0.899084 -1.93387 0.913394 -122.0629 0.91961 118.3669

    PF200813 0.899099 -1.935616 0.913495 -122.0613 0.919589 118.3676

    PF200810 0.89916 -1.936371 0.913564 -122.0596 0.919569 118.3672PF200805 0.899314 -1.937544 0.913701 -122.0558 0.919529 118.366

    PF200800 0.899428 -1.937982 0.91378 -122.0533 0.919505 118.3648

    PF200795 0.899874 -1.939695 0.914091 -122.0435 0.919409 118.3604

    PF200790 0.89997 -1.938952 0 0 0 0

    PF200785 0.900028 -1.938633 0 0 0 0

    PF200780 0.900283 -1.937269 0.914221 -122.0359 0.919448 118.3561

    Phase B

    Magnitude

    Phase B

    Angle

    Phase C

    Magnitude

    Phase C

    AngleOrig ID

    Phase A

    Magnitude

    Phase A

    Angle

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    A p p l i c a t i o n s

    Computation of actual voltages

    Example: Voltage in p.u. = 0.898

    Then, the actual voltage is,

    Actual Voltage = 0.898 x 13.2 kV

    = 11.86 kV

    Actual Voltage = Voltage (in pu) x Base Voltage

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    A p p l i c a t i o n s

    Voltage Variation

    As stated in PDC Chapter 3, the actual voltage

    should not exceed +10% or -10% of the nominal

    voltage, or should range from 90-110% of the

    nominal voltage.

    *Recommended 0.95 1.05 p.u.

    (Nominal Voltage Actual Voltage)% Variation = X 100%

    Nominal Voltage

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    A p p l i c a t i o n s

    Voltage Profile At Hour 1Line-Line

    Voltage

    Line-Line

    Voltage

    Line-Line

    Voltage

    Voltage

    Variation

    Voltage

    Variation

    Voltage

    Variation

    AB/BA BC/CB CA/AC AB/BA BC/CB CA/AC

    PF100010 13198.70 13198.98 13199.12 0.010 0.008 0.007

    PF100015 13195.97 13196.74 13197.29 0.031 0.025 0.021

    PF100020 13194.55 13195.64 13196.42 0.041 0.033 0.027

    PF100025 13192.79 13194.17 13195.37 0.055 0.044 0.035

    PF100030 13191.26 13192.91 13194.48 0.066 0.054 0.042

    PF100035 13190.47 13192.27 13193.97 0.072 0.059 0.046

    PF100038 13189.45 13191.45 13193.31 0.080 0.065 0.051

    PF100045 13188.32 13190.54 13192.57 0.089 0.072 0.056

    PF100050 13187.02 13189.39 13191.77 0.098 0.080 0.062

    PF100055 13185.60 13188.02 13190.91 0.109 0.091 0.069

    PF100537 13184.71 13166.61 13206.73 0.116 0.253 -0.051

    PF100057 13184.18 13186.67 13189.99 0.120 0.101 0.076

    PF100065 13182.94 13185.51 13189.21 0.129 0.110 0.082

    PF100535 13182.57 13165.74 13203.14 0.132 0.260 -0.024

    PF100540 13182.24 13162.83 13205.29 0.135 0.282 -0.040

    Bus ID

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    A p p l i c a t i o n s

    Voltage Profile At Hour 19Line-Line

    Voltage

    Line-Line

    Voltage

    Line-Line

    Voltage

    Voltage

    Variation

    Voltage

    Variation

    Voltage

    VariationAB/BA BC/CB CA/AC AB/BA BC/CB CA/AC

    PF100680 12236.47 12056.49 12246.16 7.299 8.663 7.226PF100660 12235.92 12055.89 12246.68 7.304 8.668 7.222

    PF100665 12235.68 12055.62 12246.68 7.305 8.670 7.222

    PF100670 12235.59 12055.51 12246.68 7.306 8.670 7.222

    PF100687 12234.35 12053.75 12244.34 7.316 8.684 7.240

    PF100690 12231.63 12050.53 12241.87 7.336 8.708 7.259

    PF100705 12230.24 12049.17 12240.94 7.347 8.718 7.266PF100710 12229.70 12048.45 12240.62 7.351 8.724 7.268

    PF100715 12226.69 12044.46 12238.87 7.374 8.754 7.281

    PF100720 12223.04 12039.55 12236.53 7.401 8.791 7.299

    PF100725 12212.27 12022.54 12230.09 7.483 8.920 7.348

    PF100730 11530.00 11490.00 11540.00 12.652 12.955 12.576

    PF100735 12206.57 12014.58 12227.96 7.526 8.980 7.364PF100750 12203.98 12010.02 12225.95 7.546 9.015 7.379

    PF100795 12203.98 12010.02 12225.95 7.546 9.015 7.379

    Bus ID

    VIOLATION!!!

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    A p p l i c a t i o n s

    Voltage Unbalance

    (Average Voltage Actual Voltage)% Unbalance = X 100%

    Average Voltage

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    A p p l i c a t i o n s

    Voltage Unbalance%

    unbalance

    %

    unbalance

    %

    unbalance

    Phase A Phase B Phase C

    1 0 0 0

    0.999998 0 0 0

    0.999919 0.002615 0.002409 0.005024

    0.999748 0.007056 0.008581 0.015637

    0.999662 0.010055 0.01207 0.0221250.999554 0.012265 0.017961 0.030226

    0.999461 0.014196 0.023115 0.037311

    0.999412 0.015654 0.024871 0.040525

    0.999349 0.017623 0.02698 0.044604

    0.999067 0 0 0

    0.999278 0.019868 0.029196 0.049063

    0.999196 0.020579 0.033516 0.054095

    0.999104 0.020004 0.039611 0.059615

    0.999011 0.019968 0.044306 0.064274

    0.999644 0 0 0

    0.998931 0.020051 0.048443 0.0684940.99887 0.020135 0.051609 0.071743

    Average

    Voltage

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    L i n e Cu r r e n t s

    Line Current At Hour 1

    Phase A Phase A Phase B Phase B Phase C Phase C

    Real Imag Real Imag Real Imag

    0 5502 11.27804 3.328538 -1.912626 -10.75915 -8.396858 8.92848

    5502 5503 11.27804 3.328538 -1.912626 -10.75915 -8.396858 8.92848

    5503 5505 11.27804 3.328538 -1.912626 -10.75915 -8.393235 8.9065325505 5513 11.27804 3.328538 -1.912626 -10.75915 -8.404727 8.424703

    5513 5522 11.27804 3.328538 -1.793979 -10.69288 -8.404727 8.424703

    5522 5524 11.27804 3.328538 -1.791069 -10.68785 -8.404727 8.424703

    5524 5525 9.066739 4.546316 0.682197 -9.445926 -8.527026 3.277849

    5525 5542 9.066739 4.546316 1.352682 -9.082851 -8.527026 3.277849

    5542 5544 9.066739 4.546316 1.352682 -9.082851 -8.524886 3.27079

    5544 5545 0.326763 -0.193496 -0.337316 -0.174407 0.010554 0.367904

    5544 5547 8.739976 4.739812 1.689998 -8.908444 -8.53544 2.902887

    5547 5552 8.483096 4.897462 1.689998 -8.908444 -8.53544 2.902887

    5552 5561 8.483096 4.897462 1.689998 -8.908444 -8.545774 2.516345

    5524 5563 2.211297 -1.217778 -2.473266 -1.241926 0.122299 5.146854

    5563 5571 2.211297 -1.217778 -1.745605 -0.84906 0.122299 5.146854

    5571 5572 0 0 -0.097733 -0.054912 0 05571 5574 2.211297 -1.217778 -1.647872 -0.794147 0.122299 5.146854

    5574 5575 0 0 0 0 0.017409 0.665267

    5574 5584 2.211297 -1.217778 -1.647872 -0.794147 0.10489 4.481587

    5584 5586 0.022592 -0.01236 -0.203164 -0.113672 -0.000581 0.025764

    5584 5588 0.592289 -0.353539 0 0 0 0

    5588 5592 0.262775 -0.1524 0 0 0 0

    From To

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    L i n e Cu r r e n t s

    Line Current At Hour 19Phase A Phase A Phase B Phase B Phase C Phase C

    Real Imag Real Imag Real Imag

    0 5502 39.44432 -14.2506 -31.9508 -26.5471 -7.19891 43.72753

    5502 5503 39.44432 -14.2506 -31.9508 -26.5471 -7.19891 43.72753

    5503 5505 39.44432 -14.2506 -31.9508 -26.5471 -7.19671 43.66083

    5505 5513 39.44432 -14.2506 -31.9508 -26.5471 -7.26075 41.69974

    5513 5522 39.44432 -14.2506 -31.469 -26.2849 -7.26075 41.69974

    5522 5524 39.44432 -14.2506 -31.4661 -26.2799 -7.26075 41.69974

    5524 5525 31.81121 -9.76329 -22.5763 -21.7246 -7.73228 26.51308

    5525 5542 31.81121 -9.76329 -19.7134 -20.1913 -7.73228 26.51308

    5542 5544 31.81121 -9.76329 -19.7134 -20.1913 -7.73011 26.5066

    5544 5545 0.418715 -0.24701 -0.43297 -0.22101 0.014252 0.468024

    5544 5547 31.3925 -9.51628 -19.2804 -19.9703 -7.74436 26.03858

    5547 5552 30.38345 -8.88498 -19.2804 -19.9703 -7.74436 26.03858

    5552 5561 30.38345 -8.88498 -19.2804 -19.9703 -7.79794 24.51131

    5524 5563 7.63311 -4.48726 -8.88978 -4.55526 0.471528 15.18666

    5563 5571 7.63311 -4.48726 -5.83146 -2.93344 0.471528 15.186665571 5572 0 0 -0.40487 -0.21873 0 0

    5571 5574 7.63311 -4.48726 -5.42659 -2.71471 0.471528 15.18666

    5574 5575 0 0 0 0 0.076236 2.504165

    5574 5584 7.63311 -4.48726 -5.42659 -2.71471 0.395293 12.68249

    5584 5586 0.085868 -0.05177 -0.82164 -0.44357 0.002026 0.100379

    From To

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    A p p l i c a t i o n s

    Current Unbalance:Phase A Phase A Phase B Phase B Phase C Phase C Branch Current Phase A Phase B Phase C

    Mag (A) Arg(deg) Mag (A) Arg(deg) Mag (A) Arg(deg)Average (A)

    %

    Unbalance

    %

    Unbalance

    % Unbalance

    0 42.9737 0 -78.07898 0 165.0533 0 2.37 3.25 0.88PF100001 PF100005 0.11659 -30.27887 0 0 0 0 0.12 0 0 0PF100001 PF100010 19.94539 43.29441 21.12923 -78.07898 20.28447 165.0533 20.45 2.48 3.31 0.82PF100010 PF100015 19.87781 43.98318 21.12923 -78.07898 20.28447 165.0533 20.43 2.71 3.42 0.71PF100015 PF100020 19.87781 43.98318 21.12923 -78.07898 20.16462 166.0524 20.39 2.51 3.62 1.11PF100020 PF100025 19.7577 45.37103 21.12923 -78.07898 20.16462 166.0524 20.35 2.91 3.83 0.91PF100025 PF100030 19.74775 45.46315 21.11738 -77.99462 20.15505 166.143 20.34 2.91 3.82 0.91

    PF100030 PF100035 19.74775 45.46315 20.93891 -76.2513 20.15505 166.143 20.28 2.63 3.25 0.62PF100035 PF100038 19.74775 45.46315 20.91451 -76.03094 20.15505 166.143 20.27 2.59 3.17 0.58PF100038 PF100040 0 0 0.055542 -147.8935 0 0 0.06 0 0 0

    From To

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    A p p l i c a t i o n s

    Line Loading

    Phase A Phase B Phase C

    % loading % loading % loading

    PF100001 PF100005 220 0.05 0 0PF100001 PF100010 310 6.43 6.82 6.54PF100010 PF100015 310 6.41 6.82 6.54PF100015 PF100020 310 6.41 6.82 6.5

    PF100020 PF100025 310 6.37 6.82 6.5PF100025 PF100030 310 6.37 6.81 6.5PF100030 PF100035 310 6.37 6.75 6.5PF100035 PF100038 310 6.37 6.75 6.5PF100038 PF100040 220 0 0.03 0PF100038 PF100045 310 6.37 6.74 6.5PF100045 PF100050 310 6.33 6.74 6.5PF100050 PF100055 310 6.31 6.74 6.5PF100055 PF100057 310 6.31 6.71 6.5PF100057 PF100060 220 0 0 0.02PF100057 PF100065 310 6.31 6.71 6.5

    PF100065 PF100067 310 6.31 6.71 6.5PF100067 PF100070 220 0 0 0.38

    From To Rating

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    Cu r r e n t I n j e c t i o n s

    Phase A Phase A Phase B Phase B Phase C Phase C

    Real Imag Real Imag Real Imag

    PF100005 0.0044 0 0 0 0 0

    PF100010 0.007601 -0.000004 0 0 0 0PF100015 0 0 0 0 -0.028927 0.050278

    PF100020 0.007703 -0.000016 0 0 0 0

    PF100025 0.004002 -0.000011 -0.002012 -0.00346 -0.001991 0.00347

    PF100030 0 0 -0.003726 -0.0064 0 0PF100035 0 0 -0.002923 -0.005015 0 0

    PF100038 0 0 0 0 0 0

    PF100040 0 0 -0.002925 -0.005014 0 0

    PF100045 0.007607 -0.000037 0 0 0 0

    PF100050 0.007608 -0.000042 0 0 0 0

    PF100055 0 0 -0.003849 -0.006565 0 0

    PF100057 0 0 0 0 0 0

    PF100060 0 0 0 0 -0.002865 0.005045

    Orig. ID

    Competency Training and Certification Program in Electric Power Distribution System Engineering

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    Th a n k y o u .