Impact of Voltage Reduction on Load, Line Loss and Generation

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    Impact of Voltage Reduction on

    Load, Line Loss and generation

    Sushanta Paul

    Prof. Ward Jewell

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    Introduction

    Numerous voltage reduction program for

    conservation or peak-load reduction are in use

    in the USA and around the world

    Design of this program has been based on

    experimental evidence

    This work presents technical analysis on the

    impact of voltage reduction on load, line loss

    and generation

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    Impact of load type on line loss and load

    demand

    Constant Power Load: , current

    will Increase, as a result line loss will increase

    Constant Current load: , since current

    remains constant, no change in line loss

    Constant Impedance Load: , again

    , finally current will decrease, as a result line loss

    will decrease

    *)tan( IVtconsjQP

    *

    )tan(

    VjQPtconsI

    jQP

    VtconsZ

    2

    )tan(

    V

    jQPI

    *

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    Impact of Voltage Reduction on Line

    Loss for Composite Load ModelConst. PQ load dominant:

    Increasing effect of line loss for const. PQ loadswill dominate the decreasing effect of line loss forconst. Z loads resulting in the increase in line loss

    Const. Z load dominant: Decreasing effect of lineloss for const. z loads will dominate the increasingeffect of line loss for const. PQ loads resulting inthe decrease in line loss

    Const. I load dominant: Line loss will increase if% const. PQ load > % const. Z load or loss willdecrease if % const. Z load > % const. PQ load

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    Impact of Load Model on Load, Line LossLoad Model Power Consumption Line Loss

    Constant Power Constant Increase

    Constant Current Decrease Constant

    Constant Impedance Decrease Decrease

    Composite Load

    (i) Constant Power load

    dominant

    (ii) Constant Current

    load dominant

    (iii) Constant impedance

    load dominant

    Decrease

    Decrease

    Decrease

    Increase

    Increase if % of const.

    power load > % of const.

    impedance load

    or

    Decrease if % of const.

    impedance load > % ofconst. power load

    Decrease

    PLoad

    P

    ZP ILoad

    I

    Load PP ,

    ZP ILoad

    I

    Load

    P

    Load PPP

    ZLoad

    P

    ZLoad

    I

    Load

    I

    Load

    P

    Load PPPP ZP

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    Variation in Active power Generation: Pgen = PLoad + PLoss

    Impact of Reduced Voltage on Active Power Generation

    Decrement positive, Increment negative

    Therefore, PLoad + PLoss > 0

    PGen > 0 i.e. active power generation will decrease

    Again,

    By (1) and (2),

    (2)

    (3)

    (1)

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    Variation in reactive power generation:

    Due to voltage reduction, reactive power will decrease if,

    (4)

    Or increase if,(5)

    Now at reduced voltage,

    System with dominant constant P,Q load:and

    Equ. (5), i.e. reactive power generation will increase

    System with dominant constant Z load:

    Equ. (4), i.e. reactive power generation will decrease

    Since;

    Equ. (5), i.e. reactive power generation will increase

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    System with dominant constant I load:

    Equ. (4), i.e. reactive power generation will decrease

    Equ. (5), i.e. reactive power generation will increase

    Impact of Voltage Reduction on Power Consumption

    Composite Load ModelActive Power

    Generation

    Reactive Power

    Generation

    Const. PQ Load

    Dominant Decrease IncreaseConst. Z Load

    DominantDecrease

    Decrease, if

    Increase, if

    Const. I Load

    DominantDecrease

    Decrease, if

    Increase, if

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    800

    806 808 812 814

    810

    802 850

    818

    824 826

    816

    820

    822

    828 830 854 856

    852

    832

    888 890

    838

    862

    840

    836860834

    842

    844

    846

    848

    864

    858

    Const. PQ load

    dominant

    Const. Z load

    dominant

    IEEE 34-bus System

    Load under regulator 814:

    Const. PQ: 195 kW, 97 kVAr

    Const. Z: 34 kW, 17 kVArConst. I: 45 kW, 22 kVAr

    Capacitors under regulator 852: 750 kVAr

    Sub-

    station

    Voltage

    (V)

    Total LoadTotal Line

    Loss

    Power

    Supplied

    from

    Substation

    (kW)( kVAr) (kW) (kVAr)(kW) (kVAr)

    122 1772 1053 278 197 2050 451

    121 1772 1053 278 197 2050 451

    120 1770 1052 279 198 2048 452

    119 1767 1050 280 199 2047 452

    118 1764 1049 282 199 2046 453

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    Load under regulator 852: Const. Z Load Dominant

    Const. Z: 566 kW, 395 kVAr, Const. I: 517 kW, 266 kVAr Const. PQ: 341 kW, 210 kVAr

    Sub-

    station

    Voltage

    (V)

    Total Load Total Line Loss Power Generation

    (kW) ( kVAr) (kW) ( kVAr)(kW) (kVAr) (kW) (kVAr) (kW) (kVAr) (kW) (kVAr)

    124 1772 1053 1771 1052 278 197 310 219 2050 452 2081 873

    123 1772 1053 1771 1052 278 197 310 219 2050 452 2081 873

    122 1762 1046 1761 1046 275 196 307 217 2037 453 2068 869

    121 1745 1036 1748 1038 270 193 303 214 2016 455 2051 864

    120 1732 1027 1733 1028 266 190 297 211 1999 456 2030 858

    Load under regulator 852: Const. I Load Dominant

    Const. I: 566 kW, 395 kVAr, Const. Z: 517 kW, 266 kVAr, Const. PQ: 341 kW, 210 kVAr

    Sub-

    station

    Voltage(V)

    Total Load Total Line Loss Power Generation

    (kW) ( kVAr) (kW) ( kVAr) (kW) (kVAr) (kW) (kVAr) (kW) (kVAr)(kW) (kVAr)

    124 1730 1028 1728 1027 256 181 287 201 1986 412 2014 831

    123 1730 1028 1728 1027 256 181 287 201 1986 412 2014 831

    122 1721 1023 1719 1022 253 179 283 199 1974 414 2002 828

    121 1709 1016 1708 1015 249 176 279 196 1958 417 1987 825

    120 1695 1008 1694 1007 245 173 274 192 1936 421 1968 820

    Increase inreactive power

    Decrease inreactive power

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    11Impact of Voltage Reduction on IEEE 13-Bus System

    0.920.940.96

    0.981

    1.021.04

    0.965 0.9736 0.9822 0.9908 0.9994 1.008 1.0166

    Gen. (Const. PQ load dominant) Gen. (Const. Z load dominant

    Gen. (Const. I load dominant) Load (Const. PQ load dominant)

    Load (Const. Z load dominant) Load (Const. I load dominant)

    Voltage (V)

    Gener

    ation

    (pu)

    Load

    (pu)

    Active Load and Generation vs. Voltage

    Const. PQ load

    Const. Z load

    Reactive Load and Generation vs. Voltage

    Const. PQ load

    0.750.785

    0.820.855

    0.890.925

    0.960.995

    0.965 0.9735 0.982 0.9905 0.999 1.0075 1.016

    Gen.(Const. PQ load dominant) Gen. (Const. Z load dominant)

    Gen. (Const.I load dominant) Load (Const.PQ dominant)

    Load (Const.Z load dominant) Load (Const. I load dominant)

    Ge

    neration

    (pu)

    Load

    (pu)

    Voltage

    Const. Z loadConst. PQ load

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    0.0298

    0.0313

    0.0328

    0.0343

    0.965 0.9736 0.9822 0.9908 0.9994 1.008 1.0166Loss (Const. PQ load dominant) Loss (Const.Z load dominant)

    Loss (Const. I load dominant)

    Voltage(V)

    Line

    Loss(pu) Const. PQ load

    Const. I load

    Const. Z load

    -0.00028

    0.00772

    0.01572

    0.02372

    0.03172

    0.03972

    0.04772

    0.055720.06372

    0.07172

    0.07972

    0.965 0.9736 0.9822 0.9908 0.9994 1.008 1.0166

    Gen. decr. (Const.PQ load dominant) Gen. decr. (Const. Z load dominant)

    Gen. decr. (Const. I load dominant) Load decr. (Const. PQ load dominant)

    Load decr. (Const.Z load dominant) Load decr. (Const. I load dominant)

    Loss incr. (Const. PQ load dominant) Loss decr. (Const.Z load dominant)

    Loss incre. (Const. I load dominant)

    Generation

    decrease

    (pu)

    Load

    decrease

    (pu)

    Lossdecrease/increa

    se(pu)

    Voltage

    Line Loss vs. Voltage

    Decrease/Increase in Load, Line Loss and Generation vs. Voltage

    Const. Z load

    Const. I load

    Const. PQ load

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    ConclusionDue to voltage Reduction:

    A decrease in both active and reactive load for all composite

    load model

    Line Loss increases for dominant const. PQ load, decreases for

    dominant const. Z load and for dominant const. I load line loss

    will increase if % const. PQ load > % const. Z load or decrease

    if % const. PQ load < % const. Z load

    Active power generation decreases for all composite load

    model

    Reactive power generation increases for const. PQ load. For

    const. Z and I load, reactive power generation decreases if

    or increases if