Power System Engineering Lecture 2

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    Introduction to Power System Engineering

    Syllabus

    Historical Background

    Structure of Power System

    Power Generation

    Power Transmission

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    Distribution System

    Receives electrical energy from HV/MV levels

    Supplies energy to the consumers At MV/LV levels and

    Single phase or three phase

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    Distribution System Equipments

    Distribution transformers

    Feeders (overhead or underground cables)

    Switches, fuses, etc.

    Protective relays

    Lightning arrestors

    CT/PT

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    Demand at Station During a Day

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    Overhead vs. Underground Systems

    Underground cables are technically advantages than theoverhead lines

    Not exposed to environmental conditions

    Inductance is lower in cable so voltage drop is less

    But cables are much more costlier than overhead lines for

    same dispatch capability and voltage

    Cost of conductor is high

    Cost of insulation is high

    Erection cost is lower for cables but high maintenance

    cost.

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    Overhead vs. Underground Systems

    Capacitance is predominant in the cables.

    This gives large charging current which limits the length of the

    cables.

    Therefore long distance transmission overhead lines are preferred.

    Cables are mainly used at distribution levels.

    Cables are preferred in following conditions:

    Public safety involved and low interference is required

    Large populated cities

    Scenic beauty of city is important

    Submarine crossing, and substation and transformer connections

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    Comparison of AC and DC Systems

    P is the amount of power transmitted over same distance.

    Vm is the maximum voltage for AC and DC system.

    R1 ,R2 andR3 are the resistances of each conductor for

    DC, Single phase AC and Three Phase AC.

    DC 2 wire (mid point

    earthed)

    AC 2 Wire (Single phase)

    AC 3 wire (Three phase)

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    Comparison of AC and DC System

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    Comparison of AC and DC System

    From above three equations, we have

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    Comparison of AC and DC System

    The conductor cross-sectional areas for systems is

    Therefore, ratio of conductor weights

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    Comparison of AC and DC Systems

    Advantages of HVDC system

    Lower losses

    Lower switching overvoltages, lower tower clearances

    No problem of stability and synchronism.

    Can interconnect systems with different frequencies.

    Disadvantages of HVDC system

    Can not supply load directly.

    Expensive

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    Choice of Working Voltage

    The cost of conductor is expensive item in overheadtransmission and this is greatly affected by the choice of

    the voltage level.

    V1 V2 = mV1

    I1 I2 = I1/ m

    R1 R2 = m2R1

    a1 a2 =a1/ m

    2

    There will be a saving in cost of conductor material if the

    power is delivered at higher voltages.

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    Choice of Working Voltage

    But higher system voltages will entail more cost ofinsulation in equipments like transformers, circuit-

    breakers, and switches.

    Cost of insulation increases rapidly with increasing

    voltages.

    Therefore for certain length of transmission line, the

    voltage level beyond which it becomes uneconomical.

    Therefore, the question is how to select the transmission

    and distribution voltages?

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    Choice of Working Voltage

    If Cis total annual cost as function of conductor crosssectionA and working voltage V

    C = f(A, V)

    For minimum cost

    f /A =0

    f /V =0

    This will result in most economical conductor cross

    section and system voltage, if the functionfcan be defined

    accurately.

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    Choice of Working Voltage

    C= annual interest and depreciation on capital cost (fixedcost) + annual cost of energy losses (operational cost).

    Operational cost depends on conductor cross section,

    voltage, power factor, change in load time to time,

    harmonics, etc.

    Thus, functionfdepends on many factors and complicated

    enough to describe it mathematically.

    Hence determination based on economic basis is

    unsatisfactory.

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    Transmission Cost as Function of

    Voltage Level.

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    Choice of Working Voltage

    100

    3

    6.15.5

    1506.15.5

    PLV

    kVALV

    Vis the line voltage in kV

    L is the line distance in km

    P is the estimated

    maximum power in kW

    per phase

    Using these empirical relations preliminary estimate is

    made.

    Then voltage level is chosen by doing complete

    economic study of existing interconnected system.