Assignment Polyphase

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    POLYPHASE CIRCUIT ANALYSIS [BEF23803]

    SECTION 1ASSIGNMENT 1

    LECTURERS NAME: DR. ERWAN BIN SULAIMAN

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    GROUP MEMBERS NAME:

    SHARINI A/P P.JANASEKARAN

    [CE130108]

    NURUL HANIS BINTI MUHAMAD SOBRI

    [CE130165]

    AZLIN HAZWANI BINTI ROSLEE

    [CE130125]

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    DISCUSS THE DIRECTION OF

    POWER FLOW IN CONVENTIONAL

    POWER SYSTEM CIRCUIT

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    Direction of Power Flow

    It is assumed that a specific load is consuming power. If however we are

    generating power, then the direction of the current flows is reversed. But

    because the current is alternating, the direction is reversing anyway, 50 or

    60 times each second. We need a reference to compare the current

    direction against. Fortunately, we have that in the form of the voltage.

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    In figure 1, the voltage and current waves both rose and fell together. When thevoltage was positive (above the x axis) then the current too was positive, and when the

    voltage was negative (below the x axis) then the current too was negative.

    Power is equal to the product of the voltage and current and so the power was always

    positiveall of the power curve is above the x axis.

    Figure 1Voltage, current, power graph of a resistive load

    http://openenergymonitor.org/emon/sites/default/files/resistive2.jpghttp://openenergymonitor.org/emon/sites/default/files/resistive2.jpg
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    If the house is generating power, the direction of the current is reversed compared to

    how it was before. Now, when the voltage is positive (above the x axis) then the current

    is negative (below the x axis), and when the voltage is negative then the current is

    positive. The power always negativeall of the power curve is below the x axis.

    The sign of the power therefore indicates whether power is being consumed or

    generated.

    Figure 2Voltage, current, power graph when generating

    http://openenergymonitor.org/emon/sites/default/files/revpower.pnghttp://openenergymonitor.org/emon/sites/default/files/revpower.pnghttp://openenergymonitor.org/emon/sites/default/files/revpower.pnghttp://openenergymonitor.org/emon/sites/default/files/revpower.pnghttp://openenergymonitor.org/emon/sites/default/files/revpower.pnghttp://openenergymonitor.org/emon/sites/default/files/revpower.pnghttp://openenergymonitor.org/emon/sites/default/files/revpower.png
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    GIVE THE DEFINITION OF

    MAXIMUM AVERAGE POWERTRANSFER

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    Definition of Max. Average

    In the maximum average power transfer theoremstates that the maximum external power from a sourcewith finite internal resistance. The internal resistanceof the load must be equal the resistance of the source

    as viewed from its output terminal.

    To solved the problem of maximizing the powerdelivered by a power-supplying resistive network to aload RL. Representing the circuit by its Thevenin

    equivalent with proved that the maximum powerwould be delivered to the load if the load resistance isequal to the Thevenin RL = RTH.

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    EXPLAIN CLEARLY HOW TO FIND

    THE MAXIMUM POWERTRANSFER AT THE LOAD USING

    THEVENIN EQUIVALENT CIRCUIT

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    Find the Max. Power Transfer

    Finding the maximum average power which can be transferred from a linear circuit to a loadconnected.

    Circuit with a load Thevenin Equivalent circuit

    The circuit at the right side represents the circuit to the left of the load by its Thevenin

    equivalent.

    LoadZLrepresents any element that is absorbing the power generated by the circuit.

    Find the Maximum Average Power that will be absorbed by loadZLfrom the circuit to

    which it is connected. The entire circuit is replaced by the thevenin equivalent except for

    the load.

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    EXPLAIN AN EXAMPLE TO SOLVE A

    PROBLEM OF MAXIMUM POWER

    TRANSFER IN RLC CIRCUIT

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    Example of Problem in RLC Circuit

    EXAMPLE 1:

    Calculate the resistive load needed for maximum power transfer and the

    maximum average power.

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    EXAMPLE 1:

    Calculate the resistive load needed for maximum power transfer and the

    maximum average power.

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    EXPLAIN THE CONDITION OF

    MAXIMUM AVERAGE POWER FOR

    RESISTIVE LOAD. SOLVE AN

    EXAMPLEFOR THE ABOVE CONDITION

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    Condition for Resistive Load

    When the load is purely resistive, the condition for

    maximum power transfer is:

    Now the maximum power can not be obtained from the

    Pmaxformula.

    Maximum power can only be calculated by finding the

    power of RL when XL=0.

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    Example of Problem

    Determine the load impedance, ZL that maximizes the average power drawn from the

    circuit. What is the maximum average power?

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