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Wattmeter and Energy Meter Construction and Theory
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Wattmeter and Energy Meter Construction and Theory

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Questions and Answers

In a star-connected system, what is the relationship between VR, VY, and VB?

  • VR = VY = VB (correct)
  • VR ≠ VY ≠ VB
  • VR < VY < VB
  • VR > VY > VB
  • What is the unit of reactive power?

  • Watts
  • Amps
  • Watt-hours
  • Volt-Amps (correct)
  • What is the condition for a single-phase power circuit to be fully resistive in nature?

  • φ = 0° (correct)
  • φ = 90°
  • φ = 180°
  • φ = 45°
  • What is the direction of energy flow in an electrical circuit?

    <p>From source to load</p> Signup and view all the answers

    What is another name for active power?

    <p>Resistive Power</p> Signup and view all the answers

    What is the formula for reactive power per phase?

    <p>Q = √3VP IP cos Φ</p> Signup and view all the answers

    What is the range of cos2ωt?

    <p>0 to 1</p> Signup and view all the answers

    What is the significance of p being positive?

    <p>Energy is flowing from source to load</p> Signup and view all the answers

    What is the rate of energy consumption by the load?

    <p>Active Power</p> Signup and view all the answers

    What is the phase angle between voltage and current in a fully resistive circuit?

    <p>0°</p> Signup and view all the answers

    Study Notes

    Wattmeter and Energy Meter

    • A wattmeter is an instrument used to measure electric power given to or developed by an electrical circuit.
    • There are two types of wattmeters:
      • Electrodynamometer wattmeter (for both DC and AC power measurement)
      • Induction wattmeter (for AC power measurement only)
    • A wattmeter consists of two coils:
      • One coil is connected in series with the circuit (current coil)
      • One coil is connected in parallel with the circuit (voltage coil)

    Energy Meter

    • An energy meter is a device used to measure and record the consumption of electrical energy.
    • It is widely used in residential, commercial, and industrial settings to ensure accurate metering of electricity usage.
    • An energy meter has four main parts:
      • Driving System (electromagnet and copper band)
      • Moving System (aluminium disc)
      • Braking System (permanent magnet)
      • Registering System (counting mechanism)
    • The working principle of an energy meter is based on Faraday's law of electromagnetic induction.
    • The energy meter measures the power consumption of a load by interacting the magnetic fields of a current coil and a voltage coil.

    How an Energy Meter Works

    • Current Measurement: The energy meter measures the current flowing through it using a current coil.
    • Voltage Measurement: The energy meter measures the voltage using a voltage coil.
    • Electric Energy Calculation: The energy meter calculates the power consumption by multiplying the instantaneous voltage and current values.
    • Power Calculation: The power consumed by the load is calculated by multiplying the voltage and current values.
    • Energy Integration: The energy meter integrates the power over time to calculate the total energy consumption.
    • Display and Communication: Modern energy meters have digital displays and communication capabilities to transmit data remotely.

    Application of Energy Meters

    • Single-phase energy meters are used in residential and small commercial settings.
    • Three-phase energy meters are used in industrial and commercial settings with high electrical loads.
    • Three-phase energy meters are suitable for measuring energy consumption in factories, power requirements in commercial buildings, and consumption of large machinery and equipment.

    Types of 3-Phase Energy Meters

    • There are two types of 3-phase energy meters:
      • Three phases, three-wire meters (permanent horseshoe magnet)
      • Three phases, four-wire meter (three coils and three aluminum discs)

    Benefits of Using a 3-Phase Meter

    • The ability to use different phases for different rooms.
    • The ability to distribute the load.
    • Real-time and recorded power consumption data.
    • Protection of valuable equipment from high voltage damages.

    Analysis of Three-Phase Systems

    • A three-phase system consists of three phase conductors and a neutral conductor.
    • The sum of the line currents in a 3-phase system is equal to zero.
    • The three-phase system has several advantages, including:
      • Fewer conductors required compared to single-phase systems.
      • Continuous supply to the load.
      • Higher efficiency and minimum losses.
    • The three-phase system can be connected in two ways:
      • Star connection (four wires, including a neutral conductor)
      • Delta connection (three wires, no neutral point)### Three-Phase Loads
    • A three-phase load can be balanced or unbalanced.
    • A balanced load has equal magnitude and phase angle between the three phases.
    • In a balanced load, all phase voltages and line voltages are equal in magnitude.

    Three-Phase AC Generator

    • A three-phase AC generator has three windings, each with two terminals (start and finish).
    • Connecting a separate load across each phase winding would require six wires, making the system complicated and costly.

    Blondel's Theorem

    • Blondel's Theorem is used to determine the type of metering installation needed for a particular service.
    • The theorem states that one less element (or CT) is required in a watthour meter than the number of wires in the service to accurately meter the service.
    • For a single-phase two-wire service, a watthour meter with one stator (1s meter) is required.
    • For a three-phase, three-wire service (delta service), a form 5s meter with two elements is required.

    Reactive Power Measurement

    • Reactive power (Q) is caused by the phase shift between voltage and current due to inductance and capacitance.
    • Reactive power is denoted by Q and expressed in volt-amperes reactive (VAR).
    • The formula for reactive power is Q = VI sin Φ.
    • Reactive power measurement is essential to determine the nature of the load and measure power factor.

    Measurement of Reactive Power in Single-Phase Circuits

    • A single-phase varmeter (volt-ampere reactive meter) is used to measure reactive power in single-phase circuits.
    • The varmeter has an inductive voltage coil, which causes the current to lag 90° behind the voltage.
    • The meter indication is Q = VI sin Φ.

    Measurement of Reactive Power in Three-Phase Circuits

    • For a three-phase balanced load, the reactive power measured is the same in all phases.
    • Only a single wattmeter is required to measure the reactive power.
    • The current coil is inserted in one phase, and the voltage coil is connected across the remaining two phases.

    Active Power

    • Active power is consumed due to the resistive effect of an electrical circuit.
    • It is also known as resistive power.
    • The active power is always positive, regardless of the instantaneous direction of voltage and current.
    • It is the rate of energy consumption by the load.

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    Description

    This quiz covers the construction and theory of operation of wattmeters and energy meters, including types such as electrodynamometer and induction wattmeters.

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