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Questions and Answers
What is the relationship between VR, VY, VB, and VL in a star connected load?
What is the relationship between VR, VY, VB, and VL in a star connected load?
What is the formula for reactive power in a star connected load?
What is the formula for reactive power in a star connected load?
What is the phase angle between voltage and current in a fully resistive circuit?
What is the phase angle between voltage and current in a fully resistive circuit?
What is the value of cos2ωt in a fully resistive circuit?
What is the value of cos2ωt in a fully resistive circuit?
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What is the direction of energy flow in a fully resistive circuit?
What is the direction of energy flow in a fully resistive circuit?
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What is active power also known as?
What is active power also known as?
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What is the rate of energy consumption by the load?
What is the rate of energy consumption by the load?
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What is the relationship between VP and VL in a star connected load?
What is the relationship between VP and VL in a star connected load?
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What is the formula for reactive power in terms of VP and IP?
What is the formula for reactive power in terms of VP and IP?
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Why is active power always positive?
Why is active power always positive?
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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
Learn about wattmeters, their types, and components, and understand the basics of energy meters. Quiz covers the principles and applications of these electrical instruments.