6.3.3supply
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A three-phase transformer provides power to a three-phase system. The three-phase transformer outputs three alternating current phases that are 120 degrees out of phase with each other, allowing three-phase equipment to operate. The three-phase supply from the transformer is a basic requirement for many industrial and commercial applications that use three-phase power.
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6.1.2connection
In three-phase systems, the voltage in each phase is shifted 120 degrees from the others. This phase shift allows for a constant power output without fluctuation, as when one phase is at its peak another is at its minimum. The phase shift is what allows three-phase systems to generate power more efficiently than single-phase systems.
6.1.4phasor
In three-phase systems, the voltage in each phase is shifted 120 degrees from the others. This phase shift allows the rotating magnetic field to be produced which drives motors and generators. The phase shift results in the voltages reaching their peaks sequentially, with 1/3 of the cycle between them.
6.1.3phase Shift
In three-phase systems, the voltage in each phase is shifted 120 degrees from the others. This phase shift allows the rotating magnetic field which powers three-phase motors to be produced using three current-carrying conductors instead of multiple conductors in a commutator. The phase shift is a consequence of the three sinusoidal voltages being produced 120 degrees out of phase with each other.
3.2.5 Example 2
This document provides instructions on how to calculate the inductance of a coil connected to a 110V, 60Hz power source where the current is 5A. It outlines the equations needed, showing the steps to calculate the inductance is 0.584H. It also defines inductive reactance and notes inductance in AC circuits is further explained in the textbook on pages 183-186, recommending the reader study this section and complete exercises 18-23.
Transmission lines
Transmission lines are physical connections between two locations that transmit electromagnetic waves. They have characteristic parameters including resistance, inductance, capacitance, and conductance per unit length. These parameters depend on the line's geometry and materials. Transmission line equations relate the voltage and current at each point on the line based on these parameters. A line has a characteristic impedance that is the ratio of voltage to current. Reflection and transmission of waves occurs at impedance discontinuities like at the load. Lossless lines propagate waves without attenuation, while finite lines are analyzed using reflection coefficients at the generator and load terminations.
6.4.1polarity
This document discusses how to test the polarity of a three-phase transformer using either lamps or a voltmeter. To test with lamps, connect one lamp leg to each transformer leg and observe if they light up simultaneously; if not, two of the transformer's phases need reversing. To test with a voltmeter, measure the voltage between two transformer legs; if incorrect, two phases are reversed.
Session 2
The document discusses field effect transistors (FETs), specifically junction FETs (JFETs). It contains the following key points:
1. JFET output characteristics show that drain current decreases with increasing reverse gate-source voltage, as the depletion region widens, reducing the channel width. At the gate-source cut-off voltage VGS(off), the channel is fully pinched off and drain current reaches zero.
2. Transfer characteristics relate drain current ID to gate-source voltage VGS. ID decreases quadratically with VGS and reaches zero at the pinch-off voltage VP, which is equal to VGS(off).
3. The document derives an expression for the depletion region width
13.5.2 Three Phase Transformer
Star-Star and Star-Delta are the most common combinations of transformer winding connections. Star-Delta is the most commonly used configuration for commercial and industrial applications. Delta-Star is rarely used as it causes harmonics and balancing problems.
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6.1.2connection
In three-phase systems, the voltage in each phase is shifted 120 degrees from the others. This phase shift allows for a constant power output without fluctuation, as when one phase is at its peak another is at its minimum. The phase shift is what allows three-phase systems to generate power more efficiently than single-phase systems.
6.1.4phasor
In three-phase systems, the voltage in each phase is shifted 120 degrees from the others. This phase shift allows the rotating magnetic field to be produced which drives motors and generators. The phase shift results in the voltages reaching their peaks sequentially, with 1/3 of the cycle between them.
6.1.3phase Shift
In three-phase systems, the voltage in each phase is shifted 120 degrees from the others. This phase shift allows the rotating magnetic field which powers three-phase motors to be produced using three current-carrying conductors instead of multiple conductors in a commutator. The phase shift is a consequence of the three sinusoidal voltages being produced 120 degrees out of phase with each other.
3.2.5 Example 2
This document provides instructions on how to calculate the inductance of a coil connected to a 110V, 60Hz power source where the current is 5A. It outlines the equations needed, showing the steps to calculate the inductance is 0.584H. It also defines inductive reactance and notes inductance in AC circuits is further explained in the textbook on pages 183-186, recommending the reader study this section and complete exercises 18-23.
Transmission lines
Transmission lines are physical connections between two locations that transmit electromagnetic waves. They have characteristic parameters including resistance, inductance, capacitance, and conductance per unit length. These parameters depend on the line's geometry and materials. Transmission line equations relate the voltage and current at each point on the line based on these parameters. A line has a characteristic impedance that is the ratio of voltage to current. Reflection and transmission of waves occurs at impedance discontinuities like at the load. Lossless lines propagate waves without attenuation, while finite lines are analyzed using reflection coefficients at the generator and load terminations.
6.4.1polarity
This document discusses how to test the polarity of a three-phase transformer using either lamps or a voltmeter. To test with lamps, connect one lamp leg to each transformer leg and observe if they light up simultaneously; if not, two of the transformer's phases need reversing. To test with a voltmeter, measure the voltage between two transformer legs; if incorrect, two phases are reversed.
Session 2
The document discusses field effect transistors (FETs), specifically junction FETs (JFETs). It contains the following key points:
1. JFET output characteristics show that drain current decreases with increasing reverse gate-source voltage, as the depletion region widens, reducing the channel width. At the gate-source cut-off voltage VGS(off), the channel is fully pinched off and drain current reaches zero.
2. Transfer characteristics relate drain current ID to gate-source voltage VGS. ID decreases quadratically with VGS and reaches zero at the pinch-off voltage VP, which is equal to VGS(off).
3. The document derives an expression for the depletion region width
13.5.2 Three Phase Transformer
Star-Star and Star-Delta are the most common combinations of transformer winding connections. Star-Delta is the most commonly used configuration for commercial and industrial applications. Delta-Star is rarely used as it causes harmonics and balancing problems.
7.4.6 slip
This document describes how to calculate the rotor frequency of a two-pole, 50 Hz induction motor given the rotor speed of 2850 rpm. It shows that the slip speed is 3000 rpm, the slip percentage is 5%, and using the formula fs x %slip / 100, the rotor frequency is calculated to be 2.5 Hz.
4.2.1 Better Load
The document describes the circuits and loads for an electrical installation. It lists 19 circuits with various lighting, power outlet, motor, and appliance loads. It calculates the demand current in amps for each phase based on adding the full load or percentage of full load for each circuit based on rating and number of devices. The highest calculated demand is 153.25 amps on phase L2. With a 10% allowance for future additions, the total recommended maximum current is 168.575 amps.
4.1.13 Light Demand 3
This short document does not provide any substantive information to summarize in 3 sentences or less. It only notes that an explanation is not contained in a workbook, but provides no other context or details.
4.1.12 Light Demand 2 Table Part2
The document outlines the demand calculations for 19 different circuit load groups across 3 phases. It lists the load description, current allowance calculation method, and resulting demand current for each phase. The total demand current per phase is calculated at the bottom, with values of 143.8 amps for phase 1, 153.25 amps for phase 2, and 145.05 amps for phase 3.
4.1.11 Light Demand 2 Table
The document contains a table that calculates the current demand per phase for various circuit load groups in an electrical system. It lists 19 load groups categorized by letters A through D, describing each load. It shows the current allowance calculation method and resulting demand in amps for each phase. The total demand current calculated per phase is 143.8 amps for L1, 153.25 amps for L2, and 145.05 amps for L3.
4.1.10 Light Demand 2
This 3 sentence document provides instructions to refer to a specific table on a specific page of a particular standard for additional explanatory information not contained in the current workbook. The instructions direct the reader to Table C2 on page 359 of AS/NZA 3000:2007 for an explanation that is not included in the current document.
4.1.9 Light Demand 1
The document describes the functions of 19 electrical circuits in a building. It lists the types of equipment connected to each circuit such as fluorescent lighting, outlets, motors, and appliances. It also indicates which of the 3 electrical phases (L1, L2, L3) each circuit is connected to.
4.1.7 Example Domestic 3
The document calculates the electrical load of communal services in an apartment building. It shows that 24 lighting points will draw 240 watts and 6 10A sockets will draw up to 12A, for a total demand of 18A per phase. The total demand current per phase for communal services is 18A.
4.1.6 Example Domestic 2
The document calculates the electrical load and demand for 6 living units per phase. It lists the types of loads in each unit, the quantity and allowance per unit, and uses this to calculate the total demand current for phases L1, L2 and L3, which is 154.4 amps for each phase. The key loads included are lighting, power outlets, cooking ranges, air conditioners and hot water systems.
4.1.5 Example Domestic 1
This document discusses the number of living units per phase of a project. It calculates that for 18 total living units divided into 3 phases, there would be 6 living units per phase.
4.1.4 Step 2
This document summarizes the electrical load calculations for 11 circuits in a home. It lists the load type and description for each circuit, the current allowance per unit, and calculates the demand in amps for circuits 1-10. The largest demands are 17.7 amps for an air conditioner and 15 amps for an off-peak hot water system. The total calculated demand current for each phase is 40.7, 39.5, and 46.5 amps respectively.
4.1.3 Example Solution Three
The document calculates the electrical load and demand current for 11 circuits in a home. It groups the loads into categories like lighting, outlets, appliances, and assigns each a description, allowance, and demand calculation. The total demand current per phase is summarized at the bottom, with the highest draw of 46.5 amps on phase L3.
4.1.2 Example Three
The document outlines the functions and ratings of 12 electrical circuits. Circuit 1 provides power for 13 indoor lighting points. Circuit 10 powers an air conditioner rated at 23.6 amps per phase and can draw power from circuits L1, L2, and L3. Circuits 11a and 11b each power a controlled load hot water unit rated at 3.6 kW.
4.1.1 Example Single
This document calculates the total demand current for an electrical installation consisting of:
- 21 lighting points and 12 double sockets, contributing 5A and 15A respectively
- 15 single sockets contributing 10A
- A 6kW oven contributing 0.5A
- A 2.4kW water heater contributing 0.33A
The total demand current calculated is 45.83A.
5.4.4 LR Circuits
The document discusses the time constant and final current value for an RL circuit. It states that:
1) The time constant for the circuit is 0.17 seconds based on the given inductance and resistance values.
2) It will take approximately 0.85 seconds (5 time constants) for the current to reach its final value.
3) Using Ohm's law, the approximate final current after 0.85 seconds is 2 amps.
14.5.4 Example 1 Part 1
This document calculates the apparent power, power factor, and phase angle for a circuit. It finds that the apparent power is 2.308 kVA by multiplying the current of 9.615 by the voltage of 240. This apparent power is larger than the actual power of 1.5 kW, indicating a poor power factor of 0.65 or a 49.46 degree phase angle between the current and voltage.
14.1.2 TRA Power
Reactive power (Q) and true power (P) combine to form apparent power (S). Apparent power is the combination of true power, which is the usable energy in a circuit, and reactive power, which is stored energy that results from the combination of voltage and current out of phase.
14.5.8 Example 1 Part 5
This document calculates the true power, apparent power, and total current for a circuit. It determines that the true power is 1.5 kW, the apparent power is 1.5009 kVA, and the power factor is 0.99994. It then calculates that with an apparent power of 1.5009 kVA at 240 Volts, the total current would be 6.25 amps.
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7.4.6 slip
This document describes how to calculate the rotor frequency of a two-pole, 50 Hz induction motor given the rotor speed of 2850 rpm. It shows that the slip speed is 3000 rpm, the slip percentage is 5%, and using the formula fs x %slip / 100, the rotor frequency is calculated to be 2.5 Hz.
4.2.1 Better Load
The document describes the circuits and loads for an electrical installation. It lists 19 circuits with various lighting, power outlet, motor, and appliance loads. It calculates the demand current in amps for each phase based on adding the full load or percentage of full load for each circuit based on rating and number of devices. The highest calculated demand is 153.25 amps on phase L2. With a 10% allowance for future additions, the total recommended maximum current is 168.575 amps.
4.1.13 Light Demand 3
This short document does not provide any substantive information to summarize in 3 sentences or less. It only notes that an explanation is not contained in a workbook, but provides no other context or details.
4.1.12 Light Demand 2 Table Part2
The document outlines the demand calculations for 19 different circuit load groups across 3 phases. It lists the load description, current allowance calculation method, and resulting demand current for each phase. The total demand current per phase is calculated at the bottom, with values of 143.8 amps for phase 1, 153.25 amps for phase 2, and 145.05 amps for phase 3.
4.1.11 Light Demand 2 Table
The document contains a table that calculates the current demand per phase for various circuit load groups in an electrical system. It lists 19 load groups categorized by letters A through D, describing each load. It shows the current allowance calculation method and resulting demand in amps for each phase. The total demand current calculated per phase is 143.8 amps for L1, 153.25 amps for L2, and 145.05 amps for L3.
4.1.10 Light Demand 2
This 3 sentence document provides instructions to refer to a specific table on a specific page of a particular standard for additional explanatory information not contained in the current workbook. The instructions direct the reader to Table C2 on page 359 of AS/NZA 3000:2007 for an explanation that is not included in the current document.
4.1.9 Light Demand 1
The document describes the functions of 19 electrical circuits in a building. It lists the types of equipment connected to each circuit such as fluorescent lighting, outlets, motors, and appliances. It also indicates which of the 3 electrical phases (L1, L2, L3) each circuit is connected to.
4.1.7 Example Domestic 3
The document calculates the electrical load of communal services in an apartment building. It shows that 24 lighting points will draw 240 watts and 6 10A sockets will draw up to 12A, for a total demand of 18A per phase. The total demand current per phase for communal services is 18A.
4.1.6 Example Domestic 2
The document calculates the electrical load and demand for 6 living units per phase. It lists the types of loads in each unit, the quantity and allowance per unit, and uses this to calculate the total demand current for phases L1, L2 and L3, which is 154.4 amps for each phase. The key loads included are lighting, power outlets, cooking ranges, air conditioners and hot water systems.
4.1.5 Example Domestic 1
This document discusses the number of living units per phase of a project. It calculates that for 18 total living units divided into 3 phases, there would be 6 living units per phase.
4.1.4 Step 2
This document summarizes the electrical load calculations for 11 circuits in a home. It lists the load type and description for each circuit, the current allowance per unit, and calculates the demand in amps for circuits 1-10. The largest demands are 17.7 amps for an air conditioner and 15 amps for an off-peak hot water system. The total calculated demand current for each phase is 40.7, 39.5, and 46.5 amps respectively.
4.1.3 Example Solution Three
The document calculates the electrical load and demand current for 11 circuits in a home. It groups the loads into categories like lighting, outlets, appliances, and assigns each a description, allowance, and demand calculation. The total demand current per phase is summarized at the bottom, with the highest draw of 46.5 amps on phase L3.
4.1.2 Example Three
The document outlines the functions and ratings of 12 electrical circuits. Circuit 1 provides power for 13 indoor lighting points. Circuit 10 powers an air conditioner rated at 23.6 amps per phase and can draw power from circuits L1, L2, and L3. Circuits 11a and 11b each power a controlled load hot water unit rated at 3.6 kW.
4.1.1 Example Single
This document calculates the total demand current for an electrical installation consisting of:
- 21 lighting points and 12 double sockets, contributing 5A and 15A respectively
- 15 single sockets contributing 10A
- A 6kW oven contributing 0.5A
- A 2.4kW water heater contributing 0.33A
The total demand current calculated is 45.83A.
5.4.4 LR Circuits
The document discusses the time constant and final current value for an RL circuit. It states that:
1) The time constant for the circuit is 0.17 seconds based on the given inductance and resistance values.
2) It will take approximately 0.85 seconds (5 time constants) for the current to reach its final value.
3) Using Ohm's law, the approximate final current after 0.85 seconds is 2 amps.
14.5.4 Example 1 Part 1
This document calculates the apparent power, power factor, and phase angle for a circuit. It finds that the apparent power is 2.308 kVA by multiplying the current of 9.615 by the voltage of 240. This apparent power is larger than the actual power of 1.5 kW, indicating a poor power factor of 0.65 or a 49.46 degree phase angle between the current and voltage.
14.1.2 TRA Power
Reactive power (Q) and true power (P) combine to form apparent power (S). Apparent power is the combination of true power, which is the usable energy in a circuit, and reactive power, which is stored energy that results from the combination of voltage and current out of phase.
14.5.8 Example 1 Part 5
This document calculates the true power, apparent power, and total current for a circuit. It determines that the true power is 1.5 kW, the apparent power is 1.5009 kVA, and the power factor is 0.99994. It then calculates that with an apparent power of 1.5009 kVA at 240 Volts, the total current would be 6.25 amps.
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5th LF Energy Power Grid Model Meet-up Slides
5th Power Grid Model Meet-up
It is with great pleasure that we extend to you an invitation to the 5th Power Grid Model Meet-up, scheduled for 6th June 2024. This event will adopt a hybrid format, allowing participants to join us either through an online Mircosoft Teams session or in person at TU/e located at Den Dolech 2, Eindhoven, Netherlands. The meet-up will be hosted by Eindhoven University of Technology (TU/e), a research university specializing in engineering science & technology.
Power Grid Model
The global energy transition is placing new and unprecedented demands on Distribution System Operators (DSOs). Alongside upgrades to grid capacity, processes such as digitization, capacity optimization, and congestion management are becoming vital for delivering reliable services.
Power Grid Model is an open source project from Linux Foundation Energy and provides a calculation engine that is increasingly essential for DSOs. It offers a standards-based foundation enabling real-time power systems analysis, simulations of electrical power grids, and sophisticated what-if analysis. In addition, it enables in-depth studies and analysis of the electrical power grid’s behavior and performance. This comprehensive model incorporates essential factors such as power generation capacity, electrical losses, voltage levels, power flows, and system stability.
Power Grid Model is currently being applied in a wide variety of use cases, including grid planning, expansion, reliability, and congestion studies. It can also help in analyzing the impact of renewable energy integration, assessing the effects of disturbances or faults, and developing strategies for grid control and optimization.
What to expect
For the upcoming meetup we are organizing, we have an exciting lineup of activities planned:
-Insightful presentations covering two practical applications of the Power Grid Model.
-An update on the latest advancements in Power Grid -Model technology during the first and second quarters of 2024.
-An interactive brainstorming session to discuss and propose new feature requests.
-An opportunity to connect with fellow Power Grid Model enthusiasts and users.
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