The document describes experiments performed in PS-Pice to verify various circuit theorems. Experiment 1 introduces PS-Pice and describes its basic functions. Experiment 2 uses PS-Pice to verify Kirchhoff's Current and Voltage Laws in a DC circuit by comparing analytical and simulated results. Experiment 3 verifies the Superposition Theorem for dependent and independent sources by calculating voltages using individual source contributions. Experiment 4 verifies Thevenin's Theorem for an independent source DC network by deriving the equivalent circuit representation.
basically kvl and kcl for thoes who study in high school and superpostion theorem for higher studies which we learn when we do graduation or engineering.
This document defines key terms and concepts related to electrical circuits and networks. It discusses different types of circuits including linear/non-linear, bilateral/unilateral circuits. It also defines electrical networks and their components such as nodes, branches, loops and meshes. Finally, it covers important circuit analysis techniques including Ohm's law, Kirchhoff's laws, mesh analysis, nodal analysis and superposition theorem.
Dear All,
Here i glad to introduced with a basics of Design Electrical which is helpfull to understand the concept of electrical.
I hope you like these concept & prefered the same.
Thanks& Regards,
Pankaj V. Chavan
( 95615 73214 )
- The document discusses enhancing communication skills for electrical engineers. Effective communication is very important for career success and promotion.
- Students are encouraged to develop their communication skills through presentations, projects, student organizations, and communication courses while still in school. This allows risks to be lower than developing skills later in the workplace.
- Ability to communicate has been rated the most important factor for managerial promotion in surveys of U.S. corporations, above technical skills and experience. Effective communication will be an important tool for engineers throughout their careers.
The document describes an experiment to verify Kirchhoff's Voltage Law (KVL) using a circuit with resistors and a power supply. The experiment involves measuring voltages and currents at different resistor values and comparing the results to theoretical calculations based on KVL. Small differences between measured and calculated values are observed, which are attributed to measurement errors. The results confirm that KVL accurately describes the voltage relationships in the circuit.
1) The document discusses various circuit analysis techniques for AC circuits including mesh analysis, nodal analysis, superposition, Thevenin's theorem, and Norton's theorem.
2) The key steps for analyzing AC circuits are to first transform the circuit to the phasor domain, then solve the circuit using analysis techniques, and finally transform back to the time domain.
3) Examples are provided for applying each analysis technique to solve for unknown voltages and currents in sample circuits.
This document provides an overview of basic electrical concepts and circuit analysis for engineering students. It covers topics like voltage and current sources, Kirchhoff's laws, Thevenin's and superposition theorems, AC circuits including power calculations, and three-phase systems. The key points are:
1) It defines fundamental electrical terms and describes different types of sources and circuit analysis methods like mesh and nodal analysis.
2) Kirchhoff's laws are introduced for analyzing circuits using the concepts of current law and voltage law.
3) Thevenin's and superposition theorems are summarized as techniques for simplifying circuits with multiple sources.
4) Single-phase AC circuits are covered including definitions
This document provides the list of experiments for an Electrical Circuits Laboratory Manual. It includes experiments on characteristics of PN junction diodes, Zener diodes, transistors, rectifiers, FETs, SCRs, and verification of Ohm's law, Kirchhoff's laws, Thevenin's theorem, Norton's theorem, superposition theorem, and maximum power transfer theorem. One experiment is described in detail for verifying Ohm's law, including the apparatus required, theory, procedure, sample calculations and results. The document also provides circuit diagrams for experiments verifying Kirchhoff's laws, Thevenin's theorem, and Norton's theorem.
basically kvl and kcl for thoes who study in high school and superpostion theorem for higher studies which we learn when we do graduation or engineering.
This document defines key terms and concepts related to electrical circuits and networks. It discusses different types of circuits including linear/non-linear, bilateral/unilateral circuits. It also defines electrical networks and their components such as nodes, branches, loops and meshes. Finally, it covers important circuit analysis techniques including Ohm's law, Kirchhoff's laws, mesh analysis, nodal analysis and superposition theorem.
Dear All,
Here i glad to introduced with a basics of Design Electrical which is helpfull to understand the concept of electrical.
I hope you like these concept & prefered the same.
Thanks& Regards,
Pankaj V. Chavan
( 95615 73214 )
- The document discusses enhancing communication skills for electrical engineers. Effective communication is very important for career success and promotion.
- Students are encouraged to develop their communication skills through presentations, projects, student organizations, and communication courses while still in school. This allows risks to be lower than developing skills later in the workplace.
- Ability to communicate has been rated the most important factor for managerial promotion in surveys of U.S. corporations, above technical skills and experience. Effective communication will be an important tool for engineers throughout their careers.
The document describes an experiment to verify Kirchhoff's Voltage Law (KVL) using a circuit with resistors and a power supply. The experiment involves measuring voltages and currents at different resistor values and comparing the results to theoretical calculations based on KVL. Small differences between measured and calculated values are observed, which are attributed to measurement errors. The results confirm that KVL accurately describes the voltage relationships in the circuit.
1) The document discusses various circuit analysis techniques for AC circuits including mesh analysis, nodal analysis, superposition, Thevenin's theorem, and Norton's theorem.
2) The key steps for analyzing AC circuits are to first transform the circuit to the phasor domain, then solve the circuit using analysis techniques, and finally transform back to the time domain.
3) Examples are provided for applying each analysis technique to solve for unknown voltages and currents in sample circuits.
This document provides an overview of basic electrical concepts and circuit analysis for engineering students. It covers topics like voltage and current sources, Kirchhoff's laws, Thevenin's and superposition theorems, AC circuits including power calculations, and three-phase systems. The key points are:
1) It defines fundamental electrical terms and describes different types of sources and circuit analysis methods like mesh and nodal analysis.
2) Kirchhoff's laws are introduced for analyzing circuits using the concepts of current law and voltage law.
3) Thevenin's and superposition theorems are summarized as techniques for simplifying circuits with multiple sources.
4) Single-phase AC circuits are covered including definitions
This document provides the list of experiments for an Electrical Circuits Laboratory Manual. It includes experiments on characteristics of PN junction diodes, Zener diodes, transistors, rectifiers, FETs, SCRs, and verification of Ohm's law, Kirchhoff's laws, Thevenin's theorem, Norton's theorem, superposition theorem, and maximum power transfer theorem. One experiment is described in detail for verifying Ohm's law, including the apparatus required, theory, procedure, sample calculations and results. The document also provides circuit diagrams for experiments verifying Kirchhoff's laws, Thevenin's theorem, and Norton's theorem.
Unit_1_Lecture 1_baduc introduction jan 2024.pptxnoosdysharma
This document provides an overview of the topics covered in the Electrical and Electronics Engineering Unit 1 course. The key concepts covered include basic definitions for DC circuits like Ohm's law, Kirchhoff's laws, and voltage and current divider rules. Analysis methods like mesh current analysis, nodal voltage analysis, and Thevenin's theorem are introduced. The document also discusses basic definitions for AC circuits including RMS values. Practical learning will involve applying the theorems and building rectifier circuits.
INVESTIGATION INTO CHAOTIC OSCILLATOR_Public Copy.pdfsanjanayadav
This project involved the study, analysis and simulation of the Chua's Circuit and different techniques of implementing Chua's Circuit. A comparative analysis of those existing circuits have been made. Their characteristics and outputs were simulated using Ltspice. After observing the behaviour of existing techniques , a new method was proposed in one of the circuits where we replaced the passive inductor with GIC and the circuit was analysed for all required parameters and then compared with the available circuit characteristics.
Introduction to Electrical Engineering notesalertofferzz
This document provides an introduction to AC fundamentals and three-phase circuits. It discusses topics like sinusoidal voltage generation, phasor diagrams, analysis of R-L, R-C, and R-L-C series circuits. Key points covered include:
- AC through pure resistance, inductance, and capacitance circuits and their phasor representations
- Concepts of impedance, power factor, and voltage/current relationships in R-L, R-C, and R-L-C series AC circuits.
This document defines key electrical concepts and laws used in circuit analysis. It begins by defining two-terminal elements, current, voltage, power, and reference directions. It then discusses resistive two-terminal elements including resistors, voltage sources, and current sources. Kirchhoff's current and voltage laws are introduced for circuit analysis. Common circuit elements such as nodes, branches, loops, and meshes are defined. Example problems demonstrate using Kirchhoff's laws to find unknown currents and voltages in circuits. The document concludes by introducing techniques for circuit analysis including equivalent resistance of series and parallel resistors and Y-Δ transformations.
This document discusses periodic waveforms and examples of periodic motion including pendulums, bouncing balls, and vibrating strings. It then summarizes how a 555 timer circuit can produce a steady train of pulses using a capacitor and resistors, and describes applications of the 555 timer such as producing audio signals and LED lighting. The document also discusses using a tank circuit with an inductor and capacitor to produce oscillating signals.
Kirchhoff's laws describe the conservation of electric charge and energy in electrical circuits. There are two Kirchhoff's laws: 1) Kirchhoff's current law (KCL) states that the algebraic sum of currents in a network meeting at a point is zero. 2) Kirchhoff's voltage law (KVL) states that the directed sum of the potential differences around any closed network loop is zero. Mesh analysis and nodal analysis are methods used to solve planar circuits using KCL and KVL. Thevenin's theorem states that any linear electrical network can be reduced to an equivalent circuit of a voltage source in series with a resistor at its terminals.
This document introduces a presentation on the superposition theorem and Norton's theorem given by six students: Mahmudul Hassan, Mahmudul Alam, Sabbir Ahmed, Asikur Rahman, Omma Habiba, and Israt Jahan. The superposition theorem allows analysts to determine voltages and currents in circuits with multiple sources by considering each source independently and then summing their effects. Norton's theorem represents a linear two-terminal circuit as an equivalent circuit with a current source in parallel with a resistor. The document provides examples of applying both theorems to solve circuit problems.
1) The document is a lab manual for an Electrical Engineering measurement lab course. It details 10 experiments involving measuring devices like oscilloscopes, multimeters, and bridges.
2) The first experiment involves studying oscilloscopes, their working principles, and different types of probes. Block diagrams and features of oscilloscopes are described.
3) Power factor is defined as the ratio between real power and apparent power. A power factor meter and phase shifter circuit are explained along with calculations for power factor correction by adding a capacitor.
The Electric Circuit And Kirchhoff’S Rules by Studentskulachihansraj
The document discusses Kirchhoff's rules, which are two simple laws that allow the analysis of electric circuits:
1) Junction Rule - At any junction, the total current entering must equal the total current leaving.
2) Loop Rule - The algebraic sum of potential differences (voltage drops and rises) around any closed loop must be zero.
The rules are based on the principles of charge and energy conservation and allow analysis of complex circuits through application of the rules at junctions and loops.
Lab 5 BASIC CIRCUITS( Resistors, Voltage,and Current with.docxfestockton
Lab 5: BASIC CIRCUITS
( Resistors, Voltage,
and Current with MATLAB adapted from P-178 DC Circuit Labs )
Introduction
:
Electric circuits can be defined as closed or continuous paths in which electric currents are confined and around which electric currents can be caused to flow. Electrical circuits are an essential part of daily living, and may be found in heavy and light industry, commercial installations and operations, and residential applications. Modern life and its many conveniences seem inconceivable without the use of electric circuits.
The total resistance of a circuit is the sum of the individual resistances of the power source, the wiring, and the load. The load resistance is generally much higher than either the resistance of the power source or the wiring. The resistances of the wiring are usually neglected in classroom laboratory experiments. Very rarely is circuit wiring significant in experimental work. In these cases we consider the loads resistances to be the only resistance. Wiring resistance may be considerable in the case of transmission cables, as well as telephone lines, which are many miles long, and we have a lab which investigates and calculates the resistance in such cables and the lost power and energy due to these lengths.
If an arbitrary load of relatively low resistance were connected to an existing power supply or voltage source, an excessive current might flow to the load, causing burn up or other malfunctions with the load and wiring.
The current can be reduced
by reducing the source voltage, but this is not always feasible and is frequently impossible. The resistances of the voltage source or the load could be increased, but these are usually built right into the source or load. Resistances of connecting wires are so low that miles would be needed to increase the circuit resistance by more than a few dozen ohms. A selection of materials for connecting wires might be useful, but a better method would be to creation of a device that is specifically a resistor that can be included with the circuit to give the net or total resistance needed to provide the desired current for the voltage source involved.
In any DC circuit, the total current is equal to the power source voltage divided by the total or equivalent resistance. For a Series Circuit, this is the only current. This means that if the current in some portion of the circuit is known, the total current and the current through every part of the circuit is known. The sum of the voltage drops across the resistors in series is equal to the power supply voltage.
In Parallel Circuits, the total current from the power source divides into different paths as in approaches the parallel branches. The voltage drop across parallel branches is the same for all the branches. If the voltage drop for one branch is known, the voltage drop for all the parallel branches is known.
The sum of the currents in the various branches is equal to the current from the po.
This document discusses Thévenin's theorem in electrical circuit theory. It begins with an abstract and introduction to circuit theorems and their scope. Next, it describes the origination of Thévenin's theorem by Léon Charles Thévenin in 1882. The document then explains Thévenin's equivalent circuit, how to calculate the Thévenin voltage and resistance, and some applications and limitations of the theorem, including that it is not applicable to non-linear circuits. It also discusses how the theorem can be applied to AC circuits and proven in a lab.
This document discusses and provides examples of applying network theorems, including Thevenin's theorem, Norton's theorem, and the superposition theorem, to calculate currents in branches of circuits. These theorems allow complex networks to be reduced to simpler equivalent circuits. Thevenin's theorem replaces a network with a voltage source in series with a resistance, while Norton's theorem uses a current source in parallel with a resistance. The superposition theorem allows calculating the total current as the sum of the currents from individual voltage sources. Examples are provided to calculate a current using each theorem and nodal analysis, and the results are shown to be the same, demonstrating the utility of network theorems in circuit analysis.
This document reports on an electrical engineering lab experiment involving the superposition principle and Thevenin's theorem. The experiment used resistors, power supplies, and multimeters to measure voltages and currents in circuits. For the superposition principle part, measurements were taken with individual and combined sources and compared. For Thevenin's theorem, voltage and current across a variable load resistor were measured and recorded in a table to determine the equivalent resistance and voltage of the original circuit.
The superposition theorem allows the analysis of circuits with multiple sources by considering each source independently and adding their effects. It can be applied when circuit elements are linear and bilateral. To use it, all ideal voltage sources except one are short circuited and all ideal current sources except one are open circuited. Dependent sources are left intact. This allows the circuit to be solved for each source individually and the results combined through superposition. Examples demonstrate finding currents through specific elements in circuits with multiple independent and dependent sources. A limitation is that superposition cannot be used to determine total power due to power being related to current squared.
The document summarizes key concepts about Kirchhoff's laws, Thévenin's and Norton's theorems, and network analysis techniques. Specifically:
- Kirchhoff's laws deal with current and voltage in electrical circuits and are based on conservation of charge and energy. The junction rule states the sum of currents at a node is zero, and the loop rule states the algebraic sum of voltages in a closed loop is zero.
- Thévenin's and Norton's theorems allow any two-terminal linear network to be reduced to an equivalent circuit with a voltage or current source and single impedance. This simplifies analysis and understanding how the network responds to changes.
- Network analysis methods like
Infomatica, as it stands today, is a manifestation of our values, toil, and dedication towards imparting knowledge to the pupils of the society. Visit us: http://www.infomaticaacademy.com/
Presentation about chapter 1 of electrical circuit analysis. standard prefixes. basic terminology power,current,voltage,resistance.How power is absorbed by the circuit and its calculation with passive sign convention.
This file is about Introduction to electrical circuit analysis.Main elements of a circuit power,current,voltage,resistance. Standard SI units and prefixes.Calculation of how much power is consumed by circuit by passive sign convention
1. The document discusses various network theorems and techniques used to analyze electrical circuits, including Maxwell's mesh current method, nodal analysis, superposition theorem, Thevenin's theorem, and the maximum power transfer theorem.
2. Key terms are defined, such as linear/non-linear circuits, active/passive elements, nodes, junctions, branches, loops, and meshes.
3. Examples are provided to demonstrate applying the theorems to solve for unknown currents and voltages in circuits. The maximum power transfer theorem states that maximum power is transferred when the load resistance equals the internal resistance of the source.
This document discusses superposition and its use in analyzing circuits with both AC and DC sources. Superposition allows a circuit to be solved by separately analyzing the individual effects of each independent source. The key steps are to solve the circuit for each source alone by shorting or opening the other sources; then combine the individual voltage and current results. Example 1 uses two DC sources in a circuit to demonstrate the technique. Example 2 applies superposition to an RC circuit with both an AC and DC source, calculating and measuring the separate and combined voltage effects across the resistor and capacitor.
Unit_1_Lecture 1_baduc introduction jan 2024.pptxnoosdysharma
This document provides an overview of the topics covered in the Electrical and Electronics Engineering Unit 1 course. The key concepts covered include basic definitions for DC circuits like Ohm's law, Kirchhoff's laws, and voltage and current divider rules. Analysis methods like mesh current analysis, nodal voltage analysis, and Thevenin's theorem are introduced. The document also discusses basic definitions for AC circuits including RMS values. Practical learning will involve applying the theorems and building rectifier circuits.
INVESTIGATION INTO CHAOTIC OSCILLATOR_Public Copy.pdfsanjanayadav
This project involved the study, analysis and simulation of the Chua's Circuit and different techniques of implementing Chua's Circuit. A comparative analysis of those existing circuits have been made. Their characteristics and outputs were simulated using Ltspice. After observing the behaviour of existing techniques , a new method was proposed in one of the circuits where we replaced the passive inductor with GIC and the circuit was analysed for all required parameters and then compared with the available circuit characteristics.
Introduction to Electrical Engineering notesalertofferzz
This document provides an introduction to AC fundamentals and three-phase circuits. It discusses topics like sinusoidal voltage generation, phasor diagrams, analysis of R-L, R-C, and R-L-C series circuits. Key points covered include:
- AC through pure resistance, inductance, and capacitance circuits and their phasor representations
- Concepts of impedance, power factor, and voltage/current relationships in R-L, R-C, and R-L-C series AC circuits.
This document defines key electrical concepts and laws used in circuit analysis. It begins by defining two-terminal elements, current, voltage, power, and reference directions. It then discusses resistive two-terminal elements including resistors, voltage sources, and current sources. Kirchhoff's current and voltage laws are introduced for circuit analysis. Common circuit elements such as nodes, branches, loops, and meshes are defined. Example problems demonstrate using Kirchhoff's laws to find unknown currents and voltages in circuits. The document concludes by introducing techniques for circuit analysis including equivalent resistance of series and parallel resistors and Y-Δ transformations.
This document discusses periodic waveforms and examples of periodic motion including pendulums, bouncing balls, and vibrating strings. It then summarizes how a 555 timer circuit can produce a steady train of pulses using a capacitor and resistors, and describes applications of the 555 timer such as producing audio signals and LED lighting. The document also discusses using a tank circuit with an inductor and capacitor to produce oscillating signals.
Kirchhoff's laws describe the conservation of electric charge and energy in electrical circuits. There are two Kirchhoff's laws: 1) Kirchhoff's current law (KCL) states that the algebraic sum of currents in a network meeting at a point is zero. 2) Kirchhoff's voltage law (KVL) states that the directed sum of the potential differences around any closed network loop is zero. Mesh analysis and nodal analysis are methods used to solve planar circuits using KCL and KVL. Thevenin's theorem states that any linear electrical network can be reduced to an equivalent circuit of a voltage source in series with a resistor at its terminals.
This document introduces a presentation on the superposition theorem and Norton's theorem given by six students: Mahmudul Hassan, Mahmudul Alam, Sabbir Ahmed, Asikur Rahman, Omma Habiba, and Israt Jahan. The superposition theorem allows analysts to determine voltages and currents in circuits with multiple sources by considering each source independently and then summing their effects. Norton's theorem represents a linear two-terminal circuit as an equivalent circuit with a current source in parallel with a resistor. The document provides examples of applying both theorems to solve circuit problems.
1) The document is a lab manual for an Electrical Engineering measurement lab course. It details 10 experiments involving measuring devices like oscilloscopes, multimeters, and bridges.
2) The first experiment involves studying oscilloscopes, their working principles, and different types of probes. Block diagrams and features of oscilloscopes are described.
3) Power factor is defined as the ratio between real power and apparent power. A power factor meter and phase shifter circuit are explained along with calculations for power factor correction by adding a capacitor.
The Electric Circuit And Kirchhoff’S Rules by Studentskulachihansraj
The document discusses Kirchhoff's rules, which are two simple laws that allow the analysis of electric circuits:
1) Junction Rule - At any junction, the total current entering must equal the total current leaving.
2) Loop Rule - The algebraic sum of potential differences (voltage drops and rises) around any closed loop must be zero.
The rules are based on the principles of charge and energy conservation and allow analysis of complex circuits through application of the rules at junctions and loops.
Lab 5 BASIC CIRCUITS( Resistors, Voltage,and Current with.docxfestockton
Lab 5: BASIC CIRCUITS
( Resistors, Voltage,
and Current with MATLAB adapted from P-178 DC Circuit Labs )
Introduction
:
Electric circuits can be defined as closed or continuous paths in which electric currents are confined and around which electric currents can be caused to flow. Electrical circuits are an essential part of daily living, and may be found in heavy and light industry, commercial installations and operations, and residential applications. Modern life and its many conveniences seem inconceivable without the use of electric circuits.
The total resistance of a circuit is the sum of the individual resistances of the power source, the wiring, and the load. The load resistance is generally much higher than either the resistance of the power source or the wiring. The resistances of the wiring are usually neglected in classroom laboratory experiments. Very rarely is circuit wiring significant in experimental work. In these cases we consider the loads resistances to be the only resistance. Wiring resistance may be considerable in the case of transmission cables, as well as telephone lines, which are many miles long, and we have a lab which investigates and calculates the resistance in such cables and the lost power and energy due to these lengths.
If an arbitrary load of relatively low resistance were connected to an existing power supply or voltage source, an excessive current might flow to the load, causing burn up or other malfunctions with the load and wiring.
The current can be reduced
by reducing the source voltage, but this is not always feasible and is frequently impossible. The resistances of the voltage source or the load could be increased, but these are usually built right into the source or load. Resistances of connecting wires are so low that miles would be needed to increase the circuit resistance by more than a few dozen ohms. A selection of materials for connecting wires might be useful, but a better method would be to creation of a device that is specifically a resistor that can be included with the circuit to give the net or total resistance needed to provide the desired current for the voltage source involved.
In any DC circuit, the total current is equal to the power source voltage divided by the total or equivalent resistance. For a Series Circuit, this is the only current. This means that if the current in some portion of the circuit is known, the total current and the current through every part of the circuit is known. The sum of the voltage drops across the resistors in series is equal to the power supply voltage.
In Parallel Circuits, the total current from the power source divides into different paths as in approaches the parallel branches. The voltage drop across parallel branches is the same for all the branches. If the voltage drop for one branch is known, the voltage drop for all the parallel branches is known.
The sum of the currents in the various branches is equal to the current from the po.
This document discusses Thévenin's theorem in electrical circuit theory. It begins with an abstract and introduction to circuit theorems and their scope. Next, it describes the origination of Thévenin's theorem by Léon Charles Thévenin in 1882. The document then explains Thévenin's equivalent circuit, how to calculate the Thévenin voltage and resistance, and some applications and limitations of the theorem, including that it is not applicable to non-linear circuits. It also discusses how the theorem can be applied to AC circuits and proven in a lab.
This document discusses and provides examples of applying network theorems, including Thevenin's theorem, Norton's theorem, and the superposition theorem, to calculate currents in branches of circuits. These theorems allow complex networks to be reduced to simpler equivalent circuits. Thevenin's theorem replaces a network with a voltage source in series with a resistance, while Norton's theorem uses a current source in parallel with a resistance. The superposition theorem allows calculating the total current as the sum of the currents from individual voltage sources. Examples are provided to calculate a current using each theorem and nodal analysis, and the results are shown to be the same, demonstrating the utility of network theorems in circuit analysis.
This document reports on an electrical engineering lab experiment involving the superposition principle and Thevenin's theorem. The experiment used resistors, power supplies, and multimeters to measure voltages and currents in circuits. For the superposition principle part, measurements were taken with individual and combined sources and compared. For Thevenin's theorem, voltage and current across a variable load resistor were measured and recorded in a table to determine the equivalent resistance and voltage of the original circuit.
The superposition theorem allows the analysis of circuits with multiple sources by considering each source independently and adding their effects. It can be applied when circuit elements are linear and bilateral. To use it, all ideal voltage sources except one are short circuited and all ideal current sources except one are open circuited. Dependent sources are left intact. This allows the circuit to be solved for each source individually and the results combined through superposition. Examples demonstrate finding currents through specific elements in circuits with multiple independent and dependent sources. A limitation is that superposition cannot be used to determine total power due to power being related to current squared.
The document summarizes key concepts about Kirchhoff's laws, Thévenin's and Norton's theorems, and network analysis techniques. Specifically:
- Kirchhoff's laws deal with current and voltage in electrical circuits and are based on conservation of charge and energy. The junction rule states the sum of currents at a node is zero, and the loop rule states the algebraic sum of voltages in a closed loop is zero.
- Thévenin's and Norton's theorems allow any two-terminal linear network to be reduced to an equivalent circuit with a voltage or current source and single impedance. This simplifies analysis and understanding how the network responds to changes.
- Network analysis methods like
Infomatica, as it stands today, is a manifestation of our values, toil, and dedication towards imparting knowledge to the pupils of the society. Visit us: http://www.infomaticaacademy.com/
Presentation about chapter 1 of electrical circuit analysis. standard prefixes. basic terminology power,current,voltage,resistance.How power is absorbed by the circuit and its calculation with passive sign convention.
This file is about Introduction to electrical circuit analysis.Main elements of a circuit power,current,voltage,resistance. Standard SI units and prefixes.Calculation of how much power is consumed by circuit by passive sign convention
1. The document discusses various network theorems and techniques used to analyze electrical circuits, including Maxwell's mesh current method, nodal analysis, superposition theorem, Thevenin's theorem, and the maximum power transfer theorem.
2. Key terms are defined, such as linear/non-linear circuits, active/passive elements, nodes, junctions, branches, loops, and meshes.
3. Examples are provided to demonstrate applying the theorems to solve for unknown currents and voltages in circuits. The maximum power transfer theorem states that maximum power is transferred when the load resistance equals the internal resistance of the source.
This document discusses superposition and its use in analyzing circuits with both AC and DC sources. Superposition allows a circuit to be solved by separately analyzing the individual effects of each independent source. The key steps are to solve the circuit for each source alone by shorting or opening the other sources; then combine the individual voltage and current results. Example 1 uses two DC sources in a circuit to demonstrate the technique. Example 2 applies superposition to an RC circuit with both an AC and DC source, calculating and measuring the separate and combined voltage effects across the resistor and capacitor.
Batteries -Introduction – Types of Batteries – discharging and charging of battery - characteristics of battery –battery rating- various tests on battery- – Primary battery: silver button cell- Secondary battery :Ni-Cd battery-modern battery: lithium ion battery-maintenance of batteries-choices of batteries for electric vehicle applications.
Fuel Cells: Introduction- importance and classification of fuel cells - description, principle, components, applications of fuel cells: H2-O2 fuel cell, alkaline fuel cell, molten carbonate fuel cell and direct methanol fuel cells.
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEMHODECEDSIET
Time Division Multiplexing (TDM) is a method of transmitting multiple signals over a single communication channel by dividing the signal into many segments, each having a very short duration of time. These time slots are then allocated to different data streams, allowing multiple signals to share the same transmission medium efficiently. TDM is widely used in telecommunications and data communication systems.
### How TDM Works
1. **Time Slots Allocation**: The core principle of TDM is to assign distinct time slots to each signal. During each time slot, the respective signal is transmitted, and then the process repeats cyclically. For example, if there are four signals to be transmitted, the TDM cycle will divide time into four slots, each assigned to one signal.
2. **Synchronization**: Synchronization is crucial in TDM systems to ensure that the signals are correctly aligned with their respective time slots. Both the transmitter and receiver must be synchronized to avoid any overlap or loss of data. This synchronization is typically maintained by a clock signal that ensures time slots are accurately aligned.
3. **Frame Structure**: TDM data is organized into frames, where each frame consists of a set of time slots. Each frame is repeated at regular intervals, ensuring continuous transmission of data streams. The frame structure helps in managing the data streams and maintaining the synchronization between the transmitter and receiver.
4. **Multiplexer and Demultiplexer**: At the transmitting end, a multiplexer combines multiple input signals into a single composite signal by assigning each signal to a specific time slot. At the receiving end, a demultiplexer separates the composite signal back into individual signals based on their respective time slots.
### Types of TDM
1. **Synchronous TDM**: In synchronous TDM, time slots are pre-assigned to each signal, regardless of whether the signal has data to transmit or not. This can lead to inefficiencies if some time slots remain empty due to the absence of data.
2. **Asynchronous TDM (or Statistical TDM)**: Asynchronous TDM addresses the inefficiencies of synchronous TDM by allocating time slots dynamically based on the presence of data. Time slots are assigned only when there is data to transmit, which optimizes the use of the communication channel.
### Applications of TDM
- **Telecommunications**: TDM is extensively used in telecommunication systems, such as in T1 and E1 lines, where multiple telephone calls are transmitted over a single line by assigning each call to a specific time slot.
- **Digital Audio and Video Broadcasting**: TDM is used in broadcasting systems to transmit multiple audio or video streams over a single channel, ensuring efficient use of bandwidth.
- **Computer Networks**: TDM is used in network protocols and systems to manage the transmission of data from multiple sources over a single network medium.
### Advantages of TDM
- **Efficient Use of Bandwidth**: TDM all
Harnessing WebAssembly for Real-time Stateless Streaming PipelinesChristina Lin
Traditionally, dealing with real-time data pipelines has involved significant overhead, even for straightforward tasks like data transformation or masking. However, in this talk, we’ll venture into the dynamic realm of WebAssembly (WASM) and discover how it can revolutionize the creation of stateless streaming pipelines within a Kafka (Redpanda) broker. These pipelines are adept at managing low-latency, high-data-volume scenarios.
Literature Review Basics and Understanding Reference Management.pptxDr Ramhari Poudyal
Three-day training on academic research focuses on analytical tools at United Technical College, supported by the University Grant Commission, Nepal. 24-26 May 2024
Understanding Inductive Bias in Machine LearningSUTEJAS
This presentation explores the concept of inductive bias in machine learning. It explains how algorithms come with built-in assumptions and preferences that guide the learning process. You'll learn about the different types of inductive bias and how they can impact the performance and generalizability of machine learning models.
The presentation also covers the positive and negative aspects of inductive bias, along with strategies for mitigating potential drawbacks. We'll explore examples of how bias manifests in algorithms like neural networks and decision trees.
By understanding inductive bias, you can gain valuable insights into how machine learning models work and make informed decisions when building and deploying them.
Embedded machine learning-based road conditions and driving behavior monitoringIJECEIAES
Car accident rates have increased in recent years, resulting in losses in human lives, properties, and other financial costs. An embedded machine learning-based system is developed to address this critical issue. The system can monitor road conditions, detect driving patterns, and identify aggressive driving behaviors. The system is based on neural networks trained on a comprehensive dataset of driving events, driving styles, and road conditions. The system effectively detects potential risks and helps mitigate the frequency and impact of accidents. The primary goal is to ensure the safety of drivers and vehicles. Collecting data involved gathering information on three key road events: normal street and normal drive, speed bumps, circular yellow speed bumps, and three aggressive driving actions: sudden start, sudden stop, and sudden entry. The gathered data is processed and analyzed using a machine learning system designed for limited power and memory devices. The developed system resulted in 91.9% accuracy, 93.6% precision, and 92% recall. The achieved inference time on an Arduino Nano 33 BLE Sense with a 32-bit CPU running at 64 MHz is 34 ms and requires 2.6 kB peak RAM and 139.9 kB program flash memory, making it suitable for resource-constrained embedded systems.
A SYSTEMATIC RISK ASSESSMENT APPROACH FOR SECURING THE SMART IRRIGATION SYSTEMSIJNSA Journal
The smart irrigation system represents an innovative approach to optimize water usage in agricultural and landscaping practices. The integration of cutting-edge technologies, including sensors, actuators, and data analysis, empowers this system to provide accurate monitoring and control of irrigation processes by leveraging real-time environmental conditions. The main objective of a smart irrigation system is to optimize water efficiency, minimize expenses, and foster the adoption of sustainable water management methods. This paper conducts a systematic risk assessment by exploring the key components/assets and their functionalities in the smart irrigation system. The crucial role of sensors in gathering data on soil moisture, weather patterns, and plant well-being is emphasized in this system. These sensors enable intelligent decision-making in irrigation scheduling and water distribution, leading to enhanced water efficiency and sustainable water management practices. Actuators enable automated control of irrigation devices, ensuring precise and targeted water delivery to plants. Additionally, the paper addresses the potential threat and vulnerabilities associated with smart irrigation systems. It discusses limitations of the system, such as power constraints and computational capabilities, and calculates the potential security risks. The paper suggests possible risk treatment methods for effective secure system operation. In conclusion, the paper emphasizes the significant benefits of implementing smart irrigation systems, including improved water conservation, increased crop yield, and reduced environmental impact. Additionally, based on the security analysis conducted, the paper recommends the implementation of countermeasures and security approaches to address vulnerabilities and ensure the integrity and reliability of the system. By incorporating these measures, smart irrigation technology can revolutionize water management practices in agriculture, promoting sustainability, resource efficiency, and safeguarding against potential security threats.
Advanced control scheme of doubly fed induction generator for wind turbine us...IJECEIAES
This paper describes a speed control device for generating electrical energy on an electricity network based on the doubly fed induction generator (DFIG) used for wind power conversion systems. At first, a double-fed induction generator model was constructed. A control law is formulated to govern the flow of energy between the stator of a DFIG and the energy network using three types of controllers: proportional integral (PI), sliding mode controller (SMC) and second order sliding mode controller (SOSMC). Their different results in terms of power reference tracking, reaction to unexpected speed fluctuations, sensitivity to perturbations, and resilience against machine parameter alterations are compared. MATLAB/Simulink was used to conduct the simulations for the preceding study. Multiple simulations have shown very satisfying results, and the investigations demonstrate the efficacy and power-enhancing capabilities of the suggested control system.
1. CIRCUIT SIMULATION -(E) LABORATORY REPORT
2021-2022
DEPARTMENT OF ELECTRICAL ENGINEERING
SUBMITTED BY:
ANSHUMAN SINGH
5th SEM
ROLL NUMBER: 20UELE6006
1
2. S.NO TITLE DATE PAGE NO. REMARKS
1.
INTRODUCTION OF PS-PICE AND ITS
LIBRARY FUNCTIONS.
2. TO VERIFY KCL & KVL IN A GIVEN
ELECTRICAL DC NETWORK USING PS-PICE
SIMULATIONS.
3.
TO VERIFY SUPERPOSITION THEOREM FOR
INDEPENDENT SOURCE DC NETWORK
USING PS-PICE.
TO VERIFY THEVENIN’S
THEOREM FOR INDEPENDENT
SOURCE DC NETWORK USING PS-
PICE.
4.
TO VERIFY MAXIMUM POWER TRANSFER
THEOREM IN A GIVEN ELECTRICAL DC
NETWORK USING PS-PICE SIMULATION.
5.
2
3. EXPERIMENT - 1
AIM: INTRODUCTION OF PS-PICE AND ITS LIBRARY FUNCTIONS.
THEORY:
• SPICE WAS FIRST DEVELOPED AT THE UNIVERSITY OF CALIFORNIA, BERKELEY, IN THE EARLY 1970S.
SUBSEQUENTLY AN IMPROVED VERSION SPICE 2 WAS AVAILABLE IN THE MID-1970S ESPECIALLY TO SUPPORT
COMPUTER AIDED DESIGN.
• PSPICE WAS RELEASED IN JANUARY 1984, AND WAS THE FIRST VERSION OF UC BERKELEY SPICE AVAILABLE ON
AN IBM PERSONAL COMPUTER. PSPICE LATER INCLUDED A WAVEFORM VIEWER AND ANALYSER PROGRAM
CALLED PROBE. SUBSEQUENT VERSIONS IMPROVED ON PERFORMANCE AND MOVED TO DEC/VAX
MINICOMPUTERS, SUN WORKSTATIONS, APPLE MACINTOSH, AND MICROSOFT WINDOWS. VERSION 3.06 WAS
RELEASED IN 1988, AND HAD A "STUDENT VERSION" AVAILABLE WHICH WOULD ALLOW A MAXIMUM OF UP TO
TEN TRANSISTORS TO BE INSERTED.
• ORCAD EE PSPICE IS A SPICE CIRCUIT SIMULATOR APPLICATION FOR SIMULATION AND VERIFICATION OF
ANALOG AND MIXED-SIGNAL CIRCUITS.[17] PSPICE IS AN ACRONYM FOR PERSONAL SIMULATION PROGRAM
WITH INTEGRATED CIRCUIT EMPHASIS.
• PSPICE WAS A MODIFIED VERSION OF THE ACADEMICALLY DEVELOPED SPICE, AND WAS COMMERCIALIZED BY
MICROSIM IN 1984. MICROSIM WAS PURCHASED BY ORCAD A DECADE LATER IN 1998.
ORCAD PSPICE DESIGNER IS AVAILABLE IN TWO OPTIONS: PSPICE DESIGNER AND PSPICE DESIGNER PLUS.
3
4. GENERAL GUIDELINE ON HOW TO USE PSPICE:
THE GENERAL PROCEDURE FOR USING PSPICE CONSISTS OF 3 BASIC STPES.
STEP 1
THE USER DRAWS THE CIRCUIT IN SCHEMATIC FORM WHICH HE WANTS TO SIMULATE.
STEP 2
THE USER SPECIFIES THE TYPE OF ANALYSIS DESIRED, AND DIRECTS PSPICE TO PERFORM THAT
ANALYSIS. THIS CAN, FOR INSTANCE, BE DC ANALYSIS, AC ANALYSIS, TRANSIENT ANALYSIS...
STEP 3
THE USER INSTRUCTS THE COMPUTER TO PRINT OR PLOT THE RESULTS OF THE ANALYSIS. IN THIS STEP,
THE USER SEES THE GRAPHICAL RESULTS OF THE ANALYSIS DONE. FOR EXAMPLE, HE CAN SEE THE
GRAPH OF THE OUTPUT VOLTAGE VS. OUTPUT CURRENT (V VS. I), OR ANY DATA WHICH HE WANTS TO
ANALYZE.
4
5. EXPERIMENT- 2
AIM: TO VERIFY KCL & KVL IN A GIVEN ELECTRICAL DC NETWORK USING PS-
PICE SIMULATIONS.
COMPONENTS USED:
S.NO COMPONENT NOTATION QUANTITY VALUES
1.
2.
3.
4.
RESISTORS
VOLTAGE SOURCE
CURRENT SOURCE
GROUND
R1,R2,R3,R4,R5
V1,V2,V3
I3
GND
5
3
1
1
10Ω,8Ω,7Ω,17Ω,100Ω
10V,10V,15V
15A
0V
5
6. THEORY: IN 1845, A GERMAN PHYSICIST, GUSTAV KIRCHHOFF DEVELOPED A PAIR OR SET OF RULES OR LAWS
WHICH DEAL WITH THE CONSERVATION OF CURRENT AND ENERGY WITHIN ELECTRICAL CIRCUITS. THESE TWO
RULES ARE COMMONLY KNOWN AS: KIRCHHOFFS CIRCUIT LAWS WITH ONE OF KIRCHHOFFS LAWS DEALING WITH
THE CURRENT FLOWING AROUND A CLOSED CIRCUIT, KIRCHHOFFS CURRENT LAW, (KCL) WHILE THE OTHER LAW
DEALS WITH THE VOLTAGE SOURCES PRESENT IN A CLOSED CIRCUIT, KIRCHHOFFS VOLTAGE LAW, (KVL).
KIRCHHOFFS FIRST LAW – THE CURRENT LAW, (KCL):
KIRCHHOFFS CURRENT LAW OR KCL, STATES THAT THE “TOTAL CURRENT OR CHARGE ENTERING A JUNCTION OR
NODE IS EXACTLY EQUAL TO THE CHARGE LEAVING THE NODE AS IT HAS NO OTHER PLACE TO GO EXCEPT TO LEAVE,
AS NO CHARGE IS LOST WITHIN THE NODE“. IN OTHER WORDS THE ALGEBRAIC SUM OF ALL THE CURRENTS
ENTERING AND LEAVING A NODE MUST BE EQUAL TO ZERO, I(EXITING) + I(ENTERING) = 0. THIS IDEA BY KIRCHHOFF IS
COMMONLY KNOWN AS THE CONSERVATION OF CHARGE.
6
7. HERE, THE THREE CURRENTS ENTERING THE NODE, I1, I2, I3 ARE ALL POSITIVE IN VALUE AND THE TWO CURRENTS LEAVING THE
NODE, I4 AND I5 ARE NEGATIVE IN VALUE. THEN THIS MEANS WE CAN ALSO REWRITE THE EQUATION AS;
I1 + I2 + I3 – I4 – I5 = 0
THE TERM NODE IN AN ELECTRICAL CIRCUIT GENERALLY REFERS TO A CONNECTION OR JUNCTION OF TWO OR MORE CURRENT
CARRYING PATHS OR ELEMENTS SUCH AS CABLES AND COMPONENTS. ALSO FOR CURRENT TO FLOW EITHER IN OR OUT OF A
NODE A CLOSED CIRCUIT PATH MUST EXIST. WE CAN USE KIRCHHOFF’S CURRENT LAW WHEN ANALYSING PARALLEL CIRCUITS.
KIRCHHOFFS SECOND LAW – THE VOLTAGE LAW, (KVL)
KIRCHHOFFS VOLTAGE LAW OR KVL, STATES THAT “IN ANY CLOSED LOOP NETWORK, THE TOTAL VOLTAGE AROUND
THE LOOP IS EQUAL TO THE SUM OF ALL THE VOLTAGE DROPS WITHIN THE SAME LOOP” WHICH IS ALSO EQUAL TO
ZERO. IN OTHER WORDS THE ALGEBRAIC SUM OF ALL VOLTAGES WITHIN THE LOOP MUST BE EQUAL TO ZERO. THIS
IDEA BY KIRCHHOFF IS KNOWN AS THE CONSERVATION OF ENERGY.
7
8. STARTING AT ANY POINT IN THE LOOP CONTINUE IN THE SAME DIRECTION NOTING THE DIRECTION OF ALL THE
VOLTAGE DROPS, EITHER POSITIVE OR NEGATIVE, AND RETURNING BACK TO THE SAME STARTING POINT. IT IS
IMPORTANT TO MAINTAIN THE SAME DIRECTION EITHER CLOCKWISE OR ANTI-CLOCKWISE OR THE FINAL VOLTAGE
SUM WILL NOT BE EQUAL TO ZERO. WE CAN USE KIRCHHOFF’S VOLTAGE LAW WHEN ANALYSING SERIES CIRCUITS.
CIRCUIT DIAGRAM:
8
9. METHODOLOGY:
1. SELECT THE ‘GET NEW PART’ BUTTON THEN COLLECT ALL THE REQUIRED COMPNENTS FOR YOUR
CIRCUIT.
2. CONNECT ALL THE COMPONENTS WITH THE HELP OF CONNECTING WIRES.
3. NOW NAME THE COMPONENTS AND GIVE RESPECTIVE VALUES TO THE COMPONENTS.
4. FIRST SIMULATE THE CIRCUIT AND NOTE CURRENT IN EACH BRANCH AND ANALYSE CURRENT AT A
PARTICULAR NODE A.
5. NOW ADD A BRANCH IN CIRCUIT WITH RESISTOR R5.
6. NOW SIMULATE THE CIRCUIT AND NOTE CURRENT IN EACH BRANCH AND ANALYSE CURRENT AT
PREVIOUS NODE.
7. OBSERVE IF THEIR IS ANY DIFFERENCE IN BOTH CASES.
8. SIMILARLY,OBSERVE VOLTAGE DROP IN ANY CLOSE LOOP IN BOTH CASES AND OBSERVE THE
DIFFERENCE.
ANALTYTICAL SOLUTION AND OBSERVATION:
NEXT PAGE----->
9
11. RESULT AND DISCUSSION:
WE HAVE VERIFIED KVL AND KCL AND SEEN THAT THERE IS SOME AMOUNT OF ERROR
BETWEEN ANALYTICAL VALUE AND SIMULATED VALUE THAT MAYBE BECAUSE OF
APPROXIMATION AT SOME STEPS.
ALSO AFTER ADDING ONE MORE BRANCH WITH RESISTOR R5 KCL AND KVL IS STILL VALID
BUT THE VALUES OF CURRENT CHANGES BECAUSE SOME AMOUNT OF CURRENT GOES
INTO THE R5 BRANCH AND ALSO VOLTAGE AT NODE CHANGES.
*******
11
12. EXPERIMENT - 3
AIM: TO VERIFY SUPERPOSITION THEOREM FOR DEPENDENT AND INDEPENDENT
SOURCE DC NETWORK USING PS-PICE.
S.NO COMPONENT NOTATION QUANTITY VALUES
1.
2.
3.
4.
RESISTORS
VOLTAGE SOURCE
CURRENT SOURCE
GROUND
R1,RX,R3,R4,R5
V1,V2,V3
I3
GND
5
3
1
1
10V,10V,15V
15A
0V
COMPONENTS USED :
70Ω,40Ω,30Ω,30Ω,50Ω
12
13. THEORY :
SUPERPOSITION THEOREM STATES THAT IN ANY LINEAR, BILATERAL NETWORK WHERE MORE THAN ONE SOURCE IS PRESENT,
THE RESPONSE ACROSS ANY ELEMENT IN THE CIRCUIT, IS THE SUM OF THE RESPONSES OBTAINED FROM EACH SOURCE
CONSIDERED SEPARATELY WHILE ALL OTHER SOURCES ARE REPLACED BY THEIR INTERNAL RESISTANCE. SUPERPOSITION
THEOREM IS A CIRCUIT ANALYSIS THEOREM THAT IS USED TO SOLVE THE NETWORK WHERE TWO OR MORE SOURCES ARE
PRESENT AND CONNECTED.
TO CALCULATE THE INDIVIDUAL CONTRIBUTION OF EACH SOURCE IN A CIRCUIT, THE OTHER SOURCE MUST BE REPLACED OR
REMOVED WITHOUT AFFECTING THE FINAL RESULT. WHILE REMOVING A VOLTAGE SOURCE, ITS VALUE IS SET TO ZERO. THIS IS
DONE BY REPLACING THE VOLTAGE SOURCE WITH A SHORT CIRCUIT. WHEN REMOVING A CURRENT SOURCE, ITS VALUE IS SET
TO ZERO. THIS IS DONE BY REPLACING THE CURRENT SOURCE WITH AN OPEN CIRCUIT.
THE SUPERPOSITION THEOREM IS VERY IMPORTANT IN CIRCUIT ANALYSIS BECAUSE IT CONVERTS A COMPLEX CIRCUIT INTO A
NORTON OR THEVENIN EQUIVALENT CIRCUIT.
GUIDELINES TO KEEP IN MIND WHILE USING THE SUPERPOSITION THEOREM
•WHEN YOU SUM THE INDIVIDUAL CONTRIBUTIONS OF EACH SOURCE, YOU SHOULD BE CAREFUL WHILE ASSIGNING SIGNS TO
THE QUANTITIES. IT IS SUGGESTED TO ASSIGN A REFERENCE DIRECTION TO EACH UNKNOWN QUANTITY. IF A CONTRIBUTION
FROM A SOURCE HAS THE SAME DIRECTION AS THE REFERENCE DIRECTION, IT HAS A POSITIVE SIGN IN THE SUM; IF IT HAS THE
OPPOSITE DIRECTION, THEN A NEGATIVE SIGN.
•TO USE THE SUPERPOSITION THEOREM WITH CIRCUIT CURRENTS AND VOLTAGES, ALL THE COMPONENTS MUST BE LINEAR.
•IT SHOULD BE NOTED THAT THE SUPERPOSITION THEOREM DOES NOT APPLY TO POWER, AS POWER IS NOT A LINEAR
QUANTITY. 13
14. METHODOLOGY:
1. SELECT THE ‘GET NEW PART’ BUTTON THEN COLLECT ALL THE REQUIRED COMPNENTS FOR YOUR
CIRCUIT.
2. CONNECT ALL THE COMPONENTS WITH THE HELP OF CONNECTING WIRES.
3. NOW NAME THE COMPONENTS FOR YOUR CONVENIENCE WE HAVE HERE NAMED THE TARGETED
RESISTOR RX ACROSS WHICH WE HAVE TO FIND VOLTAGE DROP.
4. FIRST SIMULATE THE ORIGINAL CIRCUIT AND NOTE THE VOLTAGE ACROSS RX AND CONSIDER IT AS VX.
5. FIRST REPLACE V1 VOLTAGE SOURCE FROM IT’S INTERNAL RESISTANCE i.e SHORT THE TERMINALS.
6. NOW SIMULATE THE CIRCUIT AND NOTE THE VOLTAGE ACROSS RX AND CONSIDER IT AS VX1.
7. NOW REPLACE SECOND ACTIVE SOURCE WITH IT’S INTERNAL RESISTANCE i.e CURRENT SOURCE IN OUR
CASE.
8. NOW SIMULATE THE CIRCUIT AND NOTE THE VOLTAGE ACROSS RX AND CONSIDER IT AS VX2.
9. DO ALGEBRAIC SUM OF VX1 AND VX2 TO GET THE REQUIRED VOLTAGE ACROSS RX.
10. COMPARE THIS VOLTAGE WITH ORIGINAL CIRCUIT AND LOOK FOR AN ERROR.
ANALYTICAL SOLUTION AND OBSERVATION :
NEXT PAGE------>
14
18. RESULT AND DISCUSSION:
WE HAVE SUCCESSFULLY VERIFIED SUPERPOSITION THEOREM AND SEEN THAT THERE IS SOME
AMOUNT OF ERROR IN VOLTAGE ACROSS RX MAYBE BECAUSE OF APPROXIMATION AT SOME
STEPS.
******
18
19. EXPERIMENT N0 - 4
AIM: TO VERIFY THEVENIN’S THEOREM FOR INDEPENDENT SOURCE DC NETWORK
USING PS-PICE.
S.NO COMPONENT NOTATION QUANTITY VALUES
1.
2.
3.
4.
RESISTORS
VOLTAGE SOURCE
CONNECTING WIRES
GROUND
R1,R2,R3,RL
V1
-
GND
4
1
1
1
15V
-
0V
50Ω,60Ω,70Ω,100Ω
COMPONENTS USED:
19
20. THEORY: THEVENIN’S THEOREM STATES THAT IT IS POSSIBLE TO SIMPLIFY ANY LINEAR
CIRCUIT, IRRESPECTIVE OF HOW COMPLEX IT IS, TO AN EQUIVALENT CIRCUIT WITH A SINGLE
VOLTAGE SOURCE AND A SERIES RESISTANCE.
THEVENIN THEOREM APPLICATIONS
•THEVENIN’S THEOREM IS USED IN THE ANALYSIS OF POWER SYSTEMS.
•THEVENIN’S THEOREM IS USED IN SOURCE MODELLING AND RESISTANCE MEASUREMENT USING THE
WHEATSTONE BRIDGE.
THEVENIN THEOREM LIMITATIONS
•THEVENIN’S THEOREM IS USED ONLY IN THE ANALYSIS OF LINEAR CIRCUITS.
•THE POWER DISSIPATION OF THE THEVENIN EQUIVALENT IS NOT IDENTICAL TO THE POWER DISSIPATION
OF THE REAL SYSTEM. 20
21. THEVENIN’S THEOREM EXAMPLE
STEP 1: FOR THE ANALYSIS OF THE ABOVE CIRCUIT USING THEVENIN’S
THEOREM, FIRSTLY REMOVE THE LOAD RESISTANCE AT THE CENTRE, IN
THIS CASE, 40 Ω.
STEP 2: REMOVE THE VOLTAGE SOURCES’ INTERNAL RESISTANCE BY
SHORTING ALL THE VOLTAGE SOURCES CONNECTED TO THE CIRCUIT, I.E.
V = 0. IF CURRENT SOURCES ARE PRESENT IN THE CIRCUIT, THEN
REMOVE THE INTERNAL RESISTANCE BY OPEN CIRCUITING THE
SOURCES. THIS STEP IS DONE TO HAVE AN IDEAL VOLTAGE SOURCE OR
AN IDEAL CURRENT SOURCE FOR THE ANALYSIS.
STEP 3: FIND THE EQUIVALENT RESISTANCE. IN THE EXAMPLE, THE
EQUIVALENT RESISTANCE OF THE CIRCUIT IS CALCULATED AS FOLLOWS:
WITH THE LOAD RESISTANCE REMOVED AND THE VOLTAGE SOURCE
SHORTED, THE EQUIVALENT RESISTANCE OF THE CIRCUIT IS
CALCULATED AS FOLLOWS:
THE RESISTOR 10 Ω IS PARALLEL TO 20 Ω, THEREFORE THE EQUIVALENT
RESISTANCE OF THE CIRCUIT IS:
RT=(R1×R2)/(R1+R2)=(20×10)/(20+10)=6.67Ω
STEP 4: FIND THE EQUIVALENT VOLTAGE.
21
22. TO CALCULATE THE EQUIVALENT VOLTAGE, RECONNECT THE
VOLTAGE SOURCES BACK INTO THE CIRCUIT. VS = VAB, THEREFORE
THE CURRENT FLOWING AROUND THE LOOP IS CALCULATED AS
FOLLOWS:
I=VR=(20V−10V)/(20Ω+10Ω)=0.33A
THE CALCULATED CURRENT IS COMMON TO BOTH RESISTORS, SO
THE VOLTAGE DROP ACROSS THE RESISTORS CAN BE CALCULATED
AS FOLLOWS:
VAB = 20 – (20 Ω X 0.33 A) = 13.33 V
OR,
VAB = 10 + (10 Ω X 0.33 A) = 13.33 V
THE VOLTAGE DROP ACROSS BOTH RESISTORS IS THE SAME.
STEP 5: DRAW THE THEVENIN’S EQUIVALENT CIRCUIT. THE
THEVENIN’S EQUIVALENT CIRCUIT CONSISTS OF A SERIES
RESISTANCE OF 6.67 Ω AND A VOLTAGE SOURCE OF 13.33 V.
THE CURRENT FLOWING IN THE CIRCUIT IS CALCULATED USING THE
FORMULA BELOW:
I=V/R=13.33V/(6.67Ω+40Ω)=0.286A
22
23. THEVENIN’S THEOREM CAN BE APPLIED TO BOTH AC AND DC CIRCUITS. BUT IT SHOULD BE NOTED THAT THIS
METHOD CAN ONLY BE APPLIED TO AC CIRCUITS CONSISTING OF LINEAR ELEMENTS LIKE RESISTORS,
INDUCTORS, CAPACITORS. LIKE THEVENIN’S EQUIVALENT RESISTANCE, EQUIVALENT THEVENIN’S IMPEDANCE IS
OBTAINED BY REPLACING ALL VOLTAGE SOURCES WITH THEIR INTERNAL IMPEDANCES.
CIRCUIT DIAGRAM:
ORIGINAL CIRCUIT
23
26. METHODOLOGY:
1. SELECT THE ‘GET NEW PART’ BUTTON THEN COLLECT ALL THE REQUIRED COMPNENTS FOR YOUR
CIRCUIT.
2. CONNECT ALL THE COMPONENTS WITH THE HELP OF CONNECTING WIRES.
3. FIRST SIMULATED THE ORIGINAL CIRCUIT AND NOTE THE CURRENT IN RL.
4. NOW OPEN THE TERMINALS ACROSS RL IN THE CIRCUIT AND SIMULATE.
5. NOTE THE VOLTAGE ACROSS THE OPEN CIRCUITED BRANCH CONSIDER IT AS VTH.
6. NOW FOR RTH SHORT THE RL TERMINALS AND SIMULATE THE CIRCUIT.
7. NOTE THE CURRENT IN THE SHORT CIRCUITED BRANCH AND NAME IT AS ISC.
8. FOR RTH DIVIDE VTH BY ISC.
9. NOW DRAW THE THEVENIN’S EQUIVALENT CIRCUIT AND SIMULATE IT.
10. OBSERVE THE READING IN EQUIVALENT AND ORIGINAL CIRCUIT.
11. IF READINGS ARE CORRECT DO ERROR OBSERVATION BETWEEN SIMULATED AND ANALYTICAL VALUES.
26
27. RESULT AND DISCUSSION:
WE HAVE SUCCESSFULLY VERIFIED THEVENIN THEOREM AND THEIR IS NO ERROR IN VTH BUT THERE IS
-.13% ERROR IN ISC AND SIMILAR ERROR IN RTH i.e. .13% ERROR.THESE ERRORS ARE MAYBE BECAUSE OF
APPROXIMATION AT SOME STEPS.
27
*******
28. EXPERIMENT NO - 5
AIM: TO VERIFY MAXIMUM POWER TRANSFER THEOREM IN A GIVEN ELECTRICAL DC NETWORK USING
PS-PICE SIMULATION.
S.NO COMPONENT NOTATION QUANTITY VALUES
1.
2.
3.
4.
RESISTORS
VOLTAGE SOURCE
CONNECTING
WIRES
GROUND
R2,R4,R5,R6,R7
V1
-
GND
5
3
-
1
100V
-
0V
COMPONENTS:
28
Rx,100Ω,90Ω,150Ω,300Ω
29. THEORY: THE MAXIMUM POWER TRANSFER THEOREM IS NOT SO MUCH A MEANS OF ANALYSIS AS IT IS AN
AID TO SYSTEM DESIGN. SIMPLY STATED, THE MAXIMUM AMOUNT OF POWER WILL BE DISSIPATED BY A LOAD
RESISTANCE WHEN THAT LOAD RESISTANCE IS EQUAL TO THE THEVENIN/NORTON RESISTANCE OF THE
NETWORK SUPPLYING THE POWER. IF THE LOAD RESISTANCE IS LOWER OR HIGHER THAN THE
THEVENIN/NORTON RESISTANCE OF THE SOURCE NETWORK, ITS DISSIPATED POWER WILL BE LESS THAN THE
MAXIMUM.
THIS IS ESSENTIALLY WHAT IS AIMED FOR IN RADIO TRANSMITTER DESIGN, WHERE THE ANTENNA OR
TRANSMISSION LINE “IMPEDANCE” IS MATCHED TO FINAL POWER AMPLIFIER “IMPEDANCE” FOR MAXIMUM
RADIO FREQUENCY POWER OUTPUT. IMPEDANCE, THE OVERALL OPPOSITION TO AC AND DC CURRENT, IS
VERY SIMILAR TO RESISTANCE AND MUST BE EQUAL BETWEEN SOURCE AND LOAD FOR THE GREATEST
AMOUNT OF POWER TO BE TRANSFERRED TO THE LOAD. A LOAD IMPEDANCE THAT IS TOO HIGH WILL
RESULT IN LOW POWER OUTPUT. A LOAD IMPEDANCE THAT IS TOO LOW WILL NOT ONLY RESULT IN LOW
POWER OUTPUT BUT POSSIBLY OVERHEATING OF THE AMPLIFIER DUE TO THE POWER DISSIPATED IN ITS
INTERNAL (THEVENIN OR NORTON) IMPEDANCE.
MAXIMUM POWER DOESN’T MEAN MAXIMUM EFFICIENCY
MAXIMUM POWER TRANSFER DOES NOT COINCIDE WITH MAXIMUM EFFICIENCY. APPLICATION OF THE MAXIMUM
POWER TRANSFER THEOREM TO AC POWER DISTRIBUTION WILL NOT RESULT IN MAXIMUM OR EVEN HIGH
EFFICIENCY. THE GOAL OF HIGH EFFICIENCY IS MORE IMPORTANT FOR AC POWER DISTRIBUTION, WHICH DICTATES A
RELATIVELY LOW GENERATOR IMPEDANCE COMPARED TO THE LOAD IMPEDANCE.
29
31. METHODOLOGYAND ANALYTICAL SOLUTION:
1. SELECT THE ‘GET NEW PART’ BUTTON THEN
COLLECT ALL THE REQUIRED COMPNENTS FOR
YOUR CIRCUIT.
2. CONNECT ALL THE COMPONENTS WITH THE HELP OF
CONNECTING WIRES.
3. NOW TAKE R2 AS VARIABLE PARAMETER AND
SIMULATE THE CIRCUIT.
4. GRAPH WILL BE SHOWN IN OTHER WINDOW.
31
32. 32
RESULT:
WE HAVE SUCCESSFULLY VERIFIED MAXIMUM POWER TRANSFER THEOREM AND
RESISTANCE AT WHICH MAXIMUM POWER CAME IS 360Ω. i.e. RTH=RX .
********