Department of Computer Science Engineering B. P. Poddar Institute of Management & Technology Laboratory Report on Basic Electrical Engineering Laboratory (ES-EE191) Name: _____________________________ Name: _____________________________ University Roll No: _____________________ University Roll No: _____________________ College Roll No: _______________________ College Roll No: _______________________ Year: ___________ Semester: _________ Year: ___________ Semester: _________ Section: _________ Group: ___________ Section: _________ Group:____________ Session: _____________________________ Session: _____________________________ General Information Course Name Basic Electrical Engineering Laboratory Course Code Course Credit Semester 1st ES-EE191 Year with stream CSE, 1st Year 1 Session 2023-2024 Faculty Instructor/s Class hours and total class load 2 hours/week per batch in odd semester Technical Assistant/s Laboratory Room No. 104 (B-Block) Program Specific Outcomes: PSO1: Students will have proficiency in fundamental engineering and computing techniques and knowledge on contemporary topics like artificial intelligence, data science and distributed computing towards development of optimized algorithmic solutions. PSO2: Students will have capabilities to participate in the development of software and embedded systems through synergized teams to cater to the dynamic needs of the industry and society. Course Objectives Understand the basic concept of various measuring instruments along with real life circuit parameters. Get knowledge of construction of different electrical machines. Acquire knowledge of series and parallel ac circuits and its resonance condition. Understand the need of calibration of measuring instruments Get concept of process to measure power of three phase unbalanced circuit. Acquire knowledge of working of single phase transformer along with its different tests. 2 Safety Norms and precautions 1. Use of mobile phones during laboratory sessions is forbidden. Do not 2. Late arrival is not permitted. 3. Under no circumstances is equipment to be removed from the lab. 1. You are expected to comply with instructions, written or oral, that the instruction given you during the course of the laboratory session. 2. Students must familiarize themselves with the evacuation procedure. Do 3. Observation book of the present lab experiment should be corrected on the same day and record should be corrected on the next scheduled lab session. 4. Prepare for the viva questions. At the end of the experiment, the lab faculty will ask the viva questions and marks are allotted accordingly. Course policies 1. Attendance Attendance is compulsory. Please be respectful to your classmates by being on time. Cell phones should be turned off and kept out of sight. 2. Calculator policy You may need a calculator device 3. Plagiarism Collaboration on performing the experiments and taking measurements is strongly encouraged; however, the lab report you hand in must be solely your own. Sharing written work beforehand is considered as academic dishonesty 4. Disability Support If you have a disabling condition which may interfere with your ability to successfully complete this module, please contact Faculty in charge 5. Make-up Experiment Make-up for a missing experiment will not be offered, normally. The only exceptions to that are illness or emergency (e.g., death in family, a traffic accident, etc.), in which case you may contact your faculty in charge. 6. Experiments Outside Curriculum As per policy you have to perform at least two innovative experiments from the list of innovative experiments to be provided 7.Innovative Micro-project One innovative Micro-project is to be performed during the semester and the report is to be submitted at the end of the session. 8.Instruction Set Complete instruction sets has been provided at the end of the report. 3 Course Assessment Process Continuous Assessment (40) A. Laboratory Reports [15%] Experiment number, Objective, theory, procedure, results, discussion and conclusion B. Laboratory Performance [50%] Attendance and Day to day performance etc. C. Questions and Quizzes at the end of each experiment (15%) D. Internal Assessment Test (20%) Assessment During End Semester Examination (60) A. Circuit Preparation and Laboratory Performance during Semester Examination [33%] Experiments are allotted to the students randomly on lottery basis during examination which they have to complete within stipulated time. B. Viva Voce [33%] There is a viva-voce during examination. C. Answer Script of Laboratory Examination [33%] A brief description on allotted experiment along with data and results must be submitted at the end of the examination. Grading Scale Recommended books Grade Percent score O ≥ 90 E ≥ 80 and < 90 A ≥ 70 and < 80 B ≥ 60 and < 70 C ≥ 50 and < 60 D ≥ 40 and < 50 F < 40 1. D. P. Kothari and I. J. Nagrath, “Basic Electrical Engineering”, Tata McGraw Hill, 2010. 2. D. C. Kulshreshtha, “Basic Electrical Engineering”, McGraw Hill, 2009. 3. V. D. Toro, “Electrical Engineering Fundamentals”, Prentice Hall India, 1989. 4 List of experiments: Exp. No. Name of Experiment 1 General Laboratory rules and precautions for electrical safety. 2 Introduction and uses of the following: i) Voltmeter ii) Ammeter iii) Multi meter iv) Oscilloscope. Demonstration of real-life resistors, capacitors with color-code, inductors and auto-transformers. 3 Demonstration of cut-out section of machines. 4. Calibration of Ammeter & Watt meter 5.(a) 5.(b) 6. Transient response of series R-L Network. Transient response series of R-C Network. Determination of steady state response of R-L-C circuit and calculation of impedance and power factor. 7. Resonance of R-L-C series circuit 8. i) Open-circuit and short-circuit test of 1-ф transformer ii) Load test of 1-ф transformer 9. 10. Page No. Measurement of power in a three phase balanced and unbalanced circuit by two wattmeter method. Experiment outside curriculum. 5 Date of Experiment Grade awarded Signature Experiment No: 1 Title: General Laboratory rules and precautions for electrical safety. Objective: 1. To understand the rules of the electrical laboratory. 2. To describe the basic precaution for electrical safety. Theory: Following general rules and precautions are to be observed all times in the laboratory. 1. There must be at least two people in the laboratory while working on live circuit. 2. Shoes must be worn at all the times. 3. Remove all lose conductive jewelry which may come in contact with the exposes circuit. 4. Do not wear long loose tie, scarf and other loose clothing around machine. 5. When taking measurement, form the habit of using only one hand at a time. 6. No part of live circuit should be touched by bare hand. 7. Keep the body out of the circuit where interconnecting wires and cables are involved. 8. In the work area, the benches and the space should be kept clean. Clear the item which is not used in the experiment. 9. Always check to see whether the power switch is off before plugging in the outlet. Then turn the Instrument /equipment off before unplugging from the outlet. 10. When unplugging the power cord, pull the plug not on the table. 11. When keys are inserted in a circuit, first remove source of power. 12. No underground electrical and electronic apparatus are to be used in the laboratory unless they are doubly insulated. 13. Report any damage to the equipment, partial hazard to laboratory instructor. 14. If in doubt about electrical safety ask the laboratory instructor properly. 15. Regarding specific equipment consult the manual provided by the manufacturer of the equipment. 6 Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 7 PSO1 PSO2 Experiment No: 2 Title: Introduction and uses of the following: i) Voltmeter ii) Ammeter iii) Multi meter iv) Oscilloscope. Demonstration of real life resistors, capacitors with color-code, inductors and auto-transformers. Objective: 1. To explain the uses of voltmeter, ammeter, multimeter, oscilloscope. 2. To demonstrate real life resistors, capacitors with color code, inductors and autotransformers. Theory: Meters are tools used to measure different parameters in the circuit. They are very useful instrument that can be utilized in a number of field. There are two type of meter. One begin the analog and other is the digital. The primary difference between the two is, the display of an analog meter uses a needle to show the value while a digital meter will show the result as number on screen. Most analog electric meters make use of a galvanometer .A galvanometer is a device constructed such that deflection of needle is proportional to current through a coil around the base of a needle. It is used to find direction of current and its magnitude. The resistance of a galvanometer is usually several ohms. Typically a current of a fraction of one milliamp will cause full scale deflection. Therefore it cannot measure high value of voltage and current. Voltmeter: Voltmeter is an electrical measuring device which is used to measure potential difference between two points in a circuit. In order to convert a galvanometer in to voltmeter a very high resistance known as “series resistance” is connected in series with the galvanometer. Let, resistance of galvanometer Rg, Resistance Rx is connected in series to it. The combined resistance= (Rg+Rx).If potential between the points to be measured=V and if galvanometer gives full scale deflection when current Ig passes through it, then V= Ig (Rg+Rx) Rx= (V-IgRg)/Ig Ammeter: Ammeter is an electrical measuring device which is used to measure electric current through the circuit. In order to convert a galvanometer in to an ammeter a very low resistance known as “shunt” resistance is connected parallel to galvanometer is converted in to ammeter. An ammeter is connected in series to a circuit. Let, resistance of galvanometer Rg, and it gives full scale deflection when current Ig is passed through it. Then Vg=IgRg ………………...... (i) Let a shunt of resistance is connected in parallel to galvanometer. Then the current through shunt Is = (I - Ig). Vs=Is Rs Vs = (I-Ig) Rf .................... (ii) Vs=Vg (I-Ig) Rs=Ig Rg Rs= Ig Rg / (I-Ig) 8 Multi meter: A digital multi meter or DMM is one of the most widely used pieces of test equipment today. The standard and basic measurement performed by multi meter are the measurement of amp, volt and ohm. A parts from that these digital multi meters perform many additional measurement by using digital and logic technology. These may include temperature, frequency, continuity, Capacitance etc. The new improved integrated circuit of digital multi meter are more efficient and work with a large accuracy as compared to an analog multi meter. Oscilloscope: The oscilloscope is an electronic instrument widely used in making electronic measurement. The main component of the oscilloscope is the cathode ray tube or CRT. The CRT consist of a vacuum tube in which electrons are boiled off a cathode and accelerated using an electric field toward a phosphorescent screen. When the electrons strike the screen, a burst light is given off. The beam is deflected along the way by vertical and horizontal plates that use electric fields to deflect the electrons. The screen of the oscilloscope has a grid on it called a gradecule. The dials on the oscilloscope give the scale of the gradecule in volts in the vertical direction and second in the horizontal. Autotransformer: It is an electrical transformer with only one winding. Same portion of the winding act as primary and secondary sides of the transformer. It works as a step-down transformer i.e. bring out a high voltage into a low voltage automatically. REAL LIFE RESISTORS: When real resistors are made, the goal is that the component that is being created should be as close as performing the ideal resistor equation based on ohm’s law which says, V=IR. The resistance value of a resistor depends on: (a) The material of the wire. (b) The shape of the wire. The bulk material affects as how difficult it is for electrons to pass through. This property is known as resistivity and it’s reciprocal as conductivity. Again a longer resistor has high resistance than a shorter one because as the electrons suffer more collision as they pass through the atoms of the material. Resistor with greater cross sectional area has lower resistance because electrons have a greater number of available paths to follow. A real resistor breaks down if the power dissipated by the resistor is greater than what construction material can withstand. 9 COLOUR CODE OF RESISTORS: Color Black Brown Red Orange Yellow Green Blue Purple Gray White Gold Silver Band1 0 1 2 3 4 5 6 7 8 9 Band2 0 1 2 3 4 5 6 7 8 9 Band3 0 1 2 3 4 5 6 7 8 9 Multiple 100 (1Ω) 101 (10 Ω) 102 (100 Ω) 103 (1000 Ω) 104 (10 KΩ) 105 (100 KΩ) 106 (1 MΩ) 107 (10 MΩ) 108 (100 MΩ) 109 (1 GΩ ) 10 -1 (100 MΩ) 10 -2 (10 MΩ ) Tolerance = ± 1% = ± 2% = ± 0.5% = ± 0.25% = ± 0.1% = ± 0.05% = ± 5% = ± 10% REAL LIFE CAPACITORS: While making capacitors, the component should be close to performing the ideal capacitor equation, I=C dv/dt. A capacitor is constructed from two conducting surface placed close to each other between the plates, there can be air or any insulating material. The capacitance value depends on the area of plates, thickness of insulator and physical properties of insulating material. Tolerance Tolerance Temperature Band Color Digit A Digit B Multiplier D T>10pf T<10pf Coefficient Black 0 0 x1 ± 20% ± 2.0pF Brown 1 1 x10 ± 1% ± 0.1pF -33×10-6 Red 2 2 x100 ± 2% ± 0.25pF -75×10-6 Orange 3 3 x1,000 ± 3% -150×10-6 Yellow 4 4 x10,000 ± 4% -220×10-6 Green 5 5 x100,000 ± 5% Blue 6 6 x1,000,000 Violet 7 7 Grey 8 8 x0.01 +80%,-20% White 9 9 x0.1 ± 10% Gold x0.1 ± 5% Silver x0.01 ± 10% ± 0.5pF -330×10-6 -470×10-6 -750×10-6 10 ± 1.0pF REAL LIFE INDUCTORS: It is a coil or choke which is a passive two terminal electrical component that stores energy in a magnetic field when electric current flows through it. The working component of the inductor should be based on the ideal inductor equation, V=L di/dt. Result: 11 Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 12 PSO1 PSO2 Experiment No: 3 Title: Demonstration of cut-out section of machines. Objective: 1. To explain different parts of a D.C. Machine and their equivalent features. Theory: 1. DC Machine: A DC Machine is an electro-mechanical energy conversion device. There are two types of DC machines; one is DC generator, and another one is known as DC motor. A DC generator converts mechanical power (ωT) into DC electrical power (EI), whereas, a DC motor converts d.c electrical power into mechanical power. Generally a D.C. machine consist of the following parts. Yoke: It is made of cast iron or cast steel. It provide magnetic flux path, holds the structure and protect the machine from environment. It carries half of the flux produced by the pole. Field: The salient poles are bolted to the inner periphery of the yoke. Poles are bolted to the inner Periphery of the yoke. Poles are made of stack of steel stamped of thickness 1-1.5mm.Field winding consist of a number of terms of enamel insulated cu wires. The windings, concentric in nature and are of two types. The first shunt field is mounted over pole core and is of high resistance. The second, series field is mounted over shunt field for better cooling purpose and convenient for construction. It has a low resistance. The pole shoe is also laminated to reduce eddy current losses. Brushes & Brush holders: It is made of graphite for low voltage machine and it is of cu to reduce voltage drop across resistance. Armature: The armature is made up of stack of soft iron with circular lamination of thickness 0.5 mm. The periphery of this lamination is slotted to receive the distributed armature winding. They are insulated from each other by cast iron of furnish to reduce eddy current losses. The lap connected armature winding is used for high current low voltage machine. Whereas the wave connected armature winding is used for low current high voltage machine. Commutator: It is made of a wedge shaped hard drawn cu. The number of commutator segments are equal to the number of armature coils. The cu segments are insulated from each other by a layer of mica. Shaft & Bearings: Shaft is made of mild steel and supported at the end on bearing. 13 CUT SECTION OF DC MACHINE: 2. Induction Motor: An induction motor is a type of electric motor that converts electric power into rotary motion. An induction motor uses the principle of electromagnetic induction to cause the rotor to turn. The induction motor was created and patented by Nikola Tesla in 1888. Electric current is supplied to the stator, which induces a magnetic field that rotates. The rotating magnetic field interacts with the rotor, inducing current in the rotor. The interaction of the two magnetic fields results in a torque, turning the rotor within the motor casing. Because the induction motor does not use brushes like DC motors, there is less wear of the internal parts. Different parts of an Induction Motor are: Stator: The stator is the stationary portion of the motor and delivers a rotating magnetic field to interact with the rotor. One or more copper windings make up a "pole" within the stator, and there is always an even number of poles within a motor. The electric current alternates through the poles, resulting in a rotating magnetic field. Rotor: The rotor is the central component of the motor, and is fixed to the shaft. The rotor is generally constructed of copper or aluminum strips attached at each end to a circular fixture. This configuration is called a "squirrel cage rotor" because of its appearance. The magnetic field generated by the stator induces a current in the rotor, which then creates its own magnetic field. The interaction of the magnetic fields in the stator and rotor results in a mechanical torque of the rotor. In some induction motors, the copper bars are replaced with slip rings and copper windings that behave in the same way. 14 Bearings: The rotor shaft is held in place by bearings at either end of the motor casing. The bearings minimize the friction of the shaft connection to the casing, increasing the efficiency of the motor. Casing: The casing of the induction motor contains all of the motor components, provides electrical connections and allows for ventilation of the motor parts to reduce heat buildup. The casing design often includes fins to assist with heat dissipation. CUT SECTION OF INDUCTION MOTOR: 3. Synchronous Machine: In a synchronous generator, a DC current is applied to the rotor winding producing a rotor magnetic field. The rotor is then turned by external means producing a rotating magnetic field, which induces a 3-phase voltage within the stator winding. Field windings are the windings producing the main magnetic field (rotor windings). Armature windings are the windings where the main voltage is induced (stator windings). A synchronous machine is an AC machine whose satisfactory operation depends upon the maintenance of the following relationship. Where, • Ns is the synchronous speed in revolution per minute (r.p.m) • f is the supply frequency • P is the number of poles of the machine. When connected to an electric power system, a synchronous machine always maintains the above relationship shown in the equation (1). 15 If the synchronous machine working as a motor fails to maintain the average speed (Ns) the machine will not develop sufficient torque to maintain its rotation and will stop. Then the motor is said to be pulled out of step. In case, when the synchronous machine is operating as a generator, it has to run at a fixed speed called Synchronous speed to generate the power at a particular frequency. As all the appliances or machines are designed to operate at this frequency. In some countries, the value of the frequency is 50 Hz. CUT SECTION OF SYNCHRONOUS MACHINE: 16 OBSERVATIONS: Sl.No. Name of the part 1. Slots(number of slots) 2. Length of commutator 3. No. of segments 4. Width of commutator 5. Depth 6. Pole pitch 7. Length of armature 8. Shoe width 9. Yoke width 10. Length of shaft 11. Core Measurement Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 17 PO9 PO10 PO11 PO12 PSO1 PSO2 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 18 Experiment No: 4 Title: Calibration of Ammeter & Watt meter Objective: 1. To calibrate Test Ammeter & Watt meter with a Standard Ammeter and Voltmeter. Theory: An Ammeter is an instrument that measures electric current and a wattmeter is an instrument that measures electric power. For pure resistive load P=V×I where P is power consumed by the load. V is voltage across and I is current through the load. To calibrate, the reading of the test instruments are compared with a standard instrument. The difference is called error. The error may be positive or negative. The error may be calculated as, (standard reading - test reading). The percentage error is calculated as, %error=(standard reading - test reading)/standard reading ×100% Circuit Diagram: Procedure: 1. Connection is made as shown in the figure. 2. The load is disconnected. The reading of ammeters and wattmeter are noted for no load condition. 3. Any zero error of test meters can be adjusted now. If it is allowed to remain, it would only give a 19 definite offset to the error. 4. The load is connected by setting the switch on. 5. The supply voltage is varied with the help of variac and ten sets of observations are noted covering the entire range of various meters. Devices under test: Name of device Quantity Type Rating Maker`s SL.no name Ammeter Wattmeter Apparatus used: Name of apparatus Quantity Type Rating Maker`s name Voltmeter Ammeter Variac Load 20 SL.no Experimental Data: S. no. Input voltag e Test ammete r VS AT (V) (A) Standard Test Standard Error ammeter wattmeter wattmeter Ammeter Wattmete WS AS WT r (watt) (A) (watt) 1 2 3 4 5 6 7 8 9 10 Calculation: 21 %Error Ammete r Watt-meter Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 22 PSO1 PSO2 Experiment No: 5(a) Title: Transient response of R-L Network. Objective: 1. To study the response of a series R-L circuit, where R=5 Ω, L=1H. Theory: Analysis of behavior of electric circuit reveals that as soon as a circuit is switched from one condition to another either by change of source or by alteration of circuit elements, branch currents and voltage drops change from their initial values to new values. These changes take a short spell of time to settle to permanent values (steady state) till further switching or circuit alteration is attempted. This brief spell of time is called transient time and the value of the variables (current and voltage drop) during this period is called transient value. Let us consider the circuit as shown in the diagram. When switch is connected, the R-L combination is suddenly put across the voltage of V volt. It is found that current does not reach its maximum value instantaneously but takes some finite time. We will now investigate the growth of current i through such an inductive circuit. Applying KVL, we can write, V= (VR+VL) = (iR=L di/dt) After derivation, we get, iL=(V/R).(1-exp-(Rt/L) γ = L/R is known as the time constant of the circuit and is defined as the time at which the current rises to 63% of its steady state value which is V/R. Circuit Diagram: 23 Circuit Diagram in Pspice simulation: 24 Graph: 25 Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 26 PSO1 PSO2 Experiment No: 5(b) Title: Transient response of R-C Network. Objective: To simulate and study the transient response of a series R-C circuit, where, R=5 Ω, C=1F Theory: Let us consider the circuit as shown in the diagram. When switch is closed, the capacitor C is charging from the battery. The voltage across C does not rise to V instantaneously but builds up slowly i.e. exponentially and not linearly. Charging current iC is maximum at the start i.e. When C is uncharged, then it decreases exponentially and finally ceases when potential difference across capacitor plates become equal and opposite to the battery voltage V. The applied voltage V is always equal to the sum of: (i) Resistive drop (iC R) and (ii) voltage across capacitor (VC). V= (iC R) +VC. After derivation, we get voltage across capacitor, VC=V [1 – exp (-t/RC)] .................................... (i) and current iC= IO[ exp (-t/RC)] .....................................ii) T=RC is known as the time constant of the circuit and is defined as the time at which the current falls to 37% of its steady state value which is V/R. Circuit Diagram: 27 Circuit Diagram in Pspice simulation: 28 Graph: 29 OUTCOME OF THE EXPERIMENT: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 30 PSO1 PSO2 Experiment No: 6 Title: Determination of steady state response of R-L-C circuit and calculation of impedance and power factor. Objective: • • • To determine different parameters (e.g., Resistance, Inductance & Capacitance) of an Electrical circuit. To determine total circuit impedance. To determine power factor & phase angle for a given circuit Theory: A circuit is referred as series circuit if same current flow through all the parameters of the circuit (i.e., R,L and C).An alternating voltage of r.m.s. value(v) when applied to an R-L-C series circuit, it produces alternating current having r.m.s. value (I) given by I=V⁄Z where, impedance (Z) = √ (R2 + X2) X=XC-XL, XC> XL and X=XL-XC, XL> XC Note: where X= Net Reactance, XL= Inductive Reactance, XC = Capacitive Reactance. In a 1-φ A.C. Circuit, Power, P = V I Cos φ =Voltage × Current ×Power factor. Here, Power factor = (Total circuit Resistance) / (Total circuit Impedance) Cos φ = R / Z φ=Cos-1 (R/Z) Where, “φ” is the angle between voltage and current called power factor angle. Power factor is lagging when XL > XC. Since the current I lags behind V by angle φ. But power factor is leading when XC > XL , since the current I leads voltage V at an angle φ. 31 Circuit Diagram: Apparatus used: SL.NO. Name of the Apparatus: Range 32 Maker’s name Maker’s serial no: Experimental Data: Sl.N o Applied Voltage Circuit Current (V) (I) In volts In amps Voltage Voltage drop across across Resistance Choke(VChoke) (VR) In Volts In Volts Voltage drop across Resistanc e & Choke (VRL) In Volts Calculation: 33 Voltage across Capacitan ce(VC) In Volts Power (P) in Watts Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 Questionnaires: 34 PO9 PO10 PO11 PO12 PSO1 PSO2 Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 35 Experiment No: 7 Title: Resonance of R-L-C series circuit Objective: To determine the frequency, band width and Q-factor of R-L-C series circuit. Theory: If such a R-L-C circuit be connected across an a.c source of constant voltage V but of frequency varying from zero to infinity then there would be a certain frequency of the applied voltage, which would make XL equal to XC in magnitude. In that case X=0 and Z=R. under this condition the circuit is said to be in electrical resonance. XL-XC = 0, XL=XC=2ᴫf*L= 1/2ᴫf*C. Resonance is a particular condition when reactance becomes zero. The circuit impedance will be minimum for series resonance R-L-C circuit at unity power factor. In above R-L-C series circuit the voltage source is connected between nodes 1 & 0, Inductor is connected between nodes 1 & 2, the capacitor is connected between nodes 2 & 3 and resistor is connected between nodes 3 & 0. The resonating frequency, fr = 1/2ᴫ√ (LC) and from the graph plotted for frequency against voltage across resistor we get, Q = fr / ∆f, ∆f = (f2-f1) Circuit Diagram: 36 Observations: Input Voltage Vin = SL.NO Frequency(HZ) Output Voltage across R 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 37 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 Calculation: 38 Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 39 PSO1 PSO2 Experiment No: 8 Title: i) Open-circuit and short-circuit test of 1-ф transformer ii) Load Test of 1-ф transformer Objective: To obtain the Open-circuit characteristic (magnetization curve) and the short circuit characteristics of 1-ф transformer. Also to find the parameters of it. Electrical equivalent circuit and then to determine its regulation and efficiency. Theory: A transformer is a static electromagnet device by which the voltage level of a source of alternating current can be increased or decreased. From these view point there are two types of transformers - step up transformer and step down transformer. Transformer can transfer electric power from one circuit to another circuit without change of frequency. It can electrically isolate secondary circuit from primary circuit. From electrical point of view, transformer has mainly two parts i.e., core and windings. Windings are made up of conducting material copper. Core is made up of magnetic material, generally silicon steel. Open Circuit Test: It is performed to measure the iron losses.HT side kept open & rated voltage is applied at LT side. No load current = 𝐼𝑂 Iron losses = 𝑊𝑂 Voltmeter reading = 𝑉𝑂 𝐼𝑒 = 𝑊𝑂 𝑉𝑂 𝐼𝑒 = energetic component/core loss component 𝐼𝑚 = √(𝐼𝑂 2 − 𝐼𝑒 2 ) 𝑅𝑂 = 𝑉𝑂 /𝐼𝑒 𝐼𝑚 = magnetizing component & (𝑅𝑂 ,𝑋𝑂 refer to LT side) 𝑋𝑂 = 𝑉𝑂 /𝐼𝑚 Short Circuit Test: It is performed to measure the equivalent resistance & the leakage reactance of the transformer.LT winding is short circuited & a low voltage is gradually applied at the HT side. Let the various readings are 𝑊𝑠𝑐,𝑉𝑆𝐶 , 𝐼𝑆𝐶 . 𝑅 𝑒𝑞 = 𝑊𝑠𝑐/𝐼𝑆𝐶 2 𝑍𝑒𝑞 = 𝑉𝑆𝐶 /𝐼𝑆𝐶 (𝑅 𝑒𝑞 ,𝑋𝑒𝑞 , 𝑍𝑒𝑞 are referred to HT side) 𝑋𝑒𝑞 = √(𝑍𝑒𝑞 2 − 𝑅 𝑒𝑞 2 ) Load Test: Load Test helps to determine the total loss that takes place, when the transformer is loaded. 40 Unlike the tests described previously, in the present case nominal voltage is applied across the primary and rated current is drown from the secondary. Load test is used mainly 1. To determine the rated load of the machine and the temperature rise 2. To determine the voltage regulation and efficiency of the transformer. Rated load is determined by loading the transformer on a continuous basis and observing the steady state temperature rise. The losses that are generated inside the transformer on load appear as heat. This heats the transformer and the temperature of the transformer increases. The insulation of the transformer is the one to get affected by this rise in the temperature. Both paper and oil which are used for insulation in the transformer start getting degenerated and get decomposed. If the flash point of the oil is reached the transformer goes up in flames. Hence to have a reasonable life expectancy the loading of the transformer must be limited to that value which gives the maximum temperature rise tolerated by the insulation. This aspect of temperature rise cannot be guessed from the electrical equivalent circuit. Further, the losses like dielectric losses and stray load losses are not modeled in the equivalent circuit and the actual loss under load condition will be in error to that extent. Many external means of removal of heat from the transformer in the form of different cooling methods give rise to different values for temperature rise of insulation. Hence these permit different levels of loading for the same transformer. Hence the only sure way of ascertaining the rating is by conducting a load test Circuit Diagram: Open Circuit Test: 41 Short Circuit Test: Apparatus Used: SL. NO. Name of Apparatus Quantity Range 42 Maker’s name Maker’s serial no. Procedure: For open circuit test: 1. H.V.winding of the transformer is made open. 2. Supply is given to the L.V. side. 3. The applied voltage is varied gradually up to rated voltage. 4. The reading of𝑉𝑂 ,𝐼𝑂 ,𝑊𝑂 ,𝑉2 are noted down. For short circuit test: 1. The L.V.winding of the transformer is kept shorted. 2. Supply is given to the H.V. side 3. The applied voltage is varied gradually to get rated current. 4. The reading of𝑉𝑆𝐶 , 𝐼𝑆𝐶 ,𝑊𝑆𝐶 are noted down. For Load Test: 1. Supply is given to the L.V. side and kept as 115V through Variac. 2. HV side is connected with the load box. 3. The reading of load voltage, load current and power consumed are noted down. 43 Observations: For open circuit test SL.NO. VO IO WO V2 For short circuit test SL.NO. Vsc Isc Wsc For load test SL.NO. Vin Vout IL 44 WL Calculation: Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 45 PO9 PO10 PO11 PO12 PSO1 PSO2 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 46 Experiment No: 9 Title: Measurement of power in a three-phase balanced circuit by two wattmeter method. Objective: To measure the power in a balanced 3-ф circuit using two 1-ф wattmeters. Theory: Two Wattmeter Method can be employed to measure the power in a 3 phase, three wire star or delta connected the balanced or unbalanced load. In Two wattmeter method the current coils of the wattmeter are connected with any two lines, say R and Y and the potential coil of each wattmeter is joined on the same line, the third line i.e. B as shown below in figure. The total instantaneous power absorbed by the three loads Z1, Z2 and Z3, are equal to the sum of the powers measured by the two wattmeters, W1 and W2. Considering the above figure (A) in which Two Wattmeter W1 and W2 are connected, the instantaneous current through the current coil of Wattmeter, W1 is given by the equation shown below. Instantaneous potential difference across the potential coil of Wattmeter, W1 is given as Instantaneous power measured by the Wattmeter, W1 is The instantaneous current through the current coil of Wattmeter, W2 is given by the equation Instantaneous potential difference across the potential coil of Wattmeter, W2 is given as Instantaneous power measured by the Wattmeter, W2 is 47 Therefore, the Total Power Measured by the Two Wattmeters W1 and W2 will be obtained by adding the equation (1) and (2). Where P – the total power absorbed in the three loads at any instant. Circuit Diagram: 48 Apparatus used: SL.NO. Name of apparatus Type Range Makers name Procedure: 1. 2. 3. 4. Make the connections as per the circuit diagram. Switch on AC supply. For balanced load conditions, measure the values of wattmeters, ammeters, voltmeters. Switch off all the loads and supply. 49 Phasor Diagram of 3-ф power measurement by two-wattmeter method. 50 Observations: SL. NO. Voltmeter reading (V) Ammeter reading(A) Wattmeter reading(W1) 51 Wattmeter reading(W2) Total power in Watts (W1+ W2) Percent error (%) Calculation: 52 Outcome of the experiment: PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 Questionnaires: Grade awarded Lab record: Lab Performance: Viva: Teacher’s signature with date_______________________ 53 PSO1 PSO2 54 55 56 57 58 59 60