CHRISTU JYOTI INSTITUTE OF TECHNOLOGY & SCIENCE (Affiliated to JNTU Hyderabad), Colombonagar, Janagoan :506167 DEPARTMENT OF ELECTRICAL &ELECTRONICS ENGINEERING Electrical engineering LAB MANUAL Website :http://www.cjits.org/ Ph no : 08716 202101 E mail id :[email protected] Fax No: Name of the Laboratory : ELECTRICAL ENGINEERING Year/Semester : II/II Branch : ECE ELECTRICAL ENGINEERING LAB MANUAL PREFACE The significance of the Electrical Engineering Lab is renowned in the various fields of engineering applications. For an Electronics and Communication Engineer, it is obligatory to have the practical ideas about the Electrical Engineering Lab. By this perspective we have introduced a Laboratory manual cum Observation for Electrical Engineering Lab. The manual uses the plan, cogent and simple language to explain the fundamental aspects of Electrical Engineering Lab in practical. The manual prepared very carefully with our level best. It gives all the steps in executing an experiment. 2 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL INDEX Name of the experiment Page no PART-A 11-13 1 Verification of KVL and KCL. 2 Series and Parallel resonance. 3 Two port network Parameters. 4 Superposition theorem & Reciprocity theorem. 5 Maximum Power Transfer theorem. 6 7 14-18 19-24 25-29 30-32 Thevinin’s and Norton’s theorem. 33-38 Open circuit characteristics of DC Shunt generator. 39-41 PART-B 8 9 10 11 Swinburne’s test on DC shunt machine. 42-47 Brake test on DC Shunt motor and to draw the Performance curves. Open and short circuit tests on a single phase Transformer. 48-53 Load test on single phase Transformer. 59-62 54-58 ADDITIONAL EXPERIMENTS 12 Time response of first order for RC & RL Circuits. 13 Brake test on three phase squirrel cage induction Motor. 65-68 3 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD II Year B.Tech. ECE-II Semester 0 -/3/- 2 L T/P/D C (54606) Electrical Engineering Lab Part – A 1) Verification of KVL and KCL. 2) Series and Parallel Resonance – Timing, Resonant Frequency, Band width and Q-Factor determination for RLC Network. 3) Time Response of aFirst Order RC/RL network for periodic non-sinusoidal inputs – Time constant and steady state error determination. 4) Two Port network parameters – Z, Y parameters, chain matrix and analytical verification. 5) Verification of superposition and reciprocity theorems. 6) Verification of Maximum Power Transfer Theorem. Verification on dc and ac excitation with resistive and reactive loads. 7) Experimental determination of Thevenin’s and Norton’s equivalent circuits and verification by direct test. Part - B 8) Constant - K low pass filter and high pass filter – design and test. 9) Magnetization characteristics of DC shunt generator. Determination of critical field resistance. 10) Swinburne’s test on DC shunt motor (predetermination of Efficiency of a given DC Shunt Machine working as Motor and Generator) 11) Brake test on DC Shunt motor. Determination of performance characteristics. 12) OC and SC tests on single phase transformer (Determination of Efficiency and regulation at given power factor and determination of equivalent circuit. 13) Load Test on single phase transformer. 4 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Note: Any twelve of the above experiments are to be conducted Experiments Conducted by the Department:Part – A 1) Verification of KVL and KCL. 2) Series and Parallel Resonance – Timing, Resonant Frequency, Band width and Q-Factor determination for RLC Network. 3) Two Port network parameters – Z, Y parameters, chain matrix and analytical verification. 4) Verification of superposition and reciprocity theorems. 5) Verification of Maximum Power Transfer Theorem. Verification on dc and ac excitation with resistive and reactive loads. 6) Experimental determination of Thevenin’s and Norton’s equivalent circuits and verification by direct test. Part - B 7) Magnetization characteristics of DC shunt generator. Determination of critical field resistance. 8) Swinburne’s test on DC shunt motor (predetermination of Efficiency of a given DC Shunt Machine working as Motor and Generator) 9) Brake test on DC Shunt motor. Determination of performance characteristics. 10) OC and SC tests on single phase transformer (Determination of Efficiency and regulation at given power factor and determination of equivalent circuit. 11) Load Test on single phase transformer. Additional Experiments conducted by the department 1) Time Response of aFirst Order RC/RL network for periodic non-sinusoidal inputs – Time constant and steady state error determination. 2) Constant - K low pass filter and high pass filter – design and test. 5 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL SAFETY RULES 1.SAFETY is of paramount importance in the Electrical Engineering Laboratories. 2. Electricity NEVER EXECUSES careless persons. So, exercise enough care and attention in handling electricalequipment and followsafety practices in the laboratory. (Electricity is a good servant but a bad master). 3. Avoid direct contact with any voltage source and power line voltages. (Otherwise, any such contact may subject you to electricalshock) 4.Wear rubber-soled shoes. (To insulate you from earth so that even if you accidentally contact a live point, current will not flow through your body to earth and hence you will be protected from electricalshock) 5. Wear laboratory-coat and avoid loose clothing. (Loose clothing may get caught on an equipment/instrument and this may lead to an accident particularly if the equipment happens to be a rotating machine) 6. Girl students should have their hair tucked under their coat or have it in a knot. 7. Do not wear any metallic rings, bangles, bracelets, wristwatches and neck chains. (When you move your hand/body, such conducting items may create a short circuit or may touch a live point and thereby subject you toelectricalshock) 8. Be certain that your hands are dry and that you are not standing on wet floor. (Wet parts of the body reduce the contact resistance thereby increasing the severity of the shock) 9. Ensure that the power is OFF before you start connecting up the circuit.(Otherwise you will be touching the live parts in the circuit) 10. Get your circuit diagram approved by the staff member and connect up the circuit strictly as per the approved circuit diagram. 11. Check power chords for any sign of damage and be certain that the chords use safetyplugs and do not defeat the safety feature of these plugs by using ungrounded plugs. 6 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 12. When using connection leads, check for any insulation damage in the leads and avoid such defective leads. 13. Do not defeat anysafety devices such as fuse or circuit breaker by shorting across it. Safety devices protect YOU and your equipment. 14. Switch on the power to your circuit and equipment only after getting them checked up and approved by the staff member. 15. Take the measurement with one hand in your pocket. (To avoid shock in case you accidentally touch two points at different potentials with your two hands) 16. Do not make any change in the connection without the approval of the staff member. 17. In case you notice any abnormal condition in your circuit ( like insulation heating up, resistor heating up etc ), switch off the power to your circuit immediately and inform the staff member. 18. Keep hot soldering iron in the holder when not in use. 19. After completing the experiment show your readings to the staff member and switch off the power to your circuit after getting approval from the staff member. 20.Some students have been found to damage meters by mishandling in the following ways: i. ii. Keeping unnecessary material like books, lab records, unused meters etc. causing meters to fall down the table. Putting pressure on the meter (specially glass) while making connections or while talking or listening somebody. STUDENTS ARE STRICTLY WARNED THAT FULL COST OF THE METER WILL BE RECOVERED FROM THE INDIVIDUAL WHO HAS DAMAGED IT IN SUCH A MANNER. Copy these rules in your Lab Record. Observe these yourself and help your friends to observe... I have read and understand these rules and procedures. I agree to abide by these rules and procedures at all times while using these facilities. I understand that failure to follow these rules and procedures will result in my immediate dismissal from the laboratory and additional disciplinary action may be taken. 7 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL GUIDELINES FOR LABORATORY NOTEBOOK The laboratory notebook is a record of all work pertaining to the experiment. This record should be sufficiently complete so that you or anyone else of similar technical background can duplicate the experiment and data by simply following your laboratory notebook. Record everything directly into the notebook during the experiment. Do not use scratch paper for recording data. Do not trust your memory to fill in the details at a later time. Organization in your notebook is important. Descriptive headings should be used to separate and identify the various parts of the experiment. Record the data in chronological order. A neat, organized and complete record of an experiment is just as important as the experimental work. 1. Heading: The experiment identification (number) should be at the top of each page. Your name and date should be at the top of the first page of each day's experimental work. 2.Object: A brief but complete statement of what you intend to find out or verify in the experiment should be at the beginning of each experiment 3. Diagram: A circuit diagram should be drawn and labeled so that the actual experiment circuitry could be easily duplicated at any time in the future. Be especially careful to record all circuit changes made during the experiment. 4. Equipment List: List those items of equipment which have a direct effect on the accuracy of the data. It may be necessary later to locate specific items of equipment for rechecks if discrepancies develop in the results. 5. Procedure: In general, lengthy explanations of procedures are unnecessary. Be brief. Short commentaries alongside the corresponding data may be used. Keep in mind the fact that the experiment must be reproducible from the information given in your notebook. 6. Data: 8 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Think carefully about what data is required and prepare suitable data tables.Record instrument readings directly. Do not use calculated results in place of direct data; however, calculated results may be recorded in the same table with the direct data. Data tables should be clearly identified and each data column labeled and headed by the proper units of measure. 7. Calculations: Not always necessary but equations and sample calculations are often given to illustrate the treatment of the experimental data in obtaining the results. 8. Graphs: Graphs are used to present large amounts of data in a concise visual form. Data to be presented in graphical form should be plotted in the laboratory so that any questionable data points can be checked while the experiment is still set up. The grid lines in the notebook can be used for most graphs. If special graph paper is required, affix the graph permanently into the notebook. Give all graphs a short descriptive title. Label and scale the axes. Use units of measure. Label each curve if more than one on a graph. 9. Results: The results should be presented in a form which makes the interpretation easy. Large amounts of numerical results are generally presented in graphical form. Tables are generally used for small amounts of results. Theoretical and experimental results should be on the same graph or arrange in the same table in a way for easy correlation of these results. 10. Conclusion: This is your interpretation of the results of the experiment as an engineer. Be brief and specific. Give reasons for important discrepancies. 1. VERIFICATION OF KVL AND KCL 9 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL CIRCUIT DIAGRAM OF KVL:V1 V22 MC _ + V MC _ + V V3 MC + _ V + + VS VS V _ MC Fig-1 CIRCUIT DIAGRAM OFKCL:- A2-MC R2 ₊ A1-MC _ + A R1 - A _ 1 __ A3-MC 1 ₊ R3 + VS A A 1 Fig-1 1. VERIFICATION OF KVL AND KCL 10 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL AIM:- Verification of KVL and KCLtheoretically and practically. APPARATUS: S.No Name of the equipment 1. Multimeter 2. Ammeter MC 3. Connecting wires Range Type Quantity as per need PROCEDURE: KVL:- (1) Set the rheostats to given resistance values with the multimeter. (2) Make connections as for diagram (3) Verify the connections to the lab instructor. (4) Switch on the DC supply with the help of DPST. (5) Note down all meter readings, the sum of VI, V2 and V3 must be equal to the Vs. KCL:- (1) Set the rheostats to given resistance values with the multimeter. (2) Make connections as for diagram (3) Verify the connections to the lab instructor. (4) Switch on the DC supply with the help of DPST. (5) Note down all meter readings, the sum of A2 and A3 must be equal to the A1. CALCULATIONS:11 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL KCL-Total resistance of the circuit R=R1+R2+R3 -- Ω Total currentof the circuit I= Vs÷R -- Amp The resistance are connected in series so the total current I will flow in every resistance. So, Voltage drop in resistance R1= I × R1-------Volts. Voltage drop in resistance R2 = I × R2-------Volts. Voltage drop in resistance R3 = I × R3-------Volts. Now Supply voltage Vs = (I × R1)+(I × R2)+(I × R3). KVL- R2 and R3resistances are in parallel so effective resistanceRe= R2 ×R3÷ R3 +R2-- Ω. Now R1 and Reare inseries, so total resistance R = R1+Re ---------Ω. Total current of the circuit I = Vs÷R -- Amp. Current through R2 resistanceI1 = Total current (I) ×Opposite resistance (R3) ÷ Total resistance (R2) + (R3) ------ Amps. Current through R3 resistanceI2 = Total current (I)- (I1) ---------- Amps. Now Total current (I) = (I1)+ (I2) ----------------------------------Amps. RESULT:- 2-SERIES AND PARALLEL RESONANCE 12 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL CIRCUIT DIAGRAM OF SERIES RESONANCE: Is Function generato r A Fig-1 CIRCUIT DIAGRAM OF PARALLEL RESONANCE: Ip A Function generato r Fig-2 13 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 2-SERIES AND PARALLEL RESONANCE AIM: To verify resonant frequency, bandwidth & quality factor of RLC series and parallel Resonant circuits. APPARATUS: S.No Name of the equipment 1. Multimeter 2. Series and parallel resonance kit 3. Connecting wires Range Type Quantity as per need THEORY: In a series RLC circuit. The current lags behind or leads the applied voltage depending upon the values of XL and Xc. XL causes the total current to lag behind the applied voltage while Xc causes the total current to lead the applied voltage.When XL >Xc the circuit is predominantly inductive, and when XL <Xc the circuit is predominantly capacitive. In the series RLC circuit resonance may be produced by varying the frequency keeping L and C constant. Otherwise resonance may be produced by varying either L or C for fixed frequency .Parallel resonance occurs when XL = Xc. when XL = Xc the two branch currents are equal in magnitude and 180 deg out of phase with each other .Hence two currents cancel each other and net current is zero. THEORETICAL CALCULATIONS: 14 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL PROCEDURE: SERIES RESONANCE: 1. Connect the circuit as shown in the fig (1) 2. Apply a fixed voltage through function generator to the circuit. 3. The frequency of the signal is varied in steps and note down corresponding ammeter reading as Is. observe that current is maximum at resonant frequency. 4. Draw a graph between frequency f and current Is .Mark Resonant frequency and Current at half power frequencies. Q 5. Find Bandwidth = (f2-f1.) & Quality factor from f0 f 2 f1 graph. 6. Compare practical values of resonant frequency, Q-factor and Bandwidth with theoretical values. PARALLEL RESONANCE: 1. Connect the circuit as shown in the fig (2) 2. Apply a fixed voltage through function generator to the circuit. 3. The frequency of the signal is varied in steps and note down corresponding ammeter reading as Is. Observe that current is minimum at resonant frequency. 4. Draw a graph between frequency f and current Is .Mark resonant frequency and current at half power frequencies. Q 5. Find Bandwidth = (f2-f1.) & Quality factor from f0 f 2 f1 graph. 6. Compare practical values of resonant frequency, Q-factor and Bandwidth with theoretical values. Parallel resonance S.No. Frequency (f) Current(Is) 15 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL OBSERVATION S: Series S.No. resonance Frequency (f) Current(Is) MODEL GRAPH: IS I m ax I m ax 2 f1 MODEL GRAPH: fo f2 f IP 2I m in I m in f1 fo f2 f 16 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL RESULT TABLE: Series Resonance Parallel Resonance Theoretical Theoretical Practical Practical Resonant frequency Bandwidth Q-factor PRECAUTIONS: 1. Avoid making loose connections. 2. Readings should be taken carefully without parallax error. 3. Avoid series connection of voltmeters and parallel connection ammeters. RESULT: 17 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 3. TWO PORT NETWORK THEOREM (Z,Y,ABCD AND HYBRID PARAMETERS) CIRCUIT DIAGRAM:_ R2 ₊ ₊ ₊ ₋₊ ₋ R2 ₊ ₊ VV ₊ ₊₋ + + Vs1 _ Vs2 + Fig-1 CALCULATION OF Z11AND Z21 :- A I1 + + Vs1 _ V2 ₋ + Fig-2 18 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL CALCULATION OF Z22AND Z12 :- + + V1 + + _ _ _ V R2 _ + A I2 ₊ ₊ + ₊ V2 ₊ ₋ ₋ + Fig-3 CALCULATION OF Y11AND Y21:- A I1 + + Vs1 R2 _ ₊ ₊ AV ₊ ₊₋ I2 ₋ + Fig-4 19 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL CALCULATION OF Y22ANDY12 :- + + I1 + + _ _ _ A R2 _ + A I2 ₊ ₊ + ₊ V2 ₊ ₋ ₋ + Fig-5 20 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 3. TWO PORT NETWORK THEOREM(Z,Y,ABCD AND HYBRID PARAMETERS) AIM: To obtain experimentally Z,Y parameters, ABCD and Hybrid parameters of a given two port network. APPARATUS: S.No. Name of the equipment 1 Volt meter 2 Ammeter 3 Rheostat 4 Digital Multimeter Range Type Quantity PROCEDURE: 1. Open Circuiting Output Terminals (I2 = 0): Connections are made as per the circuit diagram shown in fig (1). Output terminals are kept Open via a voltmeter. Supply is given to input port. Note the readings of ammeter as I1and Voltmeter as V2. 2. Short circuiting output terminals (V2 = 0): Connections are made as per the circuit diagram shown in fig (2). Output terminals are short circuited via an ammeter. Supply is given to input port. Note the readings of ammeters as I1 andI2. 3. Open circuiting input terminals (I1= 0): Connections are made as per the circuit diagram shown in fig (3). Input terminals are kept open via a voltmeter. Supply is given to output terminals. Note the readings of ammeter as I2 and voltmeter as V1. 4. Short circuiting input terminals (V1=0): Connections are made as per the circuit diagram shown in fig (4). Input terminals are short circuited via an ammeter. Supply is given to output port. Note the readings of ammeters as I1and I2. 21 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 5. Calculate Z, Y, ABCD, Hybrid parameters using formulae and verify them with theoretical values. OBSERVATIONS: When I1=0 When I2=0 V1 I2 V2 V1 I1 V2 V1 I1 I2 S.No. S.No. When V1=0 When V2=0 I2 I1 V2 S.No. S.No. RESULT TABLE: Z Parameters Z11 Z12 Y Parameters Z21 Z22 Y11 Y12 Y21 Y22 Theoretical Practical 22 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL ABCD Parameters A B C Hybrid Parameters D h11 h12 h21 h22 Theoretical Practical PRECAUTIONS: 1. Avoid making loose connections. 2. Readings should be taken carefully without parallax error. 3. Avoid series connection of voltmeters and parallel connection ammeters. RESULT:- 23 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 4. SUPERPOSITION THEOREM AND RECIPROCITY THEOREM CIRCUIT DIAGRAMS OF SUPERPOSITION THEOREM: 24 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL CIRCUIT DIAGRAMS OF RECIPROCITY THEOREM: a) Before inter changing. b) After inter changing. 25 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 4. SUPERPOSITION THEOREM AND RECIPROCITY THEOREM AIM: Verification of Superposition theorem and reciprocity theorem theoretically and practically. APPARATUS: S.No Name of the equipment 1. Ammeter 2. Rheostats 3. DC Power Supply 4. Multimeter 5. Connecting wires Range Type Quantity THEORY: SUPERPOSITION THEOREM STATEMENT In any linear bilateral network containing two or more energy sources the response at any element is equivalent to the algebraic sum of the responses caused by the individual sources. i.e. While considering the effect of individual sources, the other ideal voltage sources and ideal current sources in the network are replaced by short circuit and open circuit across the terminals. This theorem is valid only for linear systems. RECIPROCITY THEOREM STATEMENT In any linear bilateral network containing the response at any branch (or) transformation ratio is same even after interchanging the sources is V/ I1 = V/ I2 THEORETICAL CALCULATIONS: 26 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL PROCEDURE: SUPERPOSITION THEOREM: 1. Connect the circuit as shown in fig (1) 2. Current through load resistor is noted as IX by applying both the voltages V1 and V2 through RPS. 3. Make the supply voltage V2 short circuited and apply V1 as shown in fig (2) and note down the current through load resistor as IY. 4. Make the supply voltageV1 short circuited and apply V2 as shown in fig (3) and note down the current through load resistor as IZ. 5. Now verify that IX = IY + IZtheoretically and practically which proves Superposition theorem RECIPROCITY THEOREM: 1. Connect the circuit as shown in fig (1) 2. From fig (2) of Superposition theorem note down I2=IY. 3. Now interchange the source and ammeter as in fig (4). 4. Note down the ammeter reading as I1. 5. Now verify thatVs/ I1 = Vs/ I2theoretically and practically which proves reciprocity theorem. Observations: When both the sources are acting: V1 V2 When V1 source alone is acting: Theoretical Practical IX IX V1 V2 Theoretical Practical IZ IZ When V2 source alone is acting: V1 V2 Theoretically Practical I 27 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL TABULAR COLUMN OF RECIPROCITY THEOREM: Before interchanging the sources: Theoretical values Vs I2 Practical values Vs/ I2 I2 Vs/ I2 After interchanging the sources: Theoretical values Vs I1 Practical values Vs/ I1 I1 Vs/ I1 PRECAUTIONS: 1. Avoid making loose connections. 2. Readings should be taken carefully without parallax error. 3. Avoid series connection of voltmeters and parallel connection ammeters. RESULT: 28 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 5. MAXIMUM POWER TRANSFER THEOREM CIRCUIT DIAGRAMS: 29 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 5. MAXIMUM POWER TRANSFER THEOREM. AIM: To verify maximum power transfer theorem theoretically and practically. APPARATUS : S.No Name of the equipment 1. Ammeter 2. Voltmeter 3 Rheostats 4. DC Power Supply 5. Multimeter 6. Double Pole Double Throw Switch 6. Connecting wires Range Type Quantity THEORY: THEOREM STATEMENT It states that the maximum power is transferred from the source to the load, when the load resistance is equal to the source resistance. THEORETICAL CALCULATIONS: PROCEDURE: Make the connections as shown in fig (1). By varying RL in steps, note down the reading of ammeter IL in each step. Connect the circuit as shown in fig (2), measure the effective resistance Rth.with the help of digital multimeter. Calculate power delivered to load PL in each step. Draw a graph PLVsRL and find the RL corresponding to maximum power from it.Verify that RLcorresponding to maximum power from the graph is equal to the Rth( which is nothing but source resistance RS). MODEL GRAPH 30 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL PL Pm RL corresponding to Pm o RL OBSERVATIONS: Tabular column: Theoretical values S.No Practical values RL IL PL= IL2RL IL PL= IL2RL MODEL CALCULATIONS: PRECAUTIONS: 1. Avoid making loose connections. 2. Readings should be taken carefully without parallax error. 3. Avoid series connection of voltmeters and parallel connection of ammeters. RESULT:- 31 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 6. THEVENIN’S AND NORTON’S THEOREMS. CIRCUIT DIAGRAMS:R1 R3 + A + + _ R2 Vs RL + Fig-1(Original circuit) R3 R1 _ + R2 DM M RL + R1 Fig-2 (Finding Rth) R3 ₊ ₊_ V ₊ ₋₊ ₋ + + R2 Vs _ Vth + Fig-3 (Finding Vth) R1 R3 32 Department of EEE R1 CJITS ELECTRICAL ENGINEERING LAB MANUAL ₊ ₊ A ₊ ₊₋ + + R2 Vs _ RL + Fig-3 (FindingIL) R1 R3 ₊ ₊_ A ₊ ₋₊ ₋ + + R2 Vs _ Isc + Fig-4 (Finding Isc) Rth RL 33 Department of EEE ₊ ₊ ₊ ₊ A ₋ ₋ CJITS ELECTRICAL ENGINEERING LAB MANUAL S + + + Vth V _ + Fig-5 Circuit diagram for Thevenin’s equivalent circuit. + + IN Rth A - RL A - Fig-5 Circuit diagram for Norton’sequalent circuit. 6. THEVENIN’S AND NORTON’S THEOREMS 34 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL AIM: Experimental determination of Thevenin’s and Norton’s equivalent circuits and verifying theoretically and practically. APPARATUS: S.No Name of the equipment 1. Ammeter 2. Voltmeter 3. Rheostats 4. DC Power Supply 5. Digital Multimeter 6. Connecting wires Range Type Quantity THEORY: STATEMENT OF THEVENIN’S THEOREM: Any two terminal linear bilateral network containing of energy sources and impedances can be replaced with an equivalent circuit consisting of voltage source Vthin series with an impedance, Zth., where Vthis the open circuit voltage between the load terminals and Zthis the impedance measured between the terminals with all the energy sources replaced by their internal impedances. STATEMENT OF NORTON’S THEOREM: Any two terminal linear bilateral network containing of energy sources and impedances can be replaced with an equivalent circuit consisting of current source IN in parallel with an admittance, YN., where IN is the short circuit current through the load terminals and YNis the admittance measured between the terminals with all the energy sources replaced by their internal admittance. CALCULATIONS:(i) For Rth-As for the circuit diagram, fig-2, Resisters R1 and R2are in parallel so effective Resistance Rp = R1 × R2 ÷ R1 + R2 Ω. Then Rp is in series with R3, so Rth= Rp× R3 Ω. 35 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL (ii) For Vth - As for the circuit diagram, fig-3, Resisters R1 and R2 are in series so total Resistance R = R1 + R2 Ω.(R3 Will not play any roll because of open circuit.) Total current of the circuit I = Vs÷ R Amp. The current I will flow through R1 and R2 because of series connection. Then open circuit voltage Vth = I× R2 Volts. (iii) For IL- As for the circuit diagram, fig-1, Resisters R3 and RLare in series so effective Resistance Rse = R3 +RL Ω. Then Rseisin parallel with R2 so effective Resistance Rp = Rse × R2 ÷ Rse + R2 Ω. Then Rp is in series to R1 resistance so total Resistance R = Rp+ R1 Ω. Total current of the circuit I = Vs÷ R Amp . Total current of the circuit Iis divided in to two paths after R1 resistance So the current throughRL resistance branch IL =( Total current) I × opposite resistance ÷ total Resistance --Amp (iv) For Isc or IN - As for the circuit diagram, fig-4, Resisters R2 and R3are in parallel so effective Resistance Rp = R2× R3 ÷ R2 + R3 Ω. Then Rp is in series to R1 resistance so total Resistance R = Rp+ R1 Ω. Total current of the circuit I =Vs÷ R Amp. Total current of the circuit Iis divided in to two paths after R1 resistance So the current throughR3resistance branch Isc= (Total current) I× oppositeresistance ÷ total Resistance –Amp. Tabulation- 36 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Rth Vth Theoretical Practical Theoretical Practical IL Theoretical Practical Thevenin’s equivalent circuit. Theoretical Practical Norton’s equivalent circuit. IL’’ IL’ Theoretical Isc or IN Theoretical Practical Practical PRECAUTIONS: 1. Avoid making loose connections. 2. Readings should be taken carefully with out parallax error. 3. Avoid series connection of voltmeters and parallel connection ammeters. RESULT: 7.Magnetization Characteristics of DC Shunt Generator 37 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Circuit diagram: + 3 point starter A F L DPST Switch DPST Switch + + 400Ω/ 1.7A 230 V DC Supply F (0-300)V MC A M AA + V − A A A − (0-2)A MC DC Exciter F G M AA FF FF − − Fuse Fuse Aim: To conduct an experiment on a D.C shunt generator and draw the magnetization characteristics (OCC) and to determine the critical field resistance and critical speed. 38 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Apparatus: S. No Apparatus 1 Voltmeter 2 Ammeter 3 Rheostats 4 Tachometer Type Range Qty Name plate details: Theory: Open circuit characteristics or magnetization curve is the graph between the generated emf and field current of a dc shunt generator. For field current is equal to zero there will be residual voltage of 10 to 12V because of the residual magnetism present in the machine .If this is absent there the machine can not build up voltage to obtain residual magnetism the machine is separately excited by a dc source from OCC we can get critical field resistance and critical speed. Critical field resistance: It is the resistance above which the machine cannot build up emf. Critical speed: It is the speed below which the machine cannot build up emf. Procedure: Connections are made as per the circuit diagram. 39 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Start the motor and bring it to rated speed. The switch SPST is opened and If=0 For the different values of excitations (If) the generated voltage (Eg)from the voltmeter is taken at rated speed, with increasing and decreasing orders. Calculate average Eg from increasing and decreasing orders. A graph is drawn between AvgEg& If. From the graph (OCC) Critical field resistance and critical speed are calculated. Tabular column: Generated Voltage (Eg) Field current S.NO Average Eg If Increasing Decreasing 1 Graph: 40 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Eg (V) R Rf A Q O C P If (A) Critical field resistance (Rc) = OB/OC Field resistance (Rf) = OR The maximum voltage the Generator can induce With this field resistance. = OM Result: 8. SWINBURNE’ S TEST ON DC SHUNT MACHINE CIRCUIT DIAGRAM:41 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL + (0-5)A MC DPST Switch 3 point starter A L F A 400Ω/ 1.7A + 230 V DC Supply V − (0-250)V MC + (0-2)A A MC − A F M AA FF − Fuse CICUIT DIAGRAM FOR Ra:- + DPST Switch 100Ω/5A + A − 230 V DC Supply (0-5)A MC A + M AA − Fuse V A− (0-30)V MC 8.SWINBURNE’ S TEST ON DC SHUNT MACHINE 42 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL PREDETERMINATION OF EFFICIENCIES Aim: To perform no load test on dc motor and to predetermine the efficiencies of the machine acting as a motor and generator. Equipment: S.No Apparatus 1 Voltmeter 2 Voltmeter 3 Ammeter 4 Ammeter 5 Rheostats Type Range Qty Name plate details: Theory: It is simple indirect method in which losses are measured separately and the efficiency at any desired load can be predetermined. This test applicable to those machines in which flux is practically constant i.e. shunt and compound wound machines. The no load power input to armature consist iron losses in core, friction loss, windage loss and armature copper loss. It is convenient and economical because power required to test a large machine is small i.e. only no load power. But no account is taken the change in iron losses from no load to full load due to armature reaction flux is distorted which increases the iron losses in some cases by as 50% Procedure: 43 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 1.Make connections as per the circuit diagram. 2.Show the connections to the lab instructor. 3.Keeping both rheostats at minimum, Start the motor with the help of starter,and rheostat bring the motor to rated speed. by adjusting field 4. Note down all the meter readings at no load. 5.Do necessary calculations and find out the efficiency of the Machine as a motor and as a generator. 6.Draw the graphs between output Vs efficiency of the Machine as a generator and as a motor. Observations: IL IF IA V N For Ra S.NO V I Ra=V/I Model Graph:- η (%) Generator Motor O Output Efficiency Vs Output Tabular Column to find out efficiency: 44 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL GENERATOR: Voltage= Load Armature Current= Current Ia V IL = Armature Cu loss= Ia XIaXRa (IL+If) S.No Total losses Input- OutputVxIL Wt=Wc+ Input-total losses= = Output Input. IaXIaXRa VxIL-Wt Motor: S.No Voltage= Load Armature Armature Current= CurrentIa Cu loss= V IL = Ia XIaXRa (IL-If) Total losses Output= Input=output = Wt=Wc+ +total losses= IaXIaXRa VxIL+Wt VxIL Output Input. Model calculations: No load input=VIL No load armature copper losses =Ia2 Ra =(Il –If)2 Ra Constant losses Wc=V l–(Il-If )2 Ra Efficiency as a motor: I= Assumed load current 45 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Motor i/p=VI Ia=IL-If Motor armature losses=I2a .Ra Total losses=I2a Ra+ Wc Efficiency of motor= VI- I2a Ra+ Wc / VI x 100 Efficiency as generator: I=assumed load current Generator O/P =VI Generatorarmaturecu. Losses= I2a .Ra Total losses= I2a Ra+ Wc Efficiency of generator=VI / VI+ I2a Ra+ Wc Results: 46 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 9. BRAKE TEST ON DC SHUNT MOTOR. DETERMINATION OF ITS PERFORMANCE CURVES Circuit diagram: + (0-20)A MC DPST Switch 3 point starter A L F A 400Ω/ 1.7A + 230 V DC Supply V − A (0-250)V MC A − A S1 + S2 (0-2)A MC F M AA FF − Fuse 47 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 9. BRAKE TEST ON DC SHUNT MOTOR. DETERMINATION OF ITS PERFORMANCE CURVES Aim: To conduct brake test on DC Shunt motor. And to determine its performance curves. Apparatus: S. No Equipment 1. Voltmeter 2. Ammeter 3 Ammeter 4 Rheostat 5. Tachometer 6. Connecting wires Range Type Qty Name plate details: Theory: When if is required to determine directly efficiency if comparatively small motors, the motor is loaded directly by means of Mechanical Break. Hence in the case of shunt motor there is no drastic change in speed. The Torque T = (S1 ~S2) g. r – Nm. where S1S2 is the spring balance reading, r = Break drum Radius and g=9.81. P = Power developed. Hence directly the efficiency = Po/ Pi x 100 48 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Procedure:Make Connections as per the circuit diagram. Start the motor with the help of the starter. Then bring the motor to rated speed by adjusting field rheostat. Put the mechanical load on the motor in steps and note down corresponding readings of all meters. Do calculations accordingly. Tabular columns: S.No Voltage Current Speed Spring Torque= Pout = Pin = (V) (I) (N) Balance 9.8 1(S1 ~ S2) .r -Nm 2nT/60 Vi Watts Readings S1 -Watts Eff = op/ip x100. S2 49 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL EXPECTED GRAPHS:- Ta vs Ia. 50 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL N vs Ia. N vs T 51 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Vs O/P Result: 52 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 10.OC & SC TESTS ON 1- TRANSFORMER CIRCUITDIAGRAM FOR OPEN CIRCUIT TEST:- Ph DPST (0-2)A MI A 115V V 2A, 150V, 60W, LPF M L 230V V V C 1- Φ 230V 50 Hz AC Supply V N (0-150)V MI Open Circuit Variac 3KVA, 230V/ (0-270)V 1 Φ -Transformer 3KVA, 230V/ 115V Fig -1 CIRCUITDIAGRAM FOR SHORT CIRCUITTEST:- Ph DPST (0-15)A MI A 15A, 50V, 600W, UPF 230V V M L 115V V V C 1- Φ 230V 50 Hz AC Supply V (0-50)V MI Short Circuit 53 N Department of EEE Variac 3KVA, 230V/ (0-270)V Fig -2 1 Φ -Transformer 3KVA, 230V/ 115V CJITS ELECTRICAL ENGINEERING LAB MANUAL 10.OC & SC TESTS ON 1- TRANSFORMER Aim: To conduct OC & SC tests on the given 1-Φ Transformer and to calculate its equivalent circuit parameters, efficiency & regulation. Name plate details: 1- TRANSFORMER Capacity I/P voltage I/P current O/P voltage O/P current Frequency Apparatus required: S.No DESCRIPTION OC TEST 1 Voltmeter 2 Ammeter 3 Wattmeter 4 Auto T/F RANGE TYPE qTY SC TEST 1 Voltmeter 2 Ammeter 3 Wattmeter 4 Auto T/F 5 Fuses Theory: Transformer is a static device which transfers electrical powerfrom one circuit to another circuit either by step up or step down the voltage with corresponding decrease increase in the current, with out changing the frequency. 54 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL OC Test The main aim of this test is to determine the Iron losses & No- load current of the T/F which are helpful in finding Ro & Xo.In this test generally supply will be given to primary and secondary kept open. Since secondary is opened a small current (magnetizing current will flow and it will be 5 to 10% of full load current. The wattmeter connected in primary will give directly the Iron losses (core losses). SC Test The main aim of this test is to determine the full load copper losses which are helpful in finding the R01, X01, Z01, efficiency and regulation of the T/F. Generally low voltage side will be short circuited and supply will be given to high voltage side & it will be of 5-10% of the rated voltage. The wattmeter connected in primary will give directly the full load copper losses of the T/F. 55 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Procedure: OC Test: 1) Give connections as per the circuit diagram. 2) Switch-ON the supply and apply rated voltage to the primary of the winding by using the auto transformer. 3) Note the readings of Ammeter, Voltmeter & Wattmeter SC Test: 1) Give connections as per the circuit diagram. 2) Switch-ON the supply and vary the Dimmerstat till rated full load current flows through transformer. 3) Note the readings of Ammeter, Voltmeter & Wattmeter Graph: Y-axis. A graph is drawn between P.F and % regulation by taking P.F on X- axis and % regulation on Observations: O.C Test: S.C Test: V0 I0 W0 VSC ISC WSC volt ampere Watt volt ampere Watt O/P power %η Calculations: Load Cu losses Total losses I/P power Full ¾ ½ ¼ 56 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL % Regulation P.F Lag PRECAUTIONS: Lead 1) The Dimmer stat should be kept at minimum O/P’ position initially. 2) In OC test, rated voltage should be applied to the Primary of the Transformer. 3) In SC test, the Dimmer stat should be varied up to the rated load current only. 4) The Dimmer stat should be varied slowly & uniformly. Result: 57 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 11. LOAD TEST ON SINGLE PHASE TRANSFORMER CIRCUIT DIAGRAM:- Ph 115V V DPST 20A, 300V, 6000W, UPF (0-15)A MI 230V V M A C 1- Φ 230V 50 Hz AC Supply (0V 300)VMI V Resistive load load load N Variac 3KVA, 230V/ (0-270)V 1 Φ -Transformer 3KVA, 230V/ 115V Fig -1 58 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 11.LOAD TEST ON SINGLE PHASE TRANSFORMER AIM:-To conduct Load test on single phase Transformer and find out the efficiency. Name plate details: 1- TRANSFORMER Capacity I/P voltage I/P current O/P voltage O/P current Frequency APPARATUS:- S.NO NOMENCLATURE 1 Ammeter 2 Volt meter 3 Watt meter 4 Auto transformer 5 Patch cards TYPE RANGE QTY 59 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL THEORY:- PROCEDURE:(i) Make Connections as per the circuit diagram. (ii) Verify the Connections to the Instructor. (iii) Keeping the Autotransformer at zero position switch on the DPST, Then adjust the Autotransformer to rated value of secondary winding by seeing the volt meter (iv) Note down the no load readings of the all the meters ,Then switch on the load step By step and note down the readings of the all the meters up to full load. RESULT:- 60 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 12. Time response of RL & RC Circuits. O/P CRO For R-L R=10Ω (0-1)mHZ O/P CRO For R-C R=10Ω L=10MH (0-1)mHZ 61 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL Model graph:IN PUT RL & RC CKTS 0 T T/2 OUTPUT T 3T/2 4T RL CKT 4T 0 T T/2 OUT PUT 3T/2 RC CKT T/2 T 62 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 12. Time response of RL & RC Circuits. AIM:- To draw the time response of first order R-L & R-C Networks for periodic non sinusoidal functions and determination of time constant. APPARATUS:PROCEDURE:1. Make connections as per the circuit diagram. 2. Give 2V Peak to peak square wave supply through function generator with suitable frequency. 3. Take out put across inductor in RL Circuit, across capacitor in RC Circuits. 4. Calculate the time constant from CRO. 5. For deferent values of T and V Calculate corresponding (L/R) Values. 6. Compare the time constant theoretically and practically. OBSERVATIONS:- Type of circuit Voltage Time period Time constant Time constant Practical theoretical RESULT:- 63 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 13 - BRAKE TEST ON 3-SQUIRREL CAGE INDUCTION MOTOR CIRCUIT DIAGRAM:- R 3- Φ 415V 50 Hz AC Supply (015)A MI A 10A, 600V, 3KW, UPF L M L1 B C V V (0600)V MI Y/∆1 Start er L2 Y 3- Φ 415V 50 Hz AC Supply B A 1 A A 2 C 1 S1 B S2 1 A 2 B C C 1 2 2 1 C V C L 2 L3 B M 2 10A, 600V, 3KW, UPF 64 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 13 - BRAKE TEST ON 3-SQUIRREL CAGE INDUCTION MOTOR Aim: To conduct a brake test on the given 3-Squirrel Cage Induction motor and to draw its performance Characteristics. Nameplate details: 3-INDUCTION MOTOR CAPACITY VOLTAGE CURRENT SPEED FREAQUENCY ROTOR VOLTAGE ROTOR CURRENT Apparatus required: S.NO NOMENCLATURE 1 Volt meter 2 Ammeter 3 Watt meter 4 Tachometer 5 Patch cards TYPE RANGE QTY Theory: As a general rule, conversion of electrical energy to mechanical energy takes place in to the rotating part on electrical motor. In DC motors, electrical power is conduct directly to the armature, i.e, rotating part through brushes and commutator. Hence, in this sense, a DC motor can be called as 65 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL 'conduction motor'. However, in AC motors, rotor does not receive power by conduction but by induction in exactly the same way as secondary of a two winding T/F receives its power from the primary. So, these motors are known as Induction motors. In fact an induction motor can be taken as rotating T/F, i.e, one in which primary winding is stationary and but the secondary is free. The starting torque of the Induction motor can be increase by improving its p.f by adding external resistance in the rotor circuit from the stator connected rheostat, the rheostat resistance being progressively cut out as the motor gathers speed. Addition of external resistance increases the rotor impedance and so reduces the rotor current. At first, the effect of improved p.f predominates the current- decreasing effect of impedance. So, starting torque is increased. At time of starting, external resistance is kept at maximum resistance position and after a certain time, the effect of increased impedance predominates the effect of improved p.f and so the torque starts decreasing. By this during running period the rotor resistance being progressively cut-out as the motor attains its speed. In this way, it is possible to get good starting torque as well as good running torque. Procedure: 1) Give all the connections as per the circuit diagram. 2) Switch –ON the 3 supply and press the ON button of the Star /Delta starter. 4) When the Star /Delta starter converts to Delta position Note the no-load readings of ammeter, voltmeter, wattmeter, speed & loads. 5) Gradually increase the load on the motor by tightening the hand-swivels and note the corresponding meter’s readings. 6) Remove the load completely & Switch-Off the power. Graph: A graph is drawn b/w O/P power in watts (on X-axis) verses speed, torque, current, slip, efficiency &p.f (on Y-axis). Precautions: 1) There should not be any load on the motor initially. 2) The brake drum should be filled with water to cool it. 3) If the wattmeter shows negative deflection, reverse either pressure coil or current coil and take that reading as 66 Department of EEE CJITS ELECTRICAL ENGINEERING LAB MANUAL negative. Observations: Voltmeter Ammeter Net Wattmeter Reading V I/P Force reading A Torque % % Slip N 2NT/6 0 O/p/i /p NsNa/ Ns rpm watt - - Speed O/P Force W1 W2 W F1 F2 F1~F2 9.81xFe.R e Volt ampere wat t Wat t wat t K g k g Kg FxRe 0 Circumference of the drum, 2R = Radius, R = C/2 = Result: 67 Department of EEE CJITS p.f -
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