Manuals Basic Electrical Engineering BE-104
S.NO. EXPERIMENT NAME DATE 1 Measurement of power & power factor in a single phase AC circuit using three Ammeter Method 2 Measurement of active & reactive power in single phase AC circuit SIGNATURE & REMARKS 3 Measurement of impedance of R-L, R-C,R-L-C & study of resonance phenomena 4 Study of constructional feature s of a D.C. M/C. 5 Perform load test on a single phase transformer 6 Study of transformer name plate Rating & Determination of ratio 7 Open circuit & Short circuit test on 1- Transformer 8 Measurement of power in 3 phase A.C. circuit by two wattmeter method. 9 Study of three Point & Four point starter
Measurement Of Power & Power factor in a Single Phase AC Circuit using Three Ammeter Method
OBJECT:- To measure power factor in a single phase A.C. circuit using Three Ammeters. Voltmeter 0-300V, MI; ammeters 10A, 5A, 5A, MI; single phase inductive variable load, rheostat 100,5A; variac 230V, 10A. APPARATUS REQUIRED:- THEORY:- The circuit to be used for measurement of power in an A.C. circuit using three ammeter is shown in fig 1. We know in a D.C. circuit the power is given by the product of voltage and current, whereas,in A.C. circuit it is given by the product of voltage, current and power factor. For this reason, it is not possible to find power in an A.C. circuit simply from the readings of a voltmeter and ammeter. In A.C. circuits power is normally measured by wattmeter. However, this method demonstrates that the power in a single phase A.C. circuits can be measured by using three ammeters. From the circuits shown in fig 1.we can write. Power consumed by load =P =VI 3 cos (1.1) Where I 3 is current through load and V is the voltage across load. The phasor diagram of this circuit can be drawn by taking the supply voltage V as the reference phasor diagram is shown in fig.2
I 2 v I 3 I 1 From the phasor diagram we can write I 1 2 =I 2 2 +I 3 2 +2I 2 I 3 Cos.. (1.2) Power factor, Cos = I 1 2 -I 2 2 -I 3 2 /2I 2 I 3.. (1.3) I 2 = V/R [R is a known resistance] (1.4) Now from eq. 1.1 I 3 Cos = P/V Put this value in eq. 1.2 I 1 2 = I 2 2 +I 3 2 +2I 2 I 3 Cos I 1 2 = I 2 2 +I 3 2 +2I 2 P/V 2I 2 P/V= I 1 2 -I 2 2 -I 3 2 or P= (I 1 2 -I 2 2 -I 3 2 )V/2I 2 From eq. (1.4) we put the value of I 2 So P = (I12-I22-I32) (V.R)/(2V) P = (I12-I22-I32) (R/2). Eqs.1.3 and 1.5 show that we can find the power and power factor in an a.c. circuits by using 3- single phase ammeters, instead of a wattmeter.
Record your observation as shown in table Table observation and calculations for 3-Ammeters method. S.No. 1. 2. 3. 4. Observations Calculation V Volts I 1 Amp I 2 Amp I 3 Amp P Cos PROCEDURE:- The stepwise procedure for conducting this experiment is given below: 1. Make the connections as per the fig. 2. Keep the rheostat at its maximum value. 3. keep the variac at its mini9mum position 4. Switch on the supply. 5. Increase the voltage applied using variac slowly, so that the reading of voltmeter and ammeter, A1 are appreciable. 6. Decrease the resistance R (rheostat) so that ammeter A2 gives suitable reading. 7. Take down the readings of voltmeter and three ammeters. 8. Change the position of rheostat and repeat step 7 a number of times. OBSERVATION:- CALCULATION:- For each set of observation calculate the power consumed (Eq 1.5) and the power factor (Eq 1.3). Next take the average of all the set of calculation for cos i.e., power factor; and P i.e., power consumed in the load.
The power factor of the circuit and the power consumed in circuit should be recorded here. RESULT:- PRECAUTIONS:- Following precautions should be taken care of while performing this experiment. 1. All connections should be tight. 2. The zero setting of all the meters should be checked before connecting them in the circuit. 3. The current through ammeter should never be allowed to exceed the current rating of rheostat and load used.
Measurement Of Active & Reactive power in Single Phase AC circuit
Object:- Measurement of active and reactive power in single phase A.C. Circuit. S.No. Name of Quantity Specification Type equipments range 1. Wattmeter 01 2.5A,125V Dynamo 2. Ammeter 01 0-0.5 Amp. A.C. 3. Voltmeter 01 0-300V A.C. 4. Rheostat 01 500 ohms - 5. Inductance(choke) 01 - - 6. Auto-transformer 01 0-270V A.C. 7. Connecting wires 10-12 - - Apparatus Required:- Theory:- Wattmeter has two coils, one is called current coil and other is pressure coil. The current coil carries the load current and pressure coil carries a current proportional to and in phase with supply voltage. The deflection of wattmeter depends upon the currents in the two coil and upon the P.F. of the circuit. In the wattmeter the current coil are arranged for different ratings i.e. 2.5,5 Amp.etc. and similarly voltage coils are rated for 125 V, 250V, 500Vetc. While doing the experiment the proper range should be selected according to the load voltage and current.
Factor. The reading should be multiplied by a factor called the Multiplying Multiplying factor of wattmeter = Current range * Voltage range Full scale reading of wattmeter Active power:- It is the power, which is actually dissipated in the circuit Resistance. P = I 2 R = VI COS watts Reactive Power:- It is the power developed in the inductive reactance of the circuit. Q = I 2 X L Circuit Diagram:-
From diagram:- It is clear Sin = X L /Z Or, ZSin =X L Q = I 2 X L = I*I*X L Q = I*I*ZSin Q = V*I*Sin Q= V*I*Sin Volt Ampere Reactive (VAR) Power Triangle:- VI COS VI SIN VI Impedance Triangle:- R X L Z Z = (R 2 ) + (X L 2 )
Procedure:- (1) Connect the circuit according to the circuit diagram. (2) For different value of supply voltage takes the various observations. (3) Take atleast 3 sets or reading. Observation Table:- Multiplying factor of wattmeter =... S. NO. 1. 2. 3. 4 5. V I Wattmeter reading Actual power Wattmeter Reading*M.F. P.F.=Power/(V*I) Active Power P= V*I*Cos Reactive Power(Q)= V*I*Sin Calculation: - Report: - Precautions: - Following precautions should be taken care of while performing this experiment. 1. All connections should be tight. 2. The zero setting of all the meters should be checked before connecting them in the circuit. 3. The current through ammeter should never be allowed to exceed the current rating of rheostat and load used. 4. Do not increase the current beyond the rated value of wattmeter. 5. The wattmeter should be connected properly in the circuit.
Measurement Of Impedance of R-L, R-C,R-L-C & study of resonance phenomena
Object :- Measurement of impedance of R-L, R-C & R-L-C series circuit. Study of Resonance phenomenon. Apparatus Required :- S.no. Name of Equipment Quantity Range Type 1 Voltmeter 2 0-15-30-75V A.C. 2 Voltmeter 2 0-150-300V A.C. 3 Ammeter 1 0-0.5-1A A.C. 4 Resistance 1 -- 5 Inductance 1 -- 6 Capacitance 1 -- 7 Auto-Transformer 1 0-270V A.C. 8 Connecting Wires 12-15 -- Theory :- (A) R-L Series Circuit :- It consists of a resistance of R -ohms & inductance of L- henry connected in series. In R-L Series circuit V s = R.M.S. Value of supply voltage V r = R.M.S. Value of resistance voltage drop = I R V L = R.M.S. Value of Inductance voltage drop = I X L I = R.M.S. Value of current Where, V r = I R and V L = I X L 2 2 V S = (V r + VL ) = (I R) 2 + (I X L ) 2 = I (R) 2 + (X L ) 2 I = V / R 2 2 + X L = V / Z Z = R 2 + X 2 L is the impedance of the circuit X L = 2 f L is the inductive reactance of the circuit L = X L / (2 f) X L = V L / I
(B) Series R C Circuit :- It consist of R Ohm and C Farads connected in series with source. V s = R.M.S. Value of supply voltage V r = R.M.S. Value of resistance voltage drop = I R V C = R.M.S. Value of capacitance voltage drop = I X C I = R.M.S. Value of current In R-C Series circuit V r = I R and V C = I X C 2 2 V S = (V r + VC ) = (I R) 2 + (I X C ) 2 = I (R) 2 + (X C ) 2 I = V / R 2 2 + X C = V / Z Where, Z = R 2 + X 2 C is the impedance of the circuit X C = 1 / 2 f C is the capacitance reactance of the circuit C = 1 / 2 f X C X C = V C / I (C) R-L-C Series circuit :- It consists Resistance of R ohms, Inductance of L- henry and Capacitance of C - Farads connected in series. V s = R.M.S. Value of supply voltage V r = R.M.S. Value of resistance voltage drop = I R V C = R.M.S. Value of capacitance voltage drop = I X C V L = R.M.S. Value of Inductance voltage drop = I X L I = R.M.S. Value of current
In R - L - C Series circuit V r = I R V C = I X C V L = I X L V S = V r 2 + (VL - V C ) 2 = (I R) 2 + (I X L - I X C ) 2 = I R 2 + (X L - X C ) 2 Where, Z = R 2 + (X L - X C ) 2 is the impedance of the circuit X L = 2 f L is the inductive reactance of the circuit L = X L / (2 f) X L = V L / I X C = 1 / 2 f C is the capacitance reactance of the circuit C = 1 / 2 f X C X C = V C / I V r = I R R = V r /I
Resonance: - Resonance in R-L-C series circuit: When capacitive reactance X C is equal to the inductive reactance X L then the circuit is said to be in resonance. The current will maximum, power factor is unity and lie in to phase with the supply voltage. - X C ) 2 V S = V r 2 + (VL - V C ) 2 = (I R) 2 + (I X L - I X C ) 2 = I R 2 + (X L At resonance, X L = X C Then I = V / R (Max) Now, X L = W C X C = 1 / W C W L = 1 / W C, 2 f L= 1/2 f C Fr = 1/2 L C Fr = Resonance Frequency Procedure :- (1) Connect the circuit diagram connecting R-L, R-C & R-L-C Series as shown in the circuit diagram. (2) The Auto-Transformer to zero position and switch on supply. (3) Adjust the Auto-Transformer till a suitable voltage is applied. (4) Take the reading from the voltage for V R,V L, V C & V S respectively. (5) Note the reading of ammeter. (6) Repeat step (3) Varying the supply voltage and record the reading in observation table.
Observation Table :- (A) For R-L Series Circuit :- S. No. 1. 2. 3. 4. 5. V r in Volt Voltmeter Reading V L in Volt V S in Volt Ammeter Reading (A) in Amp I Circuit Impedance Z = V / I Circuit Resistance R = V r / I Circuit Reactance X L = V L /I Circuit Inductance L = X L /2 f (B) For Series R C Circuit :- S. No. 1. 2. 3. 4. 5. V r in Volt Voltmeter Reading V C in Volt V S in Volt Ammeter Reading (A) in Amp I Circuit Impedance Z = V / I Circuit Resistance R = V r / I Circuit Reactance X C = V C /I Circuit Inductance C = 1/2 fx C (C)For R-L-C Series circuit :- S. No. 1. 2. 3. 4. 5. V r in Volt Voltmeter Reading V C in V L in Volt Volt V S in Volt Ammeter Reading (A) in Amp I Circuit Impedance Z = V / I Circuit Resistance R = V r / I Circuit Reactanc e X C = V C /I Circuit Reactance X L = V L /I
Calculation :-Calculation the various quantities as follows : (1) R = V r / I (2) X L = V L /I & L = X L / (2 f) (3) X C = V C /I & C = 1/ 2 f X C Result:- (1)Resistance (R) (2)Capacitance Reactance (3)Inductive Reactance (4)Inductor (L) (5)Capacitor (C) = ------------------ = ------------------- = -------------------- = -------------------- Henry = -------------------- F Precaution :- (1) Make tight connection. (2) Do not touch any live wire. (3) Remove parallax error while taking reading from various instruments
Study of constructional features of a D.C. Machine
Object:- Study of constructional features of D.C. machines. D.C. Machines model. Apparatus Required:- Theory:- A d.c. machine is an Electro-Mechanical energy conversion device. It can convert mechanical power into d.c. electrical power and is known as a d.c. generator. On the other hand, when it converts d.c. electrical power into mechanical power it is known as d.c. motor. Contructional Details:- There are two main parts of a d.c. machine:- (A) Field System: - (i) Electromagnetic Poles (ii) Yoke (iii) Field Winding (B) Armature: - (i) Armature Core (ii) Armature Winding (iii) Commutator (1) Magnetic Frame or Yoke :- The outer cylindrical frame to which main poles and inter poles are fixed and by means of which the machine is fixed to the foundation is called the Yoke. It serves two purposes: (i) It provides mechanical protection to the inner parts of the
machine. (ii) It provides a low reluctance path for the magnetic flux. The yoke is made of cast iron for smaller machines and larger machines; it is made up of cast steel. (2) Pole core and Pole shoes:- The pole core and pole shoes are fixed to the magnetic frame or yoke by bolts. They serve the following purpose: (i) They support the field or exciting coils. (ii) They spread out the magnetic flux over the armature periphery more uniformly. (iii) Since pole shoes have large X-section, the reluctance of magnetic path is reduced. Usually, the pole core and pole shoes are made of thin cast steel. (3) Field or Exciting coils:- Anamelled copper wire is used for the construction of field or exciting coils. The coils are wound on the former and then placed around the pole core. When direct current is passed through the field winding, it magnetizes the poles which produce the require flux. The field coils of all the poles are connected in series in such a way that when current flows through them, the adjacent poles attain opposite polarity. (4) Armature core:- It is cylindrical in shape and keyed to the rotating shaft. At the outer periphery slots are cut, which accommodate the armature winding. The armature core serves the following purpose: (i) It houses the conductors in the slots.
(ii) It provides an easy path for magnetic flux. Since armature is a rotating part of the machine, reversal of flux takes place in the core, hence hysterisis losses are produced. To minimize these losses silicon steel material is used for its construction. The rotating armature cuts across the magnetic field which induces an e.m.f. in it. The e.m.f circulates eddy currents which results in eddy current losses in it. To reduce these losses armature core is laminated, in other word we can say that about 0.3 to 0.5 mm thick stampings are used for its construction. Each lamination or stamping is insulated from the outer by varnish layer. (5) Armature Winding:- The insulated conductors housed in the armature slots are suitably connected. This is known as armature winding. The armature winding is the heart of d.c. machine. It is a place where conversion of power takes place i.e. in case of generator, mechanical power is converted into electrical power and in case of motor, electrical power is converted into mechanical power. On the basis of connections, there are two types of armature winding names as:- (a) Lap Winding (b) Wave Winding. (5) Commutator:- It is the most important part of d.c. machine and serves the following purposes:- (i) It connects the rotating armature conductors to the stationary external circuit through brushes. (ii) It convert the alternating current induced in the armature conductor into unidirectional current in the external load circuit in generator action whereas, it converts the alternating torque into unidirectional torque produced in the armature motor action.
The commutator is of cylindrical shape and is made up of wedgeshaped hard drawn copper segments. The segments are insulated from each other by a thin sheet of mice. The segments are held together by means of 2 V-shaped rings that fit into the V-grooves cut into the segments. Each armature coil is connected to the commutator segment through riser. (6) Brushes:- The brushes are pressed upon the commutator and from the connecting link between the armature winding and the external circuit. They are usually made of high grade carbon because carbon is conducting material and the same time in powdered form provides lubricating effect on the commutator surface. The brushes are held in particular position around the commutator by brush holders. (7) End housings:- End housings are attached to the ends of the main frame and support bearings. The front housing supports the bearing and the brush assemblies whereas the rear housing usually supports the bearing only. (8) Bearings:- The ball or roller bearings are fitted in the end housings. The function of the bearings is to reduce friction between the rotating and stationary parts of the machine. Mostly high carbon steel is used for the construction of bearings as it is very hard material. (9) Shaft :- The shaft is made of mild steel with a maximum breaking strength. The shaft is used to transfer mechanical power from or to the machine. The rotating parts like armature core, commutator, cooling fan etc. are keyed to the shaft.
Perform load test On a single phase transformer
Object: - To perform load test on a single-phase transformer & to determine the following: (a)- Efficiency at different loads & to plot graph between efficiency Vs load currents. (b)- Regulation of the transformer & to plot graph between regulation Vs load currents. Apparatus Required:- S.No. Name of equipments Range Quantity Type 1. voltmeter 0-150V 1 A.C. 2. Ammeter 0-10 A 1 A.C. 3. Wattmeter 250V,2.5A 1 A.C. 4. Lamp bank load 250V,1Kw 1-5. 1- Transformer 230\115V 1-6. 1- Variac 0-260V 1 - Theory: - Wattmeter has two coils,one is called current coil & other is called as pressure coil. The current coil carries the load current & the pressure coil carries a current proportional to and in phase with supply voltage. The deflection of wattmeter depends upon the currents in the two coils and upon the P.F. of circuit. In the wattmeter the current coils are arranged for different ratings i.e. 2.5,5 Amp etc. and similarly voltage coils are rated for 125V, 250V, and 500V etc. While doing the experiment the proper range should be selected according to the load voltage & current.
The reading should be multiplied by a factor called the Multiplying factor. Multiplying factor of wattmeter = Current range * Voltage range Full scale reading of wattmeter Performance of the transformer can be determined as follows from the observation of load test- Efficiency of the transformer can be determined as ratio of the power output to the power input. Let power input to the transformer = W 1 Power output to the transformer = VI Thus the efficiency of particular load = VI\W 1 *100 % Efficiency of transformer will be maximum if Iron losses = Copper losses. Regulation of transformer determined as The change in secondary terminal voltage from no load to full load with respect to no load voltage is called voltage regulation of the transformer. Let E 2 = Secondary terminal voltage at no load (Bulb off) V 2 = Secondary terminal voltage at full load Then Voltage regulation = (E 2 -V 2 ) \ E 2 * 100
Circuit Diagram:-
Procedure:- 1. Connect the diagram as shown in fig. 2. Ensure that there is no load on the secondary winding of the transformer. 3. Switch on the A.C. supply & record no load voltage across the secondary winding. 4. Adjust approximately 10% of full load current in the secondary by switching on certain lamp bank load. Record the reading of the entire meter. 5. Reduce the load on the transformer by switching off the bulbs in the lamp bank load. 6. Switch off the A.C. supply. Observation table:- Multiplying factor: - S.No. 1. 2. 3. 4. 5. Input V 1 V 2 E 2 I 2 V 2 I 2 % %Regulation Load
Calculate the efficiency using the formula = (Output power \ Input power) *100 = (V 2 I 2 \W 1 )*100 % The Voltage Regulation %Voltage Regulation = (E 2 -V 2 )\E 2 *100 % The efficiency of the transformer on full load = The regulation of the transformer = Calculation:- Report:- Precaution:- 1)-Connection should be tight. 2)-Load on the transformer should nit increase beyond its capacity.
Study of transformer name plate Rating & Determination of ratio
OBECT: 1. Study & construction of single phase transformer. 2. Name plate rating of single phase transformer 3. Determination of transformation ration. APPARATUS REQUIRED: S.NO. Name of equipment Quantity Range Type 1. 1- Transformer 1 230/115V,1KVA Shell type 2. Auto Transformer 1 0-270,10A Variac type 3. Voltmeter 1 0-300 V Moving iron 4. Voltmeter 1 0-150 V Moving iron THEORY: Study & construction of single phase transformer: The main elements of a transformer are two copper coils & laminated silicon steel core.a transformer is a static device or a machine that transforms electrical energy from one circuit to another electrical circuit through the medium magnetic flux. And without a change in frequency. The electrical circuit which receive energy from the supply mains is called primary winding and the other circuit which,which delivers electrical energy to the load,is called secondary winding.theoretically it may seem that transformers may be built to handle any voltage or current. But in reality there are limits to both the voltage & current. The name plate rating of a power transformer : The name plate rating of a power transformer usually contains Volt ampere rating of transformer in KVA. Voltage ratio or turn ratio in V 1 /V 2... Frequency of 1- or 3-. Equivalent impedance of a transformers in %.
A typical name plate of a 1- transformer is as follows: 230 Volts/115Volts, 50 Hz, 1KVA, Shell type,10 Amp. Here 1 KVA is the rated output at output terminals.230/115means when 230V. is the applied to the primary,the secondary voltage on full load at specified power factor is 115volts.The ratio of V 1 & V 2 is not exactly equal to N 1 /N 2, because of voltage drop in primary & secondary. Rated primary & secondary current can be calculated from the rated KVA and corresponding rated voltage thus Rated (Full load ) primary current = KVA /V 1 = 1000/230 = 4.35 Amps Rated (Full load ) secondary current = KVA /V 2 = 1000/115 = 4.35 Amps Rated frequency is the frequency for which the transformer is designed to operate. TRANSFORMATION RATIO: The turn ratio of the single phase transformer can be found by measuring the primary & secondary voltage. Let V 1 &V 2 is the primary and secondary voltage at on load. 1/K = V 1 / V 2 = N 1 /N 2 = I 2 /I 1 = Turn Ratio Induced E.M.F. in primary winding, E 1 =4.44f N 1 Volts Induced E.M.F. in secondary winding, E 2 =4.44f N 2 Volts For ideal transformer E 1 = V 1 and E 2 = V 2 Hence, Transformation Ratio K = V 2 / V 1 = N 2 / N 1 = I 1 / I 2 PROCEDURE: 1. Connect the circuit as per figure & set up auto transformer to zero position. 2. Switch on A.C. supply and adjust the Auto transformer till a suitable voltage. 3. Record voltage, V 1 across the primary and V 2 across the secondary winding. 4. Vary the Auto transformer and repeat above step,take at least 3 readings. 5. switch off the supply. OBSERVATION: S.NO. Primary Voltage V 1 Secondary Voltage V 2 K = V 2 / V 1 1. 2. 3.
CIRCUIT DIAGRAM:
RESULT: The transformation ratio of given transformer is.. PRECAUTION: 1. Connection should be tight. 2. Do not touch on live wire. 3. Load on the transfer should not increase beyond its capacity.
Open circuit & Short circuit test on 1- Transformer
OBECT: 1. To calculate the complete parameter of the equipment of 1- transformer. 2. To determine iron & copper losses. 3. To calculate efficiency & voltage regulation at 1/4, 1/3, 1/2, 3/4 full load and 1.25times full load at 0.8 P.F. lagging. 4. To plot the efficiency curve v s load. APPARATUS REQUIRED: S.NO. Name of equipment Quantity Range Type 1. 1- Transformer 1 230/115V,1KVA Shell type 2. Auto Transformer 1 0-270,10A Variac type 3. Voltmeter 1 0-150 V Moving iron 4. Ammeter 1 0-0.5A Moving iron 5. Ammeter 1 0-0.10A Moving iron 6. Wattmeter 1 2.5/0.5A,125/250/500V Dynamometer 7. Connecting leads 10-12.. THEORY: These two test on transformer help to determine- 1. The parameters of equipments circuit of 1- transformer. 2. The voltage regulation of 1- transformer. 3. The efficiency of 1- transformer. OPEN CIRCUIT TEST OR NO LOAD TEST: In this test voltmeter, Ammeter & Wattmeter are connected on low voltage side of transformer.the high voltage is left open circuited.the rated voltage applied to the primary.the ammeter reads no load current, or the exciting I 0.Since I 0 is quite small (2 to 6% of rated current) the primary leakage impedance drop is almost negligible and for all practical purpose the applied voltage V 1,is equal to induced E.M.F V 1.The input power (iron loss) is given by wattmeter reading,consist of core loss and ohmic loss.since the exciting current is very small, the ohmic losses during open circuit test is negligible as compared to normal core loss.
CIRCUIT DIAGRAM: -
CALCULATION: Applied rated voltage on low voltage side = V 1 Exciting Current or no load current = I 0 Wattmeter reading, W o / Iron loss, P C No load power factor, Cos o Working component, I W Magnetizing component, I = V O I O Cos o = P C / V O I O = I O Cos o = I O Sin o Core loss Resistance, R C = P c I 2 W = V 1 /I W =V 1 /I 0 Cos 0 Magnetising reactance, X = V 1 /I = V 1 /I o Sin o Thus open circuit test gives the following information: 1. Core loss at rated voltage & frequency. 2. The shunt branch parameter of equivalent circuit i.e., X & R C. SHORT CIRCUIT TEST: The low voltage side of the transformer of the transformer is short circuited & instrument are placed on H.V. side. Apply the low voltage on H.V. side & with the help of autotransformer go on increasing the applied voltage till the rated current starts flowing in the short circuited winding(l.v. side).the primary voltage 10% to 12% of its rated value is sufficient to circulate the rated current in short circuited winding. Since the core flux induces the voltage, which is 1% to 6% of its rated value hence core loss can be neglected. The wattmeter records only the ohmic loss is both, the primary & secondary winding. CALCULATION: V sc, I sc & P sc are the voltmeter ammeter & wattmeter reading Z SC = V SC /I SC R SC = P SC /I 2 SC X SC = Z 2 SC R 2 SC
Thus the short circuit test gives the following information 1. Ohmic loss at rated current and frequency. 2. Equivalent resistance and leakage reactance and leakage impedance. Load x P.F. The efficiency at any load, = X 100 % Load x P.F.+ W o + I o 2 R o PROCEDURE FOE OPEN CIRCUIT TEST: 1. Connect the circuit diagram as shown in figure and set up the autotransformer at zero position. 2. Adjust the supply voltage with the help of autotransformer to 230 volts with secondary winding terminal open. 3. Record the ammeter, voltmeter,wattmeter reading. 4. Vary the supply voltage with the help of the auto transformer and enter the reading in observation table. OBSERVATION TABLE FOR OPEN CIRCUIT TEST S.NO. 1. 2. 3. Primary Voltage Voltmeter Reading Input Current Ammeter Reading Input power in watts Wattmeter reading PROCEDURE FOE SHORT CIRCUIT TEST: 1. Connect the circuit diagram as shown in figure and set up the autotransformer at zero position. 2. Adjust the supply voltage with the help of autotransformer (keep in mind that 10-12% of rated voltage is sufficiency) with secondary winding terminal short circuited and circulate full rated current in short circuited winding. 3. Record the ammeter, voltmeter,wattmeter reading. 4. Vary the supply voltage with the help of the auto transformer and enter the reading in observation table. 5. Three readings adjust at 50%,86.6% & 100% rated full load current.
OBSERVATION TABLE FOR SHORT CIRCUIT TEST S.NO. 1. 2. 3. Primary Voltage Voltmeter Reading Input Current Ammeter Reading Input power in watts Wattmeter reading RESULT: PRECAUTION: 1. In open circuit test, the H.V. side should be open circuited(left side). 2. In open circuit test, low voltage should be apply to the H.V. side & it should be increased gradually to circulate the rated current in H.V. side. 3. Connection should be tight. 4. Do not touch on livewire.
Measurement of power in 3 phase A.C. circuit by two wattmeters method.
OBJECT: 1. To Measure the active reactive power in 3 circuit. 2. To Measure the power factor. APPARATUS REQUIRED: 1. 3-phase Auto transformer 20 Amp. 440v 50 Hz. 2. Wattmeter dynamometer type 2 No. 250v, 5A 3. Ammeter moving Iron type :1 no(10a) 4. Voltmeter Moving Iron type 1 No.(600V) 5. 3 Load or 3 induction motor (415V, 5H.P.) 6. connective leads. THEORY: Two wattmeter method can be employed to measure power in a 3- phase,3 wire star or delta connected balance or unbalanced load. In this method, the current coils of the wattmeters are connected in any two lines say R and Y and potential coil of each wattmeters is joined across the same line and third line i.e. B. Then the sum of the power measured by two wattmeters W 1 and W 2 is equal to the power absorbed By the 3 load Total power P = 3V L I L COS = (W 1 +W 2 watts)* M.F. Power factor COS = (W 1 +W 2 ) *M.F. 3 V L I L = P/ 3 V L I L And reactive power of load= Q= 3(W 1 +W 2 )* M.F.
CIRCUIT DIAGRAM:
PROCEDURE: 1. Connect the Voltmeter, Ammeter and Wattcmeters to the load through 3 Autotransformer as shown fig and set up the Autotransformer to Zero position. 2. Switch on the 3 A.C. supply and adjust the autotransformer till a suitable voltage. Note down the readings of wattcmeters, voltmeter& ammeter 3. Vary the voltage by Autotransformer and note down the Various readings. 4. Now after the observation switch off and disconnect all the Equipment or remove the lead wire. OBSERVATION TABLE Multiplying factor of the wattmeter is. S.NO. Voltmeter Readings V in volts Ammeter Readings I in Amp. Wattmeter Reading in watt Total power P=(W 1 +W 2 )* M.F. Total reactive power P = 3(W 1 +W 2 )* M.F, Power factor Cos = (W1+W2)M.F 3 V L I L 1 2 3 4 5 W 1 W 2
CALCULATION: Total power = (W 1 +W 2 ) *Multiplying factor tan = 3 (W 2 -W 1 ) W 1 +W 2 = tan -1 3 (W 2 -W 1 ) Power Factor W 1 +W 2 = cos = ( W 1 +W 2 ) M.F. 3 V L I L Reactive power = 3(W 1 -W 2 )* M.F., I R =I Y = I B for Balance Load RESULT: The power measured in the circuit and there corresponding power factors in observation table. PRECAUTION & SOURCES OF ERROR: 1. Proper currents and voltage range must be selected before putting the instruments in the circuit. 2. If any Wattmeter reads backward, reverse its pressure coil connection and the reading as negative. 3. As the supply voltage Fluctuates it is not possible to observe the readings correctly.
Study of Three Point & Four point starter
OBJECT: Study of 3 point and 4 point starter. THEORY: When a motor is stationary, there is no back E.M.F. and the armature behaves as a low resistance circuit. If the motor is switched on across the supply, it draws a heavy current from the mains. This may result 1. In damage to the armature winding and insulation due to overheating. 2. In detrimental sparking at commutator. 3. In large dips in the supply voltage. 4. In high starting torque and a very rapid acceleration with possibility of damage to the rotating parts of the D.C. machine and thus load connected to the shaft. To limit the starting current, a starter is used which reduces the voltage applied to the armature during the starting period. THREE-POINT STARTER: The wiring diagram of a three-point starter is shown. The starting resistance is connected between the contact studs 2& 7, the various tapings on the resistance being connected to intermediate studs. The connection to the starter resistance is made through a movable contact fitted to a handle H capable of sliding over the studs. The H is fitted with a spring, which tends to restore the handle to stud 1 i.e. off position. The field of the motor is supplied through the starter terminal marked F as shown in the diagram. One of the supply lines is connected to the L- terminals of the starter and the other to the armature and field of the motor. As soon as the handle is pulled to stud 2 against its spring tension, the armature as well as the field of the motor gets the electrical supply and armature starts rotating. At this stage the total starting resistance between studs 2& 7 is in the armature circuit. When the motor has picked up speed, the handle is moved to stud 3, cutting off the resistance between studs 2&3. The contact between the handle and the stud is such that the electrical connection does not break in shifting it from one step to another. Slowly the handle is moved to stud 7 where it is held in position by the magnetic force of
attraction, a soft iron keeper. The force of attraction is provided by an electromagnet having a winding placed in series with the field circuit. The electromagnet is called the holding magnet or no volt release or sometimes low voltage release and performs Following functions:- (1) In the event of power failure, the electromagnet NC is no longer energized and the spring tension pulls back the handle to off position. If during supply interruptions the starter handle fails to return to off position, the motor will be damaged when the power is restored as these would be no additional resistance in the armature circuit. Thus the whole purpose of the starter will be defected. The holding coil in conjunction with the spring takes care of this hazard automatically. (2) If accidentally the shunt field circuit opens, the starter handle is released and it comes to off position providing a protection against the tendency of motor to run away in such a case. (3) This arrangement prevents the possibility of the starter handle being left in advertently on any one of the intermediate steps. This is the starting resistance cannot be left in the circuit permanently. The total current drawn by the motor passed through the winding of a small electromagnet OC known as overload release. This magnet in the event of overload attracts a soft iron armature P that in turn short circuits the terminals X and Y of the no volt coil through contact C. The distance between the magnet and P is usually adjustable and is so adjusted that P gets attracted only when current drawn by the motor also flowing through the overload release coil exceeds a preset value. Therefore when the motor is overloaded, this electromagnetic short circuit the holding coil terminals and the starter handle swings back to off position, automatically switching off the motor. Since it prevents continuous operation of the motor on overload, it is known as overload release.
FOUR POINT STARTER: In a three point starter, the field current of the motor flows through the holding coils. When the resistance is inserted in a field circuit to increase the speed beyond a certain limit, the holding coil current may reduce to such an extend that the electromagnetic pull of the holding coil is no longer sufficient to overcome the handle spring tension. In such a case, the starter is not suitable for wide range of speed control by field weakening method is desired. For such application a fourpoint starter is used. Therefore 4 point starter has a holding coil connected across the d.c. supply in series with the starting resistance instead of being connected in series with the field winding. As in a 3- point starter the holding coil functions as no volt release. An overload release is also provided in the 4 point starter. Occasionally a 4 point starter is equipped with additional field weakening resistors for speed control.