205--MI Lab Manual by Prof. N.J.Kumbhar

Experiment No. 1
Object
Measurement of resistance by ammeter voltmeter method.

Objectives
To measure the unknown resistance.

Apparatus

Sr.No.
Apparatus
Range
Type
Quantity
1
Ammeter
(0-2.5) A
MI
1
2
Voltmeter
(0-300) V
MI
1
3
Rheostats
600Ω, 1 A
Wire Wound
1
4
Connecting Wires
2.5sq.mm.
Copper
Few

Procedure

1)      Connect the circuit diagram as Shown in figure.
2)      Switch on the power supply.
3)      Keep Rheostat in minimum position.
4)      Note down the values in the various meters.
5)      Vary the rheostat.
6)      Note down the values in the various meters.
7)      Now calculate the values of unknown resistance.







Circuit Diagram

00475

Observation Table

Sr.
No.
VL
Volt
Il
Amp
Calculated Resistance R
Ohm
Observed Resistance R
ohm
1.




2.




3.




4.




5.




6.





Hand Calculation:






Result
Thus we have studied the measurement of resistance by using V-I method.

Questions
1.      Explain with neat diagram working of attraction type moving iron instrument.
2.       Explain with neat diagram working of electrodynamometer type wattmeter.































Experiment No. 2
Object
Measurement of Reactive Power by one wattmeter with all possible connectionsof current coil and pressure coil.

Objectives
To understand:

1)      The working principles of wattmeter.

2)      Definitions of active and reactive power.

3)      Meaning of Balance three phase load.

4)      To connect the one wattmeter to measure the reactive power in three phase balance circuit.

5)      To compare practical obtained reading with theoretically calculated for the correctness.

Theory
Reactive power measurement in 3 phases circuit using one wattmeter:
                In  this  method  current  coil  of  wattmeter  is  connected  to  any  one  line  and  pressure  coil  is connected across remaining two lines, the connection is as shown in the circuit diagram,
W = ICVPC Cos (IC^VPC)

    = IRVYB Cos (IR^VYB)
To find IR^VYB assume load to be star connected having Cosφ lagging p.f.The phasor diagram is as shown below:










VYB = VY-VB
IR^VYB = 90-φ

W = IRVYB Cos (90- φ)

W = IRVYBSinφ

   = VLILSinφ

Thus the wattmeter reading isW = VLILSinφ
Total reactive power = -√3 W

Apparatus 

Sr.No.
Apparatus
Range
Type
Quantity
1
Wattmeter
(10A/600V)
MC
1
2
 Voltmeter
(0-600)V
MC
1
3
Ammeter
(0-10A)
MC
1
4
Load bank
R-L
5
Connecting Wires
2.5sq.mm.
Copper
Few

Procedure

1)      Make the connections as shown in the circuit diagram.

2)      Keeping the some load, switch on the supply
3)      Note down the wattmeter other meter readings.

4)      Turn off the supply.

5)      Now calculate the value of reactive power using the formula.







Circuit Diagram

Reactive power measurement:











Observation Table






Observations



Sr. No








VL
IL

W
Total Reactive power (Var) Q= -3 W
Power
Factor
CosΦ







(Volt)
(Amp)

(Var)


















1.



















2.










3.






















Calculations

Voltmeter reading
& Ammeter reading                           
=  -------     
&-----------


Wattmeter Reading W = _______





Power factor   CosΦ = Cos {tan-1(√3(W2-W1)/(W1+W2))}= _______
[From previous circuit diagram for same load condition]
Sin Φ =_________
P= √3VISinΦ= Reading of the wattmeter= _________ Var
  
Hand Calculation:















































Result:
Reactive power =__________ Var

Conclusion:
One wattmeter is enough to measure reactive power in the 3 phase circuit accurately.

Questions
1.      Derive the equation to calculate value of multiplier.
2.      State essential requirements for of multiplier.
3.      Explain how one wattmeter can be used to measure reactive power in three phase balanced load. 



Experiment No. 3
Object
Title:Measurement of Active & reactive power in three phase circuit using two wattmeter method (Balanced & Unbalanced Loads).

Objectives
To understand:
1.      The working principles of wattmeter.
2.      Definitions of active and reactive power.
3.      Meaning of Balance three phase load.
4.      To connect the two wattmeter to measure the active and reactive power in three phase balance circuit.
5.      To compare practical obtained reading with theoretically calculated for the correctness.

Theory
            Two wattmeter method:
This is generally used method for measurement of power in 3 phase, 3 wire load circuit. This method can be used for unbalanced and balanced loads. The current coil of 2 wattmeter’s are inserted in any 2 lines and pressure coils are connected from its own current coil to the line without current coil.If W1 and W2 are the 2 wattmeter readings then the total power is   
W= W1+W2
In case of balanced load the power factor can be calculated from W1 and W2 readings for balance lagging power factor load.
W1 = VLIL Cos (30-φ)
W1 = VLIL Cos (30+φ)
W1+W2 = √3 VLIL Cos φ                            (1)
W1-W2 = VLIL [Cos (30-φ) - Cos (30+φ)]
=VLIL[(Cos30Cosφ)+(Sin30Sinφ)− (Cos30Cosφ)+(Sin30Sinφ)]
   = VLIL[2Sin30Sinφ]
 = VLIL[2x1/2xSinφ]
W1-W2   = VLILSinφ 
Taking ratio of (1) and (2)


W1-W2VLIL Sin φ
                                                        =            
W1+W2   √3VLILCosφ

√3 (W1-W2)
tanφ =
(W1+W2)

√3 (W1-W2)
Φ= tan -1
(W1+W2)

Therefore power factor

[tan-1 √3 (W1-W2)]
Cos φ =Cos
  (W1+W2)

For balanced load:
Let us consider the rms values of the currents and voltages to prove that the sum of the two wattmeter gives total power consumed by three phase load.
W1 = IR x VRB x Cos(IR^VRB)
W2 = Iy x VRB x Cos (IY^VYB)
To find the angle between (IR and VRB) and (IY and VYB). Let us draw phasor (assuming load power factor be Cos φ lagging.


            VRB =VR – VB and
VYB = VY – VB
VR ^ IR = φ and VY ^ IY= φ

VR  = VY  =VB  = VPH
&
VRB  = VYB  = VL

IR  = IY= IB  = IPH

IR  ^ VRB  = (30 -φ)
And
IY ^ VYB = (30 + φ)
W1 = IRVRB Cos (30 -φ)

= VLIL Cos (30 -φ)
W2 = IYVYB Cos (30 +φ)
=VLIL Cos (30 + φ)
W1+W2 = VLIL [Cos (30-φ Cos (30+φ
=√3VLILCosφ

Total active power = √3VLILCosφ

            Total reactive power = √3VLILSinφ







Apparatus

Sr.No.
Apparatus
Range
Type
Quantity
1
Wattmeter
(10A/600V)
MC
1
2
 Voltmeter
(0-600)V
MC
1
3
Ammeter
(0-10A)
MC
1
4
Load bank
R-L
5
Connecting Wires
2.5sq.mm.
Copper
Few

Procedure
1)      Make the connections as shown in the figure.

2)      Switch on the 3 phase power supply.

3)      Apply the load confirm that all three ammeters read same reading for balance load.

4)      Note down the values in the various meters.

5)      Turn off the 3 phase supply.

6)      Now calculate the value of the active and reactive power using the formulae.

7)      Theoretical values are calculated and compared with the experimental values.

Circuit diagram

Active power measurement:












Observation Table
Sr.No
Load
IL
(Amp)
Supply VL
(Volt)
Wattmeter Reading (Watts)
Total Power
W= W1+W2
(Watts)
Power Factor
cosФ=W /√3VLIL
Active
Power W =√3VLILcosФ
(Watts)
Reactive
PowerW =√3VLILSinФ
(VAR)
W1
W2
1








2








3








4










 Sample Calculations
Line current IL= _____
Amps Line voltage VL= -----------------
Wattmeter Readings W1______Watts W2 =_______Watts

Power factor CosΦ = Cos {tan-1[√3(W2W1)/(W1+W2)]} =______
 Active power P= √3 VLILCosΦ = ___________Watts = W1 +W2
 Reactive power = R=√3 VLILSinΦ______________VAR

Hand calculations:











Result
Average Active Power     P=…………..Watt
Average Reactive Power Q =……………VAR

Conclusion
We can measure the power in three phase circuit using two wattmeter for different load conditions.
Questions

1.      State various errors introduced in measurement of electrical quantities.
2.      Define standard & give its classification.
3.      State the necessity of extension of range of voltmeter.
4.      What is multiplier?
5.      Write short note on reactive power measurement of three phase circuit.
























Experiment No. 4
Object
To measure the resistance of a given specimen in medium resistance range by usingWheatstone bridge.

Objectives
To understand
1)      Classification of resistance based on measurement.
2)       Different methods of medium resistance measurement.
3)      Working Wheatstone bridge.

Apparatus

Sr.No.
Apparatus
Range
Type
Quantity
1
Wheatstone bridge Kit
2
Unknown R
1
3
D.C. Power pack
1
4
Connecting Wires
Copper
Few

Procedure

1)     Make the connection as per circuit diagram.
2)     Switch on the supply of D.C. Power pack and apply 3volt to bridge.
3)     Set convenient value of P/ Q ratio.
4)     Vary the resistance of standard arm ‘S’ until galvanometer shows zero deflection.
5)     Repeat above procedure for different value of P/ Q ratio.
6)     Tabulate the reading and workout unknown resistance of spaceman connected by using formula R= P/ Q x S.
7)     Repeat all above procedure for different unknown specimens.




Circuit Diagram












Observation Table

Sr.
No.
P
ohm
Q
Ohm
S
Ohm
Calculated Resistance R ohm
Observed Resistance R ohm
1.





2.





3.





4.






Hand Calculations:













Conclusion
From this experiment we can calculate the unknown resistance and compared with the observed resistance.

Questions
1)      Which are the different methods of measuring unknown resistance?
2)      Explain with neat diagram Wheatstone bridge for measurement of unknown resistance.
3)      What are the types of Wheatstone bridge?





























Experiment No. 5
Object
Measurement of inductance using Maxwell Bridge.

Objectives
To understand different types of measurement of parameters of circuit (Null and deflection method), importance of null deflection method of measurement and to understand the suitability of the bridge for the low Q factor.

Theory

Maxwell’s bridge explanation:

Let                                       L1= unknown inductance

R1= effective resistance of inductor L1

R2, R3, R4= known non-inductive resistances

C4=variable standard capacitor

D=Detector
Operation:

This method is very suitable for accurate measurement of medium inductances. In this method unknown inductance is determined by comparing it with a standard variable capacitance. Such a bridge circuit is as shown in the figure.

For balance condition of bridge:
Z1Z4=Z2Z3 (R1+jwL1)R4/ (1+jwC4R4)=R4

Or R1R4+jwL1R4= R2R3+jwC4R4R2R3
Equating real and imaginary quantities

R1R4=R2R3

Or
R1=R2R3/R4
And
jwL1R4=jwC4R4R2R3
Or
L1=C4R2R3

The bridge is preferably balanced by varying C4 and R4.

The Q factor of the inductor is given by wL1/R1 and at balance condition
Q=wL1/R1=wC4R4

ADVANTAGES:
       1) The two balance equations are independent if we choose R4 and C4 as variable elements.

2)    The frequency does not appear in any of the two equations.

3)    This bridge is very useful for measurement of a wide range of inductance at power and audio frequency

Apparatus

Sr.No.
Apparatus
Range
Type
Quantity
1
Maxwell Bridge Kit
2
Unknown L
1
3
D.C. Power pack
1
4
Connecting Wires
Copper
Few

Procedure

1)     Make the connection as per circuit diagram.
2)     Switch on the supply of D.C. Power pack and apply 3volt to bridge.
3)     The bridge is preferably balanced by varying C4 and R4.
4)     Until galvanometer shows zero deflection.
5)     Tabulate the reading and workout unknown inductance of spaceman connected by using formula L1=C4R2R3.
6)     Repeat all above procedure for different unknown specimens.









Circuit Diagram










Observation Table


Sr.
No.

R2
ohm
R3
ohm
R4
ohm
C4
Micro -farad
Calculated Inductance
L Henry
Observed Inductance
L Henry














1




















    2
















Hand Calculations:





Conclusion:
From this experiment we can calculate the unknown inductance and compared with the observed inductance.

Questions
1.      Which bridge is used to measure unknown inductance?
2.      With neat circuit diagram derive the balancing condition for Maxwell’s inductance bridge.
3.      What is Q factor?





























Experiment No. 6
Object
Measurement of Capacitance by using Schering Bridge.

Objectives
To study Schering bridge and measure unknown capacitance.

Theory

A very important bridge used for the precision measurement capacitance & their insulating properties in the Schering Bridge its basic circuit arrangement is shown in figure. The standard capacitor is supposed to be high quality mica capacitor (low costs) for general measurement or an air capacitor for insulation measurement. For balance the general equation,
                  Z1Z4 =Z2Z3                                                                                      (1)
                      Z1 = [R1 * (1/ jωc1)] / [R1 + (1/ jωc1)]
                      Z2 = R2
                      Z3 = 1/ jωc3
                      Z4 = Rx + (1/ jωcx)
From equation (1)
[R1 * (1/ jωc1)]/[ R1 + (1/ jωc1 )]*( Rx + (1/ jωcx)) = R2 * (1/ jωc3)

[R1/ ( jωc1 R1+ 1)]*( Rx + (1/ jωcx)) = (R2 */ jωc3)

R1*Rx+(R1/ jωcx) = (R2 */ jωc3)*( jωc1 R1+ 1)

R1*Rx+(R1/ jωcx) = (R2 */ jωc3)*( jωc1 R1+ 1)

R1*Rx+(R1/ jωcx) = (R2 */ jωc3)*( jωc1 R1+ 1)
By equating real and imaginary parts, we get
Rx= R2C1/C3        &Cx = R1C3/R2
In our system we have made C3 a variable capacitor using rotary s/w Both R1 &R2 are made variable by using equationhim helical post (10 K each) the bridge is widely used for gating small capacitor at low voltage with good precision. Rx is assumed to be negligible small for good quality capacitance & hence, no provision for c1 is made.
FORMULA:
Cx = R1/R2×C3, if R1=2.2k, R2=1k, C3=0.1 then
Cx = 2.2k/1k×0.1mfd=0.22mfd.

Apparatus

Sr.No.
Apparatus
Range
Type
Quantity
1
Schering Bridge  Kit
2
Unknown C
1
3
D.C. Power pack
1
4
Connecting Wires
Copper
Few


Procedure                                                                                                                              

1)     Make the connection as per circuit diagram.
2)     Switch on the supply of D.C. Power pack and apply 3volt to bridge.
3)     In our system we have made C3 a variable capacitor using rotary s/w
4)     Both R1 &R2 are made variable.
5)     Until galvanometer shows zero deflection.
6)     Tabulate the reading and workout unknown capacitance of spaceman connected by using formula Cx=R1/R2×C3.
7)     Repeat all above procedure for different unknown specimens.

Precautions

1)      Operate ten ohm very carefully. 
2)      Ensure firm connection across terminals for capacitance.
3)      You may also use external signal sources in the range 5 to 10 voltage.




Circuit Diagram



Observation Table


Sr.
No.

R1
ohm
R2
ohm
C3
Micro –farad
Calculated Capacitance
Micro -farad
Observed Capacitance
Micro -farad









1











2





































Sample Calculations                           

FORMULA:
Cx = R1/R2×C3, if R1=2.2k, R2=1k, C3=0.1 then
Cx = 2.2k/1k×0.1mfd=0.22mfd.

Hand Calculation:                                                 






                                   





































Conclusion

From this experiment we can calculate the unknown capacitance and compared with the observed capacitance.

Questions

1.Schering Bridge is used to find out.
2.What is dissipation factor?
3.Explain Schering Bridge.

























Experiment No. 7
Object
Linear Variable Differential Transformer.
Objectives
Measurement of displacement by using Linear Variable Differential Transformer.
Theory
The Linear Variable Differential Transformer (LVDT) is a displacement transducer similar in appearance to a linear potentiometer; however, the mechanism by which it operates is very different. LVDT’s tend to be much more expensive than pots and offer significant advantages in longevity, friction, and linearity.

Apparatus

Sr.No.
Apparatus
Range
Type
Quantity
1
L.V.D.T kit,
2
Connecting Wires
2.5sq.mm
Copper
Few

Procedure

1.      Connect the terminals marked “PRIMARY” on the front panel of the instrument to the terminals marked “PRIMARY” on the transducer itself, with the help of the flexible wires provided along with. Observe the colour code for the wires provided and the colour of the binding posts.
2.      Identically establish connections from terminals marked “SECONDARY”. Observe the colour code for the wires provided and the colour of the binding posts.
3.      Keep pot marked “MAX” in most anticlockwise position.
4.      The magnetic core may be displaced and the pointer may be brought to zero position. If the DPM is not indicating zero, use potentiometer marked “MIN” to get a zero on DPM at zero mechanical position. If the core is displaced in both directions, the meter must show indications with appropriate polarity. Now displace the core to 19 mm positions in one of the directions .Adjust the “MAX” pot to get an indication of 19.00 on the DPM under this condition. Now the set up is ready for experimentation. You may again check for zero position also.
5.      Now the core can be displaced by a known amount in the range of +19 and -19 mm and the meter readings can be entered in the table given below. It may noted that by inter changing the secondary terminals or the primary, the polarity of the meter indication can be reversed for a given direction of input displacement.
6.      For LVDT provided with dial gage (range 0 to 10mm or 0 to  25 mm or 0 to 20 mm), adjust the magnetic core carefully by rotating  the control knob in  the clockwise direction. Note that for this type (Dial gage type) arrangement, displacement in only one direction i.e. positive direction is possible. Operate the control knob very carefully.
7.      Plot the graph of input displacement and the output indication on the X and Y axis respectively.
Output Waveform:

Observation Table

Sr.No.
Displacement towards right
in mm
Indicated Displacement
in mm
Displacement towards left
in mm
Indicated Displacement
in mm































Conclusion

Thus we measured displacement non electrical parameter by using LVDT

Questions

1.Explain the working of LVDT.
2.What are the advantages and disadvantages of LVDT?
3.What are the applications of LVDT?
















Experiment No. 8
Object
Calibration of Single phase Induction type energy meter at different power factors.
Objectives
To learn the construction and working of single phase induction type energy meter, to connect the energy meter in the supply circuit and also to calibrate the energy meter for different load condition ( by listing the errors and carrying out the adjustments in energy meter to minimize the errors).
Apparatus

Sr.No.
Apparatus
Range
Type
Quantity
1
Wattmeter
(10A/600V)
MC
1
2
1 ph energy meter
1
3
Voltmeter
(0-600)V
MC
1
4
Ammeter
(0-10A)
MC
1
5
Load bank
R-L
1
6
Connecting Wires
2.5sq.mm.
Copper
Few

Procedure

1)      Make the connections as shown in the circuit diagram.

2)      Adjust the supply voltage to rated value.

3)      Apply 10% of the rated load (approx 1-2amps)

4)      Note down the all meter reading and time taken for 10 rotations of the disc of energy meter.

5)      Tabulate the reading and workout the % error

6)      If error is greater than 10% then carryout the light loads adjustment to reduce the error less than the 10%.

7)      Now apply 90% of the rated load (approx 8.5 to 9.5amps).

8)      Note down the all meter reading and time taken for 10 rotations of the disc of energy meter.

9)      Tabulate the reading and workout the % error

10)  If error is greater than 10% then carryout the top load adjustment(brake magnet position adjustment) to reduce the error less than the 10%.

11)  For different load condition note down all meter reading and time for 10 rotations of disc.

12)  Calculate the indicated energy, actual energy and percentage error.

13)  Plot the graph % error verses load current.

Circuit Diagram












Observation Table


Sr. No.
IL
VL
Power
No. of
Time
Indicated
Actual
% error


Amps
Volts
watts
rotations
seconds
energy
energy












1.



















2



















3



















4











Calculations:
                
Wattmeter constant= (selected voltage range*selected current range*p.f.)/ (full scale deflection) Energy meter constant=______________ ws
Voltmeter reading VL   = ______ Volts
Ammeter reading IL= _______ Amps
  Wattmeter reading W=________ Watts
  No. of rotations= 10
Time in Sec= ________
Indicated energy=Energy meter constant*No. of rotations= _________ws
Actual energy=(Wattmeter reading *time)= _________ ws
% Errors=[(Ei-Ea)/Ei]*100=_________%

Hand Calculation:




















Result:

The error is reduced after carrying out adjustment to minimize the error from __________% to __________%.

Conclusion:
1.      Adjustments are separate for light load and top load.
2.      Calibrated energy meter will have very less or zero error in its reading.

Questions
  1. State various errors & adjustments in single phase energy meter.
  2. Explain the working principle of single phase energy meter.
  3. Problems on limiting error calculation.






Experiment No. 9
Object
Measurement of strain produced by a force on the wires using Strain Gauge
Objectives
Measure weight by using Strain gauge.

Theory
The strain gauge is the most common device for the electrical measurement of static deformation. They rely on a proportional linear variance of resistance (ΔR) due to variance in gauge length (ΔL) along its longitudinal axis referred to as Gauge Facture (GF) and is typically no greater than 2. Gage Factor is expressed in equation form as:
A strain gauge is made of a continuous electrical conductor (bonded metallic or foil) called the grid, deposited on a very thin flexible insulating material carrier figure 1.
GF = (ΔR/R)/ (ΔL/ L)

Figure.1
Typical gauge resistance (unstrained) is 120, 350, 600 and 700 ohms. But if attached to an object such as a metal beam, and if the beam is under strain, that is, if a load is applied to the beam, the beam will deform (bend, elongate or compress) carrying with it the gauge. We define Strain (ε) as a deformation per unit length. Figure 2 shows a beam under load with attached gauge. In this case, the top surface of the beam and the attached gauge is in tension and has become elongate increasing the resistance of the gauge.


                                                          Figure.2
Apparatus 

S.No.
Apparatus
Range
Type
Quantity
1
Strain gauge kit
1
2
Connecting Wires
2.5sq.mm.
Copper
Few

Procedure

1)      Make connection of different wire to DPM.
2)      At zero weight DPM must show Zero. 
3)      Put 1KG weight in pan and observe output of DPM if not make by adjusting pot P3.
4)      Take reading of different weight like 1kg, 1.5kg, 1.7kg, 1.9kg observe DPM reading.

Observation Table

Sr.No.
Observed wt in Kg
Output of DPM  in Kg
Calculation in Kg


















           
Conclusion
Thus we measure strain produced by a force on the wires using Strain Gauge.

Questions
1.      Describe instrumentation setup for measurement of temperature using strain.
2.      What is strain gauge?
3.      What are the types of strain gauges?



































Experiment No. 10
Object
To measure temperature using RTD (Resistance Temperature Detector).

Objectives
Measure temperature by using RTD.

Theory

Resistance temperature detector (RTD) is another temperature sensing transducer which can be used to measure high temperatures’ basic physical property of a metal is that its electrical resistivity changes with temperature. All RTD's are based on this principle. The heart of the RTD is the resistance element. RTD has a positive coefficient, i.e, when the temperature of the RTD increases, its resistance also increases. Several varieties of semi-supported wire-wound fully supported bifilar wound glass, and thin film type elements.


Apparatus

Sr.No.
Apparatus
Range
Type
Quantity
1
RTD Kit
2
Connecting Wires
2.5sq.mm.
Copper
Few

Procedure
1)      Keep switch SW2 in position marked “TEMP”.
2)      Connect a precision resistance of 100 ohm
3)      Adjust the pot P2 (MIN) to read 0.0 on DPM with pot P1(MAX) in most clock wise position. This actions simulates ice bath temperature since at 0 c PT 100 exhibits 100 ohm resistance.
4)      Now connect a precision resistance of 139 ohm across the input terminals .Adjust pot P1 (MAX) to read 100.0 on DPM without disturbing pot P1 (MIN).This action simulates boiling point temperature of water i.e. 100 c.
5)      Now connect RTD across input terminals and measure the unknown temperature.
6)      Use heater and water bath to create temperatures higher than the room temperature and tabulate the results in observation table .also note the temperature of the hot water by using a mercury thermometer.

Precaution
1)      Handle the RTD carefully.
2)      Ensure that the RTD is not dropped on the flow.

Observation Table                                                                                                                           

Sr. No.
Temperature of Thermometer
Temperature of DPM
1


2


3


4


5


6




Conclusion
1)      RTD exhibits a linear characteristic almost over the entire operating region.
2)   The temperature measurement with RTD falls in 2% accuracy.

Questions
1.      Explain the working of RTD.

2.      What are the applications of RTD?

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