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SREE SAKTHI ENGINNERING COLLEGE899/1, BETTATHAPURAM, KARAMADAI, COIMBATORE – 641 104

(Approved by AICTE, New Delhi, affiliated to Anna University, Chennai)



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DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING

LABORATORY MANUALEE6361 / ELECTRONICS LABORATORY

(III- SEMESTER EEE)

PREPARED BY, APPROVED BY,

K.Karthiha,A.Umaamaheswari,

Assistant professor, HOD,

EEE. EEE.

SREE SAKTHI ENGINNERING COLLEGE

899/1, BETTATHAPURAM, KARAMADAI, COIMBATORE – 641 104

(Approved by AICTE, New Delhi, affiliated to Anna University, Chennai)

DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING

EE6211-ELECTRICAL CIRCUITS LABORATORY

LAB MANUAL

Name: _________________________________________________

Year/Sem: ________________ RollNo : _______________

Dept.: ________________ Register No: _______________

REGULATION R-2013

EE6211 - ELECTRICAL CIRCUITS LAB

LIST OF EXPERIMENTS (SYLLABUS)

LIST OF EXPERIMENTS

1. Experimental verification of Kirchhoff’s voltage and current laws

2. Experimental verification of network theorems (Thevenin, Norton, Superposition and maximum power transfer Theorem).

3. Study of CRO and measurement of sinusoidal voltage, frequency and power factor.

4. Experimental determination of time constant of series R-C electric circuits.

5. Experimental determination of frequency response of RLC circuits.

6. Design and Simulation of series resonance circuit.

7. Design and Simulation of parallel resonant circuits.

8. Simulation of low pass and high pass passive filters.

9. Simulation of three phases balanced and unbalanced star, delta networks circuits.

10.Experimental determination of power in three phase circuits by two-watt meter method.

11.Calibration of single phase energy meter.

12.Determination of two port network parameters.

INDEX

S.NO DATE NAME OF EXPERIMENT Page Marks SignatureNo

1 Verification of kirchoff’s law.

2 Verification of Thevenin’s and Norton theorem.

3 Verification of superposition theorem.

4 Maximum power transfer theorem.

5 Transient Response of RC Circuits for DC input

6Frequency response of series & Parallelresonance circuit.

7Design and Simulation of series resonance

Circuit

8Design and Simulation of parallel resonantcircuits

9Simulation of low pass and high pass passive

filters

10Simulation of three phases balanced and

unbalanced star, delta networks circuits.

11Experimental determination of power in threephase circuits by two-watt meter method

12 Calibration of single phase energy meter.

13 Determination of two port network parameters

14Study of CRO and measurement of sinusoidal

voltage, frequency and power factor

RC – Transients:-

V

S. No. T(ms) V (t) Amps.

1

2

3

4

5

Ex No. : 05

Date:

TRANSIENT RESPONSE OF RL AND RC CIRCUITS FOR DC INPUT

AIM:

To obtain the transient response of RL and RC circuits for dc input

APPARATUS REQUIRED:

S. No. Components Type/Range Qty.

1 Regulated power supply ( 0-15 )V 2 Nos.

2 SPST (single pole – single throw switch) 1 No

3 Resistor 100 Ω 2 No

4 Capacitor 0.01 µF 1 No

5 Stop watch 1 No

6 DPST 1 No

THEORY:Electrical devices are controlled by switches which are closed to connect supply

to the device, or opened in order to disconnect the supply to the device. The

switching operation will change the current and voltage in the device. The purely

resistive devices will allow instantaneous change in current and voltage.

An inductive device will not allow sudden change in current and capacitance

device will not allow sudden change in voltage. Hence when switching operation is

performed in inductive and capacitive devices, the current & voltage in device will

take a certain time to change from pre switching value to steady state value after

switching. This phenomenon is known as transient.

The study of switching condition in the circuit is called transient analysis. The state of the

circuit from instant of switching to attainment of steady state is called transient state. The

time duration from the instant of switching till the steady state is called transient period. The

current & voltage of circuit elements during transient period is called transient response.

PROCEDURE:

1. Charge on capacitor is ‘o’ initially.

2.If there is a charge in it, short circuit the terminal then the charge will be dissipated.

3. Close the switch at t = 0

4. Simultaneously switch on the stop watch.

5.For every 2 seconds note down the voltage across capacitor until

Voltmeter reaches 5 V.After reaching 15V allow 10 sec. for it.

THEORETICAL VERIFICATION:

R-L Circuit:

V. = Ri + L di

dt

15= R I(S) + L S I(s)

S

R-C Circuit;

V. = Ri + 1 15 = I (s) 10 8Idt 100

C S s

THEORETICAL CALCULATION:

RESULT:

Thus, the transient response of RC circuits for dc input wasobtained.

CIRCUIT DIAGRAM

250mH 1 F

FG ~ (0-30) MHz 1k CRO

TABULAR COLUMN:- Input voltage, V = …………..Vin

Sl.No Frequency (Hz) Voltage (Vo)

Voltage Gain

= 20 log V /Vin0

Ex No. : 06

Date:

FREQUENCY RESPONSE OF SERIES AND PARALLEL RESONANCECIRCUITS

(a) FREQUENCY RESPONSE OF SERIES RLC CIRCUIT

AIM

To determine and obtain the frequency response of a series RLC circuit

APPARATUS REQUIRED

Sl. No Name of the apparatus Range Type Quantity

1 Decade Resistance Box 1 kΩ - 1

2 Decade Inductance Box 250 mH - 1

3 Decade Capacitance Box 1 μF - 1

4 Function Generator (0 - 3) MHz - 1

5 C.R.O. - Analog 1

6 Bread Board - - 1

7 Connecting wires - - Required

THEORY

An A.C. circuit is said to be in resonance with its power factor becomes unity at which the impedance of circuit becomes purely resistive. The frequency at which such condition occurs is called resonant frequency. At resonance the circuit current is maximum for series resonant.

FORMULAE

Resonant frequency, F0 = 1 / [2π √LC]

Band width = F2 – F1

Quality factor = W0 L / R Where, F0 – Resonant frequency

Model graph:

F1 – Lower cut off frequency in Hz

F2 – Upper cut off frequency in Hz

PROCEDURE:

1. Make the connections as per the circuit diagram

2. Set the values of R, L & C

3. Frequency varied from 1kHz to 100 kHz in steps

4. At each step the frequency and voltage is noted down

5. Graph is drawn between frequency along X – axis and voltage along Y – axis

RESULT:

Thus the frequency response of series resonant circuit was obtained

CIRCUIT DIAGRAM

1

FG~ (0-30)MHz

250mH 1k

TABULAR COLUMN: - Input voltage, V = …………..Vin

Voltage GainSl.No Frequency (Hz) Voltage (Vo)

= 20 log V /Vin0

(B) FREQUENCY RESPONSE OF PARALLEL RLC CIRCUIT

AIM

To determine and obtain the frequency response of parallel R L C circuit

APPARATUS REQUIRED

Sl.Name of the apparatus Range Type Quantity

No

1 Decade Resistance Box 1 kΩ - 1

2 Decade Inductance Box 250 mH - 1

3 Decade Capacitance Box 2 μF - 1

4 Function Generator (0 - 3) MHz - 1

5 C.R.O. - Analog 1

6 Bread Board - - 1

7 Connecting wires - - Required

THEORY

An A.C. circuit is said to be in resonance when its power factor becomes unity. The impedance of circuit at resonance becomes purely resistive. The frequency at which such a condition occurs is called resonant frequency.

The impedance is given by Z = R + j (XL - XC)

When the impedance is real, the | Z | is minimum. At resonance the power factor is unity

Therefore, Z = R and reactive part is zero. Thus XL - XC = 0

ω0 = 1 / √LC

f0 = 1 / 2π √LC

MODEL GRAPH:


FORMULAE USED:

Resonant frequency, f0 = 1 / 2π √LC

Band width = F2 – F1

Quality factor = ω0L / R

Where,

f0 – Resonant frequency in Hz

F1 – Lower cut off frequency in Hz

F2 – Upper cut off frequency in Hz

PROCEDURE

1. Make the connections as per the circuit diagram

2. Set the values of R, L & C

3. Frequency varied from 1kHz to 100 kHz in steps

4. At each step the frequency and voltage is noted down

5.Graph is drawn between frequency along X – axis and voltage along Y – axis

RESULT

The frequency response of a parallel R.L.C. circuit was obtained.

SIMULATION DIAGRAM

EXP.NO: 07

DATE:

DESIGN AND SIMULATION OF SERIES RESONANCE CIRCUIT

AIM

To design and simulation of series resonance circuit using Pspice and Matlab

SOFTWARE REQUIRED

Orcad-

Pspice

Matlab

PROCEDURE

Pspice

1. Build the schematic shown in Figure 1.

2. Vm is an AC voltage source (VAC) from the source library. It needs to be set for 1 volt.

3. L1 is an ideal inductor from the Analog Library. Set for 1000mH.

4. R is an ideal resistor from the Analog Library. Set value to Rx. Next add part

named“Parameters”. Then double click on part to enter edit mode. Click on new

column, name = Rx, value = 200. Then click on column, select display and click on

name and value.

5. C1 is an ideal capacitor from the Analog library. Change the value to 40pF.

PSPICE SIMULATION PROFILE SETTINGS

1. Do analysis setup

a. At top of screen click on Pspice

b. Click on New Simulations Profile

c. Type name of profile that you wish.

d. Under Analysis tab, select AC sweep from the Analysis type pull down menu.

e. Under AC Sweep Type

Fig. a

Fig.b

Fig.(a)&(b) Result of input impedance of series RLC tank circuit

2. Select Logarithmic and Decade as shown.

i. Start freq = 100

ii. End freq = 10Meg

iii. Points/Decade = 101

f. Then click the run Pspice button. (Looks like a play button)

g. After running, look at schematic file and click on trace, add trace.

h. Next Select Db () on left, select M () on left, select V (Vm:+), then divide by M(I(Vm)).

3. Use the same circuit as above, and from the Pspice button, Markers, Advanced, select “db

magnitude of current marker” and “Phase of Current marker”, and place in series next to L1.

Fig. Simulation Profile Settings

Fig. Series Resonance Circuit

MATLAB

Input impedance of series RLC tank circuit

disp('starting the function of Zinput_seriesRLC1'); %define all the component values and units for Tank Vm=1; %voltsR=200; %ohms C=40e-12; %Farads L=1000e-6; %Henrys

%define the input impedance Zin_numb=[L*C R*C 1]; Zin_de=[0 C 0]; Zinput=tf(Zin_numb,Zin_de) figure(1)bode(Zinput)title('Input impedance of series RLC tank circuit') %calculating important parameters of the tank [z,p,k]=zpkdata(Zinput,'v');wo=sqrt(1/L/C)Beta=R/LQ=wo/Betadisp(' finished the function of Zinput_seriesRLC1');

Result

Thus the series resonance circuit was designed and simulated using Pspice and Matlab

Pspice Simulation Diagram of Parallel Resonant Circuit

Output

EXP.NO:08

DATE:

DESIGN AND SIMULATION OF PARALLEL RESONANCE CIRCUIT

AIM

To design and simulation of parallel resonance circuit using OrCAD - Pspice and Matlab

SOFTWARE REQUIRED

Orcad-Pspice

PROCEDURE

Pspice

1. Build the schematic shown in Figure 1. 2. Apply the IAC, because we want to plot the frequency response 3. Set ACMAG =0.001 in IAC 4. L1 is an ideal inductor from the Analog Library. Set for 1H.5. R is an ideal resistor from the Analog Library. Set value to Rx. Next add part

named“Parameters”. Then double click on part to enter edit mode. Click on new column, name = Rx, value = 200. Then click on column, select display and click on name and value.

6. C1 is an ideal capacitor from the Analog library. Change the value to 100nF.


1. Do analysis setup a.On the ORCAD Capture CISÒ menu select new simulation profile b.Choose AC Sweep/Noise in the Analysis type menu c. Set the Start Frequency at 100, the End Frequency at 10Meg and the Points/Decade at 101 d.Make sure Logarithmic is selected and set to Decade e.Click OK

2.Use the same circuit as above and place the “db magnitude of voltage marker” and the “phase of voltage marker” in series next to output capacitor.

MATLAB

Input impedance of Parallel RLC tank circuit

function[Zinput]=Zinput_parallelRLC1()

disp ('Starting the function of Zinput_seriesRLC1'); Im =0.0001;R=20000;C=100e-09; L=0.1;

Zinductor=tf([L 0],[0,1]); Zcapacitor=tf([0 1], [C 0]); Zinput=1/(1/R+1/Zcapacitor+1/Zinductor) figure(1)bode (Zinput)title ('Input impedance of parallel RLC tank circuit')

[z,p,k]=zpkdata(Zinput,'v'); w0=sqrt(1/L/C) Beta=1/R/C

Q=w0/Beta

disp ('finished the function of Zinput_seriesRLC1');

Result

Thus the parallel resonance circuit was designed and simulated using Pspice and Matlab

Fig.1.a.Circuit diagram

Fig.1.b.Output for above circuit

Fig.1.Low Pass Passive Filter

EXP.NO:9

DATE:

SIMULATION OF LOW PASS AND HIGH PASS PASSIVE FILTERS

AIM

To design and simulation of low pass and high passive filter using P-spice

SOFTWARE REQUIRED

Orcad Pspice

PROCEDURE

(a) Low Pass Passive Filter

Pspice

1. Build the schematic shown in Figure 1. 2. Apply the VAC, set VAC to 1. 3. R is an ideal resistor from the Analog Library. Set value to 1k4. C is an ideal capacitor from the Analog library. Change the value to 0.1u.

This is a classical low pass filter with RC cut off frequency (-3db) that can be estimated by the

formula fc= (6.28*R*C), and in our case fc=1 / (6.28*0.1*1k)=1.59khz, where we express the capacitances in uF, resistance in kohm and frequency in kHz


1. Do analysis setup a.On the ORCAD Capture CISÒ menu select new simulation profile b.Choose AC Sweep/Noise in the Analysis type menu c. Set the Start Frequency at 10, the End Frequency at 1Meg and the Points/Decade at 10 d.Make sure Logarithmic is selected and set to Decade e.Click OK

2. Use the same circuit as above and place the “voltage marker” and the “db of voltage marker”

Fig.2.a.Circuit diagram

Fig.2.b.Output for above circuit

Fig2 .High Pass Passive Filter

High Pass Passive Filter

Pspice

1. Build the schematic shown in Figure 1. 2. Apply the VAC, set VAC to 1. 3. R is an ideal resistor from the Analog Library. Set value to 1k4. C is an ideal capacitor from the Analog library. Change the value to 0.1u.

This is a classical low pass filter with RC cut off frequency (-3db) that can be estimated by the formula fc= (6.28*R*C), and in our case fc=1 / (6.28*0.1*1k)=1.59khz, where we express the capacitances in uF, resistance in kohm and frequency in kHz

Result

Thus the passive low pass and high pass filter was designed and simulated using Pspice.

Fig. Three-Phase Circuits with Line and Load Impedances

Fig. Pspice circuit for Three-Phase Circuits with Line and Load Impedances

EXP.NO:10

DATE:

SIMULATION OF THREE PHASES BALANCED AND UNBALANCED STAR, DELTANETWORKS CIRCUITS

AIM

To build, simulate, and analyze three-phase circuits using OrCAD Capture Pspice Schematics under balanced and unbalanced conditions, and to understand the characteristic of 3-phase power transmission circuits

SOFTWARE REQUIRED

Orcad Pspice

Problem:

1 .In Fig, let’s assume that the three-phase circuits are balanced and each has a magnitude (peak value)

of 170 V at 60Hz in the positive sequence with Va = 170 V 00 . The line impedance is (1 + j10) Ω, and the

load is (20 + j20). Find: a) the line currents (Ia, Ib, Ic) and the neutral current (In) in peak values b) the

power loss in each line, including the neutral c) the power factor for each phase of the load

2. Repeat problem for given figure, but let’s now assume that the three-phase circuits are unbalanced and

operating in the positive sequence with Va = 170 V 00 . Use the same line impedance, but the load is now

(20 + j20) Ω for phase A, (50 + j10) Ω for phase B, and (5 + j50) for phase c.

Procedure

1. Three-Phase Balanced Circuits

a. Build the three-phase circuits of Figure 1 onto the Schematic window

b. To get parts, click button on the right hand side menu. Alternatively, you could also get parts

by going to the top menu, click on Place, and then select “Part”.

c. If no library is shown on the Place Part window, then you will have to manually add the library

by clicking the “Add Library” button. Look for a library called “Source” and click on it. The

“SOURCE” library should now be listed on the “Place Part” window.

d. The three-phase voltages are made up of three ac sinusoidal single-phase voltage sources

“Vsin” under the “SOURCE” library to build the three-phase voltages. Once the Vsin part is on

the schematic, double click on it to assign its parameter values:

Simulation setting window

AC=0 DC=0 FREQ=60 PHASE=0 VAMPL=170 VOFF=0Note that the other two Vsin voltages should have the same parameter values as above except their phases

(for V2 and V3) should be -1200 and + 1200, respectively (assuming the phase sequence is positive).

e. Passive components such as Resistor, Inductor, or Capacitor can be found under the “ANALOG”

library. For the given impedances in the problem 1, determine the resistor and inductor values.

These are the values that you will need to assign for the Resistors and Inductors on the schematic.

f. Connect a “0/ source” ground to the neutral points (node n and N in Figure 1). The ground can

be obtained by clicking on the right side bar menu, and then select “0 /SOURCE” in the “Place

Ground” window as shown in Figure.

g. After the schematic is done, go to “Pspice” on the top menu, and select “New Simulation Profile”. A

window appears asking you to name the simulation profile. Type in any name, but preferably something

that relates to your schematic, such as “three-phase”. Then, hit OK and the following window appears.

j. Enter the following values for the simulation settings and then hit OK: Run to time=1050ms,

Start saving data after=1000ms, Maximum step size=0.1ms Check the box for the “Skip the

initial transient bias point calculation (SKIPBP)”

k. Run Pspice Simulation by selecting “Run” under “Pspice” on the menu. Once the simulation is

completed, a Probe window will appear as shown in Figure. However, if there is an error or more

on your schematic then the simulation will stop. You should then go back to the schematic page

and trouble-shoot the schematic.

l. To show various waveforms (voltage, current, power) from the schematic, go back to the

schematic window and then place the markers or probes to any place of your interest on the

schematic. The probes are located just below the top menu and there are four probes available:

voltage (V) , voltage differential (V+V-) , current (I) and power (W). Note that you should run your

simulation again every time you add or remove probes.

m. To observe the input voltage waveforms, place the Voltage markers on top of each Vsin symbol on

your schematic. This will automatically generate the waveforms on the Probe window. Switch to the Probe

window and you should see the waveforms of balanced three-phase voltages as shown in Figure

n. Remove voltage probes for Phase B and Phase C from the schematic, and add a current probe into Phase

A.

Three Phase Voltage waveform

Voltage and current probes or markers on Phase A

o. Switch back to the Probe Window, you should now see the Phase A voltage and the line

current A as shown in Figure.

p. Rescale the current waveform by a factor of 10 to see the current waveform more clearly. This

is done by double clicking the name of the current waveform (I(R1) in Figure

r. To determine the times when these zero crossings occur, you may use the cursors by clicking on

the menu. There are two cursors which are movable by the use of left click and right click of your

mouse. At this point, the two cursors should be on one of the waveforms. To find out which waveform

the cursors are currently on, look at the names of the waveforms (bottom left of the plot). If the

legend of the waveform is surrounded by a square then the cursors will be assigned to the waveform.

Also, if you look at the bottom right of the plot, you should also see a small window entitled “Probe

Cursor” which shows the location of the cursors (x and y coordinates) on the plot

s. The “Probe Cursor” window consists of 3 rows and 2 columns. The first column shows the time in

ms and the second column show the voltage in Volts and/or current in Amps. The third row shows

the difference between the two x-points (row 3 column 1) and the two y points (row 3 column 2). See

Figure again. t. Use the right click of your mouse to move one cursor to find the zero crossing of the

voltage as shown in Figure. Use the left hand click to measure the zero crossing of the current. Note

that you won’t be able to get exactly 0 for the y points, so do the best you can to get a number close

to 0. Ask your instructor to verify your result and then print it out.

u. From the zero crossing values that you just obtained, measure the power factor as seen by

the source, i.e., power factor associated with the total impedance of he load and the line. Is it a

lagging or leading power factor?

v. “Zoom to fit” the plot by clicking on the upper right corner of the plot. Delete both waveforms

from the plot, and plot the neutral current by placing the current probe on the neutral line on the

schematic. Observe the value of the neutral current.

w. Delete the neutral current waveform from the plot, and, instead, add the load voltage from phase

A to the plot. Switch to the Probe Window and you should see the load voltage waveform on the plot.

Voltage and current after rescaling the current waveform

Figure. Zooming in to the zero crossing points

2. Three-Phase Unbalanced Circuits

a. Build a three-phase unbalanced circuit using the same three-phase schematic of part 1.

Change the load impedance to the values listed in Problem 2.

b. Run the simulation and obtain the load voltage waveforms into a single plot. Copy and paste into

Word. Note that because the circuit is unbalanced, the voltage at the load side of the neutral line is

not the same as the voltage at its source side, i.e. at ground level. Hence, to obtain the load voltage

waveform, you have to use the “Differential Voltage” probe or marker from the menu. With this probe,

you will have to place two markers (since it will be measuring a differential voltage): V+ marker and

V- marker. Place the V+ marker with the first click of your mouse

to the top terminal of load resistor R1a and place the V- marker on the bottom terminal of load inductor L1a.

c. Delete the load voltage waveforms and obtain the input voltage waveforms (i.e., the three

phase voltages at the source side) into a single plot. Copy and paste into Word.

d. Remove the input voltage waveforms and now plot the current waveforms (all line currents

and neutral current) into a single plot. Rescale any current waveform if necessary to make all

waveforms visible on the plot. Copy and paste into Word.

e. Determine the power factor for each phase of the load by measuring the phase difference

between the voltage across and the current through it. Note that the phase difference between

the voltage across and the current through each of the three load phases should be equal

(theoretically) to the angle of the corresponding load impedance.

ResultThus the three phase circuits (balanced or unbalanced, star or delta) are designed and analyzedusing Orcad Pspice software.

CIRCUIT DIAGRAM

THREE PHASE POWER AND POWER FACTOR MEASUREMENT

EXP. NO. 11

DATE:

MEASUREMENT OF THREE PHASE POWER AND POWER FACTOR

AIM

To conduct a suitable experiment on a 3-phase load connected in star or delta to measure the three phase power and power factor using 2 wattmeter method.

OBJECTIVES

1. To study the working of wattmeter

2. To accurately measure the 3 phase power

3. To accurately measure the power factor

4. To study the concept of star connected load and delta connected load

APPARATUS REQUIRED:

S.NO NAME OF THE APPRATUS RANGE QUANTITY1 Two element wattmeter (600V,10A,LPF) 1

2 MI Ammeter (0-10)A 1

3. MI voltmeter (0-600)V 1

4. Power Factor meter 1

5. Connecting wires Required

FORMULA TO BE USED:

Output power W = W1+W2 in KW PF = W/ (√ VpIp)

Let x revolution / kWh be the

rating. Now x revolution = 1 kWh

= 1* 3600*1000 watt-sec.

Constant k of energy meter = 3600 * 103/ x watt-sec

For each load, indicated power Wi is given as Wi = k/t watts

TABULAR COLUMN:

S.NO LOAD CURRENT WATTMETER INDICATED Time taken % ERROR

I (Amps) READING, POWER,,

t (secs)Wa (W) Wi (W)

NOTE:

From the calibration curve it is possible to predict the error in recording the energy. So the correction can be applied to the energy meter reading so that correct energy reading can be obtained and used.

Where

K= energy meter constant (watt-sec)

t = time for 1 revolution (sec)

% error = Wi – Wa / Wi * 100 Where

Wi is indicated power in watts

Wa is actual power shown by wattmeter in watts

% Error can be zero +ve or –ve.

PROCEDURE:

1. Switch ON the 3 phase MCB.

2. Vary the load step by step.

3. For each step note down the wattmeter, voltmeter, ammeter readings.

4. Determine the power using the formula.

RESULT:

The Power and Power factor of the given experiment is measured by using two wattmeter methods.

CIRCUIT DIAGRAM

SINGLE PHASE ENERGY METER

TABULAR COLUMN:

Sl.No True power KW No of Time True energy Energy % errorrevolution kWh recorded

kWh

EXPT. NO.12

DATE:

CALIBRATION OF SINGLE PHASE ENERGYMETER

AIM:

To calibrate the given single phase energy meter at unity and other power factors

OBJECTIVE:

1.To study the working of energy meter.

2.To accurately calibrate the meter at unity and other power factor.

3.To study the % of error for the given energy meter.

APPARATUS REQUIRED:

S.NO NAME OF THE APPRATUS RANGE QUANTITY1 Single-Phase Energy meter 1

2 Wattmeter (300V,10A LPF) 1

3. Stopwatch 1

4. M.I Ammeter (0-5)A 1

5. M.I Voltmeter (0-300)V 1

6. Connecting wires Required

FORMULA TO BE USED:

1. True energy = W*t

2. Energy Recorded = No of revolution /Energy meter constant.

3. %error = (True energy- Energy recorded)/True energy

CONNECTION PROCEDURE:

1. Connect the main supply to the MCB input.

2. Connect voltmeter, Ammeter, in series and parallel with supply.

3. Connect MCB output phase terminal to main M terminal of wattmeter.

4. Connect Line L signal of wattmeter to energy meter 1S terminal.

5. Connect voltage V of wattmeter to supply neutral terminal.

6. Connect main supply neutral to 2S terminal of Energy meter.

7. Connect 2L, 1L terminal of Energy meter to RL load terminal L1, L2.

EXPERIMENTAL PROCEDURE:

1. Connections are given as per the circuit diagrams.

2. Switch on the power supply.

3. Vary the load and keep one particular position.

4. Note down the wattmeter readings.

5. Determine the time require to complete the revolution of energy meter.

6. From that find out the actual energy consumed, energy recorded and percentage of error.

THEORY

RESULT:

Thus the given single phase energy meter is calibrated with actual energy consumption and found out the error.

Circuit Diagram

EXP. NO. 13

DATE:

DETERMINATION OF TWO PORT NETWORK PARAMETERS

AIM

To calculate and verify ‘Z’, ‘Y’, ABCD, and H parameters of two-port network.

APPARATUS REQUIRED

Sl. Name of the component Specifications QuantityNo.1 Resistors 1K 2

2K 12 Regulated Power Supply (RPS) 0-30 V 13 Voltmeter 0-20V 14 Ammeter 0-20 mA 15 Decade Resistance Box (DRB) 10W-1MW 16 Bread Board 17 Multi meter 1

THEORY:In Z parameters of a two-port, the input & output voltages V1 & V2 can be expressed in terms of input & output currents I1 & I2. Out of four variables (i.e. V1, V2, I1, I2) V1& V2 are dependent variables whereas I1 & I2 are independent variables. Thus,

V1 = Z11I1+ Z12 I2 -----(1)

V2 = Z21I1 + Z22 I2 -----(2)

Here Z11 & Z22 are the input & output driving point impedances while Z12 & Z21 are thereverse & forward transfer impedances.

In Y parameters of a two-port, the input & output currents I1 & I2 can be expressed in terms of input & outputvoltages V1 &V2. Out of four variables (i.e. I1, I2, V, V2) I1& I2 are dependent variables whereas V1 & V2 areindependent variables.

I1 = Y11V1 + Y12V2 ------(3)

I2 = Y21V1 + Y22V2 -------(4)

Here Y11 & Y22 are the input & output driving point admittances while Y12 & Y21are thereverse & forward transfer admittances

OBSERVATION TABLE:

Z Parameters

Sl.NoWhen i/p is open ckt When o/p is open ckt

V2 V1 I2 V2 V1 I1

Y Parameters

Sl.NoWhen i/p is short ckt When o/p is short ckt

V2 I1 I2 V1 I1 I2

ABCD Parameters

Sl.NoWhen o/p is short ckt When i/p is short ckt

V1 I1 I2 V2 V1 I2

H Parameters

Sl.NoWhen o/p is open ckt When o/p is short ckt

V1 V2 I1 V1 I2 I1

ABCD parametersare widely used in analysis of power transmission engineering where they are termed as

“CircuitParameters”. ABCD parameters are also known as “Transmission Parameters”. In these parameters, the

voltage & current at the sending end terminals can be expressed in terms of voltage & current at the receiving end.

Thus,

V1 = AV 2 + B (-I2) ---------(5)

I1 = CV2 + D (-I2) ----------- (6)

Here “A” is called reverse voltage ratio, “B” is called transfer impedance “C” is calledtransfer admittance & “D” is called reverse current ratio.

In ‘h’ parameters of a two port network, voltage of the input port and the current of the

Output port are expressed in terms of the current of the input port and the voltage of theoutput port. Due

to this reason, these parameters are called as ‘hybrid’ parameters, i.e. outof four variables (i.e. V1, V2,

I1, I2) V1, I2 are dependent variables.

Thus,

V1= h11I1 + h12V2 ------------- (1)

I2 = h21I1 + h22V22 ----------- (2)

H11 and H22 are input impedance and output admittance.

H21 and H12 are forward current gain and reverse voltage gain

PROCEDURE:

Z-Parameter

(1)Connect the circuit as shown in fig. & switch ‘ON’ the experimental board.

(2)First open the O/P terminal & supply 5V to I/P terminal. Measure O/P Voltage & I/P Current.

(3) Secondly, open I/P terminal & supply 5V to O/P terminal. Measure I/P Voltage & O/P current using multi-meter.

(4)Calculate the values of Z parameter using Equation (1) & (2).

(5)Switch ‘OFF’ the supply after taking the readings.

SAMPLE CALCULATION:

Z PARAMETER:

(1) When O/P is open circuited i.e. I2 = 0

Z11 = V1/I1, Z21 =V2 /I1.

(2) When I/P is open circuited i.e. II = 0

Z12 = V1/I2, Z22 = V2 /I2.

Y PARAMETER:

(1) When O/P is short circuited i.e. V2 = 0

Y11 = I1/V1 Y21 = I2 /V1

(2) When I/P is short circuited i.e. VI = 0

Y12 = I1/V2 Y22 = I2 /V2.

ABCD PARAMETER:

(1)When O/P is open circuited i.e. I2 = 0

A = V1/V2 C = I1 /V2

(2)When O/P is short circuited i.e. V2 = 0

B = -V1/I2 D = -I1 /I2

H PARAMETER:

(1)When O/P is short circuited i.e. V2 = 0

h11 = V1/I1 h21 = I2 /I1

(2)When I/P is open circuited i.e. II = 0

h12 = V1/V2 h22 = I2 /V2

Y-Parameter


(2)First short the O/P terminal & supply 5V to I/P terminal. Measure O/P & I/P current

(3) Secondly, short I/P terminal & supply 5V to O/P terminal. Measure I/P& O/P current using multi-meter.

(4)Calculate the values of Y parameter using Eq. (1) & (2).

(5)Switch ‘off’ the supply after taking the readings.

ABCD Parameter

(1) Connect the circuit as shown in fig. & switch ‘ON’ the experimental board.

(2)First open the O/P terminal & supply 5V to I/P terminal. Measure O/P voltage & I/P current

(3) Secondly, short the O/P terminal & supply 5V to I/P terminal. Measure I/P& O/P current using multi-meter.

(4)Calculate the A, B, C, & D parameters using the Eq. (1) & (2).


H Parameter


(2) Short the output port and excite input port with a known voltage source Vs. So that V1 = Vs and

V2 = 0. We determine I1 and I2 to obtain h11 and h21.

(3) Input port is open circuited and output port is excited with the same voltage source Vs. So that V2 =

VS and I1 = 0, we determine I2 and V1 to obtain h12 and h22.


RESULT:

Thus the various parameters of the two port network has been calculated and verified

Fig.1.Basic structure of CRO

Fig.2. Front Panel of CRO\

EXP. NO. 14

DATE:

STUDY OF CRO AND MEASUREMENT OF SINUSOIDAL VOLTAGE, FREQUENCY AND POWERFACTOR

Objective

• To introduce the basic structure of a cathode-ray Oscilloscope.

• To get familiar with the use of different control switches of the device.

• To visualize an ac signal, measure the amplitude and the frequency

Theory

Cathode-ray Oscilloscope

Fluorescent screen (see Figure 1). When the cathode is heated (by Theory Cathode-ray Oscilloscope

applying a small potential difference across its terminals), it emits electrons. Having a potential difference

between the cathode and the anode (electrodes), accelerate the emitted electrons towards the anode,

forming an electron beam, which passes to fall on the screen. When the fast electron beam strikes the

fluorescent screen, a bright visible spot is produced. The grid, which is situated between the electrodes,

controls the amount of electrons passing through it thereby controlling the intensity of the electron beam.

The X&Y-plates, are responsible for deflecting the electron beam horizontally and vertically.

A sweep generator is connected to the X-plates, which moves the bright spot horizontally across the screen and

repeats that at a certain frequency as the source of the signal. The voltage to be studied is applied to the Y-plates. The

combined sweep and Y voltages produce a graph showing the variation of voltage with time, as shown in Fig. 2.

Alternating current (ac)

An ac signal can be of different forms: sinusoidal, square, or triangular. The sinusoidal is the most popular

type, which is the natural output of the rotary electricity generators. An ac voltage source can be represented by

(t) m sin(wt ) (1)

Where εm is the maximum output voltage value, ω =2πƒ (ƒ is the frequency), and φ is the phase shift.

Table 1

Frequency (Hz) Period (T)Sec F(Hz) Vp-p(V) Vrms(V)

200

X

1000

Y

2000

Vrms (multimeter) =

Procedure

Part one

1. Turn on the Oscilloscope, wait a couple of seconds to warm up, then the trace will show up on the screen.

2. Adjust the intensity and the focus of the trace.

3. Use the X &Y-post. Knobs to center the trace horizontally and vertically.

4. Connect a cable to Ch1 socket.

5. Turn on the Heath kit.

6. Connect the cable from Ch1 of the CRO to the SIN connector of the Heath kit, via a piece of wire.

7. A signal will appear on the screen.

8. Make sure that the inner red knobs of the Volt/Div and the Time/Div are locked clockwise.

9. Set the frequency of the generator to 200 Hz.

10. Adjust the Volt/Div and the Time/Div knobs so that you get a suitable size signal

(From 1-2 wavelengths filling most of the screen vertically).

11. Count the number of vertical squares lying within the signal, then calculate the peakto peak value as:

Vp-p= No. vertical Div x Volt/Div

12. Calculate Vrms value, record in Table I:

Vrms= Vp-p / 2.sqr root (2)

13.Measure Vrms using the multimeter (connect the probes of the multimeter

to the SIN and the GND connectors).

14.Calculate the period T, record in Table I:

T = No. horizontal Div. × Time/Div

15.Calculate the frequency, ƒ=1/T, record in the table.

16.Repeat steps 10-14 for the frequency values as in the table

Part two

1. Connect the cable from Ch1 to the upper connector of the line frequency of the Heath kit.

2. Adjust the Volt/Div and the Time/Div knobs so that you get a suitable size signal

(From 1-2 wavelengths filling most of the screen vertically).

3. Calculate the peak to peak voltage value.

4. Calculate Vrms value.

5. Measure Vrms using the multimeter.

6. Measure the period T, then calculate the frequency.

Vp-p=

Vrms=

Vrms (multimeter) =

T=

f=

Result

Thus the CRO basic structure, measurement of voltage and frequency was studied.

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