MILWAUKEE SCHOOL OF ENGINEERING LABORATORY SESSION 5 MAGNETIZATION CURVE OF A DC GENERATOR
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1 ILWUKEE SCHL F ENGINEEING LBTY SESSIN 5 GNETIZTIN CUE F DC GENET CUTIN: High voltages are present in this Laboratory Experiment! Do not make any connections with the power on! The power must be turned o beore the circuit is modiied. PUPSE The objectives o this experiment are to measure the parameters o the machine model and to obtain the dc machine magnetization curve. DISCUSSIN The dc machine, as a generator was the irst device used to provide a signiicant amount o electrical energy. They are widely used in vehicles that have electric storage batteries. However, most direct current generators are being increasingly replaced by solid-state devices, which convert available ac to direct current or dc drive systems and other dc applications. The dc motor was also the irst electrical device to provide rotating mechanical energy. Because o the ease with which their speed can be controlled, dc motors are oten used in applications requiring a wide range o motor speeds such as paper and steel industries. There is no real dierence between a generator and a motor except or the direction o the power low. In the dc machine, the ield winding is placed on the stator and the armature on the rotor. The ield windings are wound around the poles o the stator and are supplied with dc current, which produces the main magnetic ield o the machine. The armature windings are placed in the rotor slots, which are uniormly distributed around the rotor s periphery. oltage induced in the armature winding is alternating. mechanical commutator and a brush assembly unction as a rectiier or inverter, making the armature terminal voltage unidirectional. The commutator is essentially a mechanical switch that is arranged to short out and then reverse the current direction in each coil o the armature winding consecutively. The ield current in a generator produces an mm, which results in the ield lux in accordance with the magnetization curve. When the machine is driven by a prime mover an em is induced in the armature. The generated em in the armature winding is proportional to the ield lux times the speed ( Ea φn). The magnetization curve o a generator shows the relation between the ield current and the armature terminal voltage on open circuit. The curve is drawn with induced armature voltage on the y-axis and ield current on the x-axis. The magnetization curve 5.1
2 ILWUKEE SCHL F ENGINEEING is o great importance because it represents the saturation o the magnetic circuit o the dc machine. DC generators are classiied according to the manner in which their ield lux is produced. These include separately excited generator, where the lux is derived rom a separate dc source. When certain conditions are ulilled, the generator own armature circuit may be employed as a source o ield excitation. These machines are reerred to as sel-excited shunt generator, series generator and compounded generator. The irst condition or sel-excitation is that there must be some residual magnetism in the poles o the generators. In a shunt generator, the voltage generated by this residual lux produces a ield current given by I =. I the lux produced by this current is aiding the residual lux, it will result in the voltage buildup. The voltage will build up to a value given by the intersection o the ield resistance line and the magnetization curve. t some resistance value, the resistance line is almost coincident with the linear crit portion o the magnetization curve. This coincidence condition results in an unstable voltage situation. This resistance is known as the critical ield resistance. Thus, or voltage buildup the other requirements are: the ield winding must be connected in such a way that its mm would be aiding the residual magnetism; also, or a given speed the ield circuit resistance must be less than the critical ield circuit resistance. PCEDUE 1. easurement o achine Constants Using the D as an ohmmeter, measure the resistance o the armature, the series ield and the shunt ield o the dc generator (dynamometer). rmature resistance, Series ield resistance, Shunt ield resistance, = a = s = The resistance as measured between the armature terminals is composed o two distinct components. ne component is the resistance o the copper winding, and the other is the combined resistance o the carbon brushes and the brush contact. The latter component is not constant and varies approximately inversely as the armature current. 2. otor and Generator Connection and peration 3-phase ac motor is used to drive the dc generator (dynamometer) at constant speed. Connect the ac motor to the 3-phase 208 supply through a manual ac starter as shown. Separately excite the dc generator by connecting the dc shunt ield through a dc ammeter and two rheostats (use two ield rheostat in series) and a pushbutton switch to the 120 dc source. 5.2
3 ILWUKEE SCHL F ENGINEEING SHUNT DC Generator 3 φ C otor T D I E B STT STP Two Field heostat in Series STT STP DC NLY Figure 5.1 c motor and dc generator connections 120 DC 208 3φ Turn on the ac power and start the ac motor (do not turn on the dc power). The dc generator is now running with shunt ield unexcited. bserve and record the ollowing: Table I (a) Direction o otation (Looking towards the dynamometer rom the motor end o the bench) Speed P Polarity o oltage oltage, olt Stop the motor and interchange any two phases connected to the ac motor. Start the ac motor and with the dc power o observe and record the ollowing: Table I(b) Direction o otation (Looking towards the dynamometer rom the motor end o the bench) Speed P Polarity o oltage oltage, olt Stop the motor. 5.3
4 ILWUKEE SCHL F ENGINEEING 3. agnetization Curve and Hysteresis Eect econnect the ac motor as per original diagram. Start the ac motor. Turn dc power on and check that the direction o rotation is correct and all meters read upscale. I necessary to minimize, eliminate or reverse the eect o residual magnetism, with the dc power o, reverse the shunt ield terminal connections and turn the 120 DC power supply on and o once quickly. With the shunt ield terminal connection back to its proper color-coded connections and with the dc power o ( I = 0) measure and record the generated voltage. With both rheostats set at maximum resistance turn the dc power on. ecord the generated voltage and the ield current as the ield current is increased monotonically rom minimum to maximum. Then take data, as ield current is monotonically decreased. Table 2. Data or dc generator magnetization curve Increasing ield current Decreasing ield current Field current I, Generated voltage E, olts Field current I, Generated voltage E, olts 0 Turn all power o. Use the PC or your Laptop to plot the magnetization curve. See the instruction in ppendix
5 ILWUKEE SCHL F ENGINEEING 4. Properties o Sel -Excited Shunt Generator Disconnect the dc motor shunt ield rom the power supply and connect it to the armature terminals as shown in Figure 5.2. Field heostat SHUNT DC Generator 3 φ C otor T D I E B STT STP Figure 5.2 Circuit or studying the building up o the voltage o a shunt generator φ Start the motor. Check that the dc voltmeter is reading upscale and can be adjusted to 100 volts. I not, correct circuit beore proceeding. a. Set the ield rheostat or minimum resistance and record the voltage and polarity o the armature voltage in the Table III. epeat the test or the ollowing changes and observe whether the machine does or does not build up in each case. CUTIN: TUN FF PWE BEFE KING NY CHNGES b. everse the shunt ield connections to the armature. c. econnect the shunt ield as per original circuit, but reverse the direction o rotation by interchanging the two phases o the ac motor terminals. d. everse both the shunt ield and direction o rotation. 5.5
6 ILWUKEE SCHL F ENGINEEING Table III Field connections and direction o rotation a. Circuit with color code b. Field connections reversed c. Direction o rotation reversed d. Both ield connections and rotation reversed Turn the power o. 5. Critical Field esistance Direction o rotation oltage, Polarity Build-up to rated value Y/N econnect the dc generator shunt ield and the ac motor terminals with their proper color codes as in Figure 5.2. Set the ield rheostat at its maximum value and start the motor. Gradually decrease the ield rheostat to the point that you can just observe a voltage buildup beyond the residual value. Stop the motor, disconnect the shunt ield rom the armature and measure the ield circuit resistance (including the rheostat). = crit EPT EQUIEENTS 1. Comment on the relative values o the armature, series ield and the shunt ield resistances. 2. With the dc ield excitation o, explain the reason or the small generated-voltage as measured in part Plot the magnetization curves or increasing and decreasing o ield current (See the ppendix). Discuss the theoretical basis or the shape o the magnetization curve and explain the dierence between the two curves. 4. Draw a straight line through origin approximately tangent to the magnetization curve (increasing curve). Determine its slope. What does this value represent? Compare it to the value measured in part Comment on the results o part 4 and enumerate the necessary conditions or the dc shunt generator to build up. 5.6
7 ILWUKEE SCHL F ENGINEEING ppendix In TLB, rom File/New/-File, open the TLB Editor and type the ollowing commands and save with a ile name having extension m. This program can be used to plot dc generator magnetization curves or increasing and decreasing ield current. The unctions polyit and polyval are used or curve itting. Enter the recorded values o I and E inside the ollowing brackets, as an array or increasing and decreasing iled current recorded in Table II. un the program to obtain the plot. I necessary change the polynomial order n until you are satisied with the results. I1=[ ]; % Enter increasing ield current data as a row array E1 =[ ]; % Enter corresponding E data or increasing I1 I2=[ ]; % Enter decreasing ield current data as a row array E2 =[ ]; % Enter corresponding E data or decreasing I n= 2; % n is polynomial order, i necessary change n to % 3rd or higher to obtain a satisactory curve c1=polyit(i1, E1,n); % eturns poly coe. or increasing I1 c2=polyit(i2, E2,n); % eturns poly coe. or decreasing I2 E1it=polyval(c1, I1); % Evaluates poly values or array I1 E2it=polyval(c2, I2); % Evaluates polyn values or array I2 plot(i1,e1,'xr', I2,E2,'ob', I1,E1it,'r', I2, E2it,'b' ) title('dc Generator agnetization curve') xlabel('i_, mps'), ylabel('e, olts') legend('increasing I_', 'Decreasing I_', 4) 5.7
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