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Showing posts with label electrical machine. Show all posts
Showing posts with label electrical machine. Show all posts

Monday, 23 October 2017

TESTING POWER TRANSFORMERS:
High-voltage transformers are some of the most important (and expensive) pieces of equipment required for operating a power system. The purchase, preparation, assembly, operation and maintenance of transformers represent a large expense to the power  system.

Why testing of transformer is necessary before putting in service? 

When transformers are received from the factory or reallocated  from another location it is necessary to verify that each transformer is dry, no damage has occurred during shipping,  internal connections have not been loosened, the transformer’s ratio, polarity, and impedance agree with its nameplate, its major insulation structure is intact, wiring  insulation has not been bridged, and the transformer is ready for service.
Physical size, voltage class, and kVA rating are the major factors that dictate the amount of preparation required to put transformers in service. Size and kVA rating also dictate the kind and number of auxiliary devices a transformer will require. All of these factors affect the amount of testing necessary to certify that a transformer is ready to be
energized and placed in service.

There are a multitude of checks and tests performed as a transformer is being assembled at a substation.
Some tests and procedures may be performed by specialists during the assembly phase. Special tests, other than those listed, may also be required. Many require special equipment and expertise that construction electricians do not have and are not expected to provide. Some tests are performed by an assembly crew, while other tests are done by
the person(s) making the final electrical tests on the transformers.

 The following information is not intended to describe, or include, the details for performing the entire array of tests needed to prepare transformers for service, only the tests that may be performed by field personnel. Even though details have been limited, descriptions should allow field personnel to perform, or assist in performing, the
basic tests they may be asked to do. Procedures and tests are described somewhat generically, but apply to most transformers in one way or another. Also, the following test descriptions provide an anchor point from which to ask for help when needed.
 The following items are discussed or described:
  • Nameplate Data Power Meggering
  • Auxiliary Components and Wire Checks Lightning Arrestors
  • Hand Meggering  Temperature Devices
  • CT Tests Winding Temperature and Thermal Image
  • Bushing Power Factoring Remote Temperature Indication
  • Transformer Power Factoring  Auxiliary Power
  • Voltage Ratio  Automatic Transfer Switch
  • Polarity  Cooling System
  • Transformer-Turns Ratio  Bushing Potential Device
  • Tap Changers Auxiliary-Equipment Protection and Alarms
  • Short-Circuit Impedance  Overall Loading
  • Zero Sequence Trip Checks
  • Winding Resistance
Before proceding with transformer measurements the test engineer will become familiar with the safety rules of Section

THESE RULES MUST BE FOLLOWED FOR ALL TEST PROCEDURES.

Following is an approximate sequence for transformer testing:

1. Inspect transformer and parts for shipping damage and moisture.
2. Check nameplate and prints for proper voltages and external phasing
connection to the line or bus.
3. Check calibration of all thermal gauges and hot-spot heater, bridge RTDs and
associated alarm contacts. Contact settings should be similar to the following:
  • One stage runs all the time (forced cooling)
  • 2nd stage at 80°C
  • 3rd stage at 90°C
  • Hot-spot alarm 100°C (trip at 110°C when applicable)
  • Top-oil alarm 80°C at 55°C rise and 75°C at 65°C rise
  • OA = no fans or pumps
  • FA =fans running
  • FOA = fans and pumps running
4. Check and Megger all wiring point to point: Fans, pumps, alarms, heaters, tap
changers, and all other devices on the transformer and interconnecting cables
5. All banks above 150 MVA should be vacuum dried. Do not apply test voltages
to the winding during the vacuum drying process. Make certain the terminals
are shorted and grounded during oil circulation because of the large amount of static charge that can build up on the winding.
6. After the tank has been filled with oil, confirm that an oil sample was sent to
the Chemical Lab and that its results are entered in the bank test reports. Note
the oil level and temperature at completion of filling.
7. Power operate to verify proper rotation of pumps and fans and correct operation of the under load (UL) tap changer, when provided. Also, check heater, alarms and all other devices for proper operation. 

12. Following are the winding tests to be performed:
  • Ratio and Polarity (Voltage Method or TTR). The preference is that all large
  • Power Transformers (>1 MVA) be tested with TTR test set.
  • Impedance
  • DC winding resistance
  • Megger and Power Factor windings, bushing and arrestors. Note: Wait until 24 hours after completion of oil filling for Power Factor testing.
13. Load CT circuits overall and flash for polarity. 
14. Before energization, trip-check bank protection schemes and make sure the gas-collection relay is free of gas.
15. When energizing a bank or picking up load, monitor bank currents and voltages,
including UL tap-changer operation.
16. Check proper phasing and voltage of the bank to the system before load is
picked up. When possible, large transformers (>1 MVA) should remain
energized for eight hours before carrying load.
17. Make in-service checks on meters and relays.
18. Turn in revised prints and test reports, which should include the following:
  • All test data
  • Moisture and oil data
  • Problems incurred
  • In-service data
  • Time energized and release to operation
  • Any unusual problem that information will aid in future equipment testing

TRANSFORMER NAMEPLATE DATA and TERMINAL MARKINGS:

Collecting nameplate data is not testing, but it must be done for all equipment. This data is recorded by the person(s) performing the equipment tests. The act of recording the nameplate data also helps test personnel familiarize themselves with the unit to be tested.
For a transformer, much of the needed information can be obtained from the main nameplate.
(typical on large transformers). Bushings, fuses, fan and pump motors, lightning
arrestors, and disconnect switches will also have individual nameplates. An attempt  should be made to fill in all pertinent spaces on the data sheet.
Terminal marking of power transformers is determined by ANSI standards. Two-
winding transformers have terminals designated by H and X (e.g. H1, H2, X1,X2,)
where H is the higher voltage-rated winding and X is the lower voltage winding. As viewed from the high-voltage side, H1 bushing terminal will be located on the right. Three-or-more-winding transformers will have winding designation H, X, Y and Z, where H is the
high-voltage winding (or, the highest kVA-rated winding in case windings have the same voltage rating) and X, Y, and Z are for decreasing winding voltage ratings.

HAND MEGGERING (DC Hi-Potential Insulation Testing):

Most hand-crank Meggers have output voltages from 250 to 500 volts DC. All wiring on transformers should be Meggered at 250 or 500 VDC. Meggering transformer wiring is emphasized because of the numerous small terminal
boxes mounted on large power transformers. Conduit connecting them together can have moisture accumulation or water leaks. In addition, when wiring is pulled through the metal conduit on a transformer, occasionally the insulation is scraped down to the bare wire. Also note that any box mounted on a vertical surface should have a small drain hole drilled at the bottom in case water leaks in from a loose conduit joint. Larger boxes or cabinets usually have resistive heaters and air-vent holes covered by screens to prevent moisture accumulation.Terminal boxes mounted on horizontal surfaces must have good
weather seals for their covers. Any gasket with questionable ability to provide a
watertight seal should be replaced.

TRANSFORMERS CT TESTS:

Transformer bushing CTs should be tested using the Current Ratio test method before the transformer has been completely assembled. CTs should be tested before they are mounted on the transformer. In some cases, CTs may have to be tested by connecting
test leads to both ends of an installed bushing. This can be difficult! If the CTs are already mounted in the transformer, large (high-capacity) current-testing leads can be pulled through the CT centers before bushings have been inserted.
Occasionally it is not possible to perform a Current Ratio test. CT tap ratios can be
verified by applying a voltage across the full CT winding – a Tap Voltage Ratio test -- then measuring the voltage drop across each individual tap. This is a simple test to perform, and voltage ratios will be directly proportional to the CT turns ratio between taps.
This Tap Voltage Ratio test, however, should not be chosen as a substitute for a Current Ratio test. The voltage method should be regarded as the last alternative. Testing the equipment at rated current offers more assurance that it will perform as expected when placed in service. The Current Ratio method reflects this philosophy.The Tap Voltage method cannot establish true orientation
(polarity) of the installed CT, or test the primary to secondary current ratio, and leaves some points unverified.
In addition to Tap Voltage Ratio, a secondary Tap Current Ratio test can be performed.
For this test, rated or less current is injected through a tap input and the output current of the full CT winding is measured by transformer action. It is equivalent to the procedure used for performing a Short-Circuit Impedance test on an autotransformer.

CT POLARITY:

It is still necessary to verify CT polarity. One method used to establish CT polarity in power transformers is commonly referred to as "Flashing the CTs." This test can be performed by applying 6-to-12 volts DC to the transformer bushings, using a hot stick to make and break the test circuit. An automobile battery is often most convenient because
work vehicles are usually available at the job site, but a lantern battery will work as well. The transformer winding resistance is usually enough to limit the current flow from a 12-volt car battery, but adding series (current-limiting) resistance (a load box) to the test circuit is advisable in any test circuit with an automotive battery.
Be aware that the DC test circuit will generate a voltage kick when disconnected. Take precautions to prevent electric shock. If performing this test directly on CTs, always
include a current-limiting resistance (a load box) in the flash lead connections. Lantern batteries have high internal resistance and don’t need an extra series resistor. Arc flash on a power transformer can be limited if the transformer windings are short circuited on the side opposite those being flashed through.

SINGLE-PHASE VOLTAGE RATIO, POLARITY and IMPEDANCE
MEASUREMENTS:

Ratio, polarity, and impedance measurements are compared with nameplate data to verify their correctness and to ensure that there is no hidden shipping damage, that the transformer field assembly is correct, and that the transformer is ready for service. In addition, these test data reports become a valuable tool when compared with later diagnostic tests used to assess transformer condition.
Single-phase test procedures can be used to measure the ratio and impedance of two-winding transformers, three-winding transformers, autotransformers, and
three-phase transformers. Moreover, in the case of three-phase transformers (with a Wye connection) and grounding banks, zero-sequence impedance measurements are made with the single-phase procedure. Comparisons between measurements are useful when single-phase tests are made on three identical transformers or on each phase of a? three-phase transformer, as it is unlikely that each single-phase unit or each phase of a three-phase transformer would have sustained the same damage.

SINGLE-PHASE POLARITY 

                    Fig A            Fig B  

Single-Phase Transformer Polarities
Single-Phase Transformer Polarities

The polarity designation of each transformer winding is determined by the relative direction of instantaneous current or voltage as seen at the transformer terminals. For example, primary and secondary leads are said to have the same polarity when, at a given
instant, current enters the primary lead in question, the instantaneous induced voltage in the secondary is increasing when the impressed voltage on the primary is increasing, or conversely, if they are both decreasing at the same instant.
Transformer polarity relates to how winding leads are brought out to bushing terminals.
These connections are determined by transformer design, winding directions and internal-lead clearance requirements. Transformer polarity is either subtractive or additive. If the instantaneous polarity (as defined above) of adjacent terminals is the same, transformer polarity is subtractive (See Fig. A). If diagonally opposite terminals of a transformer
have the same instantaneous polarity, transformer polarity is additive (See Fig.B). Transformer winding polarity locations are important when identical windings on a transformer are to be paralleled, when paralleling transformers with identical ratios and voltage ratings, when determining three-phase connections of transformers, and to establish the correct connections for three-phase transformers that operate in parallel with the power system. Polarity between transformer windings may be determined either by comparison with a transformer of known polarity, DC flashing or the AC method.

TRANSFORMER POLARITY BY DC FLASHING METHOD:

Single-Phase Transformer Polarities
Single-Phase Transformer Polarities

 

The DC Flashing test uses 1.5-V to 6-V dry-cell batteries and a DC voltmeter with 1.5-V to 10-V scales. Meter deflection directions will be more discernible if the meter’s mechanical zero position can be adjusted in an upscale direction to allow deflecting in both directions. As shown in Fig. the test is conducted by connecting the voltmeter to the transformer low-voltage terminals and connecting the battery intermittently to the high-voltage winding.
transformer polarity is subtractive if the meter shows an upscale kick when test connection SW is closed and a downscale kick when test connection SW is opened.
In this case bushings “A and B” would be labeled “X1 and X2,” respectively as polarity terminals are adjacent. Transformer polarity would be additive if the meter shows a downscale kick when test connection SW is closed and upscale kick when test connection SW is opened. In this case bushings “A and B” would be labeled “X2 and X1” respectively as polarity terminals are diagonally opposite.

Note: The inductive kick when the battery circuit is opened will be much larger than when the battery circuit is closed.
Adequate meter deflection will require a dry-cell battery that is in good condition, low-resistance connections to bushing terminals, and positive make-and-break connections to terminal H1. The usual procedure is for the person operating the battery connections to say, “Make” when connecting the positive battery terminal to the H1 bushing and “Break” when opening the connection. Then, observation of meter deflections determines transformer-winding polarity. Also, verify meter terminal markings by measuring a dry cell prior to testing.

TAP CHANGERS:

Tap changers allow transformer input and output voltages to be matched with the rest of the power system or to adjust voltage levels between power sources and customers. They allow transformers to be applied in situations where voltage control would be verydifficult without utilizing additional expensive equipment..
Tap changers are either “no load” (NL) or “under load” (UL) control devices. No load means that the transformer must be de-energized before an operator may change tap positions. Under load means that tap positions can be changed while the transformer is energized and carrying power. UL tap changers allow transformers to be used as voltage
regulating devices; however, the other method for voltage regulation on the power system is through the use of shunt capacitors and reactors using circuit switchers and/or breakers to switch them on and off line While Voltage Ratio, Impedance, Resistance, and TTR tests are being performed, the tapchanger
mechanism must be operated to get test data under all available tap settings.
When the Ratio test is performed, all possible tap positions should be checked for both NL and UL tap changers. This is especially important for a new transformer. Limited assistance may be available in the manufacturer's instruction books for personnel who are not familiar with these mechanisms.
When a NL tap changer is tested, a small amount of current is applied to excite the tap winding, and a meter monitoring the output winding is carefully observed to determine where windings are dropped out and picked up during tap changes. This check should be used to verify that tap-changer contacts are properly centered, and that they actually do
open and make up at the correct point between tap changes. All tap changers must have their contacts firmly and correctly placed when in a tap position. On some tap changers there is some spring pressure felt when manually changing from tap to tap. This pressure should be consistent on manually operated (NL) tap changers when moving from one position to another, either up or down. Note that NL tap changers actually create an open circuit during tap change transitions. If they do not appear to operate correctly, investigate!  When testing UL tap changers, excitation current should be monitored continuously to verify that the winding is NEVER open-circuited.
Both local and remote operation and indication of UL tap changers must be verified.
Remote operation from the control house should be tested completely. The limits of the control should be checked to see that the tap changer will not go beyond its stops. Check SCADA control over the entire operating range. Make sure that the local and remote position readings match. Check for operation with the supervisory cutoff switch in both
the "on" and "off" positions.

Source:Transformer testing pdf

Wednesday, 31 May 2017

Effect of Harmonics on electrical system
Defines harmonic as a sinusoidal component of a periodic wave or quantity (for example voltage or current) having a frequency that is an integral multiple of the fundamental frequency.For example on 60Hz supply, the 3rd harmonic is 3 x 60Hz (=180Hz); the 5th harmonic is 5 x 60Hz (=300Hz) and so on....When all harmonic currents are added to the fundamental a waveform known as complex wave is formed.

Types of equipment that generate harmonics:
when a nonlinear load (for example computers, variable frequency drives, discharge lighting, Static power converters etc) draws distorted (non-sinusoidal) current  from the supply, which distorted current passes through all of the impedance between the  load and power source. The associated harmonic currents passing through the system  impedance cause voltage drops for each harmonic frequency based on Ohm’s Law The vector sum of all the individual voltage drops results in total voltage distortion,  the magnitude of which depends on the system impedance, available system fault current  levels and the levels of harmonic currents at each harmonic frequency.
what is Effect of Harmonics on the induction motor
Voltage and current wave form
non-linear load
 How harmonic are generated in electrical power distribution system:
Static power converters are the equipment that utilize power semiconductor devices for power conversion from AC to DC, DC to DC, DC to AC and AC to AC; and constitute the largest nonlinear loads connected to the electric power systems. These converters are used for various purposes in the industry, such as adjustable speed (or variable frequency) drives, uninterruptable power supplies, switch-mode power supplies etc. These static power converters used in a variety of applications draw non-linear (i.e. non-sinusoidal) currents and distort the supply voltage waveform at the point of common coupling (PCC)

Effect of Harmonics on generator, transformer, induction motor, cables, circuit breaker and fuses are given below     

1) What is effect of Harmonics on Generators
In comparison with utility power supplies, the effects of harmonic voltages and harmonic  currents are significantly more pronounced on generators (esp. stand-alone generators used  a back-up or those on the ships or used in marine applications) due to their source impedance  being typically three to four times that of utility transformers. The major impact of voltage  and current harmonics is to increase the machine heating due to increased iron losses, and  copper losses, since both are frequency dependent and increase with increased harmonics.To reduce this effect of harmonic heating, the generators supplying nonlinear loads are  required to be derated. In addition, the presence of harmonic sequence components with  nonlinear loading causes localized heating and torque pulsations with torsional vibrations.
2) Effect of Harmonics on Transformers
The effect of harmonic currents at harmonic frequencies causes increase in core losses due to increased iron losses (i.e., eddy currents and hysteresis) in transformers. In addition, increased copper losses and stray flux losses result in additional heating, and winding insulation stresses,especially if high levels of dv/dt (i.e.rate of rise of voltage) are present.Temperature cycling  and possible resonance between transformer winding inductance and supply capacitance can also cause additional losses.The small laminated core vibrations are increased due to the presence of harmonic frequencies, which can appear as an additional audible noise.The increased rms current due to harmonics will increase the I 2R (copper) losses. The distribution transformers used in four-wire (i.e., three-phase and neutral) distribution systems have typically a delta-wye configuration. Due to delta connected primary, the Triplen (i.e. 3rd, 9th, 15th…) harmonic currents cannot propagate downstream but circulate in the primary delta winding of the transformer causing localized overheating. With linear loading, the three-phase currents will cancel out in the neutral conductor. However, when nonlinear loads are being supplied, the triplen harmonics in the phase currents do not cancel out, but instead add cumulatively in the neutral conductor at a frequency of predominately 180 Hz (3rd harmonic), overheating the transformers and occasionally causing overheating and burning of neutral conductors. Typically, the uses of appropriate “K factor”
rated units are recommended for non-linear loads.
3) How harmonics effect on Induction Motors
Harmonics distortion raises the losses in AC induction motors in a similar way as in transformers and cause increased heating, due to additional copper losses and iron losses (eddy current and hysteresis losses) in the stator winding, rotor circuit and rotor laminations.These losses are further compounded by skin effect, especially at frequencies above 300 Hz.Leakage magnetic fields caused by harmonic currents in the stator and rotor end windings produce additional stray frequency eddy current dependent losses. Substantial iron losses can also be produced in induction motors with skewed rotors due to high-frequency-induced currents and rapid flux changes (i.e., due to hysteresis) in the stator and rotor.Excessive heating can degrade the bearing lubrication and result in bearing collapse. Harmonic currents also can result in bearing currents, which can be however prevented
by the use of an insulated bearing, a very common practice used in AC variable frequency drive-fed AC motors. Overheating imposes significant limits on the effective life of an induction motor. For every 10°C rise in temperature above rated temperature, the life of  motor insulation may be reduced by as much as 50%. Squirrel cage rotors can normally  withstand higher temperature levels compared to wound rotors. The motor windings,  especially if insulation is class B or below, are also susceptible to damage due high levels  of dv/dt (i.e., rate of rise of voltage) such as those attributed to line notching and associated ringing due to the flow of harmonic currents.Harmonic sequence components also adversely affect induction motors. Positive sequence components (i.e., 7th, 13th, 19th…) will assist torque production, whereas the negative sequence components (5th, 11th, 17th…) will act against the direction of rotation resulting in torque pulsations. Zero sequence components (i.e., triplen harmonics) are stationary and do not rotate, therefore, any harmonic energy associated with them is dissipated as heat. The magnitude of torque pulsations generated due to these harmonic sequence
components can be significant and cause shaft torsional vibration problems.
4) Cables
Cable losses, dissipated as heat, are substantially increased when carrying harmonic currents due to elevated I 2R losses, the cable resistance, R, determined by its DC value plus skin and proximity effect. The resistance of a conductor is dependent on the frequency of the current being carried. Skin effect is a phenomenon whereby current tends to flow near the surface of a conductor where the impedance is least. An analogous phenomenon, proximity effect, is due to the mutual inductance of conductors arranged closely parallel to one another. Both of these effects are dependent upon conductor size, frequency, resistivity and the permeability of the conductor material. At fundamental frequencies, the skin effect and proximity effects are usually negligible, at least for smaller conductors. The associated losses due to changes in resistance, however, can increase significantly with frequency, adding to the overall I 2R losses.
5) Circuit Breakers and Fuses
The vast majority of low voltage thermal-magnetic type circuit breakers utilize bi-metallic trip mechanisms which respond to the heating effect of the rms current. In the presence of nonlinear loads, the rms value of current will be higher than for linear loads of same power. Therefore, unless the current trip level is adjusted accordingly, the breaker may trip prematurely while carrying nonlinear current. Circuit breakers are designed to interrupt the current at a zero crossover. On highly distorted supplies which may contain line notching and/or ringing, spurious “zero crossovers” may cause premature interruption of circuit breakers before they can operate correctly in the event of an overload or fault. However, in the case of a short circuit current, the magnitude of the harmonic current will be very minor in comparison to the fault current.
Fuse ruptures under over current or short-circuit conditions is based on the heating effect of the rms current according to the respective I 2t characteristic. The higher the rms current, the faster the fuse will operate. On nonlinear loads, the rms current will be higher than for similarly-rated linear loads, therefore fuse derating may be necessary to prevent premature opening. In addition, fuses at harmonic frequencies, suffer from skin effect and more importantly, proximity effect, resulting in non-uniform current distribution across the fuse elements, placing additional thermal stress on the device.
6) Lighting
One noticeable effect on lighting is the phenomenon of “flicker” (i.e., repeated fluctuations in light intensity). Lighting is highly sensitive to rms voltage changes; even a slight deviation (of the order of 0.25%) is perceptible to the human eye in some types of lamps.Superimposed interharmonic voltages in the supply voltage are a significant cause of light flicker in both incandescent and fluorescent lamps.

Other negative effects of harmonics

a) Effect of  harmonics on power factor correction capacitors:
  Power factor correction capacitors are generally installed in industrial plants and commercial buildings. Fluorescent lighting used in these facilities also normally has capacitors fitted internally to improve the individual light fitting’s own power factor. The harmonic currents can interact with these capacitances and system inductances, and occasionally excite parallel resonance which can over heat, disrupt and/or damage the plant and equipment.
b) Effect of  harmonics on on power cable:
Power cables carrying harmonic loads act to introduce EMI (electromagnetic interference) in adjacent signal or control cables via conducted and radiated emissions. This “EMI noise” has a detrimental effect on telephones, televisions, radios, computers, control systems and other types of equipment. Correct procedures with regard to grounding and segregation within enclosures and in
external wiring systems must be adopted to minimize EMI.
c) Effect of  harmonics on telemetry, protection:
Any telemetry, protection or other equipment which relies on conventional measurement techniques or the heating effect of current will not operate correctly in the presence of nonlinear loads. The consequences of under measure can be significant; overloaded cables may go undetected with the risk of catching fire. Busbars and cables may prematurely age. Fuses and circuit breakers will not offer the expected level of protection. It is therefore important that only instruments based on true rms techniques be used on power systems supplying nonlinear loads.
d) Effect of  harmonics on installations:
At the installations where power conductors carrying nonlinear loads and internal telephone signal cable are run in parallel, it is likely that voltages will be induced in the telephone cables. The frequency range, 540 Hz to 1200 Hz (9th harmonic to 20th harmonic at 60 Hz fundamental) can be troublesome.
e) There is also the possibility of both conducted and radiated interference above normal harmonic frequencies with telephone systems and other equipment due to variable speed drives and other nonlinear loads, especially at high carrier frequencies. EMI filters at the inputs may have to be installed on drives and other equipment to minimize the possibility of inference.
f) Effect of  harmonics on meters,measurement euipments:
Conventional meters are normally designed to read sinusoidal-based quantities. Nonlinear voltages and currents impressed on these types of meters introduce errors into the measurement circuits which result in false readings.

Speed control methods of three phase Induction Motor Detailed explanation:


A three phase induction motor is  a constant speed motor as dc  shunt motor.  But the speed of d.c.  shunt motor can be changed smoothly just by using rheostats. This maintains the speed regulation and efficiency of dc. shunt motor.  But in case of 3 phase  induction motors very difficult to achieve smooth speed control.  if the speed control is achieved by using some methods , the performance of the induction motor in term of  its power factor,  efficiency etc.  gets badly  affected. 


speed equation of induction motor is,
 
Speed control methods of three phase Induction Motor Detailed explanatio
figure: induction motor speed control


From above equation it observed that speed of the induction motor can be changed either the synchronous speed Ns or by changing value of  slip s.

Torque produced in  three phase induction motor is ,
Fig: Torque equation of induction motor
if the value of  R and E  are changed then to keep the torque constant for constant load condition,  motor reacts by change in its slip.  Effectively its speed changes. 

Thus speed of the induction motor can be controlled by methods: 

it includes following methods

a)  Supply frequency control  I. e v/f control
b)  Supply voltage control.
c)  By Pole changing.  
d)  Adding rheostats in stator circuit
 
 
Let discus in detail  Speed control methods of three phase Induction Motor:

a ) Supply Frequency control or v/f control 
The synchronous speed is given by,
fig:speed equation of induction motor
 
Thus by controlling the supply frequency ( f )smoothly,  the synchronous speed can be controlled smoothly 

b) speed control by supply voltage:
Torque equation 
For low slip region which is operating region of induction motor (sX)^2 <<R and hence neglected

Now
From above expression if supply voltage reduced below rated value, torque produced also decrease 
But due to reduction in voltage, current drawn by motor increases. Large  change in voltage for small change in speed required is the biggest disadvantage of this method. Due to increased in current motor may get overheated hence this method rarely used in practice. 

c) By Pole changing: 
 
This method called pole changing method of controlling speed of induction motor. In this method it is possible to have various speed  in steps by changing stater pole.  Continues smooth speed control not possible by this method
 

d) Adding rheostat  circuit
Rotor resistance starter
fig:Rotor resistance starter

 If the rotor resistance is increased,  the torque produced decreases. But when  the load on the motor is same,  motor has to supply same   torque as load demands.  So motor reacts by increasing its slip to compensate decrease in  T torque  due to resistance  R and maintains the load torque R constant So due to additional rotor resistance R
motor slip increases ie the speed of the motor decreases Thus by increasing the rotor resistance R.  speeds below normal value can be achieved Another advantage of this method is that the starting torque of the motor increases Fi proportional to rotor resistance  But this method has following disadvantages 1.  The large speed changes are not possible This is because for large speed change.required  large in rotar which causes large rotor losses, which reduce the efficiency of motor . 

 disadvantages of speed control of induction motor by adding external resistances:

1)  this method can not be used for the squirrel cage induction motors 
2)  The speed above the normal values can not be obtained
3)  Large power looses occur hence sufficient cooling arrangements required
4)  Due to large power losses,  efficiency is low Thus the method is rarely used



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