For joan271273. Some excellent references for your use. I have found these to be the best of the many that are available.
-Lightening Protection For Electrical Equipment by Edward Beck, Manager, Lightning Arrester Engineering Section, Westinghouse Electric Corporation, McGraw-Hill, 1954
-Electrical Transients in Power Systems by Allan Greenwood, Consulting Engineer Power Transmission Division, General Electric Company, Wiley-Interscience, 1971
-Polyphase Induction Motors, Analysis, Design, and Application by Paul L. Cochran, General Electric Company, Marcel Dekker, 1989
The recommendations for lightening arrester and capacitors are as follows:
CAPACITORS-Located at the machine terminals
Motor Bus Voltage Capacitors in Micro-farads per
in KV Phase
2.4 .5
4.16 .5
4.8 .5
6.9 .5
11.5 .25
13.8 .25
Arresters-Located at the machine terminals
Motor Bus Voltage Station Type Arrester Rating
in KV in KV
2.4 3.0
4.16 4.5
4.8 6.0
6.9 7.5
11.5 12.0
13.8 15.0
A few words concerning the need and purpose of the surge module. The motor insulation system is able to withstand short time overvoltages to a greater degree than it is able to withstand long-time overvoltages. However repeated short-time overvoltages, even of very short duration, have a cummulative effect in weakening the insulation system and thus can result in insulation system failure. The insulation system of interest is the turn-turn insulation and the ground wall insulation in the stator slots.
An incoming transient wave, lightning stroke or a switching surge, has a relatively steep slope and rises from zero voltage to the peak voltage in a relatively short period of time. This steep front voltage wave can be impressed across a small amount of the motor coil and subjects the insulation system to tremendous voltage stresses. For example the typical lightninig surge will rise from zero voltage to peak voltage in apprximately 1.5 micro-seconds. This means that one part of the coil will experience zero volts while the insulation immediately behind it can experience the full peak voltage of the incoming transient . The time for the voltage to reach its peak and the speed at which the voltage is propragated through the winding is dependent on the combined lumped capacitance and inductance of the specific system. The purpose of the capacitor is to cause the rise time of the incoming surge to be modified from a rise time of say 1.5 micro-seconds to a rise time of around 10 micro-seconds or more. By increasing the rise time of the transient voltage, a smaller voltage gradient is impressed across the motor insulation system. The purpose of the arrester is to limit the magnitude of the incoming voltage to a value which the insulation system can withstand.
The system is most easily modeled by having the system inductance in series with a lumped capacitance. A transient voltage is then impressed in this circuit and the voltage rise time and speed of propagation can be calculated from formulas. The speed of the wave is given by
v(velocity in meters/sec)=(1/LC)^.5 and the time to reach the peak voltage is T(sec)=(3.14159/2)*(LC)^.5.
When the motor surge impedance is added to this model it is in parallel with the lumped capacitance and the surge impedance is represented by Z= (L/C)^.5. Surge impedance of machines can be obtained from the manufacturer and my motor data for 2300 volt motors shows values from 100-1000 ohms for machines ranging from 250 HP to 3000 HP at speeds from 3600 RPM to 900 RPM. The smaller high speed machines having the higher surge impedance and the larger machines having smaller surge impedance values. I have in front of me the surge impedance of a 300 HP, 2300 volt, 1800 RPM which is listed as 575 ohms and a 2000HP, 2300 volt, 900 RPM is shown as 105 ohms.
If these motors are cable supplied from transformers and not subjected to direct strokes to the motor supply circuit, then the incoming lightning or switching surge must pass through the transformer inductance. The transformer inductance can be obtained by seperating the transformer impedance into the X and R values and calculating the inductance in millihenrys from the transformer X value.(L=Xl/377)
I have modeled many machines cable connected from transformers and found that the combination of the transformer inductance and lumped capacitance of the cable circuit have been more than adequate in providing the sloping required for the incoming transient voltage. Thus, I have not installed surge protection for these types of installations for induction motors and have had no problems. These motors have been supplied with both the air magnetic and vacuum type contactors and/or breakers and I know of no problems in more than 30 years. The surge pack takes up space and the motor terminal box can become a nightmare in the installation/removal of the individual motors. Having said this, I always install surge protection equipment for generators operating at 6900 volts and above.The cost and importance of the individual rotating machine to be protected is always the determining factor in application of this protection. Also the terminal box of this equipment is normally designed to accomodate this surge protective equipment.
The book by Beck has an excellent chapter on protecting rotating machines and there is an example of the calculations in Chapter 14, pages 226-231.
A couple of final thoughts on this subject. The insulation system of the machine fails when the peak voltage of the ground insulation system in the slots is exposed to short time values which exceed the rating of the insulation system. Repeated short time transients will weaken the system and may cause premature insulation failure due to electrical fatigue and a result in a machine ground fault. The more serious concern is exceeding the turn to turn insulation system rating. The maximum voltage across the turn-turn insulation system is usually at the terminals of the machine and not within the windings. I should also mention that the speed of propagation of the traveling wave is significantly different for the winding which is located within the slot than the portion which is located in the end turn portion. Speeds within the slot are around 15-20 meters/micro-second and the speed in the end turns is around 150-200 meters/micro-second. This is due to the fact that the capacitance and inductance for the portion of the winding within the slot is much greater than the winding in the end turns.
Hope this helps.