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<strong>AC</strong> <strong>Induction</strong> <strong>Motor</strong> <strong>Slip</strong> – <strong>What</strong> <strong>It</strong> <strong>Is</strong> <strong>And</strong> <strong>How</strong> <strong>To</strong> Minimize <strong>It</strong><br />

Mauri Peltola, ABB Oy, Helsinki, Finland<br />

The alternating current (<strong>AC</strong>) induction motor is often referred to as the workhorse of the industry<br />

because it offers users simple, rugged construction, easy maintenance and cost-effective pricing.<br />

As a result of these factors, more than 90 percent of motors installed worldwide are <strong>AC</strong> induction.<br />

Despite its popularity, the <strong>AC</strong> induction motor has two limitations: <strong>It</strong> is not a constant-speed<br />

machine, and it is not inherently capable of providing variable-speed operation. Both limitations<br />

require consideration, as the quality and accuracy requirements of motor/drive applications<br />

continue to increase.<br />

Figure 1. Cutaway of squirrel cage <strong>AC</strong> induction motor opened to show the stator and rotor<br />

construction, the shaft with bearings and the cooling fan<br />

<strong>Motor</strong> <strong>Slip</strong> <strong>Is</strong> Necessary For <strong>To</strong>rque Generation<br />

An <strong>AC</strong> induction motor consists of two assemblies,stator and rotor. The stator structure is<br />

composed of steel laminations shaped to form poles. Copper wire coils are wound around these<br />

poles. These primary windings are connected to a voltage source to produce a rotating magnetic<br />

field. Three-phase motors with windings spaced 120 electrical degrees apart are standard for<br />

industrial, commercial and residential use.<br />

The rotor is another assembly made of laminations over a steel shaft core. Radial slots around<br />

the laminations' periphery house rotor bars,cast-aluminum or copper conductors shorted at the<br />

ends and positioned parallel to the shaft. Arrangement of the rotor bars resembles a squirrel<br />

cage; hence, the term squirrel-cage induction motor. The name "induction motor" comes from the<br />

<strong>AC</strong> "induced" into the rotor via the rotating magnetic flux produced in the stator.<br />

The interaction of currents flowing in the rotor bars and the stators' rotating magnetic field<br />

generate torque. In actual operation, rotor speed always lags the magnetic field's speed, allowing<br />

the rotor bars to cut magnetic lines of force and produce useful torque. This speed difference is<br />

called slip speed. <strong>Slip</strong> also increases with load and is necessary for torque production.<br />

<strong>Slip</strong> Depends On <strong>Motor</strong> Parameters<br />

The formal definition of slip is:


S = (ns , n) x 100 percent/ns , where<br />

ns = synchronous speed<br />

n = actual speed<br />

At low values, slip is directly proportional to the rotor resistance, stator voltage frequency and<br />

load torque, and inversely proportional to the second power of supply voltage. The traditional way<br />

to control wound-rotor-induction-motor speed is to increase slip by adding resistance in the rotor<br />

circuit. The slip of low-hp motors is higher than that of high-hp motors because rotor-winding<br />

resistance is greater in smaller motors.<br />

As seen in Table 1, smaller and lower-speed motors are associated with higher relative slip.<br />

<strong>How</strong>ever, high-slip large motors and low-slip small motors also are available.<br />

Table 1. <strong>Motor</strong> slip of selected aluminium and cast iron NEMA motors, with synchronous speed<br />

ranging from 3600 RPM to 900 RPM<br />

As one can see, full-load slip varies from less than 1 percent (in high-hp motors) to more than 5<br />

percent (in fractional-hp motors). These variations may cause load-sharing problems when<br />

motors of different sizes are connected mechanically. At low load, the sharing is about correct;<br />

but at full load, the motor with lower slip takes a higher share of the load than the motor with<br />

higher slip.<br />

As shown in Figure 2, rotor speed decreases in proportion to load torque. This means that rotor<br />

slip increases in the same proportion.<br />

Key:<br />

A = Synchronous speed<br />

B = Rotor speed<br />

C = Rotor slip


D = <strong>To</strong>rque<br />

Figure 2. The speed curve of an induction motor. <strong>Slip</strong> is the difference in rotor speed relative to<br />

that of the synchronous speed. CD = AD , BD = AB.<br />

Relatively high rotor impedance is required for good across-the-line (full voltage) starting<br />

performance (meaning high torque against low current), and low rotor impedance is necessary for<br />

low full-load speed slip and high operating efficiency. The curves in Figure 3 show how greater<br />

rotor impedance in motor B reduces the starting current and increases the starting torquebut it<br />

causes a greater slip than in standard motor A.<br />

Figure 3. <strong>To</strong>rque/speed and current/speed curves for a standard motor A (full lines) and a hightorque<br />

motor B (dotted lines).<br />

Methods <strong>To</strong> Reduce <strong>Slip</strong><br />

Synchronous motors, reluctance motors or permanent-magnet motors don't slip. Synchronous<br />

motors commonly are used for very high-power and very low-power applications, but to a lesser<br />

extent in the medium-hp range, where many typical industrial applications are found. Reluctance


motors also are used, but their output/weight ratio is not good and, therefore, they are less<br />

competitive than squirrel-cage induction motors.<br />

Permanent magnet (PM) motors, which are used with electronic adjustable-speed drives, provide<br />

benefits such as accurate speed control without slip, high efficiency with low rotor losses and the<br />

flexibility of choosing a very low base speed, eliminating the need for gearboxes. PM motors are<br />

limited to special applications, mainly because of high cost and the lack of standardization.<br />

Figure 4. The effect of the slip compensation.<br />

Selecting an oversized <strong>AC</strong> induction motor also reduces slip. Larger motors exhibit less slip, and<br />

it gets smaller with a partial (rather than full) motor load.<br />

For example, refer to Table 1. The required power is 10 hp at about 1,800 rpm and 1.5 percent<br />

speed accuracy is required. We know that a 10-hp motor has a slip of 4.4 percent. Can we<br />

achieve an accuracy of 1.5 percent with a 15-hp motor?<br />

Answer: The full-load slip of the 15-hp motor is 2.2 percent, but the load is only 10/15 = 0.67. The<br />

slip will be 67 percent of 2.2 and equals 1.47 percent, which fulfils the requirements. A<br />

disadvantage to oversizing is that larger motors consume more energy, increasing investment<br />

and operation costs.<br />

Applying An Adjustable-Speed <strong>AC</strong> Drive <strong>Is</strong> Often The Best Solution<br />

Using adjustable-speed control can solve <strong>AC</strong> induction motor limitations. The most common <strong>AC</strong><br />

drives use pulse-width modulation (PWM). Line voltage is rectified, filtered and converted to a<br />

variable voltage and frequency. When frequency-converter ouput is connected to an <strong>AC</strong> motor,<br />

it's possible to adjust motor speed.<br />

When an <strong>AC</strong> drive is used to adjust motor speed, motor slip is no longer a problem in many<br />

applications. A number of drive applications still exist, including printing machines, extruders,<br />

paper machines, cranes and elevators, in which high static speed accuracy, dynamic speed<br />

accuracy or both are required.


Rather than over sizing the motors to eliminate the slip-induced speed error, it may be better to<br />

use sectional drive line-ups with separate inverters for each motor. The inverters are connected<br />

to a direct current (DC)-voltage bus bar supplied by a common rectifier. This is an energy-efficient<br />

solution because the driving sections use the braking energy from decelerating sections<br />

(regeneration).<br />

<strong>To</strong> reduce motor slip, compensation can be added to <strong>AC</strong> drives. A load torque signal is added to<br />

the speed controller to increase the output frequency in proportion to the load. (<strong>Slip</strong> compensation<br />

cannot be 100 percent of the slip because rotor temperature variations cause over-compensation<br />

and unstable control.) But the compensation can achieve an accuracy as great as 80 percent,<br />

reducing slip from 2.4 percent to 0.5 percent.<br />

Figure 5. Block diagram of Direct <strong>To</strong>rque Control, DTC<br />

Vector <strong>And</strong> Direct <strong>To</strong>rque Control Improve Speed Control<br />

The newest high-performance technologies in adjustable-speed drives field are vector control and<br />

direct torque control (DTC). Both use some type of motor model and suitable control algorithms to<br />

control torque and flux, rather than the voltage and frequency parameters used in PWM drives.<br />

The difference between traditional vector control and DTC is that the latter has no fixed switching<br />

pattern for each voltage cycle. DTC switches, instead, the inverter according to the load 40,000<br />

times per sec. This makes DTC especially fast during instant load changes and minimizes the<br />

need for and effect of dramatic speed changes once the load or process is in operation.<br />

<strong>What</strong> <strong>Is</strong> DTC?<br />

DTC is an optimized <strong>AC</strong> drives control principle, in which inverter switching directly controls flux<br />

and motor torque.<br />

The input variables for DTC are motor current and DC link and voltage. The voltage is defined<br />

from the DC-bus voltage and inverter switch positions. The voltage and current signals are inputs<br />

to an accurate motor model, which updates stator flux and torque every 25 microseconds.


Two-level motor torque and flux comparators compare the actual values to the reference values<br />

produced by torque and flux reference controllers. The outputs from these two-level controllers<br />

are updated every 25 microseconds, and they indicate whether the torque or flux must be<br />

changed.<br />

Depending on the outputs from the two-level controllers, the switching logic optimizes inverter<br />

switch positions. This means that each single voltage pulse is determined separately at "atomic<br />

level." The inverter switch positions determine motor voltage and current, which, in turn, influence<br />

the motor torque and flux (this closed loop control eliminates the need for encoders in many<br />

applications).<br />

The reason DTC control reacts faster than PWM control is shown in Figure 6. The motor is<br />

running with low load at point A and the load has a stepwise increase to high load. The higher<br />

torque with the PWM control is achieved by reducing speed from A to B, which is quite slow. The<br />

higher torque with the DTC control is achieved by direct increase of torque from A to C about 10<br />

times faster than that of PWM control.<br />

Figure 6. Comparison between PWM modulation and DTC drive control during load impact: A to<br />

B with PWM control and A to C with DTC control.<br />

<strong>Slip</strong> compensation with DTC is instantaneous and produces a nominal slip of 10 percent. This<br />

translates into a speed accuracy of 0.1 percent to 0.5 percent. This enables DTC drive use in<br />

many applications where a tachometer-based vector control was needed previously. For<br />

applications demanding an even higher accuracy, it's possible to add a pulse encoder to a DTC<br />

drive.<br />

Mauri Peltola is the former marketing manager of ABB Oy, Drives in Helsinki, Finland. He can be<br />

reached at Mauri.Peltola@fi.abb.com.

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