วันเสาร์ที่ 13 เมษายน พ.ศ. 2556

Unipolar stepper motor


Unipolar motors

A unipolar stepper motor has one winding with center tap per phase. Each section of windings is switched on for each direction of magnetic field. Since in this arrangement a magnetic pole can be reversed without switching the direction of current, the commutation circuit can be made very simple (e.g., a single transistor) for each winding. Typically, given a phase, the center tap of each winding is made common: giving three leads per phase and six leads for a typical two phase motor. Often, these two phase commons are internally joined, so the motor has only five leads.
microcontroller or stepper motor controller can be used to activate the drive transistors in the right order, and this ease of operation makes unipolar motors popular with hobbyists; they are probably the cheapest way to get precise angular movements.

Unipolar stepper motor coils
(For the experimenter, the windings can be identified by touching the terminal wires together in PM motors. If the terminals of a coil are connected, the shaft becomes harder to turn. one way to distinguish the center tap (common wire) from a coil-end wire is by measuring the resistance. Resistance between common wire and coil-end wire is always half of what it is between coil-end and coil-end wires. This is because there is twice the length of coil between the ends and only half from center (common wire) to the end.) A quick way to determine if the stepper motor is working is to short circuit every two pairs and try turning the shaft, whenever a higher than normal resistance is felt, it indicates that the circuit to the particular winding is closed and that the phase is working.

[edit]Bipolar motor

Bipolar motors have a single winding per phase. The current in a winding needs to be reversed in order to reverse a magnetic pole, so the driving circuit must be more complicated, typically with an H-bridge arrangement (however there are several off-the-shelf driver chips available to make this a simple affair). There are two leads per phase, none are common.
Static friction effects using an H-bridge have been observed with certain drive topologies.[2]
Dithering the stepper signal at a higher frequency than the motor can respond to will reduce this "static friction" effect.
Because windings are better utilized, they are more powerful than a unipolar motor of the same weight. This is due to the physical space occupied by the windings. A unipolar motor has twice the amount of wire in the same space, but only half used at any point in time, hence is 50% efficient (or approximately 70% of the torque output available). Though a bipolar stepper motor is more complicated to drive, the abundance of driver chips means this is much less difficult to achieve.
An 8-lead stepper is wound like a unipolar stepper, but the leads are not joined to common internally to the motor. This kind of motor can be wired in several configurations:
  • Unipolar.
  • Bipolar with series windings. This gives higher inductance but lower current per winding.
  • Bipolar with parallel windings. This requires higher current but can perform better as the winding inductance is reduced.
  • Bipolar with a single winding per phase. This method will run the motor on only half the available windings, which will reduce the available low speed torque but require less current

[edit]Higher-phase count stepper motors

Multi-phase stepper motors with many phases tend to have much lower levels of vibration,[3] although the cost of manufacture is higher. These motors tend to be called 'hybrid' and have more expensive machined parts, but also higher quality bearings. Though they are more expensive, they do have a higher power density and with the appropriate drive electronics are actually better suited to the application[citation needed], however price is always an important factor. Computer printers may use hybrid designs.

[edit]Stepper motor drive circuits


Stepper motor with Adafruit Motor Shield drive circuit on Arduino
Stepper motor performance is strongly dependent on the drive circuit. Torque curves may be extended to greater speeds if the stator poles can be reversed more quickly, the limiting factor being the winding inductance. To overcome the inductance and switch the windings quickly, one must increase the drive voltage. This leads further to the necessity of limiting the current that these high voltages may otherwise induce.

[edit]L/R drive circuits

L/R drive circuits are also referred to as constant voltage drives because a constant positive or negative voltage is applied to each winding to set the step positions. However, it is winding current, not voltage that applies torque to the stepper motor shaft. The current I in each winding is related to the applied voltage V by the winding inductance L and the winding resistance R. The resistance R determines the maximum current according to Ohm's lawI=V/R. The inductance L determines the maximum rate of change of the current in the winding according to the formula for an Inductor dI/dt = V/L. Thus when controlled by an L/R drive, the maximum speed of a stepper motor is limited by its inductance since at some speed, the voltage U will be changing faster than the current I can keep up. In simple terms the rate of change of current is L / R (e.g. a 10mH inductance with 2 ohms resistance will take 5 ms to reach approx 2/3 of maximum torque or around 24 msec to reach 99% of max torque). To obtain high torque at high speeds requires a large drive voltage with a low resistance and low inductance. With an L/R drive it is possible to control a low voltage resistive motor with a higher voltage drive simply by adding an external resistor in series with each winding. This will waste power in the resistors, and generate heat. It is therefore considered a low performing option, albeit simple and cheap.

[edit]Chopper drive circuits

Chopper drive circuits are referred to as constant current drives because they generate a somewhat constant current in each winding rather than applying a constant voltage. On each new step, a very high voltage is applied to the winding initially. This causes the current in the winding to rise quickly since dI/dt = V/L where V is very large. The current in each winding is monitored by the controller, usually by measuring the voltage across a small sense resistor in series with each winding. When the current exceeds a specified current limit, the voltage is turned off or "chopped", typically using power transistors. When the winding current drops below the specified limit, the voltage is turned on again. In this way, the current is held relatively constant for a particular step position. This requires additional electronics to sense winding currents, and control the switching, but it allows stepper motors to be driven with higher torque at higher speeds than L/R drives. Integrated electronics for this purpose are widely available.

[edit]Phase current waveforms

A stepper motor is a polyphase AC synchronous motor (see Theory below), and it is ideally driven by sinusoidal current. A full step waveform is a gross approximation of a sinusoid, and is the reason why the motor exhibits so much vibration. Various drive techniques have been developed to better approximate a sinusoidal drive waveform: these are half stepping and microstepping.

Different drive modes showing coil current on a 4-phase unipolar stepper motor

[edit]Wave drive

In this drive method only a single phase is activated at a time. It has the same number of steps as the full step drive, but the motor will have significantly less than rated torque. It is rarely used.

[edit]Full step drive (two phases on)

This is the usual method for full step driving the motor. Two phases are always on. The motor will have full rated torque.

[edit]Half stepping

When half stepping, the drive alternates between two phases on and a single phase on. This increases the angular resolution, but the motor also has less torque (approx 70%) at the half step position (where only a single phase is on). This may be mitigated by increasing the current in the active winding to compensate. The advantage of half stepping is that the drive electronics need not change to support it.

[edit]Microstepping

What is commonly referred to as microstepping is often "sine cosine microstepping" in which the winding current approximates a sinusoidal AC waveform. Sine cosine microstepping is the most common form, but other waveforms can be used [2]. Regardless of the waveform used, as the microsteps become smaller, motor operation becomes more smooth, thereby greatly reducing resonance in any parts the motor may be connected to, as well as the motor itself. Resolution will be limited by the mechanical stiction, backlash, and other sources of error between the motor and the end device. Gear reducers may be used to increase resolution of positioning.
Step size repeatability is an important step motor feature and a fundamental reason for their use in positioning.
Example: many modern hybrid step motors are rated such that the travel of every full step (example 1.8 Degrees per full step or 200 full steps per revolution) will be within 3% or 5% of the travel of every other full step; as long as the motor is operated within its specified operating ranges. Several manufacturers show that their motors can easily maintain the 3% or 5% equality of step travel size as step size is reduced from full stepping down to 1/10 stepping. Then, as the microstepping divisor number grows, step size repeatability degrades. At large step size reductions it is possible to issue many microstep commands before any motion occurs at all and then the motion can be a "jump" to a new position.[citation needed]

[edit]Theory

A step motor can be viewed as a synchronous AC motor with the number of poles (on both rotor and stator) increased, taking care that they have no common denominator. Additionally, soft magnetic material with many teeth on the rotor and stator cheaply multiplies the number of poles (reluctance motor). Modern steppers are of hybrid design, having both permanent magnets and soft iron cores.
To achieve full rated torque, the coils in a stepper motor must reach their full rated current during each step. Winding inductance and reverse EMF generated by a moving rotor tend to resist changes in drive current, so that as the motor speeds up, less and less time is spent at full current — thus reducing motor torque. As speeds further increase, the current will not reach the rated value, and eventually the motor will cease to produce torque.

[edit]Pull-in torque

This is the measure of the torque produced by a stepper motor when it is operated without an acceleration state. At low speeds the stepper motor can synchronize itself with an applied step frequency, and this pull-in torque must overcome friction and inertia. It is important to make sure that the load on the motor is frictional rather than inertial as the friction reduces any unwanted oscillations.

[edit]Pull-out torque

The stepper motor pull-out torque is measured by accelerating the motor to the desired speed and then increasing the torque loading until the motor stalls or misses steps. This measurement is taken across a wide range of speeds and the results are used to generate the stepper motor's dynamic performance curve. As noted below this curve is affected by drive voltage, drive current and current switching techniques. A designer may include a safety factor between the rated torque and the estimated full load torque required for the application.

[edit]Detent torque

Synchronous electric motors using permanent magnets have a remnant position holding torque (called detent torque or cogging, and sometimes included in the specifications) when not driven electrically. Soft iron reluctance cores do not exhibit this behavior.

[edit]Stepper motor ratings and specifications

Stepper motors nameplates typically give only the winding current and occasionally the voltage and winding resistance. The rated voltage will produce the rated winding current at DC: but this is mostly a meaningless rating, as all modern drivers are current limiting and the drive voltages greatly exceed the motor rated voltage.
A stepper's low speed torque will vary directly with current. How quickly the torque falls off at faster speeds depends on the winding inductance and the drive circuitry it is attached to, especially the driving voltage.
Steppers should be sized according to published torque curve, which is specified by the manufacturer at particular drive voltages or using their own drive circuitry.

[edit]Applications

Computer-controlled stepper motors are a type of motion-control positioning system. They are typically digitally controlled as part of an open loop system for use in holding or positioning applications.
In the field of lasers and optics they are frequently used in precision positioning equipment such as linear actuatorslinear stagesrotation stagesgoniometers, and mirror mounts. Other uses are in packaging machinery, and positioning of valve pilot stages for fluid control systems.

[edit]Stepper Motor System

A Stepper Motor System consists of three basic elements, often combined with some type of user interface (Host Computer, PLC or Dumb Terminal):
  • Indexers - The Indexer (or Controller) is a microprocessor capable of generating step pulses and direction signals for the driver. In addition, the indexer is typically required to perform many other sophisticated command functions.
  • Drivers - The Driver (or Amplifier) converts the indexer command signals into the power necessary to energize the motor windings. There are numerous types of drivers, with different voltage and current ratings and construction technology. Not all drivers are suitable to run all motors, so when designing a Motion Control System the driver selection process is critical.
  • Stepper Motors - The stepper motor is an electromagnetic device that converts digital pulses into mechanical shaft rotation. Advantages of step motors are low cost, high reliability, high torque at low speeds and a simple, rugged construction that operates in almost any environment. The main disadvantages in using a stepper motor is the resonance effect often exhibited at low speeds and decreasing torque with increasing speed.[4]

stepping motor calculation


His section covers all types of motors, from the elementary circuitry needed to control a variable reluctance. H-bridge circuitry needed to control a bipolar permanent magnet motor. Each class of drive circuit illustrated with practical examples. However, these examples are not intended to be a comprehensive catalog of commercially available control circuits, nor is it a substitute for the component data sheets by the manufacturers of these items are found.

Related Articles.
Analyze operational mechanism and step sequence of stepper motor drive.
More about step motor.
This section covers the most elementary control circuitry for each class of vehicles. All of these circuits assume that the motor drive voltage is the voltage of the motor, and this is a significant performance Motor Co., the next in the drive circuit, current limiting coverage of operational efficiency. high drive circuit.

Variable reluctance motor.

General controller for variable reluctance stepping motors are variations on the outline shown in Figure 3.1.

Figure 3.1.

Figure 3.1 boxes are used to represent switches; controller, not shown, is responsible for the control signals for opening and closing the switch at the right time to turn on the engine. In many cases, the control unit is connected to a computer or controller interface directly with software generating the outputs required to control the switches. But in other cases, an additional control circuit is introduced, sometimes not!

Motor windings, solenoids and similar devices are all inductive loads. The current through the motor winding is not on or off, without immediately with endless tensions! When the switch controlling a motor winding is closed, allowing current to flow results of this is to slowly increase the current. If the switch for a motor winding is the result of the voltage spike that can seriously damage the switch unless care in order to treat it properly.

There are two basic ways of dealing with this voltage spike. One is to bridge the motor winding with a diode, and the other is to bridge the motor winding capacitor with Figure 3.2 shows the two methods.

Figure 3.2.

Diodes, as shown in Figure 3.2, to be able to carry the full current through the motor winding. It will be executed in a short period of closed switches, the current through the winding decreases. If such relatively slow diode typically used family 1N400X rapidly in conjunction with the switch, it may be necessary to provide a small capacitor, the book parallel with a diode.

Capacitor in Figure 3.2 is more complex design problems! If the switch is closed, the capacitor to discharge to ground through the switch and the switch must be able to handle these short spike discharge. Resistor in series with the capacitor or in series with the power supply to limit the current when the switch will be stored energy in the motor winding turn on the capacitor to a voltage higher than the voltage, and. need to withstand this voltage. To achieve the size of the capacitor, we equate the two formulas for the energy stored in the resonant circuit.

C P = V2 / 2

P = L I2 / 2

Location:.

P - stored energy in watt seconds or coulomb volts.

C - capacitance in farads.

V - voltage across the capacitor.

L - inductance of motor winding in Henry.

I - current through the motor winding.

The solution for the minimum size of capacitor required to prevent overvoltage switch easily.

C> I2 L / (VB - Vs) 2

Location:.

VB - the breakdown voltage of the switch.

Vs - pressure.

Variable reluctance motors have variable inductance which depends on the angular shaft. So in the worst case would be used to select a capacitor motor inductances are frequently poorly documented, if at all.

Motor winding and capacitor form a resonance circuit in combination. If the drive motor at frequencies near the resonant frequency of this circuit, the current through the motor windings and the motor torque exerted by the engine is quite different from the steady state voltages less! The resonance frequency.

f = 1 / (2 (L C) 0.5).

Again, the electrical resonant frequency of the variable reluctance angle from the shaft. When a variable reluctance motor with the excitation square wave current pulses near the motor winding is operable to cause the magnetic field at the resonant frequency is zero and the greatly reduce the torque available!

Unipolar and hybrid permanent magnet motors.

Joint inspections for unipolar stepping motors are variations on the scheme shown in Figure 3.3.

Figure 3.3.

In Figure 3.3, Figure 3.1 boxes are used to represent switches, control unit, not shown, is responsible for the control signals for opening and closing the switch at the right time to turn on the engine. The control unit is the interface to computer applications or software directly generating the outputs needed to control the switches.

As with drive circuitry for variable reluctance motors, we have created with the inductive kick when each of these switches is turned off deal. Again, we may shunt the inductive kick using diodes, but now, 4 diodes are required, as shown in Figure 3.4.