GB2305313A - Reduced noise controller for a switched reluctance machine using active noise cancellation - Google Patents

Reduced noise controller for a switched reluctance machine using active noise cancellation Download PDF

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GB2305313A
GB2305313A GB9618094A GB9618094A GB2305313A GB 2305313 A GB2305313 A GB 2305313A GB 9618094 A GB9618094 A GB 9618094A GB 9618094 A GB9618094 A GB 9618094A GB 2305313 A GB2305313 A GB 2305313A
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pulse
controller
stator
phase winding
output
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GB2305313B (en
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Steven Paul Randall
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Nidec SR Drives Ltd
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Switched Reluctance Drives Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P25/00Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details
    • H02P25/02Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details characterised by the kind of motor
    • H02P25/08Reluctance motors
    • H02P25/092Converters specially adapted for controlling reluctance motors
    • H02P25/0925Converters specially adapted for controlling reluctance motors wherein the converter comprises only one switch per phase

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Electric Motors In General (AREA)

Abstract

A reduced vibration and reduced noise controller for a switched reluctance machine system has a circuit 44a-c that monitors firing signals which are used to energize a phase winding in the switched reluctance machine over an angular period of rotor rotation. When the firing signals indicate that a predefined switching event, causing a change in flux, has occurred, one or more timed voltage pulses (60, Fig 6) are applied to the phase winding at predetermined points in time following the predefined switching event. The timed voltage pulses induce vibration forces in a motor which actively cancel unwanted vibrations in the motor system, thus reducing unwanted vibrations and acoustic noise. The machine may be a rotary or linear motor or generator. Details of the controller circuit 44 are described (Figs 12 and 13).

Description

REDUCED NOISE CONTROLLER FOR A SWITCHED RELUCTANCE MACHINE USING ACTIVE NOISE CANCELLATION This invention relates to converters for reluctance machines and more particularly to switched reluctance machines. In particular, the present invention relates to a method and apparatus for reducing acoustic noise and unwanted vibration in switched reluctance machine systems.
In general, a reluctance machine is an electric machine in which torque is produced by the tendency of its movable part to move into a position where the inductance of an excited winding is maximized.
In one type of reluctance machine the energisation of the phase windings occurs at a controlled frequency. These machines are generally referred to as synchronous reluctance machines. In a second type of reluctance machine, circuitry is provided for detecting the angular position of the rotor and energizing the phase windings as a function of the rotor's position. This second type of reluctance machine is generally known as a switched reluctance machine. Although the description of the present invention is in the context of a switched reluctance machine, the present invention is applicable to all forms of reluctance machines, including synchronous and switched reluctance motors, synchronous and switched reluctance generators, as well as to other machines that have phase winding arrangements similar to those of switched reluctance machines.
The general theory of design and operation of switcned reluctance machines is well known and discussed, for example in The Characteristics, Design and Applications of Switched Reluctance Motors and Drives, by Stephenson and Blake and presented at the PCIM '93 Conference and Exhibition at Nürnberg, Germany, June 21-24, 1993.
Figure 1 illustrates an exemplary switched reluctance machine having a stator 10 including six projecting stator poles 11-16 that define a principal stator axis (extending outwardly from Figure 1). A rotor 18 is coupled to a rotatable shaft co-axial with the principal axis of the stator. In Figure 1, the rotor is positioned within the bore formed by the stator and the inwardly pointing stator poles 11-16 and is mounted on a shaft (not shown) that is mounted on bearings and is free to rotate. The rotor 18 has a number of outwardly extending projections 19 which form the rotor poles.
Associated with each stator pole is a wound coil of wire 17. In the illustrated machine, the two coils of opposing stator poles are coupled together to form three phase windings: phase A (coils from poles 11 and 14); phase B (coils from poles 12 and 15); and phase C (coils from poles 13 and 16). In the example illustrated in Figure 1, when phase A is energized, electric current will flow through its coils such that stator pole 11 becomes, for example, an inward-pointing electro-magnet of positive polarity and stator pole 14 becomes an inward-pointing electro-magnet of negative polarity.
These electromagnets will produce a force of attraction between the energized stator poles and the rotor poles which will produce a torque. By switching energisation from one phase to another, the desired torque may be maintained regardless of the angular position of the rotor. By switching the energisation of the phase windings to develop positive torque, the machine may be operated as a motor; by energisation of the phase windings to develop a retarding torque the machine may be operated as a brake or generator.
For the sake of illustration, a simple form of machine having six stator poles and two rotor poles (i.e. a 6/2 machine) is shown. Those skilled in the art will recognize that other combinations are possible. The present invention applies equally to such machines.
Moreover, the present invention is applicable to inverted machines, where the stator is positioned within the bore of an outer rotating rotor, and to linear machines, where the movable member moves linearly with respect to the stator. In the art the movable member of a linear motor is also commonly referred to as a rotor.
When a switched reluctance machine is running, the torque (and other machine performance parameters) may be adjusted by monitoring the rotor's position, energizing one or more phase windings when the rotor is at a first angular position, referred to as the "turn-on angle," and then de-energizing the energized windings when the rotor rotates to a second angular position, referred to as the "turn-off angle." The angular distance between the turnon angle and the turn-off angle is known as the "conduction angle." At standstill and at low speeds, the torque of a switched reluctance machine can be controlled by varying the current in the energized phases over the period defined by the turn-on and turn-off angles. When current chopping is used such current control can be achieved by chopping the current using a current reference with phase current feedback.Such current control is referred to as "chopping mode" current control. Alternatively, pulse width modulation (PWM) voltage control may be used.
Chopping mode current control and PWM control strategies are generally understood and chopping mode current control is generally described below.
Figure 2A generally illustrates an exemplary current in a phase winding when chopping mode current control is used when the switched reluctance machine is operating as a motor. As is illustrated in Figure 2A, the phase is initially energized at a point corresponding to the turnon angle and current begins to increase until it reaches the current reference. At that point, the current is chopped by a controller, de-energizing the phase winding.
The current drops until the phase winding is again reenergized and the process repeats. As indicated in Figure 2A, in the chopping mode, the overall shape of the current waveform defines a substantially rectangular region where the beginning and end points of the rectangular region generally correspond to the turn-on and turn-off angles.
As the angular speed of the motor increases, a point is reached where there is insufficient time for more than a single pulse of current to occur during each phase period. Accordingly, at these speeds pulse width modulation or chopping strategies are ineffective. At these speeds, the torque of the motor is commonly controlled by controlling the position and duration of the voltage pulse applied to the winding during the phase period. Because a single pulse of voltage is applied during each phase period, this form of control is referred to as "single-pulse control." Figure 2B illustrates an exemplary current waveform for a phase current in a switched reluctance motor operating in the single-pulse mode.In the single-pulse mode, the torque level is defined by the magnitude and shape of the current pulse which, in turn, is determined by: the angular speed of the rotor; the point during the rotor's rotation when voltage is applied to the phase winding (i.e., the turn-on angle); the point during the rotor's rotation when the application of voltage to the winding is halted (the turn-off angle); and, the magnitude of the voltage applied to the phase winding. Figure 2B generally illustrates the approximate positions of the turn-on and turn-off angles and the duration of the conduction angle for the exemplary waveform.
Figure 3 generally illustrates power circuitry that may be used to control the energisation of a phase winding for both "chopping mode" and "single-pulse mode" current control.
Referring to Figure 3, a phase winding 30 is coupled to a source of DC power provided through a DC bus, comprising positive rail 31 and negative rail 32, by upper switching device 33 and lower switching device 34.
Return diodes 35 and 36 are provided to provide a current path from the DC bus through the phase winding 30 when switching devices 33 and 34 are opened. As those skilled in the art will appreciate, phase winding 30 is generally energized by closing switches 33 and 34, thus coupling the phase winding to the DC bus.
The circuit illustrated in Figure 3 may be used to implement chopping mode current control as follows: When the rotor reaches an angular position that corresponds to the turn-on angle, switches 33 and 34 are closed. The phase winding 30 is then coupled to the DC bus, causing an increasing magnetic flux to be established in the motor. It is the magnetic field associated with this flux which acts on the rotor poles to produce the motor torque. As the magnetic flux in the machine increases, current flows from the DC supply as provided by the DC bus through the switches 33 and 34 and through the phase winding 30.
The current flowing through the phase winding 30 is sensed by a current sensor or other device (not shown) that provides a signal corresponding to the magnitude of the phase current. The signal corresponding to the phase current is then compared to a signal representing a reference current. When the actual current in the phase winding exceeds the reference current, the phase winding is de-energized, by opening one or both of switches 33 and 34. When both switches 33 and 34 are opened, the current in phase winding 30 transfers from switches 33 and 34 and begins to flow through diodes 35 and 36. The diodes 35 and 36 then apply the DC voltage appearing on the DC bus in the opposite sense, causing the magnetic flux in the machine (and therefore the phase current) to decrease.When the current decreases below the reference current by a predetermined value, the phase is reenergized and the current again begins to increase.
The process of energizing the phase winding 30, deenergizing it when the phase current exceeds the reference current, and re-energizing it when the phase current drops below the reference current by a predetermined value, repeats itself during the interval defined by the turn-on and turn-off angles. Typically, when the rotor reaches an angular position corresponding to the turn-off angle, switches 33 and 34 are opened, and the phase current is allowed to drop to zero. At that point the diodes 35 and 36 turn off, disconnecting the phase winding from the power supply.
As those skilled in the art will appreciate, the above discussion of current control is but one example of a chopping mode current strategy that may be used and that alternate strategies, e.g., strategies including freewheeling, may also be used.
The circuit illustrated in Figure 3 may be also used to implement single-pulse mode control. When the motor is operating in the single-pulse mode, the control strategy is straightforward. When the rotor reaches an angular position that corresponds to the turn-on angle, switches 33 and 34 are closed. The phase winding 30 is then coupled to the DC bus, causing an increasing magnetic flux to be established in the motor. As the magnetic flux in the machine increases, current flows from the DC supply as provided by the DC bus through the switches 33 and 34 and through the phase winding 30. When the rotor reaches an angular position corresponding to the turn-off angle, switches 33 and 34 are opened and the current in phase winding 30 transfers from switches 33 and 34 and begins to flow through diodes 35 and 36.As in the chopping mode, diodes 35 and 36 then apply the DC voltage appearing on the DC bus in the opposite sense, causing the magnetic flux in the machine (and therefore the phase current) to decrease. Again, the above description is but one example of how the circuitry of Figure 3 may be used to implement single-pulse mode current control.
Alternative strategies, such as strategies employing freewheeling, may also be used.
As the above discussion indicates, as a switched reluctance motor (or generator) operates, magnetic flux is continuously increasing and decreasing in different parts of the machine. This changing flux will occur in both the chopping mode and the single-pulse mode. The changing flux results in fluctuating magnetic forces being applied to the ferromagnetic parts of the machine.
These forces can produce unwanted vibration and noise.
One major mechanism by which these forces can create noise is the ovalising of the stator caused by forces normal to the air-gap. Generally, as the magnetic flux increases along a given diameter of the stator, the stator is pulled into an oval shape by the magnetic forces. As the magnetic flux decreases, the stator springs back to its undistorted shape. This ovalising and springing back of the stator can cause unwanted vibration and produce audible noise.
In addition to the distortions of the stator by the ovalising magnetic forces, unwanted vibration and acoustic noise may also be produced by abrupt changes in the magnetic forces in the motor. These abrupt changes in the gradient of the magnetic flux (i.e., the rate of change of the flux with time) may be referred to as "hammer blows" because the effect on the stator is similar to that of a hammer strike. Just as a hammer strike may cause the stator to vibrate at one or more natural frequencies (determined by the mass and elasticity of the stator) the abrupt application or removal of magnetic force can cause the stator to vibrate at one or more of its natural frequencies. In general, the lowest (or fundamental) natural frequency dominates the vibration, although higher harmonics may be emphasized by repeated excitation at the appropriate frequency.
In addition to the stator distortions resulting from the ovalising and hammer blow phenomena described above, the fluctuating magnetic forces in the motor can distort the stator in other ways, as well as distorting the rotor and other ferromagnetic parts of the machine system. These additional distortions are another potential source of unwanted vibration and noise.
Although the problem of unwanted acoustic noise and vibration has been recognized, known control systems for reluctance motors do not adequately solve the problem.
For example, the general problem of acoustic noise in switched reluctance motor systems is discussed in C.Y. Wu and C. Pollock, "Analysis and Reduction of Vibration and Acoustic Noise in the Switched Reluctance Drive," Proceedinss of the IAS '93 pp. 106-113 (1993) . In general, the method suggested by Wu and Pollock involves control of the current in the phase winding such that the current is controlled in two successive switching steps with the second switching step occurring approximately one-half of a resonant cycle after the first where the resonant cycle is defined by the natural frequency of the machine. This approach is typically implemented by switching off one of the power devices at a first point in time to cause a first stepped reduction in applied voltage, and then later switching off the second power device. Between the time when the first switching device is switched off and the second switching device is switched off, the current is allowed to freewheel through a freewheeling diode and the second switching device.
The two-step voltage-reduction approach to noise reduction in switched reluctance motors discussed above suffers from several limitations and disadvantages. One such limitation is that in many cases the two-step voltage-reduction approach requires precise switching of the switching devices within the interval defined by the turn-on and turn-off angles (i.e., the angular interval during which the phase winding is energized). Still further, the two-step voltage-reduction approach limits the flexibility to dynamically adjust the freewheeling period for each phase cycle. As discussed above, in the two-step voltage-reduction approach, the duration of the freewheeling period is optimized to reduce the noise produced by the system. There are many instances when it would be desirable to optimize the freewheeling duration according to other criteria.
An additional limitation of the two-step voltagereduction approach, and other approaches that utilize freewheeling to reduce noise, is that, since there is typically only one freewheeling period per phase energisation cycle, freewheeling generally reduces noise produced by only a single frequency of the motor system.
Freewheeling to reduce noise at one frequency does not necessarily reduce noise produced by other frequencies in motor systems that have more than one frequency.
Accordingly, such approaches do not reduce the amplitude at the frequencies at which unwanted noise is produced.
A further disadvantage with the freewheeling approaches is that there are several motor control systems (e.g., Hcircuits with a split capacitor, third-rail circuits, ring circuits and the like) that simply do not allow freewheeling. These systems cannot use freewheeling to reduce noise.
The present invention overcomes many of the limitations and disadvantages associated with known systems and provides a unique circuit for energizing the winding phases of a switched reluctance motor in a particular manner to reduce unwanted noise and vibrations produced by the motor.
The present invention is defined in the accompanying independent claim. Preferred features are recited in the dependent claims.
In one form the invention provides a controller for a switched reluctance machine having a rotor, a stator and at least one energisable phase winding, the controller comprising: monitoring means for monitoring the energisation of the phase winding and for generating an output signal in response to a predetermined switching event causing a change in the flux generated by the winding; a pulse generator responsive to the output signal from the monitoring means to generate at least one pulse signal of a predetermined duration after a predetermined delay; a voltage source having a electrical power output; switch means arranged to control energisation of the phase winding by application of the output from the voltage source, the switch means being responsive to the pulse signal to supply the said output to the phase winding, wherein the pulse generator is operable to generate the pulse signal subject to the said delay after the said switching event to induce forces in the stator that counter a vibrational force in the stator created as a result of the change in flux.
Referring again to Figure 3, because of the inherently inductive nature of the windings in a switched reluctance machine, the current continues to flow in the winding after the switches 33 and 34 are opened. The current flows through the two diodes 35 and 36, returning energy to the source. Because these diodes are conducting, the lower end of the phase winding 30 is now at +V and the upper end of the phase winding is at -V (all assuming that the diodes are ideal and have no voltage drop when they are conducting). It will be seen that the voltage across the winding has been reversed by the action of these diodes. This reverse voltage forces the flux to decay towards zero (with approximately the same rate of change as it had when the switches were conducting, but now of opposite sign).When the flux reaches zero, the current has also decayed to zero and the diodes then cease to conduct and the winding is then essentially decoupled from the voltage bus. As mentioned above, the sudden changes in the rate of change of flux impose sudden forces on the stator that can give rise to vibrations.
One such occasion is the moment at which the voltage is reversed across the winding. To a lesser extent, the change in flux when the switches are arranged to allow the current to freewheel will also give rise to vibrational forces.
In one embodiment of the present invention, a control circuit for a switched reluctance machine controls the energisation of the phase windings by applying one or more appropriately timed auxiliary coil excitation pulses to one or more phase windings. These auxiliary pulses produce a change of flux in the machine that tends to produce vibrations in the motor which actively cancel and reduce unwanted vibrations in the motor system, thus reducing the noise of the system. This embodiment may be implemented through use of a circuit comprising first and second monostables where the first monostable is triggered by a specific switching event, such as the deenergisation of the phase winding. Once triggered, the first monostable produces an output pulse terminating a predetermined time after the first monostable was triggered.The termination of the output pulse from the first monostable is used to trigger the second monostable to produce an output pulse that is used to energize the phase windings. The energisation of the phase windings in response to the output of the second monostable produces vibration forces in the motor that actively cancel unwanted vibrations. It is considered that the invention is most effective by timing the auxiliary pulse so that it counters the vibrational movement in the stator after the first half cycle of vibration. As the stator is caused to flex as a result of the distorting forces imposed upon it, the first or only auxiliary pulse is best applied when the stator has undergone the first half cycle of vibration and is passing through the zerocrossing constituted by the stator in its least stressed or normal state.
In accordance with another form of the present invention, a counter is reset upon the detection of a predefined switching event, such as the de-energisation of a phase winding. The output of the counter increments in response to a fixed frequency clock. The output of the counter is compared to first and second predefined values to produce an output pulse when the output of the counter is between the first and second values. The output pulse is used to energize the phase winding of a switched reluctance machine to produce vibration forces that actively cancel vibrations induced by the switching event.
Active cancellation using fixed pulses as proposed by, for example Wu & Pollock, does not describe how the pulse is to be produced. In the prior art there is also a failure to recognise that, depending on the flux present in the magnetic circuit at turn-off (and hence the extent to which the stator is distorted), the amplitude of the natural frequency of vibration will vary because of the non-linear relationship between flux and force. A variable amount of energy is therefore preferable to damper the vibrations more effectively. The invention includes recognition of this fact and accordingly provides for the point at which the auxiliary pulse is switched off (T3) to be chosen accordingly.
In accordance with still other forms of the present invention, an electronic controller energizes the phase windings of a switched reluctance machine over a predefined angular period. One or more voltage pulses are applied to the phase winding at the conclusion of the angular period to induce vibration forces that actively cancel unwanted vibrations and reduce the noise produced by the system. In general, systems with only one natural frequency require only one auxiliary pulse. Additional pulses may be added to cancel additional natural frequencies.
In addition to reducing unwanted noise and vibration resulting from stator ovalising and hammer blow, the methods and structures of the present invention may be used to reduce noise and vibrations resulting from any magnetically induced vibrations in the machine, including noise and vibrations in the stator and other parts of the machine.
Other aspects and advantages of the present invention will become apparent upon reading the following detailed description given by way of example and upon reference to the drawings in which: Figure 1 illustrates an exemplary reluctance motor having a stator including six stator poles; Figure 2A generally illustrates an exemplary current in a phase winding of a switched reluctance motor when the current chopping mode of control is used; Figure 2B generally illustrates an exemplary current waveform for a phase current in a switched reluctance motor operating in the single-pulse mode of control; Figure 3 generally illustrates power circuitry that may be used to control the energisation of a phase winding of a switched reluctance machine for both chopping mode and single-pulse mode current control;; Figure 4 illustrates in block form various components that may be used to construct a control system to implement the methods of the present invention; Figure 5A generally illustrates an example of the voltage applied to a phase winding of switched reluctance motor before and after a typical switch-off point; Figures 5B and 5C respectively illustrate examples of the flux that may exist in a motor before and after the switch-off point of Figure 5A for chopping mode and single-pulse mode current control; Figure 6 generally illustrates one example of the voltage applied to a winding of switched reluctance motor before and after a typical switch-off point in one embodiment of the present invention;; Figure 7 illustrates a model of a switched reluctance motor system in the form of as a spring-mass system with damping; Figure 8 generally illustrates the effect of a sudden release of negative force on the system of Figure 7; Figure 9 generally illustrates how the method of the present invention may be used to reduce unwanted vibration in the system of Figure 7 through the application of one or more auxiliary pulses; Figure 10 generally illustrates exemplary data that resembles the forces and oscillations that would likely occur in a switched reluctance motor when an abrupt change in the gradient of the magnetic flux occurs; Figure 11 illustrates the motor system of Figure 10 when an auxiliary voltage pulse is applied in accordance with the method of the present invention;; Figure 12 illustrates in block form a circuit that may be used to construct an auxiliary controller in accordance with the present invention; and Figure 13 illustrates alternate circuitry that may be used to implement the auxiliary controller of the present invention in clocked digital systems.
Similar reference characters indicate similar parts throughout the several views of the drawings.
Turning to the drawings and referring to Figure 4, one example of a control system that may be used to implement the present invention is illustrated in block form. As illustrated, an electronic controller 40 receives signals from a rotor position transducer ("RPT") 41. The RPT 41 detects the angular position of the rotor and provides to the controller 40 signals representative of the rotor's position. In response to the rotor position signals from RPT 41, the controller 40 provides switching signals (sometimes referred to as "firing signals") to a number of switching devices 33a-c and 34a-c. The switching devices 33a-c and 34a-c are connected to the three phase windings 30a, 30b and 30c of a three phase switched reluctance motor in a manner similar to that described above in connection with Figure 3.The switching devices 33a-c, 34a-c may comprise MOSFETS, bipolar devices, or other switching devices. The switched reluctance motor may be of the type illustrated in Figure 1. RPT 41 may comprise optical, capacitative, inductive or magnetic sensors and may be of conventional construction. Other forms of position detector may monitor the electrical characteristics of the phase winding and provide a signal representative of the rotor's angular position without the use of position sensors.
In general, the electronic controller 40 responds to the position signals from RPT 41 by generating firing signals for each of the three phase windings 30a-c of the motor to switch the power devices 33a-c and 34a-c such that the phase windings 30a-30c are energized in the proper sequence over angular periods of rotor rotation to produce torque in a desired direction.
The operation of controller 40 is not critical to the present invention and may be of conventional construction. Controllers for switched reluctance motors that produce firing signals in response to rotor position signals are generally known in the art and are not discussed in detail. One of ordinary skill in the art having the benefit of this disclosure will be able to construct a suitable controller. Moreover, the precise construction of the switched reluctance motor and the arrangement of the switching devices 33a-c and 34a-c are not critical to the present invention. The methods of the present invention are generally applicable to switched reluctance motor controllers.
The firing signals from controller 40 are applied to six pairs of OR gates 42a-c. Each pair of OR gates 42a-c is associated with one of the three phases of the motor.
The outputs of the OR gates 42a-c are provided to the gates of the power switching devices 33a-c and 34a-c.
During normal operation, the controller 40 operates according to known methods to produce firing signals for the power switching devices 33a-c and 34a-c. The firing signals are passed through the appropriate OR gates 42a-c and are used to control the energisation and deenergisation of phase windings 30a-c over angular periods of the rotor's rotation and thus control the torque of the motor.
Associated with each set of OR gates 42a-c is an auxiliary pulse control circuit 44a-c. As discussed below, the auxiliary pulse control circuits 44a-c monitor the firing signals applied to OR gates 42a-c and generate auxiliary pulse signals to implement the noise reduction methods of the present invention. These auxiliary pulse signals are passed through the appropriate OR gate 42 and are applied to the power devices 33a-c and 34a-c such that the phase windings are energized in response to the auxiliary pulse signals. In accordance with one embodiment of the present invention these auxiliary pulses control the energisation of the phase winding such that unwanted vibrations and noise are reduced.
As discussed above, abrupt changes in the gradient of the magnetic flux tend to impose distorting forces on the stator, causing acoustic noise and unwanted vibrations.
The switching points of the power devices that occur when the flux, and therefore the magnetic forces, are the greatest, are the switching points most closely related to the amount of unwanted noise and vibration produced by the motor. In general, the point at which the flux is the greatest will be at a switch-off point (e.g., a point when both switching devices are opened). Typically, the switch-off point where the flux is the greatest for a given phase winding is the switch-off point that occurs when the greatest number of volt-seconds have been applied to the phase winding. In general the switch-off point will be defined by a predefined switching event.
Such an event can, for example, correspond to the opening of the upper and lower switching devices or the opening or closing of only one switching device.
When single-pulse control is used, the switch-off point that occurs at maximum flux is easily determined since the only switch-off point during each phase energisation cycle occurs at the end of the single pulse. In chopping mode, however, there may be several switch-off points, each occurring when the switches are opened to control the level of the phase current. In general, when the machine is running as a motor, the switch-off point that occurs last in time for each phase energisation period is the most significant and it is at that point that the method of the present invention may be applied to reduce noise and vibration. When a machine is running as a generator, the first switching point is generally the most significant, since the first switching point in generators generally occurs at the point of greatest flux.
The general relationship between the switch-off point of interest and abrupt changes in the gradient of the magnetic flux is illustrated in Figures 5A-5C. Figure 5A generally illustrates an example of the voltage applied to a winding of a switched reluctance motor before and after a typical switch-off point. The switch-off point 51 of Figure 5A may represent the switch-off point of interest for a motor operating in either chopping or single-pulse mode. As discussed generally above, prior to the switch-off 51 point the DC voltage from the DC supply bus is applied to the phase winding through at the switching devices such that the voltage across the phase winding is +V, where V is the magnitude of the DC supply.
At the switching point 51 the switches are opened and the +V voltage applied through the switches is reversed and a -V voltage is applied to the phase windings through the diodes.
Figures 5B and 5C generally illustrate examples of the flux that may exist in a motor before and after the switch-off point 51 of Figure 5A. Figure 5B generally illustrates the flux that may exist in the motor when chopping mode current control is used and Figure 5C generally illustrates the flux that may exist in the motor when single-pulse mode current control is used.
Figures 5B and 5C are not drawn to the same time scale as Figure 5A. It should be noted that the flux curves of Figures 5B and SC have been exaggerated to some extent and are provided for illustrative purposes only. They are not intended to reflect accurately and exactly the flux in a reluctance machine.
Referring to Figure SB, prior to switch-off point 51, the flux in the motor varies as the switching devices are chopped on and off, but generally increases from a point corresponding to the turn-on angle until the switch-off point 51, which corresponds to the turn-off angle, at which point the gradient of the magnetic flux in the machine abruptly changes and begins to drop off dramatically. In a similar manner, when single-pulse mode control is used, the flux in the motor will increase from a point corresponding to the turn-on angle to the switch-off point 51, at which point the gradient of the flux will change abruptly and the flux begin to decrease.
It may be noted from Figures 5A-5C, therefore, that at the switch-off points of interest the change in the gradient of the magnetic flux in the machine is sharp and abrupt.
As generally discussed above, the abrupt changes in the gradient of the flux that occur at the switch-off point cause sudden changes in magnetic forces that tend to cause unwanted noise and vibration. In one embodiment of the present invention, these sudden changes are actively cancelled through the application of the auxiliary voltage pulses. These auxiliary pulses are timed such that their effect is to produce vibrational forces in the machine system which tend to actively cancel the stator vibration that would otherwise be produced.
Referring to Figure 4, when active cancelling is used, auxiliary pulse controllers 44a-c receive as inputs the respective phase firing signals from controller 40 and provide auxiliary firing signals that are passed to the respective power switching devices via the pairs of OR gates 42a-42c. Auxiliary pulse controllers 44a-c monitor the firing signals and determine when the appropriate switch-off point for the respective phase has occurred. When the appropriate switch-off point for the respective phase is detected, the auxiliary pulse controller 44 then provides one or more timed voltage pulses that act as auxiliary firing signals to apply one or more auxiliary voltage pulses to the motor.These auxiliary pulses occur at a predetermined point in time following the switch off point and produce forces in the motor that actively cancel unwanted oscillations resulting from switch-off and can discriminately reduce the amount of unwanted noise.
To achieve particularly effective noise cancellation the duration of the pulse is determined according to the energy associated the natural frequency of vibration of the stator. The possible durations of the pulse are stored in a look-up table in the controller 44 a.c. In this embodiment, for each firing pulse the appropriate pulse durations for varying speeds and loads on the machine may be determined empirically from test runs of the machine and stored in the look-up table in the controller 44 a.c. The look-up table may be contained within a read-only-memory in the controller 44 a.c.
The values of the pulse durations for different operating conditions are developed so that the pulse duration optimally cancels the noise for a given set of operating conditions. Alternative approaches could use pulse durations computed in real-time to select the amount of energy required for optimal damping of the stator.
The general concept of the present invention is illustrated by the voltage waveform illustrated in Figure 6. Figure 6 generally illustrates one example of the voltage applied to a phase winding of a switched reluctance motor before and after a typical switch-off point 51. As Figure 6 illustrates, prior to switch-off point 51, the voltage applied to the winding is the +V voltage of the power supply. At the switch-off point 51, the +V voltage provided through the switching devices is removed and a -V voltage is applied through the diodes.
According to the present invention, an auxiliary voltage pulse 60 defined by initiating point 61 and terminating point 62 is applied to the phase winding after switch-off point 51. In the embodiment of Figure 4, this auxiliary voltage pulse may be provided by the appropriate auxiliary controller 44 providing auxiliary firing pulses to switch on the appropriate switching devices 33 and 34 for the duration of the auxiliary pulse.
Just as switching that occurs at switch-off point 51 produces an abrupt change in the gradient of the magnetic flux in the machine that has the effect of a hammer blow, the switching that occurs at initiating and terminating points of auxiliary pulse 60 also produces an abrupt change in the gradient of the magnetic flux in the machine that has the effect of an auxiliary hammer blow.
Through proper timing of auxiliary pulse 60, the auxiliary hammer blow may be applied to the stator such that it effectively cancels (or significantly reduces) any vibration caused by the initial change. This effect may be understood by considering the auxiliary hammer blow as causing substantially the same vibration as the initial hammer blow but in anti-phase. The sum of these vibrations is therefore small, and the resulting vibration (and acoustic noise) is therefore reduced.
The precise number of auxiliary pulses and the timing of their application depend on the structure and particular geometry of the motor system of interest. Accordingly, it may be desirable to determine empirically how many auxiliary pulses should be applied and when. In general, however, for machines with only one natural frequency, one properly timed auxiliary pulse may be sufficient to significantly reduce unwanted vibration. For machines and structures with more than one natural frequency, more than one pulse may be required, with each timed to correspond to one of the natural frequencies.
Although the timing of the auxiliary pulse or pulses will depend on the particular machine of interest, the timing of the pulses may occur at a constant time interval after the switch-off point, regardless of the speed or torque output of the motor. This is because the timing and number of pulses is closely related to the natural frequencies of the motor, and the natural frequencies of the motor do not vary substantially with speed or torque output variations. Accordingly, the application of auxiliary pulses in accordance with this embodiment of the present invention is related to the length of time that has passed since the switch off point of interest, not to the angular position of the rotor.This is different from the application of an energizing voltage pulse to the motor which is generally initiated and terminated in response to the rotor position (e.g., the turn-ON and turn-OFF angles).
While the precise timing of the auxiliary pulses is generally best determined by empirical analysis of the motor of interest, some general guidelines can be provided. Because the nature of the present approach involves the generation of anti-phase hammer blows through the application of auxiliary voltage pulses, the simplest way to produce an anti-phase hammer blow is to cause an abrupt change in the gradient of the flux to occur approximately one resonant-frequency-half-cycle (or an odd integer multiple of such a half cycle) after the change in flux that produces the original hammer blow for each significant resonant frequency of the motor.
Because the natural frequencies of the reluctance machine will not substantially change with the speed and torque output of the machine, the timing of the auxiliary pulses can be set and does not have to vary with the speed of the rotor. In general, the stiffer the stator, the higher the natural frequency and the faster the auxiliary pulse(s) must be applied to cancel the unwanted vibration effectively.
One natural frequency of the machine will correspond roughly to the natural frequency at which the stator back-iron vibrates under the influence of an abrupt change in the magnetic forces in the motor. To analyze the natural frequency of the stator back-iron, it may be helpful to model the machine as a spring-mass system with damping. Such a model is generally illustrated in Figure 7 where element S represents a spring having a stiffness in terms of kg/s2 or N/m, element M represents the mass of the system in kg (principally the stator pole mass), and element D represents a damping element having a damping effect in terms of kg/s or N/m/s. Using a calculated stator pole mass as a nominal figure for element M, the appropriate spring stiffness S and damping factor D may be calculated from measured accelerometer data.Also shown in Figure 7 is a reference line 70 that may be used to determine the relative deflection of the mass member M and a force line F, showing the direction of positive force.
Figure 8 generally illustrates the effect of a sudden release of negative force on the system of Figure 7. In a switched reluctance motor this generally corresponds to the release of force that occurs when there is a rapid change in the flux gradient, allowing an ovalised stator to spring back to its original shape. The lower curve in Figure 8 illustrates an abrupt change in force from approximately -1500 Newtons to zero. From the bottom up, the curves above the Force curve represent the Deflection, Velocity and Acceleration of the system over time from a set reference point. As Figure 8 indicates, when an applied force is abruptly removed from the system the system will accelerate upwards initiating classical damped harmonic motion. In a motor system, the oscillation indicated by Figure 8 represents the unwanted vibrations which often produce unwanted noise.
-Figure 9 generally illustrates how the method of the present invention may be used to reduce unwanted vibration in the system of Figure 7 through the application of one or more auxiliary pulses. Figure 9 shows the use of an auxiliary pulse 90 that produces a changed magnetic force in the motor represented by the force pulse 90 in the force curve of Figure 9. As an examination of Figure 9 indicates, when this auxiliary pulse 90 is properly timed, it almost immediately cancels the oscillation introduced by the original change in force. As a comparison of the Acceleration, Deflection and Velocity curves of Figures 8 and 9 indicate, the application of auxiliary pulses, such as pulse 90, can quickly and effectively eliminate unwanted vibration.
In the example of Figure 9 the motor system was modelled such that it had a mass of 0.16 kg, a stiffness of 30.5x106 N/m and a Damping factor of 142 N. The force pulses had a magnitude of approximately -1500 N. For such a system the auxiliary force pulse 90 in the example of Figure 9 begins at a point in time 80x10-6 seconds after the end of the original force pulse and ends at a point in time 151x10-6 seconds after the end of the original forte pulse. These values are exemplary only and are provided for purposes of illustrating the method of the present invention. The number and timing of auxiliary pulses for motor systems other that the one modelled in the example of Figure 9 may vary significantly from the illustrative values provided herein.
Figures 8 and 9 illustrate an idealised, modelled, case where the auxiliary pulse is fairly rectangular. In an actual switched reluctance motor systems, these forces will not be rectangular but will instead vary in a less dramatic fashion. Figure 10 generally illustrates exemplary data that more closely resembles the forces and oscillations that would likely occur in a switched reluctance motor. In Figure 10 a Flux curve representing the flux in the machine has been added below the Force curve.
The Flux curve in Figure 10 illustrates the flux in the machine from the point the phase winding of interest is energized at time T,, to the point where the phase winding of interest is de-energized at the switch-off point T1.
As illustrated in Figure 10, after the phase winding is energized at T,, the flux in the machine will begin to increase and will continue to increase until the switch off point T1 at which point the gradient of the flux will abruptly change and the flux begins to decrease. As the Force curve of Figure 10 indicates, this abrupt change in the gradient of the flux produces a change in the forces in the motor causing the oscillation and unwanted vibration represented by the Deflection, Velocity, and Acceleration curves of Figure 10.
Figure 11 illustrates the reaction of the system whose responses are shown in Figure 10 when an auxiliary voltage pulse is applied in accordance with the method of the present invention. As illustrated in Figure 11, the Force and Flux curves are generally the same as for Figure 10 up to the switch-off point T1. In Figure 11, after the switch-off point Tl, an auxiliary voltage pulse is applied to the phase winding in accordance with the present invention at a time T2. The auxiliary voltage pulse has a duration extending from T2 to T3. Referring to the Flux curve of Figure 11 it may be noted that the flux begins to decrease abruptly at point Tl, but then abruptly begins to increase at point T2 as a result of the application of the auxiliary voltage pulse.The flux will continue to increase until point T3, which corresponds to the end of the auxiliary voltage pulse.
At point T3, the flux again abruptly begins to decrease.
The abrupt changes in the gradient of the flux resulting from the application of the auxiliary voltage pulse produce corresponding abrupt changes in the forces in the motor which tend to cancel the unwanted vibration, as indicated by the Acceleration, Velocity and Deflection curves of Figure 11.
In the illustrative examples of Figures 10 and 11 the motor system is modelled to have a mass of 0.16 kg, a stiffness of 30.5x106 N/m, a damping factor of 142 N/m/s, and a flux linkage of 330x10-3 WbT. In the example of Figure 11, the switch-off point occurs at a time T1 that occurs 1000x10-6 seconds after the phase winding is energized at time T,. To produce the desired change in flux, the auxiliary voltage pulse is applied at a point T2 1085x10-6 seconds after To and terminated at a point in time 1155x10-6 seconds after T,. The values for the examples of Figures 10 and 11 are exemplary only and are provided to clarify the present invention.
While the above examples are limited to situations where a single auxiliary voltage pulse is used to reduce unwanted vibration, the method of the present invention allows for the application of multiple auxiliary pulses.
As discussed above, for switched reluctance motor systems with more than one natural resonance frequency, it may be necessary to provide more than one auxiliary voltage pulse. Such multiple natural resonance frequencies may occur in asymmetrical (e.g., square or the like) machines. In general, the timing of the additional auxiliary voltage pulses may be determined using the methods set out above.
One significant advantage of using auxiliary pulses to reduce unwanted vibration is that any unwanted vibrations caused by the original hammer blow can be cancelled quickly. As discussed above, a properly timed pulse can eliminate unwanted vibration rapidly, in approximately one-half of the period of the natural frequency of the machine. This quick cancellation of the unwanted pulses can be quite significant as the speed of the machine increases, and as the frequency at which the phase winding of interest is energized approaches the natural frequency or frequencies of the machine. In general, the use of auxiliary pulses in accordance with the present invention, reduces noise and unwanted vibrations much faster than known systems that use freewheeling only to reduce unwanted vibrations.Moreover, machines which have a mechanically asymmetric construction may have different natural frequencies associated with each phase of the machine. The present invention, unlike known systems, allows for the application of the appropriate auxiliary pulse for each of the phases by suitable programming of the auxiliary pulse generator.
Figure 12 illustrates in block form one example of a circuit that may be used to construct an auxiliary controller 44 to implement the method of the present invention. It will be generally understood that Figure 12 illustrates exemplary circuitry for only one phase winding, and the circuitry would be repeated for the other phase windings, using parameter values appropriate to each phase. Control circuit 44 of Figure 12 includes a decoder circuit 120 that receives the firing signals for the upper and lower power switching devices 33 and 34 for the phase windings corresponding to the controller.
Decoder circuit 120 monitors the firing signals and produces a pulse output signal at the appropriate switchoff point. Generally the switch-off point may be detected by sensing a predefined switching event as reflected by the firing signals, e.g., the point when both the top and bottom power switched are commanded to turn OFF. The pulse produced by decoder 120 is applied to the Trigger input (T) of a first edge-triggered monostable 121. In response to a rising edge at its trigger input, edge triggered monostable 121 produces a voltage pulse that has a duration that is proportional to the signal applied to the pulse-width input of monostable 121.In the embodiment of Figure 12, the time signal applied to the pulse-width input of monostable 121 is selected to correspond to the desired predetermined time interval between the switching event or switch-off point of interest and the initiation of the auxiliary voltage pulse.
The output of edge triggered monostable 121 is applied to the Trigger input of falling edge triggered monostable 122. Similar to edge triggered monostable 121, falling edge triggered monostable 122 produces a voltage pulse at its output in response to a falling edge appearing at its Trigger input. The duration of the pulse produced by monostable 122 is proportional to the signal that appears at its pulse-width input. In the embodiment of Figure 12, the signal applied to the pulse-width input of monostable 122 is selected to correspond to the desired duration of the auxiliary pulse. The output of monostable 122 is split to form two outputs (for power devices 34 and 35) and is applied to the power devices through the OR gates 42, as illustrated in Figure 4.
The auxiliary controller 44 of Figure 12 is but one example of a circuit that may be used to implement the methods of the present invention. Other embodiments are possible in which additional monostables and timers are used to implement auxiliary pulses that employ freewheeling or that provide more than one auxiliary pulse to the motor. Moreover, while Figure 12 illustrates the use of discrete decoders, monostables and other circuits, the present invention may be implemented in a controller that uses one or more ASICs, microcontrollers or microprocessors. For example, all of the circuitry contained in the dashed box of Figure 12 may be implemented in a single microcontroller, such as the Motorola 68HCll through hardware and software. In such an embodiment, the on-chip timer port of the microcontroller can be programmed to act as the edge triggered monostables 121 and 122.
Figure 13 illustrates alternative circuitry that may be used to implement the auxiliary controller 44 of Figure 4 in clocked digital systems. As with Figure 12, Figure 13 illustrates the controller for a single phase. It is to be understood that in multi-phase systems the control circuitry of Figure 13 would be repeated for each phase, using appropriate parameter values.
In general, the circuitry of Figure 13 includes a first clocked flip-flop 130 that receives at its data input a signal that corresponds to the normal firing signals for the phase of interest. The signal corresponding to the firing signal (which may be the firing signal or a phase select signal) is provided by controller 40 (not shown) and is selected such that when it is logic 1, the corresponding phase winding is energized and when it is logic 0, the phase winding is de-energized. Accordingly, the point at which the signal transitions from logic 1 to logic 0 represents the switch-off point of interest to the present invention.
The signal corresponding to the firing signal is inverted and applied to one input of two-input AND gate 131. The other input of AND gate 131 receives the Q output of flip-flop 130. As those skilled in the art will recognize, flip-flop 130 and AND gate 131 operate together to produce a rising edge pulse at the output of AND gate 131 each time the signal corresponding to the firing signal transitions from logic 1 to logic 0. The output of AND gate 131 is applied to the RESET input of an 8-bit up counter 132. Accordingly, 8-bit up counter 132 is reset and begins a new count each time the signal corresponding to the firing signal transitions from logic 1 to logic 0 (i.e., at each switch-off point of interest).
The 8-bit output of counter 132 is provided to the B input of an 8-bit magnitude comparator 134. The A input to magnitude comparator receives an 8-bit data bus 135 that carries firing information provided to the auxiliary controller by the controller 40. The B > A output of comparator 134 is applied as the data input to a first clocked D flip-flop 136. The B > A output of comparator 134 is also inverted and the inverted signal is applied to the input of a second clocked D flip-flop 137. The control input to flip-flop 136 is coupled to a line carrying a T-ON signal. The control input to flip-flop 137 is coupled to a line carrying a T-OFF signal. As discussed below, the T-ON and T-OFF signals change in response to the type of data carried on bus 135. The outputs of flop-flops 136 and 137 are coupled to the inputs of an AND gate 138.In operation, the flip-flops 136 and 137 function as de-multiplexers to select which data will control the output state of AND gate 138. The output of AND gate 138 represents the firing signal for the auxiliary pulse. It may be separated into two signals and applied to the inputs to the appropriate auxiliary pulse OR gates 42 of Figure 4.
At or after the termination of the firing pulse, the controller 40 (or a separate auxiliary pulse control circuit) places an eight-bit digital word on data bus 135 that corresponds to the turn-on time for the auxiliary voltage pulse. At or after the controller places the turn-on information on data bus 135, it asserts the T-ON signal, thus enabling flip-flop 136. At this time, the T-OFF signal is a logic low, disabling flip-flop 137.
At the time flip-flop 136 is enabled, the output of flipflop 137 is a logic 1 and the output of flip-flip 136 is logic 0. Since flip-flop 137 is disabled at this time (T-OFF is low) the output of flip-flop 137 will remain low. Because flip-flop 136 is enabled, its output will follow its data input which is the B > A output of comparator 134. At the time the turn-on information is placed on data bus 135, the output count of counter 132 will be less than the digital word that corresponds to the turn-on time for the auxiliary pulse. Accordingly, the B > A output from comparator 134, and thus the output of flip-flop 136 and AND gate 138, will be logic low. As the count from counter 132 increases over time, a point will be reached where the count exceeds the digital word on line 135 corresponding to the turn-on time for the auxiliary pulse. At that time, the B > A output of comparator 134 will rise to logic high, as will the output of flip-flip 136 and AND gate 138. This will initiate a firing signal that will initiate the auxiliary pulse.
Sometime after the auxiliary pulse is initiated in the manner described above, the controller 40 places a digital word on bus 135 that corresponds to the turn-off time for the auxiliary pulse. At that time, the controller de-asserts the T-ON signal and asserts the T OFF signal. When this occurs, flip-flop 136 (with a logic high output) is disabled and flip-flop 137 is enabled. Since at the time the T-OFF signal is asserted the count output from counter 132 will be less than the T-OFF data word on bus 135, the inverted BoA output of comparator 134 (and thus the output of flip-flop 137) will remain logic high. Accordingly, the output of AND gate 138 will also remain logic high and the auxiliary firing pulse will continue. The inverted B > A input will remain logic high until the output count from counter 132 exceeds the digital word on bus 135.At that time, the inverted B > A output of counter 134 will drop to logic low, as will the output of flip-flop 137 and gate 138.
This change in the output of AND gate 138 will terminate the auxiliary firing pulse.
The specific circuitry of Figure 13 is provided as only one possible example of one type of clocked circuit that may be used to implement the present invention. Other types of circuits, possibly using additional comparators, may also be used to implement the control circuit of the present invention.
While the above discussion of the use of auxiliary pulses for noise reduction was in the context of a reluctance machines operating as a motors, the present invention is also applicable to machines acting as generators. For generators the application and timing of the auxiliary pulses must be modified. For example, for generators, it is the front end of the flux waveform that should be modified through the application of the auxiliary pulses.
Accordingly, the auxiliary pulses should disconnect the phase winding from the DC bus and should follow the peak of the flux waveform by an appropriate predetermined period of time.
The above description of several embodiments is made by way of example and not for purposes of limitation. Many variations may be made to the embodiments disclosed herein without departing from the scope and spirit of the present invention. For example, while the above description was directed primarily to specific switched reluctance motor systems, the present invention is applicable to any form of reluctance machine, regardless of the number of poles, pole shape and general layout.
The present invention is intended to be limited only by the spirit and scope of the following claims.

Claims (9)

CLAIMS:
1. A controller for a switched reluctance machine having a rotor, a stator and at least one energisable phase winding, the controller comprising: monitoring means for monitoring the energisation of the phase winding and for generating an output signal in response to a predetermined switching event causing a change in the flux generated by the winding; a pulse generator responsive to the output signal from the monitoring means to generate at least one pulse signal of a predetermined duration after a predetermined delay; a voltage source having a electrical power output;; switch means arranged to control energisation of the phase winding by application of the output from the voltage source, the switch means being responsive to the pulse signal to supply the said output to the phase winding, wherein the pulse generator is operable to generate the pulse signal subject to the said delay after the said switching event to induce forces in the stator that counter a vibrational force in the stator created as a result of the change in flux.
2. A controller as claimed in claim 1 in which the switch means are configurable at the switching event to cause a voltage reversal across the phase winding.
3. A controller as claimed in claim 1 in which the switch means are configurable at the switching event to cause current to freewheel through the phase winding.
4. A controller as claimed in any of claims 1 to 3, including a controller operable to produce timed firing signals to which the switch means are responsive in the operation of the machine, the monitoring means being arranged to detect the firing signals to produce the output signal.
5. A controller as claimed in any of claims 1 to 4 in which the pulse generator comprises a first edgetriggered monostable responsive to the output signal from the monitoring means to generate a delay pulse, the pulse generator being operable to generate the signal pulse upon termination of the delay pulse.
6. A controller as claimed in any of claims 1 to 4 in which the pulse generator comprises: a counter having an incremental output and reset means responsive to the output signal of the monitoring means to initiate a count at a switching event; a comparator arranged to receive the incremental output of the counter and to compare it with a first value and a second value, the comparator being operable to produce a delay pulse when the counter output is between the first and second value and to produce the pulse signal otherwise.
7. A controller as claimed in any of claims 1 to 6 in which the force induced in the stator by the pulse signal is timed by the duration of the delay pulse to be in antiphase to the vibrational force in the stator.
8. A controller as claimed in any of claims 1 to 7 including a plurality of pulse signals each timed to induce a force in the stator to counter the force at a different frequency, or a range of frequencies, of vibration.
9. A controller as claimed in any of claims 1 to 8 in which the pulse generator is operable to vary the duration of the pulse according to the energy associated with the natural frequency of vibration of the stator to counter the vibrational force.
GB9618094A 1995-09-14 1996-08-29 Reduced noise controller for a swiched reluctance machine using active noise cancellation Expired - Lifetime GB2305313B (en)

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB2313498A (en) * 1996-05-23 1997-11-26 Switched Reluctance Drives Ltd Torque smoothing in a switched reluctance machine
EP0883042A1 (en) * 1997-06-05 1998-12-09 Switched Reluctance Drives Limited On-off controller
EP1182771A3 (en) * 2000-08-18 2003-05-28 Switched Reluctance Drives Limited Apparatus and method for controlling an electric machine

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GB1587795A (en) * 1977-05-12 1981-04-08 Fluke Trendar Stepping motor drive method and apparatus
GB2076566A (en) * 1980-05-23 1981-12-02 Seiko Instr & Electronics Electronic timepiece
GB2293705A (en) * 1994-09-30 1996-04-03 Aisin Seiki Switched reluctance motor

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Publication number Priority date Publication date Assignee Title
GB1587795A (en) * 1977-05-12 1981-04-08 Fluke Trendar Stepping motor drive method and apparatus
GB2076566A (en) * 1980-05-23 1981-12-02 Seiko Instr & Electronics Electronic timepiece
GB2293705A (en) * 1994-09-30 1996-04-03 Aisin Seiki Switched reluctance motor

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
GB2313498A (en) * 1996-05-23 1997-11-26 Switched Reluctance Drives Ltd Torque smoothing in a switched reluctance machine
US5852355A (en) * 1996-05-23 1998-12-22 Switched Reluctance Drives Limited Output smoothing in a switched reluctance machine
GB2313498B (en) * 1996-05-23 2000-07-26 Switched Reluctance Drives Ltd Output smoothing in a switched reluctance machine
EP0883042A1 (en) * 1997-06-05 1998-12-09 Switched Reluctance Drives Limited On-off controller
US5926011A (en) * 1997-06-05 1999-07-20 Switched Reluctance Drives Limited On-off controller
EP1182771A3 (en) * 2000-08-18 2003-05-28 Switched Reluctance Drives Limited Apparatus and method for controlling an electric machine

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