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High Dynamic Four Quadrant Switched Reluctance Drive Based on DITC

High Dynamic Four Quadrant Switched Reluctance Drive Based on DITC
High Dynamic Four Quadrant Switched Reluctance Drive Based on DITC

High-Dynamic Four-Quadrant Switched Reluctance

Drive Based on DITC

Nisai H.Fuengwarodsakul,Marcus Menne,Robert B.Inderka,and Rik W.De Doncker,Fellow,IEEE

Abstract—This paper presents the development of a four-quad-rant switched reluctance machine(SRM)drive for high dynamic https://www.doczj.com/doc/532786833.html,prehensive fundamentals and analysis for operating switched reluctance machines in four quadrants are presented.The drive is designed based on a high dynamic control strategy called Direct Instantaneous Torque Control(DITC).The functionality of DITC is discussed in detail for both motoring and generating operation.A methodology to generate switching functions directly by the hysteresis torque controllers for SRMs is proposed.The proposed controller was prototyped and tested on a digital signal processor/?eld-programmable gate array de-velopment platform.High dynamic operation in both motoring and generating mode and the transition between these modes are validated by experimental results presented at the end of this paper.

Index Terms—Four quadrant,switched reluctance machine (SRM),torque controller.

I.I NTRODUCTION

I N recent years,switched reluctance machines(SRMs)have

drawn great attention from industry and researchers as an alternative among other electrical machines.Due to its simple construction without magnet and brushes,the SRM offers low production and operation costs.These advantages have caused interest in SRMs for several decades[1],[2].

For high dynamic applications,the drive is required to op-erate over a wide operating range in the torque–speed diagram. For example,in propulsion drives,the operating point changes dynamically all the time according to the driving situation. Thus,a switched reluctance drive for high dynamic applications is expected to deliver good performance not only at speci?ed operating points but also over a wide operating range.More-over,torque ripple should be minimized to avoid undesired speed?uctuations at low speeds.In addition,since regenerative braking is always advantageous and improves the whole drive ef?ciency,braking with generating operation mode becomes, therefore,one preferred requirement of high dynamic drives. This paper presents the development of a switched reluc-tance drive for high dynamic applications.In order to ful?ll the

Paper IPCSD-05-040,presented at the2004Industry Applications Society Annual Meeting,Seattle,W A,October3–7,and approved for publication in the IEEE T RANSACTIONS ON I NDUSTRY A PPLICATIONS by the Industrial Drives Committee of the IEEE Industry Applications Society.Manuscript submitted for review July1,2004and released for publication May20,2005.

N.H.Fuengwarodsakul and R.W.De Doncker are with the Institute for Power Electronics and Electrical Drives,RWTH-Aachen University,D-52066Aachen, Germany(e-mail:fu@isea.rwth-aachen.de;dd@isea.rwth-aachen.de).

M.Menne and R.B.Inderka are with DaimlerChrysler AG,70546Stuttgart, Germany(e-mail:marcus.menne@https://www.doczj.com/doc/532786833.html,;robert.inderka@https://www.doczj.com/doc/532786833.html,).

Digital Object Identi?er10.1109/TIA.2005.853381above-mentioned requirements a switched reluctance drive is developed based on a high dynamic torque control,i.e.,Direct Instantaneous Torque Control(DITC).

The control concept of DITC introduced in[3]for both mo-toring and generating mode is adopted and used as a basis of the controller.The excitation schemes in four-quadrant opera-tion are different depending on operating mode and rotating di-rection.Hence,an additional control function is necessary to determine the proper excitation scheme corresponding to the current operating https://www.doczj.com/doc/532786833.html,prehensive fundamentals for four-quadrant operation of SRMs are discussed in this paper and a direct torque controller suitable for four-quadrant operation is introduced.

The functionality of the presented controller for both mo-toring mode and generating mode is described.Furthermore, this paper proposes a methodology to develop switching schemes implemented in the torque hysteresis controller of DITC to cope with problems of transitioning between motoring mode and generating mode without additional disturbances. The functionality and performance of the developed SRM drive controller is validated experimentally.

II.C ONVENTIONAL SRM T ORQUE C ONTROLLER

V ERSUS DITC

For regulating torque output of SRMs,three fundamental control variables,i.e.,current,turn-on,and turn-off angle, have to be adjusted.To operate the SRM drive at one speci?c torque–speed operating point,many combinations of these control variables are possible.However,one suitable combi-nation for one speed–torque operating point should be chosen based on the desired optimization goal,e.g.,ef?ciency or low torque ripple.Due to the nonlinear behavior of an SRM,an optimal control variable set cannot be accurately determined by analytical https://www.doczj.com/doc/532786833.html,ing simulations,an optimal set of control variables over the entire operating range can be obtained.Many classical SRM torque controllers use this approach and rely on lookup tables of the control parameters[4]–[6].

Fig.1(a)illustrates a classical torque controller based on lookup tables of the control parameters.One important feature of this classical controller is that the phase current is controlled constantly over the excitation period.This leads to small in-herent torque?uctuations and high torque ripple during phase commutation,as shown in Fig.1(b).Actually,at high speed this torque ripple has a high frequency and is?ltered by the moment of inertia of the drive train.In contrast,at low speeds this torque ripple could cause signi?cant speed?uctuations and oscillations in the drive train.This torque ripple is the

0093-9994/$20.00?2005IEEE

Fig.1.Current-controlled-based torque controller.(a)Block diagram.(b) Current and torque output.

main drawback of torque control based on constant current regulation.

To minimize this torque ripple problem,the phase current or torque should be instantaneously controlled.A conventional method for torque-ripple minimization is known as current pro-?ling,in which the phase current pro?le to generate a smooth torque is pre-calculated and stored in the controller.Optimal current pro?les can be determined by different methods and op-timization strategies[7]–[9].

However,the current pro?ling method still has some draw-backs.It needs a large memory to store the current pro?les. Moreover,the current pro?les are sensitive to the dc-link voltage variation.Different current pro?les for different dc-link voltage levels are necessary in case the dc-link voltage varies strongly, e.g.,in a battery-supplied drive[2].This voltage variation con-siderably complicates the implementation of the controller. Recently,a concept called DITC was developed in order to overcome the mentioned drawbacks of the current-regulated torque controller[3].DITC adopts the philosophy of Direct Torque Control(DTC),which is a well-known concept for controlling torque of induction machines with high dynamics [10],[11].The important feature of DITC is that torque is directly regarded as a control variable and there is no current control loop any more.The electromagnetic torque of the SRM is instantaneously estimated using the machine torque characteristic.Switching signals are directly generated

from Fig.2.DITC.(a)Block diagram.(b)Current and torque output.

the comparison results between the reference torque and the estimated torque by means of a hysteresis torque controller. Fig.2(a)shows the control principle of DITC.

DITC reacts against the torque error instantaneously with high dynamic response by the torque hysteresis control.Since the instantaneous torque is directly controlled,the inherent torque ripple can be signi?cantly minimized,as illustrated in Fig.2(b).In[3],the fundamental functionality of DITC was validated.It also shows that the torque ripple problematic of the SRM can be overcome by using DITC.In comparison to the current pro?ling method,DITC requires only a rel-atively smaller memory for one lookup table in estimating instantaneous torque.In addition,the output accuracy is not as sensitive to variation of other parameters,e.g.,dc-link voltage, turn-on,and turn-off angle.Due to its high dynamic nature and the mentioned advantages,DITC appears to be a promising solution for controlling SRMs in high dynamic applications. In the following,the detailed implementation of DITC for four-quadrant operation is presented.

III.F OUR-Q UADRANT O PERATION OF SRM

Like other electrical machines,an SRM can be operated in both motoring and generating mode.From the simpli?ed SRM torque equation(1)neglecting saturation and mutual coupling effects,it can be noted that produced torque is determined by two quantities,i.e.,phase current and slope of inductance.As

Fig.3.Torque production in

SRMs.

Fig.4.Torque –speed operating diagram.

the phase current is squared,the current sign plays no role in the torque

production

(1)

According to (1),the only possibility to invert the torque di-rection is to excite the machine phase in the negative inductance slope region.

Fig.3illustrates the principle of torque production in SRMs in motoring and generating mode.For four-quadrant operation,not only torque but also rotating direction should be reversible.Fig.4shows the ideal torque –speed operating diagram for electrical machines over four quadrants.In general,the control scheme must be changed as soon as the operating point moves into the other quadrant.There are two issues to be

considered:

Fig.5.Asymmetrical half-bridge converter for SRM (one phase).

TABLE I

E XCITATION S TATES IN M OTORING AND G ENERATING M

ODE

Fig.6.Switching schemes for both operating modes.

?phase excitation determined by operating mode (mo-toring or generating);

?

excitation sequence determined by rotating direction (clockwise or counterclockwise).

A.Phase Excitation

According to the torque equation (1),positive and negative torque can be produced by feeding current in one direction.Therefore,an asymmetrical half-bridge converter,in which phase current is always unipolar,can be used as shown in https://www.doczj.com/doc/532786833.html,ing this converter topology,maximum excitation freedom can be achieved [7].Table I summarizes the possible excitation states for the base speed region,where back electromotive force (EMF)is smaller than the applied dc-link voltage.Phase cur-rents can be controlled in both motoring mode and generating mode by applying proper excitation states.

The function of a hysteresis current control for SRMs in both operations is depicted in Fig.6.

In motoring mode,the machine phase will be mainly excited

with

to increase current or torque,while the freewheeling state is used to decrease current or torque.Demagnetization is

Fig.7.Power ?ow in semigenerating mode.

applied once at the end of the excitation period before entering into the generating region.

In generating mode,the phase will be mainly driven

with and freewheeling states.In contrast to motoring mode,the freewheeling state is used for building the current,i.e.,torque.The only possibility to decrease the current,i.e.,absolute torque

value is by demagnetizing

with

.The

magnetization is applied once at the beginning of the excitation period for initial charging.

It should be pointed out that the sign of the current slope in freewheeling states is decisive for selecting the proper excita-tion scheme.Applying a wrong excitation scheme may lead to damage due to overcurrent.Hence,the current operating mode must be properly detected by the SRM controller in order to de-termine the corresponding excitation scheme.

To determine the correct excitation scheme,one can plot the actual speed and torque command in the torque –speed diagram as shown in Fig.4to determine the current operating quadrant.The quadrant in which the operating point is located indicates the operating mode.This approach is simple and practical.How-ever,one has to cope with the fact that the current slope in free-wheeling states does not change its sign exactly when the oper-ating point crosses the quadrant boundary.

In the low-speed region of the generating modes,the power converted from the mechanical side is still lower than the losses in the drive and the back EMF is not high enough to allow the positive current slope during a freewheeling state.Hence,the dc-link has to feed power into the drive to cover these losses.Therefore,this operation is de ?ned as semigenerating mode.The power ?ow in this semigenerating operation is depicted in Fig.7.

Actually,switching the excitation scheme from motoring mode to generating mode does not refer directly to average power ?ow in the drive but to the instantaneous current slope in the freewheeling states.In the following,the boundary,at which the current slope changes its sign,is determined.

Starting with the voltage equation (2)and neglecting satura-tion effects,the current slope equation (3)is

derived

(2)

Fig.8.Freewheeling

state.

Fig.9.Boundary of current slope change in generating

mode.

(3)

The current slope changes its sign

when

.

(4)

From Fig.8,the phase voltage in freewheeling mode equals the voltage drop across the semiconductor devices

(

and

)modeled by a voltage source and a slope resistance.These parameters can be obtained from the device

datasheets

Substituting and rearranging (4),the equation to deter-mine the boundary of current slope change as a function of torque and current is obtained as (5).The slope of

inductance

is regarded as a

constant

(5)

Combining (5)with the torque equation (1),the boundary in the torque –speed diagram can be calculated from (6).Fig.9shows this boundary of an example SRM

drive

when (6)

Fig.10.Block diagram of a DITC-based four-quadrant SRM drive.

In practice,this current slope boundary cannot be used as a base criterion for changing the switching scheme during oper-ation.It is discussed here in order to point out the boundary at which the machine behavior changes in the generating opera-tion.

In conclusion,the excitation scheme in generating mode should be designed to be capable of handling both cases of current slope.Hence,the operating mode can be simply deter-mined by the signs of torque command and actual speed.It will be shown in the next section how the presented controller deals with this requirement.

B.Excitation Sequences

Not only does the operating mode have to be regarded in four-quadrant operation but also the rotating direction.From Fig.3,it can be seen that if the rotating direction changes,the rotor position axis should be mirrored in order to obtain the proper operating mode,since the rotor angle between0–180 is de?ned as motoring and180–360as generating.Further-more,the excitation sequence should be changed as well.As a summary,if the rotor changes its direction,these following pro-cedures have to be done:

?mirroring the rotor position;

?alternating the excitation sequence.

IV.F OUR-Q UADRANT T ORQUE C ONTROLLER B ASED ON DITC The four-quadrant torque controller proposed in this paper is developed based on the concept of DITC.Fig.10depicts the block diagram of the four-quadrant SRM torque controller.In this diagram,the DITC core can be recognized in the gray back-ground.

From the discussion in the previous section,an operating mode and sequence selector is needed to determine the oper-ating mode and excitation sequence corresponding to the cur-rent operating point de?ned by the actual speed and torque com-mand.The switching signals are generated by a switching logic according to state signals,sequence,and mode

signals.Fig.11.Torque characteristic versus current and rotor position.

The active period of the machine phase is dictated by the turn-on and turn-off angle

(

and)Since DITC is not sen-sitive to changes of these angle parameters,a good control dy-namic can still be maintained over a wide range of turn-on and turn-off angles[3].However,ef?ciency and control dynamic can be improved by optimizing these turn-on and turn-off an-gles.The turn-on and turn-off angle control can be realized by a lookup table calculated from simulation or an online optimiza-tion during operation[3].

In the following,the DITC core will be discussed in de-tail.Furthermore,a systematic approach to derive switching schemes for motoring and generating mode is proposed.The last section discusses the controller behavior at high speed. A.Torque Estimation Unit

In DITC,the instantaneous output torque is considered as a control variable.The instantaneous torque estimated from a static torque machine characteristic is employed as a feedback control value,as shown in Fig.11.This torque characteristic can be obtained from?nite-element(FE)simulations or from exper-iments.It is obvious that calculating the machine characteristic from FE simulation consumes less time and expense than the

Fig.12.Excitation periods.

experimental measurement.On the other hand,imperfections in the machine production can make the real machine slightly different from the ideal machine in the simulation.In this case,experiments are necessary.

The torque characteristic is a function of two variables from the following three variables:current,rotor position,and ?ux linkage.Hence,there are in total three possible combinations to

draw the torque

relationship:

,

and .In this paper,the torque estimation is based on current and rotor

position,

i.e.,

.An example of the machine characteristic is shown in Fig.11.

B.Hysteresis Torque Controller

In a conventional SRM controller,which is based on a current controller either with pulsewidth-modulation (PWM)or hys-teresis control,the torque command has to be translated into a current value ?rst.Next,the switching signals are generated by the current controller to achieve the desired current.In contrast to these conventional controllers,DITC regards torque as a di-rect control variable and switching signals,i.e.,phase voltage,are determined by a comparison between the torque command and the estimated instantaneous torque using a hysteresis torque controller.

Moreover,DITC features a feedback control.This makes DITC stable and more accurate against disturbances,such as dc-link voltage variations.

Since the machine characteristic is strongly nonlinear,switching schemes in the hysteresis torque controller cannot be determined via analytical functions.In the following,a systematic method is proposed as a mathematical tool to design proper switching schemes for both motoring and generating modes.

C.Switching Scheme for Motoring Mode From a State Chart The excitation periods can be generally divided in two cate-gories,i.e.,single active and commutation periods,as illustrated in https://www.doczj.com/doc/532786833.html,ing a state chart,the switching scheme can be de-rived,as shown in Fig.13(a).At ?rst,all possible excitation states have to be drawn in the chart of Fig.13(a).In the single ac-tive period,only one phase will be excited.Thus,there are only

three possible switching states,

i.e.,

,0(freewheeling),

and

,as summarized in Fig.13(a).The positive and negative signs ?lled in the boxes indicate the absolute torque slope obtained from these switching

states.

Fig.13.Switching schemes for motoring mode.(a)Switching scheme when only one phase is activated (single active).(b)Switching scheme during commutation.

In motoring mode,it can be noted that only one state exists to increase torque,i.e.by

applying .Hence,the

state

will be applied if the torque becomes less than the lower limit.

To decrease torque,both 0(freewheeling)

and

can be used.However,when the phase is active,it is preferred to

Fig.14.Switching states in vector representation.

decrease torque slowly using state0(freewheeling),so that the torque remains in the hysteresis as long as possible to avoid high

switching frequencies.Rapid torque decrease

with

is only necessary for deactivating the phase.

In order to determine conditions for changing the switching state,two arrows indicating the state change are drawn in the chart.According to the state order,the torque slope always in-creases when moving to the left state.The state will be changed from state0to state1with the condition“a”when the torque should be increased.In a similar manner,if torque should be de-creased,the switching state will change from the state1to state 0with the condition“b.”Therefore,based on common sense, the level of condition“a”should be a lower limit of the phase torque and the level of condition“b”should be an upper limit, as illustrated in the transfer function diagram below the chart. Consequently,the switching scheme for the single active phase mode is derived.

The switching schemes for outgoing and incoming phases are simultaneously obtained by considering the commutation de-tails.In Fig.13(b),a state chart during commutation comprises nine possible states.In motoring mode,the following conditions have to applied to ensure a smooth torque commutation with low switching frequency.

1)Hard chopping and simultaneous state change of both

phases should be avoided.

2)The incoming phase has the?rst priority to build up torque

and should not be demagnetized(state1).

3)It is preferred to retain the outgoing phase in the free-

wheeling state(0).It will be magnetized(1)or demag-netized(1)if necessary.

According to the condition(1),the route of state change has to follow the soft-switching paths indicated in the vector dia-gram,as shown in Fig.14.Obeying the conditions(2)and(3), some redundant switching states in Fig.13(b)can be eliminated. Then,there are four applicable states left in the chart.

After drawing the arrows indicating the state change between the state block in Fig.13(b),six conditions for state change are obtained.The transfer function of the switching scheme can be derived according to the following rules.

?The vertical arrows“e”and“f”are used to derive the switching scheme for the incoming phase.

?The horizontal arrows“a,”“b,”“c,”and“d”are used to derive the switching scheme for the outgoing phase. The transfer functions of the resulting switching schemes are determined by mapping the condition level into the transfer function diagram,as presented in Fig.13(b).It should be noted that the switching scheme for the incoming phase is identical to the scheme during the single active period.

D.Switching Scheme for Generating Mode From a State Chart Generally,the switching scheme for generating mode is dif-ferent from motoring mode due to the positive current slope,i.e., torque in the freewheeling state.Moreover,in the low-speed re-gion of the generating mode,the current slope,i.e.,torque slope in freewheeling states,still remains negative as discussed in the last section.Therefore,the

state is needed to maintain the current,i.e.,torque,in the given hysteresis.

Using the presented systematic approach,switching schemes for generating mode can also be derived in the same manner [see the charts in Fig.15(a)and(b)].However,there are some different conditions to be considered,as follows:

1)The

state is used for initial charging and when the back EMF is too low to allow positive current slope in the freewheeling state.This will make the switching scheme also applicable for generating at low speeds,where the current slope in freewheeling remains negative.

2)During commutation,the incoming phase has the highest

priority to charge itself.Therefore,the average level of switching conditions of the incoming phase should be slightly lower than that of the outgoing phase to ensure

a suf?cient initial charge.

The chart in Fig.15(b)shows that there are more switching conditions available than in motoring mode.This also leads to more levels in the transfer function of the hysteresis torque con-troller.The obtained switching schemes are shown in Fig.15(b). As a conclusion,there are more possible combinations of the switching scheme for the torque hysteresis controller.The switching scheme may vary from a simple to a very complex one,according to the design goal and applied criteria,e.g.,im-plementation expense,control dynamic,switching frequency, etc.This method is an attempt to make the design of such hys-teresis torque controller more systematic.Furthermore,the state charts mentioned above not only allow a better understanding for the functionality of the torque controller,but also can be em-ployed as a tool for designing and optimizing the torque control schemes.

V.I MPLEMENTATION

The proposed control concept was implemented on a digital-signal-processor/?eld-programmable-gate-array(DSP/FPGA)-based rapid-prototyping platform[14]–[16].This DSP/FPGA feature makes it possible to implement high-level and low-level control functions in a single https://www.doczj.com/doc/532786833.html,plicated and time-consuming high-level functions,such as torque estimation and operation mode and sequence selecting,are implemented in the DSP.Simple and high-speed low-level functions,such as digital hysteresis torque control,are realized in the FPGAs.

The controller was built and tested with two different SRMs. The?rst machine SRM A is a6-kW18/12SRM.The second machine SRM B is a20-kW24/16SRM.Both machines are three-phase SRMs with a maximum speed of6000r/min.Fig.16

Fig.15.Switching schemes for generating mode.(a)Switching scheme when only one phase is activated(single active).(b)Switching scheme during commutation.

shows the developed switched reluctance drive with SRM B on the test bench.An induction motor is used as a load machine.

VI.E XPERIMENTAL V ERIFICATION

Operation tests were carried out to verify functionality and dynamic performance of DITC with the developed

switching Fig.16.Switched reluctance drive on the test bench(SRM B). strategies.The experiments can be divided into two parts: steady-state and transient operation.

A.Steady-State Operation

Fig.17illustrates the experimental results collected from operation tests in steady state with SRM A.In Fig.17(a),the machine is operated in motoring mode and delivers an average torque of50N m.The torque shown is estimated from the machine characteristic and is regarded as torque developed in the air gap.It contains high switching frequency ripple, which comes from the switching action of the torque hysteresis controller.In practice,this high-frequency ripple is?ltered by mechanical parts in the drive train and,therefore,does not cause a signi?cant speed?uctuation and oscillation.The counterpart experiment to Fig.17(a)is presented in Fig.17(b),in which the machine operates in generating mode.The top waveform shows the instantaneous torque which is regulated within the hysteresis bands at a generating torque of50N m.

In generating mode,the back EMF has changed its sign for the freewheeling state.At low-speed operation in Fig.17(b), the slew rate of the phase currents during freewheeling is lower than that in motoring mode.As a consequence,the average switching frequency in generating operation is lower than in mo-toring operation.As a conclusion,the results in Fig.17demon-strate the capability of DITC to deliver smooth torque output in steady-state operation for both operating modes.

B.Transient Operation

To validate the developed four-quadrant DITC under tran-sient operation,a start-up experiment is carried out.At?rst, the expected improved dynamic performance is illustrated by the comparison with the classical current-regulated torque con-trol by the simulation,as shown in Fig.18.A reference torque ramp of about350ms from0to50N m is the test signal for this experiment.This simulation result points out that the pul-sating torque during the ramp-up operation can be eliminated by DITC in comparison to the classical torque control,since the instantaneous torque is always within the reference torque hysteresis bands during the entire acceleration process.The ex-pected dynamic performance is con?rmed by the experiment re-sult in Fig.19(a).

Fig.17.Experimental results in steady-state with SRM A.(a)Motoring operation at50N1m and95r/min,showing total torque(top waveform)and phase currents(bottom waveform).(b)Generating operation at050N1m and 95r/min,showing total torque(top waveform)and phase currents(bottom waveforms).

In Fig.19(b),an operation with a step torque command at a constant speed is tested to evaluate the dynamic response of the DITC.Within8ms,torque is adjusted.The time for torque adjustment solely depends on the dc-link voltage,the machine inductance,and the back EMF.Due to the hysteresis control al-gorithm,the highest possible dynamic is obtained.This high dy-namic of the switched reluctance drive led to speed oscillations in the experiment because the?eld-oriented-controlled induc-tion machine load was not able to maintain constant speed.This speed variation becomes visible by the varying excitation dura-tion of the phases,i.e.,from turn-on until current extinguishes. Nevertheless,even during these speed variations instantaneous torque of the switched reluctance machine is regulated within the hysteresis band.

To investigate the drive behavior by the quadrant change near zero speed,a speed reversal operation is carried out.This op-eration was tested with SRM B.Fig.20illustrates the drive behavior during the speed reversal operation.At the

beginning https://www.doczj.com/doc/532786833.html,parison of startup with torque ramp by simulation,with classical current-regulated torque controller(upper diagram)and with DITC(lower diagram).

of the speed reversal,the machine was running at about400 r/min.During the entire reversal process,a constant torque com-mand of60N m is applied.Since the machine rotates with the negative speed in the opposite direction of the applied torque, the machine will be decelerated to standstill.In this period,gen-erating mode is applied.A remarkable behavior in generating mode at low speeds near the zero crossing discussed before can be observed in Fig.20.The current slope in freewheeling states turns from positive to negative at low speeds in generating mode. Using the designed switching scheme in generating mode,the phase current will be boosted by the bottom hysteresis level to maintain the desired torque.At the zero-speed crossing,the op-eration mode and excitation sequence are switched simultane-ously into the?rst quadrant operation.The drive continues with the motoring mode and the machine is accelerated in a similar manner as the acceleration test.It can be noted that the drive operates without disturbance during the quadrant turnover.

VII.C ONCLUSION

A four-quadrant SRM drive for high dynamic applications was developed.The drive controller was designed based on DITC.Operation in motoring mode and generating mode was analyzed and discussed.The functionality of the controller

Fig.19.Experimental results under dynamic tests SRM A.(a)Startup with torque ramp,from 0to 50N 1m,showing total torque (top waveform)and phase currents (bottom waveforms).(b)Step response with DITC,torque command from generator to motor operation,050N 1m to +50N 1m,load is constant-speed

controlled.

Fig.20.Speed reversal test:n 0400!+400r/min,T =60N 1m,V

300V with SRM B.

was described.A systematical methodology for designing the hysteresis torque controller was proposed.

The presented controller was implemented on a DSP/FPGA rapid-prototyping platform.Functionality and performance of the SRM drive were veri ?ed by experiments.The experimental results have shown that the SRM drive demonstrates a high ac-curacy under steady-state conditions as well as a high dynamic response in dynamic (transitions)operation.

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[11]I.Takahashi and T.Noguchi,“A new quick-response and high-ef ?ciency

control strategy of an induction motor,”IEEE Trans.Ind.Appl.,vol.22,no.5,pp.820–827,Sep./Oct.1986.

[12]https://www.doczj.com/doc/532786833.html,ler,P.G.Bower,R.Becerra,and M.Ehsani,“Four-quadrant

brushless reluctance motor drive,”in Proc.Third Int.Conf.Power Elec-tronics and Variable-Speed Drives ,London,U.K.,1991,pp.273–276.[13] B.Fahimi and R.B.Sepe,“Development of 4-quadrant sensorless con-trol of SRM drives over the entire speed range,”in Conf.Rec.IEEE-IAS Annu.Meeting ,vol.3,2002,pp.1625–1632.

[14] C.-U.Karipidis,A Versatile DSP/FPGA Structure Optimized for Rapid

Prototyping and Digital Real-Time Simulation of Power Electronics and Electrical Drives .Aachen,Germany:Shaker Verlag,2001.

[15]N.H.Fuengwarodsakul,H.Radermacher,and R.W.De Doncker,

“Rapid prototyping tool for switched reluctance drive controls in trac-tion applications,”in Proc.PEDS’03,Singapore,2003,pp.927–931.[16]J.von Bloh.(2004)XCS 1000Manual .AixControl GmbH,Aachen,Ger-many.[Online]Available:

https://www.doczj.com/doc/532786833.html,

Nisai H.Fuengwarodsakul (S ’02)received the Bachelor of Electrical Engineering degree from King Mongkut ’s Institute of Technology,Bangkok,Thailand,in 1998,and the M.S.degree in electrical power engineering from the RWTH-Aachen Univer-sity,Aachen,Germany,in 2001.

Since December 2001,he has been with the Institute for Power Electronics and Electrical Drives,RWTH-Aachen University,as a Research Associate.His research activities are in the area of electrical drives and their controls.

Mr.Fuengwarodsakul is a Member of Gemeinschaft der Aachener Thail ?ndischen Studierenden (GATS)and a Young Member of Thai FC BaWu (Baden-W ürttemberg).He is also a Member of the Informations Vagabundierende Vektoren Bauern-Seilschaft (IVVBS).

Marcus Menne(S’00–M’00)received the Doctor degree in electrical engineering from the RWTH-Aachen University,Aachen,Germany,in 2000

Since January2001,he has been with Daimler-Chrysler AG,Stuttgart,Germany,where he has worked on electrical drives for fuel-cell and hybrid electric vehicles.His current activity is within the

?eld of knowledge

transfer.

Robert B.Inderka(S’00–M’03)received the

Diploma and the Doctor of Electrical Engineering

degree from the RWTH-Aachen University,Aachen,

Germany,in1997and2002,respectively.

In1997,he joined the Institute for Power Elec-

tronics and Electrical Drives,RWTH-Aachen Uni-

versity,as a Research Associate.Since July2003,he

has been with DaimlerChrysler AG,Stuttgart,Ger-

many,where he works on electrical drives for propul-

sion.

Dr.Inderka is a Member of the Informations Vagabundierende Vektoren Bauern-Seilschaft

(IVVBS).

Rik W.De Doncker(M’87–SM’99–F’01)received

the Ph.D.degree(summa cum laude)in electrical en-

gineering from the Katholieke Universiteit Leuven,

Leuven,Belgium in1986.

In1987,he was appointed a Visiting Associate

Professor at the University of Wisconsin,Madison,

where he lectured and conducted research on

?eld-oriented controllers for high-performance

induction motor drives.In1988,he was a General

Electric Company Fellow in the microelectronic

center,IMEC,Leuven,Belgium.In December1988, he joined the General Electric Company Corporate Research and Development Center,Schenectady,NY,where he led research on drives and high-power soft-switching converters,ranging from100kW to4MW,for aerospace, industrial,and traction applications.In1994,he joined Silicon Power Cor-poration(formerly GE-SPCO)as Vice President,Technology.He worked on high-power converter systems and MTO devices and was responsible for the development and production of a15-kV medium-voltage transfer switch. Since October1996,he has been a Professor at the RWTH-Aachen University, Aachen,Germany,where he leads the Institute for Power Electronics and Electrical Drives.He has published over90technical papers and is the holder of18patents,with several pending.

Dr.De Doncker is a Member of the Executive Board of the IEEE Industry Applications Society(IAS)and of the Executive Committee of the IEEE Power Electronics Society(PELS).He is also a Member of the EPE Executive Council. He was founding Chairman of the German IEEE IAS-PELS Joint Chapter.He was also the recipient of three IAS Prize Paper Awards.He is a Member of the VDE and the European Power Electronics Executive Council.

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《一千根弦》 四字词语:尽心尽意有生之年急不可待潸然泪下 成语模仿: 尽心尽意无情无义无声无息无缘无敌无穷无尽 词语巧搭配:(清双目失明)的小徒弟(怀里)的药方 (故事)的真相(尽情)地弹唱 关联词:(但)是遍访名医,(都)说没有办法。 名言警句:最最要紧的是坚定。不要让痛苦使你背离你开始的,值得赞美的事业,谁只要能坚持到底,他便是有福的。----格里 美尔斯豪森 反义词:潸然泪下---喜笑颜开急不可待---慢条斯理坚持---放弃郑重---轻率 作文-----表达:不拘形式地说写见闻 《汉字家园》1 (鸽子)酷爱和平(喜鹊)传递佳音(鹦鹉)人云亦云(孔雀)举止高雅 (雄鹰)英勇无畏(大雁)纪律严明(企鹅)憨厚可爱(燕子)报春使者

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最新资料欢迎阅读 Unit 7 The Monster课文翻译综合教程四 Unit 7 The Monster Deems Taylor 1 He was an undersized little man, with a head too big for his body ― a sickly little man. His nerves were bad. He had skin trouble. It was agony for him to wear anything next to his skin coarser than silk. And he had delusions of grandeur. 2 He was a monster of conceit. Never for one minute did he look at the world or at people, except in relation to himself. He believed himself to be one of the greatest dramatists in the world, one of the greatest thinkers, and one of the greatest composers. To hear him talk, he was Shakespeare, and Beethoven, and Plato, rolled into one. He was one of the most exhausting conversationalists that ever lived. Sometimes he was brilliant;sometimes he was maddeningly tiresome. But whether he was being brilliant or dull, he had one sole topic of conversation: himself. What he thought and what he did. 3 He had a mania for being in the right. The slightest hint of disagreement, from anyone, on the most trivial point, was enough to set him off on a harangue that might last for hours, in which he proved himself right in so many ways, and with such exhausting volubility, that in the end his hearer, stunned and deafened, would agree with him,for the sake of peace. 4 It never occurred to him that he and his doing were not of the most intense and fascinating interest to anyone with whomhe came in contact. He had theories about almost any subject under the sun,including vegetarianism, the drama, politics, and music; and in support of these theories he wrote pamphlets, letters,books ... thousands upon thousands

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