CN1725625A - Control method of double-salient-pole electric machine without position sensor - Google Patents
Control method of double-salient-pole electric machine without position sensor Download PDFInfo
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- CN1725625A CN1725625A CNA2005100407201A CN200510040720A CN1725625A CN 1725625 A CN1725625 A CN 1725625A CN A2005100407201 A CNA2005100407201 A CN A2005100407201A CN 200510040720 A CN200510040720 A CN 200510040720A CN 1725625 A CN1725625 A CN 1725625A
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Abstract
A method for controlling position -free transducer of double -salient - pole machine confirms electric machine rotator position indirectly by directly utilizing armature current and voltage data of electric machine for realizing reliable operation of position free transducer on electric machine. In the method, rotator position data can be derived out by 3D inductance curve inversion of electric machine and indirect position-detection can be realized by utilizing digital signal processor or monolithic computer chip.
Description
Technical field
Control method of double-salient-pole electric machine without position sensor belongs to the specific type of electric machine digital control method.
Background technology
For double salient-pole electric machine drive system (DSM), rotor position information is the prerequisite of its reliability service in real time and accurately.At present in the double salient motor system, the general detection type position detector of shaft position sensor (see figure 1) or other type that adopts obtains the positional information (see figure 2), this not only can increase volume, improve system cost and complexity, the more important thing is the robustness that can reduce the DSM system configuration, and maintenance difficult influences the reliability service of whole system, has especially limited its application in the abominable occasion of environment.Therefore how let it be is fallen position detector, directly utilizes the voltage and current information indirect of motor to determine rotor-position, thereby makes system configuration firmer, and operation is reliable more, efficient, and cost is cheaper, beyond doubt a very potential research direction.
Up to now, the research to this field both at home and abroad still belongs to the starting stage, and research object focuses mostly in the similar position-less sensor of switched reluctance motor of electric machine structure.The thinking of its research has two kinds: positioning mode is injected in (1) pulse: utilize idle phase, the analog test signal of high frequency produces the information such as electric current of needs to obtain positional information thereby inject by a narrow margin artificially.Although the algorithm of pulse injection method is relatively simple, make it that inherent intrinsic speed limit be arranged unavoidably based on the input of high-frequency impulse, and measuring current may bring negative torque, it is exerted oneself to whole system and the influence of efficient also is very big deficiency; (2) back-emf method:, obtain the position signalling of motor by the zero crossing of test side voltage.But this method needs the auxiliary starter facility, need carry out phase compensation, also has the matching problem of count value speed and current amplitude limit.Because the existence of these shortcomings, last above method does not all have and can realize well.
How accurately to obtain rotor position angle information in real time is the difficult problem of biconvex utmost point position-sensor-free technology always.Still there is not effective double-salient-pole electric machine without position sensor technology both at home and abroad.
Summary of the invention
The purpose of this invention is to provide a kind of armature supply of motor and information of voltage of directly utilizing and determine motor rotor position indirectly, realize the electric machine without position sensor (see figure 3), reach that electric system is simple in structure, reliable, volume is little, the control method of firm, efficient is high, cost is low novel doubly-salient electric machine without position sensor.
Control method of double-salient-pole electric machine without position sensor of the present invention directly utilizes the armature supply of motor and information of voltage to determine motor rotor position indirectly, realizes the operation of double-salient-pole electric machine without position sensor.Concrete grammar comprises:
1. by the armature supply and the voltage of actual measurement motor, try to achieve the inductance value that under different electric currents, changes with motor rotor position;
With motor rotor position angle under the same electric current as independent variable, inductance value carries out curve fitting by MATLAB software as dependent variable, draws out the curve that inductance value under the same electric current changes with the motor rotor position angle;
3. utilize the fitting of a polynomial of the polyfit function realization inductance curve in the MATLAB software, to obtain the polynomial function expression formula that inductance value changes with the motor rotor position angle:
L
p(θ)＝a
0*θ
5+a
1*θ
4+a
2*θ
3+a
3*θ
2+a
4*θ+a
5；
4. simulate the family of curves that inductance value changes with the motor rotor position angle under the different electric currents;
5. utilize inductance curve minimum almost constant characteristics under different electric currents, with electric current is to multiply by and current related ratio value function (f (i)) after 0 o'clock inductance polynomial fitting deducts the minimum value of inductance, add this inductance minimum value, the three-dimensional function that the structure inductance value changes with electric current and motor rotor position angle:
L
p(θ，i)＝(a
0*θ
5+a
1*θ
4+a
2*θ
3+a
3*θ
2+a
4*θ+a
5-L
0min)*f(i)+L
0min；
6. utilize digital signal processor (DSP) or singlechip chip the current-voltage information that samples to be handled the size that obtains with reference to inductance value, again gained is made comparisons with reference to inductance value and the 5th described functional value, determine different rotor position informations constantly;
7. according to the operation mechanism of double salient-pole electric machine, different motor rotor position information is corresponding between different inductor sections, feed positive current at inductance rising area phase winding, descend at inductance and distinguish phase winding feeding negative current, realize the operation of the position-sensor-free of double salient-pole electric machine.
Control method of double-salient-pole electric machine without position sensor of the present invention, do not need to inject artificially the analog test signal of high frequency by a narrow margin, there is not phase compensation yet, and the problem of electric current rotating speed coupling, but the current-voltage information when directly moving based on motor, positional information is obtained in three-dimensional inductance curve inverting according to motor, utilize DSP or singlechip chip to realize indirect position probing, can make the firmer reliable efficient advantages of higher of minor structure of the simple more volume of double salient motor system, the method has bigger practical value to the application of position-sensor-free double salient-pole electric machine.
Description of drawings
Fig. 1 is the double salient-pole electric machine sectional view that adopts shaft position sensor.
Fig. 2 is the three-phase position signal schematic diagram that adopts shaft position sensor to obtain.
Fig. 3 is the structural representation of position-sensor-free double salient-pole electric machine of the present invention.
Fig. 4 is a computer sampling current/voltage schematic diagram.Designation among Fig. 4:
U---voltage, i---electric current, T---cycle, k---periodicity
Fig. 5 is an inductance family of curves (current range ± 50A).
Fig. 6 is a plurality of inductance inductance families of curves under the cycle.
Fig. 7 is approximate inductance family of curves.
Fig. 8 is that the inductance maximum is than match curve.
Fig. 9 is the diagram of block of phase winding self-induction.
Figure 10 is the error schematic diagram of the inductance curve that takes out in the inductance curved surface.
Figure 11 is that current range is ± the inductance surface chart that obtained by the three-dimensional function of structure during 200A.
Figure 12 is the computer flow chart that motor rotor position obtains.
Figure 13 is electric excitation biconvex electrode electric machine position-sensor-free operation mechanism figure.
Embodiment
The estimation of 1 actual inductance value
1.1 magnetic linkage estimation
With one 12/8 utmost point electromagnetic type double salient-pole electric machine is example, and the actual measurement voltage and current was estimated the magnetic linkage value when the art of this patent was at first utilized the motor operation.
Double salient-pole electric machine one phase voltage equation is
Solve a phase winding magnetic linkage expression formula by formula (1)
If known, just can integrating meter calculate the actual magnetic linkage of winding current time from each voltage and current value i and initial magnetic linkage ψ (0) of 0 o'clock constantly constantly 0 to moment t constantly.(2) formula dispersed obtain
In the formula, T is the computing cycle of discrete integration magnetic linkage, and u (k), i (k), r (k) are voltage, electric current and the resistance value of winding in k the discrete periodic.By formula (3) as can be known in 1 period T the variation delta ψ of magnetic linkage be
Δψ＝[u(N)-i(N)r(N)]T (4)
Electric current is adopted PWM control, and the discrete periodic T of PWM chopping cycle sampling period and magnetic linkage estimation is identical and keep synchronously, thereby supply voltage and the centrifugal pump of winding current in k cycle are exactly the sampled value U in this employing cycle
d(k), i (k).If the duty ratio of current chopping cycle is α, then as shown in Figure 4 in k period T winding current do not become i (k), winding voltage is the voltage voltage U in opening period α T
d(k), winding voltage is zero in no-voltage afterflow copped wave period (1-α) T, supposes that winding resistance is constant r, and does not change in time, and then the magnetic linkage increment in k cycle is
Δψ(k)＝[U
d(k)-i(k)r]α(k)T+[0-i(k)r][1-α(k)]T (5)
＝[U
d(k)α(k)-i(k)r]T
Make Δ ψ
1(k)=U
d(k) α (k) T, Δ ψ
2(k)=i (k) rT gets
Δψ(k)＝Δψ
1(k)-Δψ
2(k) (6)
Calculate Δ ψ respectively
1(k) and Δ ψ
2(k) two, substitution formula again (6) obtains the magnetic linkage increment in k the discrete periodic T, the magnetic linkage estimated value of the current conducting phase of motor when obtaining t=kT at last, as the formula (7)
ψ (k)=ψ (k-1)+Δ ψ (k) (7) can utilize single-chip microcomputer or DSP to note the discrete data value that magnetic linkage changes with angle when arriving last sampling period (k=N).Improve constantly test voltage, the steady state test electric current that obtains improving constantly, and then can obtain the discrete data value that magnetic linkage ψ changes with angle θ and current i.
1.2 inductance estimation
By magnetic linkage-inductance formula
ψ＝Li (8)
Distortion can get
L＝ψ/i (9)
Therefore, after the discrete data value that obtains magnetic linkage, can obtain the discrete data value table that inductance changes with position angle and electric current by (9).
The implementation method of 2 wall scroll nonlinear inductance curve fits
By the inductance value tables of data that estimates, select the method for spline interpolation that the inductance data are handled.As independent variable, inductance value obtains the curve that inductance value changes with rotor position angle under the same electric current as dependent variable through curve fit with same electric current lower rotor part position angle in elder generation.Utilize the method for spline interpolation to obtain the matched curve family (electric current get respectively-50 ,-40 ,-30 ,-20 ,-10,0,10,20,30,40,50A) of inductance value under the different current values, see shown in Figure 5.Last on the basis of spline interpolation, utilize the polyfit function of MATLAB software can realize the fitting of a polynomial of inductance curve.Select the result after 5 matches:
L
p(θ)＝a
0*θ
5+a
1*θ
4+a
2*θ
3+a
3*θ
2+a
4*θ+a
5 (10)
Wherein, L
p(θ) expression phase winding self-induction, θ represents rotor-position, a
0A
5Coefficient for polynomial fitting.(10) formula is the function that inductance changes with rotor position angle.
3 constructed fuction principles are introduced
This patent is on the basis that matched curve is studied to inductance, utilize the almost constant characteristics of inductance curve minimum, the method of the relation of electric current and position angle and inductance with mathematics connected, construct the higher order functionality that inductance changes with angle position and electric current.
Can obtain inductance with the functional relation that angle changes by formula (10), obtain simultaneously the inductance curve (electric current from-50A to+50A), choose a plurality of inductance value cycle from time shaft, see Fig. 6.This a series of inductance curve can be similar to regards what several isosceles trapezoids were formed by connecting abstractively as, sees Fig. 7 (d).Choose any curve (shown in Fig. 7 (a)) in Fig. 7 (d) family of curves,, the minimum value of curve is overlapped with X-axis, can obtain the curve shown in Fig. 7 (b) its downward translation.The expression formula of this curve multiply by a series of constant just can obtain the family of curves of shape shown in Fig. 7 (c).Fig. 7 (c) more upwards translation just can obtain the family of curves of shape such as Fig. 7 (d).
As long as therefore know the function expression of any curve in the inductance family of curves, it is deducted the inductance minimum value, multiply by a series of coefficients again, adding that the inductance minimum value just can be similar to the family of curves that obtains shape such as Fig. 6 at last.And as can be seen when the electric current even variation, approximate between every inductance curve have certain ratio relation by Fig. 7 (c), and this ratio relation is mainly by the maximum decision of inductance.Here it is utilizes graphic characteristics to construct the principle basis of three-dimensional function.
4 inductance maximums compare curve fit
Because the double salient-pole electric machine phase winding feeds positive current and negative current is different to the influence of inductance, one increases magnetic action, and another plays demagnetizing effect, so reversal should be considered respectively for the influence of inductance.It is that 0 o'clock inductance maximum deducts value after the inductance minimum value as benchmark that this paper selects electric current, and the value that deducts after the minimum value with the maximum of inductance curve under other current conditions compares with it, obtains a series of ratio p
n, see formula (11)
p
n＝(L
nmax-L
min)/(L
0max-L
min) (11)
Wherein, p
nRepresent the ratio after inductance maximum under the different electric currents deducts the inductance minimum value, L
NmaxThe maximum of representing inductance under the different electric currents, L
MinExpression inductance minimum value (the inductance minimum value is almost constant under different electric currents), L
0maxThe expression electric current is the maximum of 0 o'clock inductance, n=1,2,3 ...These a series of ratios can fit to a curve (see figure 8), and this continuous curve has reacted the ratio variation relation that is similar between the inductance curve under the different electric currents.Can obtain the expression formula of curve among the last figure by the iunction for curve of MATLAB
f(i)＝-0.0035i+1.0005 (12)
5. construct three-dimensional inductance function
With electric current is to multiply by formula (12) after 0 o'clock inductance polynomial fitting (10) deducts the minimum value of inductance, adds this current minimum, can be similar to the continuous function that the inductance that constructs changes with electric current and position angle:
L
p(θ，i)＝(a
0*θ
5+a
1*θ
4+a
2*θ
3+a
3*θ
2+a
4*θ+a
5-L
0min)*f(i))+L
0min (13)
Wherein, L
0minIt for armature supply 0 o'clock inductance curve minimum.Can obtain the three-dimension curved surface that inductance changes with electric current and angle by formula (13), and as shown in Figure 9 (current range-50A～50A).
The three-dimensional function gained inductance curve of estimation inductance value and structure is compared, see Figure 10.Smoothed curve is represented be by the inductance family of curves of the function gained of structure (current range ± 50A), " * " expression be the estimation inductance value.Constructed fuction method gained inductance value is very approaching with actual estimation inductance value as seen from Figure 10, curve even almost coincidence, and error is compared very little with actual estimated value, illustrate that this model has higher accuracy, can reflect the variation of actual inductance preferably.Near the precision of the three-dimensional function of constructing in the art of this patent scheme inductance maximum and inductance minimum value is the highest, and (only comprising addition and multiplying) simple in structure, programming is simple, therefore most suitablely is used for determining rotor position angle, realizes no position probing.When current range enlarges again, as expand to ± 200A, the inductance diagram of block that constructed fuction obtains is seen Figure 11.
The estimation of 6 rotor position angles
Utilizing DSP or single-chip microcomputer that the current-voltage information that samples is handled obtains with reference to the inductance size, again gained with reference to inductance value with it the three-dimensional function value of front construction make comparisons, when both the difference absolute values within certain error range, note the rotor-position position θ of this moment, just can determine the different position angles of rotor constantly.The FB(flow block) that position angle is asked for is seen Figure 12.Wherein θ represents rotor position angle (the θ scope is 0～45 ° in this example), L
1The inductance reference value that expression is estimated by the actual measurement voltage and current, L
2The inductance value that expression is calculated by three-dimensional function, W represents L
1With L
2Poor, e represents a dimensionless.
The realization of 7 position-sensor-frees
By the double salient-pole electric machine operation mechanism, different rotor position corresponds respectively to the rising area (I zone among Figure 13) of inductance curve and the district (III zone among Figure 13) that descends, the operation of motor need feed positive current at inductance rising area phase winding, descends at inductance and distinguishes phase winding feeding negative current.The art of this patent is classified to the θ value under the software records after realizing obtaining of location information, and different θ values corresponds respectively to different inductance rising areas and inductance decline district, as shown in figure 13, and at θ
1～θ
2The time winding feed and to flow i on schedule
a, at θ
3～θ
4The time phase winding feed negative current-i
a(because the inhibition of inductance, commutation in advance can increase exerting oneself of electric current, promptly can be at θ
2～θ
4The time phase winding feed negative current), thereby realize the double-salient-pole electric machine without position sensor operation.This position-sensor-free scheme does not need to inject artificially the analog test signal of high frequency by a narrow margin, but the current-voltage information when directly moving based on motor, positional information is obtained in three-dimensional inductance curve inverting according to motor, utilizes DSP or singlechip chip can realize indirect position probing.This scheme has bigger practical value to the application of position-sensor-free double salient-pole electric machine.
Claims (1)
1, a kind of control method of double-salient-pole electric machine without position sensor is characterized in that, directly utilizes the armature supply of motor and information of voltage to determine motor rotor position indirectly, realizes the operation of double-salient-pole electric machine without position sensor, and concrete grammar comprises:
(1), tries to achieve the inductance value that under different electric currents, changes with motor rotor position by the armature supply and the voltage of actual measurement motor;
(2) with motor rotor position angle under the same electric current as independent variable, inductance value carries out curve fitting by MATLAB software as dependent variable, draws out the curve that inductance value under the same electric current changes with the motor rotor position angle;
(3) utilize polyfit function in the MATLAB software to realize the fitting of a polynomial of inductance curve, to obtain the polynomial function expression formula that inductance value changes with the motor rotor position angle:
L
p(θ)＝a
0*θ
5+a
1*θ
4+a
2*θ
3+a
3*θ
2+a
4*θ+a
5；
(4) simulate the family of curves that inductance value changes with the motor rotor position angle under the different electric currents;
(5) utilize inductance curve minimum almost constant characteristics under different electric currents, with electric current is to multiply by and current related ratio value function (f (i)) after 0 o'clock inductance polynomial fitting deducts the minimum value of inductance, add this inductance minimum value, the three-dimensional function that the structure inductance value changes with electric current and motor rotor position angle:
L
p(θ，i)＝(a
0*θ
5+a
1*θ
4+a
2*θ
3+a
3*θ
2+a
4*θ+a
5-L
0min)*f(i)+L
0min；
(6) utilize digital signal processor (DSP) or singlechip chip the current-voltage information that samples to be handled the size that obtains with reference to inductance value, again gained is made comparisons with reference to inductance value and the 5th described functional value, determine different rotor position informations constantly;
(7) according to the operation mechanism of double salient-pole electric machine, different motor rotor position information is corresponding between different inductor sections, feed positive current at inductance rising area phase winding, descend at inductance and distinguish phase winding feeding negative current, realize the operation of the position-sensor-free of double salient-pole electric machine.
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| CNB2005100407201A CN1326318C (en) | 2005-06-23 | 2005-06-23 | Control method of double-salient-pole electric machine without position sensor |
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| CN1326318C CN1326318C (en) | 2007-07-11 |
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