CN103269196A - Method for suppressing unbalance of output currents of five-phase induction motor - Google Patents
Method for suppressing unbalance of output currents of five-phase induction motor Download PDFInfo
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- CN103269196A CN103269196A CN2013102379817A CN201310237981A CN103269196A CN 103269196 A CN103269196 A CN 103269196A CN 2013102379817 A CN2013102379817 A CN 2013102379817A CN 201310237981 A CN201310237981 A CN 201310237981A CN 103269196 A CN103269196 A CN 103269196A
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Abstract
The invention belongs to the field of ship electric propulsion, and particularly relates to a method for suppressing the unbalance of output currents of a five-phase induction motor. When a five-phase frequency converter is used for driving the five-phase induction motor to work, as the output phase currents of the motor are different during operation of the motor due to difference in the phase impedances of the motor, difference in sensors and sampling resistors, motor default phase and other factors, the control performance of a system is affected, the reliability of equipment is reduced, and even the abnormal operation of the equipment is caused. According to the method, the output currents of the five-phase induction motor are subjected to phase sequence analysis, and the degree of unbalance of the output currents is transformed into frequency-doubling secondary current components in different coordinate planes; and a modern control theory is used for designing regulators for suppressing the frequency-doubling secondary current components, so that the purpose of suppressing the unbalance of output currents of the five-phase induction motor is reached. The method for suppressing the unbalance of output currents of the five-phase induction motor, provided by the invention, can be used for effectively reducing the degree of unbalance of output currents and is suitable for fields such as high-power industrial electrical driving, rail transits and ship electric propulsion.
Description
Technical field
The invention belongs to marine vessel power and advance the field, particularly relate to the unbalanced method of a kind of inhibition five-phase induction motor output current.
Background technology
Fast development along with naval vessel electric propulsion technology, power grade to the naval vessel electric propulsion apparatus requires increasing, because the restriction of power device, traditional three-phase inverter can't satisfy high-power requirement, adopts maturation, calibration power device to realize that powerful heterogeneous frequency changing driving system becomes inevitable choice.On the other hand, polyphase machine makes it be adapted at more using in the naval vessel electric propulsion system with the little advantage such as low of its EMI, motor torque ripple.
When heterogeneous frequency converter drives polyphase machine work, because each phase of impedance of motor there are differences, there are factors such as difference, motor phase shortage in transducer and sampling resistor, there is difference in the motor output current phase during motor operation, influence system control performance, reduced the reliability of equipment, even may cause equipment normally to move, seriously restricted heterogeneous frequency changing driving system in extensive use military, civil area.For this reason, be badly in need of analyzing, inquire into the uneven inhibition method of effective polyphase machine output current, solve its on the naval vessel, the technical problem of the extensive use of civilian boat electric propulsion apparatus, satisfy large-scale ships used for military purposes, ship for civil use propulsion system power, reliability requirement, lay the foundation for realizing integrated power system peculiar to vessel.
Summary of the invention
The objective of the invention is the problem at the prior art existence, namely the unbalanced problem of five-phase induction motor output current proposes the unbalanced method of a kind of inhibition five-phase induction motor output current, and this method can effectively reduce five-phase induction motor output current degree of unbalance.
To achieve these goals, technical scheme of the present invention is:
The unbalanced method of a kind of inhibition five-phase induction motor output current comprises that five-phase induction motor exports uneven phase current phase sequence analytic process and suppress times frequency alternating current component design of Regulator process;
The uneven phase sequence analysis of described five-phase induction motor output current comprises:
The uneven vector of five-phase induction motor output current phase is decomposed into positive sequence 1 frequency multiplication first-harmonic plane, negative phase-sequence 1 frequency multiplication first-harmonic plane, positive sequence 1 frequency multiplication three secondary flats, negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane, component, above-mentioned back four kinds of components are respectively negative phase-sequence 2 frequency multiplication first-harmonic planes, positive sequence 1 frequency multiplication three secondary flats, negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane under coordinate transform projects to rotating coordinate system, reduce this four kinds of components then;
Described inhibition times frequency alternating current component suppresses design of Regulator and comprises:
Asynchronous machine input T shaft voltage, output stator T axle equivalent current, asynchronous machine input and output transfer function is delay component
, wherein
,
Stator first-harmonic main inductance,
Rotor first-harmonic main inductance,
The mutual inductance of rotor first-harmonic,
Stator resistance,
Rotor resistance,
First-harmonic rotate synchronously electric angle speed,
Rotor rotation electric angle speed; At adjuster
Middle assigned pole makes that the systematic steady state error is zero under the sinusoidal input signal excitation, and the systematic steady state error is resolved at S RHP and the imaginary axis, namely disposes a limit identical with pumping signal.
Below be the further technical scheme of the present invention:
Preferably, described coordinate transform is the rotation transformation of first-harmonic plane.
Preferably, described with the uneven vector of five-phase induction motor output current phase (
) be decomposed into positive sequence 1 frequency multiplication first-harmonic plane vector (
), negative phase-sequence 1 frequency multiplication first-harmonic plane vector (
), positive sequence 1 frequency multiplication three secondary flat vectors (
), negative phase-sequence 1 frequency multiplication three secondary flat vectors (
) and zero sequence 1 frequency multiplication zero sequence plane vector (
); Close between above-mentioned each component and be:
Relation between each group component is respectively
Complex operator a=ej72 in the formula gets formula (1) substitution formula (2):
Formula (3) inverse matrix is:
Five mutually asymmetric electric current through types (4) of output are decomposed into positive sequence 1 frequency multiplication first-harmonic plane, negative phase-sequence 1 frequency multiplication first-harmonic plane, positive sequence 1 frequency multiplication three secondary flats, five kinds of components of negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane.
Preferably, described sine be input as r (t)=-Asin (wt), its
, steady-state error is:
The limit that is positioned on the S imaginary axis is arranged, have
In the formula (6), adjust
Pole and zero guarantees
Limit all be positioned at S left side half-plane, comprise the origin of coordinates, obtaining the systematic steady state error by formula (6) is zero;
Steady-state error is under the sinusoidal input stimulus:
Preferably, a described inhibition times frequency alternating current component inhibition adjuster is
Or
Preferably, described transformation matrix of coordinates is:
Preferably, described
The first-harmonic plane anglec of rotation is to rotate electrical degree synchronously.
Beneficial effect of the present invention mainly contains:
When the present invention is primarily aimed at five-phase induction motor output current imbalance, use symmetrical component method to carry out the analysis of five-phase induction motor output current phase sequence, the output current degree of unbalance is converted into the frequency multiplication primary current component of different coordinate planes, and adopt the modern control theory design to suppress the adjuster of corresponding frequency multiplication primary current component, make under the excitation of input source, error between control object output variable and the adjuster input variable can converge to zero, and make error under the convergence property that requires by regulating regulator parameter, make the stability of a system the highest, can effectively suppress the unbalanced problem of five-phase induction motor output current.
Description of drawings
Fig. 1 is the electric machine control system theory diagram;
Fig. 2 is torque current closed-loop adjustment block diagram;
Fig. 3 is five mutually asynchronous motor frequency conversion drive system control principle block diagrams;
Fig. 4 is that five phase asynchronous machine unsymmetrical currents are at each coordinate plane projection component;
Fig. 5 is five phase asynchronous machine unsymmetrical current waveforms;
Fig. 6 is that five phase asynchronous machine unsymmetrical currents suppress the back at each coordinate plane projection component;
Fig. 7 is that five phase asynchronous machine unsymmetrical currents suppress the after-current waveform;
Fig. 8 is that five phase asynchronous machine unsymmetrical currents suppress the back waveform.
Embodiment
It is as follows that the invention will be further described in conjunction with the accompanying drawings and embodiments:
Embodiment 1:
The unbalanced method of a kind of inhibition five-phase induction motor output current comprises that five-phase induction motor exports uneven phase current phase sequence analytic process and suppress times frequency alternating current component design of Regulator process.
Wherein the uneven phase sequence analytic process of five-phase induction motor output current comprises: the uneven vector of five-phase induction motor output current phase is decomposed into positive sequence 1 frequency multiplication first-harmonic plane, negative phase-sequence 1 frequency multiplication first-harmonic plane, positive sequence 1 frequency multiplication three secondary flats, negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane, component, above-mentioned back four kinds of components are respectively negative phase-sequence 2 frequency multiplication first-harmonic planes, positive sequence 1 frequency multiplication three secondary flats, negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane under coordinate transform projects to rotating coordinate system, reduce this four kinds of components then; Coordinate transform is the rotation transformation of first-harmonic plane in the present embodiment.
In order to suppress five phase asynchronous machines output unsymmetrical current, need to suppress the frequency multiplication primary current component after its projection, therefore need the suitable adjuster of design.The target of design of Regulator is by appropriate design adjuster type, make under the excitation of input source, error between control object output variable and the adjuster input variable can converge to zero, and make systematic error under the convergence property that requires by regulating regulator parameter, make the stability of a system the highest.Suppressing a times frequency alternating current component inhibition design of Regulator comprises: as shown in Figure 1, asynchronous machine input T shaft voltage, output stator T axle equivalent current, asynchronous machine input and output transfer function is delay component
, wherein
,
Stator first-harmonic main inductance,
Rotor first-harmonic main inductance,
The mutual inductance of rotor first-harmonic,
Stator resistance,
Rotor resistance,
First-harmonic rotate synchronously electric angle speed,
Rotor rotation electric angle speed; At adjuster
Middle assigned pole makes that the systematic steady state error is zero under the sinusoidal input signal excitation, and the systematic steady state error is resolved at S RHP and the imaginary axis, namely disposes a limit identical with pumping signal.Make five phase asynchronous machine output current degree of unbalance reduce after adopting the adjuster that designs to regulate, reach and suppress the unbalanced purpose of five phase asynchronous machine output currents.
Embodiment 2:
Different with above-described embodiment is, described with the uneven vector of five-phase induction motor output current phase (
) be decomposed into positive sequence 1 frequency multiplication first-harmonic plane vector (
), negative phase-sequence 1 frequency multiplication first-harmonic plane vector (
), positive sequence 1 frequency multiplication three secondary flat vectors (
), negative phase-sequence 1 frequency multiplication three secondary flat vectors (
) and zero sequence 1 frequency multiplication zero sequence plane vector (
); Close between above-mentioned each component and be:
Relation between each group component is respectively
Complex operator a=ej72 in the formula gets formula (8) substitution formula (9):
Coefficient matrix is nonsingular in the formula (10), and its inverse matrix exists, so have:
Five mutually asymmetric electric current through types (11) of output are decomposed into positive sequence 1 frequency multiplication first-harmonic plane, negative phase-sequence 1 frequency multiplication first-harmonic plane, positive sequence 1 frequency multiplication three secondary flats, five kinds of components of negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane.Suppress the research of method for convenience, can carry out coordinate transform to above-mentioned four kinds of components, project to different coordinate planes, reduce this component then.Transformation matrix of coordinates is chosen as follows:
Wherein
Be the first-harmonic plane anglec of rotation, be generally synchronous rotation electrical degree.
Five phase unsymmetrical currents can project to first-harmonic plane, triple-frequency harmonics plane, zero sequence plane respectively after formula (12) coordinate transform, be respectively negative two frequency multiplication first-harmonic planes, a positive frequency multiplication triple-frequency harmonics plane, a negative frequency multiplication triple-frequency harmonics plane, a positive and negative frequency multiplication zero sequence plane.
Embodiment 3:
Different with above-described embodiment 2 is, as shown in Figure 2,
Sinusoidal input variable excitation is the systematic steady state error down, input r (t)=-Asin (wt), its
So steady-state error is:
(13)
Because
On the S imaginary axis, do not resolve, namely
The limit that is positioned on the S imaginary axis is arranged, so this moment can not be with the final-value theorem of pull-type conversion, as if
Be designed to the PI controller, then:
(14)
So:
Wherein
, when t when infinite,
Be worth non-vanishing, press given hunting of frequency with certain amplitude, other two is zero, so the steady-state error that the traditional PI adjuster can't reach under the excitation of sinusoidal input signal is zero effect, in order to make the sinusoidal input signal excitation down, the systematic steady state error is zero, and the simplest method is assigned pole in adjuster, makes
Resolve at S RHP and the imaginary axis, namely
Limit all be positioned at S left side half-plane (comprising the origin of coordinates), namely dispose a limit identical with pumping signal, its effect equivalence of adjuster that so sinusoidal input stimulus designs is the traditional PI adjuster under the step excitation.
In the formula (16), adjust
Pole and zero guarantees
Limit all be positioned at S left side half-plane (comprising the origin of coordinates), according to the final-value theorem of pull-type conversion, can conveniently obtain the systematic steady state error by formula (16) is zero.
Steady-state error is under the sinusoidal input stimulus:
As seen ought be input as under the sinusoidal excitation, the transmission pi regulator can not be eliminated steady-state error, adopts
Behind adjuster, all can eliminate the steady-state error that is input as under the sinusoidal excitation, do not need specially to add integral element and eliminate static difference, the adjuster that this paper chooses is
Can design the adjuster that suppresses corresponding frequency multiplication component of degree n n according to this rule.
As shown in Figure 3, five mutually asynchronous motor frequency conversion drive systems adopt vector control strategy, add at frequency multiplication primary current component inhibition method at this control strategy, adopt to design and five phase asynchronous machine output current degree of unbalance can be reduced after adjuster is regulated.
In order to simulate the current imbalance phenomenon in the real system, asymmetric simulation is done in impedance to the motor winding, set A phase motor winding stator resistance less than normal 10% in the emulation, D camera winding stator resistance bigger than normal 10%, other is mutually constant, simultaneously sampling resistor is done inconsistent simulation, set C phase sampler resistance less than normal 5% in the emulation, E phase sampler resistance bigger than normal 5%, Fig. 4,5 show when controlling five phase asynchronous machines based on the conventional vector control strategy, five phase output currents occur than large unbalance, it is frequency multiplication subharmonic (Fig. 5 waveform 1 behind its unsymmetrical current coordinate projection, 2 is the first-harmonic plane, waveform 3,4 is three secondary flats, waveform 5 is the zero sequence plane), Fig. 6,7 show when controlling five phase asynchronous machines after the conventional vector control strategy adds the adjuster of design, each current component behind the coordinate projection can be curbed, five phase asynchronous machine output current degree of unbalance are reduced, reach the purpose that suppresses five phase asynchronous machines output unsymmetrical current.
To the uneven inhibition method of the five phase asynchronous machine output currents empirical tests of selecting for use, after taking the uneven inhibition method of five phase asynchronous machine output currents, system stable operation is to rated condition (20HZ, 20MW, actual device is three five phase drivers and one 15 asynchronous machine mutually), 15 phase asynchronous machine passages, 1 output current phase effective value difference is no more than 10A(less than 2%), 15 phase asynchronous machine passages, 1 output current measured value is 0.5 times of actual value (two lines is measured electric current on the single line) among Fig. 8.
By above-mentioned emulation and experimental verification, fully verify the method for the invention validity.
The scope of claim protection of the present invention is not limited to above-described embodiment.
Claims (7)
1. one kind is suppressed the unbalanced method of five-phase induction motor output current, it is characterized in that, comprises that five-phase induction motor exports uneven phase current phase sequence analytic process and suppress times frequency alternating current component design of Regulator process;
The uneven phase sequence analysis of described five-phase induction motor output current comprises:
The uneven vector of five-phase induction motor output current phase is decomposed into positive sequence 1 frequency multiplication first-harmonic plane, negative phase-sequence 1 frequency multiplication first-harmonic plane, positive sequence 1 frequency multiplication three secondary flats, negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane, component, above-mentioned back four kinds of components are respectively negative phase-sequence 2 frequency multiplication first-harmonic planes, positive sequence 1 frequency multiplication three secondary flats, negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane under coordinate transform projects to rotating coordinate system, reduce this four kinds of components then;
Described inhibition times frequency alternating current component suppresses design of Regulator and comprises:
Asynchronous machine input T shaft voltage, output stator T axle equivalent current, asynchronous machine input and output transfer function is delay component
, wherein
,
Stator first-harmonic main inductance,
Rotor first-harmonic main inductance,
The mutual inductance of rotor first-harmonic,
Stator resistance,
Rotor resistance,
First-harmonic rotate synchronously electric angle speed,
Rotor rotation electric angle speed;
2. the unbalanced method of inhibition five-phase induction motor output current as claimed in claim 1 is characterized in that described coordinate transform is the rotation transformation of first-harmonic plane.
3. the unbalanced method of inhibition five-phase induction motor output current as claimed in claim 2 is characterized in that, described with the uneven vector of five-phase induction motor output current phase (
) be decomposed into positive sequence 1 frequency multiplication first-harmonic plane vector (
), negative phase-sequence 1 frequency multiplication first-harmonic plane vector (
), positive sequence 1 frequency multiplication three secondary flat vectors (
), negative phase-sequence 1 frequency multiplication three secondary flat vectors (
) and zero sequence 1 frequency multiplication zero sequence plane vector (
); Close between above-mentioned each component and be:
Relation between each group component is respectively
Complex operator a=ej72 in the formula gets formula (1) substitution formula (2):
Formula (3) inverse matrix is:
Five mutually asymmetric electric current through types (4) of output are decomposed into positive sequence 1 frequency multiplication first-harmonic plane, negative phase-sequence 1 frequency multiplication first-harmonic plane, positive sequence 1 frequency multiplication three secondary flats, five kinds of components of negative phase-sequence 1 frequency multiplication, three secondary flats and zero sequence 1 frequency multiplication zero sequence plane.
4. the unbalanced method of inhibition five-phase induction motor output current as claimed in claim 3 is characterized in that, described sine be input as r (t)=-Asin (wt), its
, steady-state error is:
(6)
In the formula (6), adjust
Pole and zero guarantees
Limit all be positioned at S left side half-plane, comprise the origin of coordinates, obtaining the systematic steady state error by formula (6) is zero;
Steady-state error is under the sinusoidal input stimulus:
5. the unbalanced method of inhibition five-phase induction motor output current as claimed in claim 4 is characterized in that, described inhibition times frequency alternating current component suppresses adjuster and is
Or
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Cited By (3)
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CN106094518A (en) * | 2016-06-22 | 2016-11-09 | 北京航空航天大学 | A kind of structural vibration Pole Assignment Control System method for designing optimized based on Multidisciplinary systems |
CN107769657A (en) * | 2017-10-31 | 2018-03-06 | 苏州海德蓝电气科技有限公司 | A kind of polyphase machine current balance control method theoretical based on Generalized Symmetric component |
CN113113935A (en) * | 2021-03-08 | 2021-07-13 | 武汉船用电力推进装置研究所(中国船舶重工集团公司第七一二研究所) | Power control method for asynchronous power generation system of direct-current power station |
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Cited By (6)
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CN106094518A (en) * | 2016-06-22 | 2016-11-09 | 北京航空航天大学 | A kind of structural vibration Pole Assignment Control System method for designing optimized based on Multidisciplinary systems |
CN106094518B (en) * | 2016-06-22 | 2018-12-21 | 北京航空航天大学 | A kind of structural vibration pole placement control method based on Multidisciplinary systems optimization |
CN107769657A (en) * | 2017-10-31 | 2018-03-06 | 苏州海德蓝电气科技有限公司 | A kind of polyphase machine current balance control method theoretical based on Generalized Symmetric component |
CN107769657B (en) * | 2017-10-31 | 2019-11-22 | 苏州海德蓝电气科技有限公司 | A kind of polyphase machine current balance control method based on Generalized Symmetric component theory |
CN113113935A (en) * | 2021-03-08 | 2021-07-13 | 武汉船用电力推进装置研究所(中国船舶重工集团公司第七一二研究所) | Power control method for asynchronous power generation system of direct-current power station |
CN113113935B (en) * | 2021-03-08 | 2022-05-31 | 武汉船用电力推进装置研究所(中国船舶重工集团公司第七一二研究所) | Power control method for asynchronous power generation system of direct-current power station |
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