Open winding permanent magnet motor zero-sequence current 2DOF PI control methods
Technical field
The present invention relates to electric system and control field, more particularly to one kind to open winding permanent magnet motor zero-sequence current controlling party
Method.
Background technology
It is by the neutral point opening of conventional three-phase alternating current generator to open winding electric machine, and it is open to form the winding with dual-port
Structure.The magnetic circuit and structure of motor do not have any change, open the basic performance that winding construction motor does not change conventional motors, and
Restriction relation after being opened due to neutral point between each phase machine winding is no longer present, and each phase winding is independent, can be certain
The reliability of motor body and the fault-tolerant ability of motor driven systems are improved in degree.Opening two ports of winding electric machine can distinguish
Converter is connected, control is coordinated by the converter of two-port, each converter can be made to undertake the power of half, it is preferably full
Foot heavy-duty motor system becomes the demand to parallel operation, therefore the research for opening winding electric machine control technology turns into current alternating current generator
The important expansion direction of research.At present, open winding permanent magnet motor drive system because have concurrently conventional permanent magnet motor high power density,
High efficiency, high performance feature and the new direction for having become electric system development the advantages of open winding electric machine.
The difference of current transformer power supply mode is connect according to winding both ends, single electricity can be divided into by opening winding permanent magnet motor drive system
The common DC bus type of source power supply and two kinds of topological structures of isolated form of dual power supply.Compared with isolated form structure, common direct current
Bus type structure is used widely because of its relatively low cost and less volume.In the class formation, due to current transformer, motor
Loop is formed with dc bus, zero-sequence current can be formed in the loop when current transformer output voltage contains common mode component, this meeting
Motor shaft and switching device are damaged, therefore in the control of winding electric machine is opened, the suppression to common-mode voltage is a weight
Want content.
Open use of winding permanent magnet motor zero-sequence current control more at present and be based on feedback, the more adoption rates of controller
Resonance (PR) controller uses the common-mode voltage penalty method based on phaselocked loop (PLL).PR controllers need the parameter adjusted compared with
More and complex, the common-mode voltage penalty method based on phaselocked loop needs to add additionally on the basis of zero axle controller is added
Phaselocked loop, structure are complex.Therefore the research simpler controller of parameter tuning has important engineering application value.
The content of the invention
The invention provides a kind of magneto zero-sequence current 2DOF PI control methods, instant invention overcomes tradition to open
PR attitude conirols are complicated and electric using the common mode based on phaselocked loop in winding permanent magnet motor zero-sequence current feedback control
Baroque deficiency in penalty method is pressed, proposes a kind of simpler reliable new controller of parameter tuning, it is as detailed below to retouch
State:
Opening winding permanent magnet motor zero-sequence current 2DOF PI control principles is, will by postponing 120 ° and 240 ° of electrical angles
Zero axle single phase ac loop expands to virtual three-phase loop, and in the virtual three-phase loop, the former single-phase loop of zero axle be a phases, is passed through
The two-phase for postponing to obtain is as b phases and c phases;Virtual three-phase interchange of circuits to dq0 coordinate systems, realization are exchanged by coordinate transform
Measure the conversion of DC quantity;
2DOF PI controllers are designed as zero axle controller, the output transform of 2DOF PI controllers is quiet to three-phase
3 components of a, b, c-axis are only obtained under coordinate system, a axis components are applied to the suppression modulated link and realize zero-sequence current;
The controller parameter of the 2DOF PI controllers only has a controller bandwidth, is easy to parameter tuning;
The 2DOF PI controller architectures are as follows:
In formula, u0dq,refExported for 2DOF PI controllers;u'0dqFor the output of conventional PI control device;k1cIt is for feedback
Number;S is Laplace operator;i0dq,refFor zero axle loop reference value under dq coordinate systems;i0dqIt is anti-for zero axle loop under dq coordinate systems
Feedback value;αcFor controller bandwidth;ω3rFor triple-frequency harmonics angular rate;L0For zero axle inductance;RaFor virtual active pull-up.
The controller also includes:
The PWM in the computation delay time to the sampling period and half of sampling period is prolonged respectively under α β coordinate systems
The slow time compensates.
The beneficial effect of technical scheme provided by the invention is:
1st, the zero-sequence current feedback controller in the present invention uses 2DOF PI (2DOF-PI) controller, controller parameter
Only one (controller bandwidth αc), and without additional phase lock loop link, simplify the structure and parameter tuning process of controller;
2nd, overcome tradition open in winding permanent magnet motor zero-sequence current feedback control PR attitude conirols it is complicated and
Using baroque deficiency in the common-mode voltage penalty method based on phaselocked loop, a variety of needs in practical application are met.
Brief description of the drawings
Fig. 1 is to open winding permanent magnet motor zero-sequence current 2DOF PI control structure figures;
Wherein, it is zero sequence loop control unit in dashed box.
In figure, θmFor rotor mechanical angle;θ is fundamental wave electrical angle;ωmFor mechanical separator speed;ωm,refFor the given reference in outside
Mechanical separator speed, pass through external speed ring feedback control;I is exported by rotating speed outer shroudq,refAs the set-point of current inner loop q axles, d axles
Set-point id,refIt is given by outside, and id,ref=0.
By current inner loop feedback control, after coordinate transform, reference voltage u under α β coordinates is obtainedα,refAnd uβ,ref,
Coordinate zero-sequence current controller output common mode Voltage Reference amount u0, switching signal S is generated after space vector modulationabc,1With
Sabc,2It is applied to current transformer, you can realize the control to motor.
Fig. 2 is zero sequence loop equivalent circuit diagram;
In figure, e0It is motor back-emf three times, u01And u02It is common-mode voltage caused by two current transformers respectively, i0It is zero sequence
Electric current.
Fig. 3 is the virtual three-phase loop equivalent circuit diagram after extension.
In figure, upper dashed box represents a phase of original zero axle as virtual three-phase loop, and lower dashed box is represented after delay disposal
The b phases and c phases of obtained fictitious zero sequence loop system.
u0a、i0a、e0aCurrent transformer output common mode voltage u in respectively former zero sequence loop0, zero-sequence current i0, back-emf three times
e0.It is convenient for statement, below using u0、i0、e0Represent.
u0b、i0b、e0bRespectively u0、i0、e0Obtained by postponing 120 ° of electrical angles;u0c、i0c、e0cRespectively u0、i0、e0Through
240 ° of electrical angles of delay are crossed to obtain.
Embodiment
To make the object, technical solutions and advantages of the present invention clearer, embodiment of the present invention is made below further
It is described in detail on ground:
Embodiment 1
The embodiments of the invention provide a kind of common DC bus type to open winding permanent magnet motor control system, and the control system is adopted
With Three-loop control, i.e. speed outer shroud, current inner loop, zero-sequence current control ring.Three control rings use 2DOF PI (2-
DOF PI) controller, its medium velocity outer shroud and current inner loop be designed with reference to existing document and adjust, and this patent is not entering to this
Row explanation.Zero-sequence current control ring is the core of the embodiment of the present invention, and this is described in detail the embodiment of the present invention.
In back-emf three times in only considering motor, the zero-sequence current in motor mainly contains triple-frequency harmonics.In the present invention
In embodiment, after obtaining zero-sequence current, by the delay of certain time (specific time delay is calculated by rotor velocity,
The embodiment of the present invention is without limitation), the zero-sequence current that sampling obtains is postponed into 120 ° of electrical angles and 240 ° of electrical angles respectively,
Three-phase alternating current so can be formed by the zero-sequence current collected and the electric current obtained through delay, similarly to back-emf three times
Same processing is carried out, i.e., single-phase zero sequence loop is expanded into virtual three-phase circuit system.
By coordinate transform (translation-angle is 3 times of fundamental wave electrical angle), virtual three-phase circuit system is transformed into two-phase
Under rotating coordinate system (i.e. dq coordinate systems, the coordinate system angular velocity of rotation are 3 times of fundamental wave angular rate), zero sequence is thus realized
Conversion of the loop of ac to DC quantity.
Zero sequence loop control unit uses the PI controllers of 2DOF, when zero-sequence current reference value is set to 0 i.e. achievable pair
The control of zero-sequence current.Particularly, when the harmonic wave of other numbers in motor need to be considered, it is only necessary to change time delay.
In summary, for the embodiment of the present invention by using 2DOF PI controllers, controller parameter only has (a control
Device bandwidth αc), and without additional phase lock loop link, simplify the structure and parameter tuning process of controller.
Embodiment 2
With reference to Fig. 1-Fig. 3, and specific calculation formula is further introduced the scheme in embodiment 1,
It is described below:
Fig. 1 show out winding permanent magnet motor zero-sequence current 2DOF PI control structure figures, speed outer shroud and current inner loop
All controlled using 2-DOF PI.The design and parameter tuning method of speed outer shroud and current inner loop refer to conventional motors closed-loop control
Design method, and existing lot of documents is explained in detail to this, the embodiment of the present invention is not repeated this.Introduce below
The design of zero sequence loop control unit:
When double convertor is powered, if the common-mode voltage of two current transformer outputs is respectively u01、u02, then it is applied on motor
Common-mode voltage u0For:
u0=u01-u02 (1)
When only considering the triple-frequency harmonics in back-emf, back-emf e three times0Expression formula is:
e0=-ω3rψf3sin(3θ) (2)
In formula, Ψf3For rotor flux third-harmonic component, ω3rFor triple-frequency harmonics angular rate, θ is fundamental wave electrical angle.
Wherein, ω3rWith fundamental wave angular rate ωrRelation be:
ω3r=3 ωr (3)
Now zero sequence loop equation is:
In formula, R is armature resistance, L0For zero sequence loop inductance, i0For zero sequence loop current.Zero sequence loop is represented by Fig. 2
It is shown.
By time delay expansion it is virtual three-phase loop system by zero sequence loop in order to which zero sequence loop current is converted into DC quantity
System, concrete operations are as follows:
Obtained zero-sequence current i will be measured0A phases i as three-phase current after extension0a, a phase currents are delayed respectively
120 ° of electrical angles and 240 ° of electrical angles, obtain other biphase current i0bAnd i0c, thus obtained virtual three-phase circuit system
Electric current.Similarly, will back-emf e three times0A phases e as three-phase voltage after extension0a, postpone 120 ° and 240 ° of electrical angles respectively, obtain
To other two-phase e0bAnd e0c, the voltage of virtual three-phase circuit system is so just constituted, as shown in Figure 3.
Virtual three-phase circuit system obtained above is transformed under dq coordinate systems, is so achieved that of ac to direct current
The conversion of amount.Build the delay time t used during virtual three-phase circuit systembAnd tc(120 ° of delay corresponds to tb, delay and
240 ° correspond to tc) according to the rotational speed omega of rotormObtain, i.e.,:
In formula, npFor number of pole-pairs.Virtual three-phase circuit system after extension is transformed under dq coordinates, its mathematical modeling
For:
In formula, i0dqFor zero-sequence current under dq coordinates, u0dqFor common-mode voltage under dq coordinates, L0For zero axle inductance, R is stator
Resistance.
Input disturbance E using the back-emf in virtual three-phase circuit system as zero axle, then have:
E=j ω3rψf3 (7)
The transmission function that virtual three-phase circuit system can be obtained by formula (6) is represented by:
Wherein, s is Laplace operator.
2DOF-PI controllers are to add feedback element on the basis of conventional PI control device.2-DOF PI expression formula
For:
Wherein, u0dq,refFor the output of 2DOF-PI controllers;u'0dqFor the output of conventional PI control device;k1cIt is for feedback
Number;kpFor PI controller proportionality coefficients;kiFor PI controller integral coefficients;i0dq,refFor zero-sequence current reference value under dq coordinate systems.
From above formula (9), by i0dqGenerate u0dqConventional PI control device is used during '.
When zero sequence loop is controlled using 2-DOF PI, controller design method is described below:
It can be seen from the equation (6) of virtual three-phase circuit system there is coupling in dq axles.Introducing Current Feedback Control is simultaneously right
Dq decoupler shafts (eliminate the complex coefficient part in equation), if:
u0dq=u'0dq+(jω3rL0-Ra)i0dq (10)
In formula, RaFor the virtual active pull-up of introducing.Formula (10) is brought into virtual three-phase circuit system equation (6) and obtained:
Complex coefficient is not present in above formula (11) in electric current, that is, realizes the decoupling of dq shaft currents.Using E as input disturbance
When, now u0dq' to i0dqTransmission function be represented by:
Known by above formula (9), by i0dqGenerate u0dqWhen conventional PI control device is used during ', i.e.,:
If a width of α of controller bandc, then:
And:
So the control structure that can obtain 2-DOF PI is:
In formula, u0dq,refExported for 2-DOF PI controllers.
It is T when the control system sampling period in systems in practice usually using digital controlsWhen, at this moment in the presence of system
Between be TdControl delay (time delay is made up of two parts, i.e. the time is TsComputing relay and the time be 0.5TsPWM
Modulation postpones, now Td=1.5Ts), in order to improve the control performance of control system, it is necessary to be compensated to this delay.It is common
Compensation method is compensated under two rest frames (i.e. α β coordinate systems).
By u0dq,refTransform under α β coordinate systems, as consideration time bias (time delay Td=1.5Ts) when, have:
In formula, u0αβ,refFor the reference voltage in α β coordinates.
By u0αβ,refTransform under three phase static coordinate, then a phase voltages are designated as u0a, by u0aOutput as zero sequence controller
(u0) be applied to PWM link and the closed-loop control of zero-sequence current can be achieved (PWM strategy may be referred to relevant text
Offer[1], do not elaborate herein).
In summary, for the embodiment of the present invention by using 2DOF PI controllers, controller parameter only has (a control
Device bandwidth αc), and without additional phase lock loop link, simplify the structure and parameter tuning process of controller.
Bibliography
[1]Zhou Y,Nian H.Zero-Sequence Current Suppression Strategy of Open-
Winding PMSG System With Common DC Bus Based on Zero Vector Redistribution
[J].IEEE Transactions on Industrial Electronics,2015,62(6):3399-3408.
To the model of each device in addition to specified otherwise is done, the model of other devices is not limited the embodiment of the present invention,
As long as the device of above-mentioned function can be completed.
It will be appreciated by those skilled in the art that accompanying drawing is the schematic diagram of a preferred embodiment, the embodiments of the present invention
Sequence number is for illustration only, does not represent the quality of embodiment.
The foregoing is only presently preferred embodiments of the present invention, be not intended to limit the invention, it is all the present invention spirit and
Within principle, any modification, equivalent substitution and improvements made etc., it should be included in the scope of the protection.