CN107846164B - Motor driving system based on MMC and discrete control method thereof - Google Patents
Motor driving system based on MMC and discrete control method thereof Download PDFInfo
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- CN107846164B CN107846164B CN201711096226.6A CN201711096226A CN107846164B CN 107846164 B CN107846164 B CN 107846164B CN 201711096226 A CN201711096226 A CN 201711096226A CN 107846164 B CN107846164 B CN 107846164B
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
- H02P21/0003—Control strategies in general, e.g. linear type, e.g. P, PI, PID, using robust control
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P27/00—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage
- H02P27/04—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage
- H02P27/06—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using dc to ac converters or inverters
- H02P27/08—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using dc to ac converters or inverters with pulse width modulation
- H02P27/14—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using dc to ac converters or inverters with pulse width modulation with three or more levels of voltage
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P2201/00—Indexing scheme relating to controlling arrangements characterised by the converter used
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Abstract
The invention discloses a motor driving system based on a modular multilevel converter and a discrete control method thereof, wherein the system comprises the modular multilevel converter and a motor, and the output end of the modular multilevel converter is connected with the motor; the three-phase bridge comprises three phases, wherein each phase comprises an upper bridge arm and a lower bridge arm, the upper bridge arm and the lower bridge arm respectively comprise N identical submodules and bridge arm inductors which are connected in series, the input end of a first submodule of the upper bridge arm and the output end of a last submodule of the lower bridge arm are respectively connected with a direct current bus, the output end of the last submodule is connected with the input end of the next submodule, and the output end of the last submodule of the upper bridge arm is connected with the input end of the first submodule of the lower bridge arm through the upper bridge arm inductor and the lower bridge arm; the connection point of the upper bridge arm inductor and the lower bridge arm inductor of each phase is the output end of the bridge, and the three output ends are connected with the three phases of the motor. The invention discretizes the motor driving system based on the modular multilevel converter, and realizes the stable operation of the motor under multilevel driving.
Description
Technical Field
The invention relates to a motor drive control technology, in particular to a motor drive system discrete control method based on a Modular Multilevel Converter (MMC).
Background
The Modular Multilevel Converter (MMC) is a novel Multilevel Converter, has a highly Modular structure and high efficiency, is convenient for expanding system voltage and capacity, and realizes industrial production. The modular multilevel converter drives the high-speed permanent magnet motor, a high-voltage multilevel output can be realized by the low-voltage-resistant switch without a large-capacity transformer, the equivalent switching frequency is high, the waveform is closer to a sine wave, and the system loss can be reduced.
For digital control technology, the conventional design of a motor drive controller usually adopts a zero-order keeper method, and the controller is designed in a frequency domain on the assumption that parameters such as voltage, current and the like of a system are kept unchanged in one period. For the motor driving system based on the modular multilevel converter, the data volume is large, and especially in the high-frequency stage, the assumption that the parameters are kept unchanged in one sampling period does not exist. A more accurate mathematical model needs to be established, and a corresponding controller needs to be designed according to the state equation of the model.
Disclosure of Invention
The purpose of the invention is as follows: a Modular Multilevel Converter (MMC) -based motor driving system and a discrete control method thereof are provided to solve the disadvantages of the prior art.
The technical scheme is as follows: the invention discloses a motor driving system based on a modular multilevel converter, which comprises the modular multilevel converter and a motor, wherein the output end of the modular multilevel converter is connected with the motor;
the modular multilevel converter comprises three phases, each phase comprises an upper bridge arm and a lower bridge arm, the upper bridge arm and the lower bridge arm respectively comprise N identical sub-modules SMi, i is 1,2, 1, N and a bridge arm inductor L which are connected in series, the input end of the first sub-module of the upper bridge arm and the output end of the last sub-module of the lower bridge arm are respectively connected with a direct current bus, the output end of the last sub-module of the upper bridge arm is connected with the input end of the next sub-module, and the output end of the last sub-module of the upper bridge arm is connected with the input end of the first sub-module of the lower bridge arm through the upper bridge arm inductor and the lower bridge arm; and the connection point of the upper bridge arm inductor and the lower bridge arm inductor of each phase is the output end of the modular multilevel converter, and the three output ends are connected with three phases of the motor.
Furthermore, the sub-module is a half-bridge module and comprises high-power controllable power electronic switches T1 and T2, two diodes and a capacitor C, wherein T1 and T2 are connected with one diode in anti-parallel, then connected in series and finally connected with the capacitor C in parallel respectively.
Further, the high-power controllable power electronic switches T1 and T2 are insulated gate bipolar transistors.
Furthermore, the number of the upper bridge arm sub-modules and the number of the lower bridge arm sub-modules are even numbers respectively.
In another embodiment, a modular multilevel converter-based motor driving system discrete control method includes the following steps:
(1) establishing MMC output mathematical model equation
According to kirchhoff's law, the bridge arm voltage can be expressed as:
wherein E is the DC bus voltage vpj、vnjJ-phase upper and lower bridge arm voltages, ipj、injJ phases of upper and lower bridge arm currents, ijJ phase current on the AC side, L bridge arm inductance, LsIs the inductance of the motor winding, RsIs the motor winding resistance, ejJ ═ a, b, c for each opposite potential of the motor;
therefore, the MMC output mathematical model equation can be obtained by the bridge arm voltage mathematical model equation:
(2) clarke and Park conversion is carried out on an MMC output mathematical model equation (2) to obtain an MMC output mathematical model under a dq coordinate system:
wherein v isd、vqAre each vjD-and q-axis components transformed into dq-coordinate system, ed、eqAre each ejD-and q-axis components, i, transformed into dq-coordinate systemd、iqAre respectively ijTransforming to d-axis and q-axis components in a dq coordinate system;
according to the MMC output mathematical model equation (4), the following can be obtained:
wherein, ω iseThe angular velocity of the motor;
discretizing (5) to establish a discrete domain model:
wherein the content of the first and second substances,
wherein id(tn)、iq(tn) Are each tnD-axis and q-axis currents v obtained by sampling and calculating at any momentd(tn)、vq(tn) Are each tnD-axis and q-axis voltages calculated at times, ed(tn)、eq(tn) Are each tnMoment motor d-axis and q-axis back-emf, TsIs the current loop sampling period, omegaeThe angular velocity of the motor;
(3) MMC current loop design
The discrete controller design is as follows:
wherein the content of the first and second substances,d-axis and q-axis current instruction values are respectively obtained, K is a control coefficient, and a transfer function under a z domain can be further obtained:
wherein, IdIs id(tn+Ts) In the form of expression in the Z domain,is composed ofIn the Z domain, in order to ensure system stability, and all poles are within the unit circle, K is in the range of 0<K<1;
By the formulae (6) and (10), it is possible to obtain:
therefore, the first and second electrodes are formed on the substrate,
so MMC is t under dq coordinate systemnD-axis and q-axis currents i obtained by sampling and calculating at momentd(tn)、iq(tn) And d-axis and q-axis output voltages v at the next timed(tn+Ts)、vq(tn+Ts) The relationship is as follows:
wherein the content of the first and second substances,
ΦPMis a permanent magnet flux linkage of the motor;
(4) v is to bed(tn+Ts)、vq(tn+Ts) Obtaining three-phase output voltage v through dq/abc conversiona(tn+Ts)、vb(tn+Ts) And vc(tn+Ts) And as a three-phase modulation signal of the MMC, carrying out carrier phase shift modulation on the MMC.
Has the advantages that: compared with the prior art, the motor driving system based on the modular multilevel converter is discretized, a discrete mathematical model is established, the discrete controller of the driving system is designed according to the delay one-beat characteristic of the digital signal processor, and stable operation of the motor under multilevel driving is realized. The discrete control method has the following advantages:
(1) each bridge arm of the modularized multi-level is composed of N sub-modules, the bearing voltage of each sub-module is Vdc/N (Vdc is direct-current bus voltage), the specification requirements on power electronic switching devices are reduced for medium-high voltage high-power occasions, and system capacity expansion is easy to realize;
(2) the modularized multi-level converter has high equivalent switching frequency, reduces the requirement of a motor on high switching frequency of a switching device and system loss, and saves hardware resources;
(3) the designed discrete controller has strong dynamic characteristics and is suitable for actual operation by adopting a digital signal processor;
(4) the stable operation of the motor driving system based on the MMC is realized, and the reliability is high.
Drawings
FIG. 1 is a schematic diagram of a modular multilevel converter based motor drive system topology;
FIG. 2 is a circuit diagram of a modular multilevel converter based motor drive system;
fig. 3 is a schematic diagram of discrete sampling and duty cycle updating of a digital signal processor.
Detailed Description
The invention is further described below with reference to the accompanying drawings.
Fig. 1 is a topological diagram of a motor driving system based on a modular multilevel converter, which is composed of the modular multilevel converter and a motor, and the output end of the modular multilevel converter is connected with the motor. The modular multilevel converter comprises A, B phases and C phases, each phase is formed by connecting an upper bridge arm, a lower bridge arm and a bridge arm inductor L in series, the upper bridge arm and the lower bridge arm respectively comprise N sub-modules SM 1-SMn, and in order to enable the modular multilevel converter to output zero level, the number of the bridge arm sub-modules is even; the connection point of the upper bridge arm inductor L and the lower bridge arm inductor L is an alternating current side electrical interface of the modular multilevel converter, three alternating current nodes are externally connected with the motor, and the circuit topologies of all the submodules SM 1-SMn are the same and are all half-bridge modules.
Each sub-module comprises high-power controllable power electronic switches T1 and T2, and T1 and T2 can be insulated gate bipolar transistors (IGBT for short); anti-parallel diodes of T1, T2; a submodule direct-current capacitor C; each submodule is in a half-bridge structure; the switching devices T1 and T2 are connected in parallel with a diode in reverse, then in series, and then in parallel with the capacitor C. The upper bridge arm and the lower bridge arm are formed by connecting N sub-modules in series, the input end of the first sub-module of the upper bridge arm and the output end of the last sub-module of the lower bridge arm are respectively connected with a direct current bus, and the output end of the last sub-module is connected with the input end of the next sub-module.
A method for discrete control of a motor driving system based on a modular multilevel converter comprises the steps of establishing an MMC output mathematical model equation, establishing a discrete domain model in a discretization mode, designing a discrete controller, calculating a modulation voltage signal of an MMC required at the next moment according to current sampled at the current moment, and carrying out carrier phase shift modulation on the MMC. The method specifically comprises the following steps:
(1) establishing MMC output mathematical model equation
Fig. 2 is a circuit diagram of a motor driving system based on a modular multilevel converter, and according to kirchhoff's law, bridge arm voltages can be expressed as:
wherein E is the DC bus voltage vpj、vnjJ-phase upper and lower bridge arm voltages, ipj、injJ phases of upper and lower bridge arm currents, ijJ phase current on the AC side, L bridge arm inductance, LsIs the inductance of the motor winding, RsIs the motor winding resistance, ejThe motor has opposite potentials, j ═ a, b and c.
Therefore, the MMC output mathematical model equation can be obtained by the bridge arm voltage mathematical model equation:
(2) clarke and Park conversion is carried out on an MMC output mathematical model equation (2) to obtain an MMC output mathematical model under a dq coordinate system:
wherein v isd、vqAre each vjD-and q-axis components transformed into dq-coordinate system, ed、eqAre each ejD-and q-axis components, i, transformed into dq-coordinate systemd、iqAre respectively ijTransformed to d-axis and q-axis components in the dq coordinate system.
FIG. 3 is a schematic diagram of discrete sampling and duty cycle updating of a digital signal processor, showing a carrier period start tnCurrent sampling is carried out at any moment, and the duty ratio obtained by the calculation of the sampling current value is at the next sampling point tn+TsThe time is updated, i.e. there is a delay of one carrier period (current loop sampling period).
According to the state space equation under the continuous time domain:
where X (t) is an n-dimensional state vector, U (t) is an r × 1 input column vector, A is an n × n square matrix, and B is an n × r control matrix.
Discretizing the vector to obtain:
X(tn+Ts)=F(Ts)X(tn)+G(Ts)V (6);
wherein, F (T)s) Is an m × n output matrix, G (T)s) Is an m x r direct transfer matrix.
Rewriting formula (4) as:
wherein, ω iseIs the angular velocity of the motor.
Discretizing the formula (7) to establish a discrete domain model:
wherein the content of the first and second substances,
wherein id(tn)、iq(tn) Are each tnD-axis and q-axis currents v obtained by sampling and calculating at any momentd(tn)、vq(tn) Are each tnD-axis and q-axis voltages calculated at times, ed(tn)、eq(tn) Are each tnMoment motor d-axis and q-axis back-emf, TsIs the current loop sampling period, omegaeIs the angular velocity of the motor.
(3) MMC current loop design
The discrete controller design is as follows:
wherein the content of the first and second substances,d-axis and q-axis current instruction values are respectively obtained, K is a control coefficient, and a transfer function under a z domain can be further obtained:
wherein, IdIs id(tn+Ts) In the form of expression in the Z domain,is composed ofIn the Z domain, in order to ensure the stability of the system, all poles should be within the unit circle, so the range of K is 0<K<1。
By the formulae (8) and (12), it is possible to obtain:
therefore, the first and second electrodes are formed on the substrate,
so MMC is t under dq coordinate systemnD-axis and q-axis currents i obtained by sampling and calculating at momentd(tn)、iq(tn) And d-axis and q-axis output voltages v at the next timed(tn+Ts)、vq(tn+Ts) The relationship is as follows:
wherein the content of the first and second substances,
ΦPMis a permanent magnet flux linkage of the motor.
(4) V is to bed(tn+Ts)、vq(tn+Ts) Obtaining three-phase output voltage v through dq/abc conversiona(tn+Ts)、vb(tn+Ts) And vc(tn+Ts) Namely, the three-phase modulation signal of the MMC.
V required by the next moment is obtaineda(tn+Ts)、vb(tn+Ts) And vc(tn+Ts) The phase shift modulation is carried out on the MMC as a modulation signal of the MMC, so that the modular multilevel converter for the motor driving system can stably operate in practical engineering application adopting a digital signal processor.
The foregoing is only a preferred embodiment of the present invention, and it should be noted that, for those skilled in the art, various modifications and decorations can be made without departing from the principle of the present invention, and these modifications and decorations should also be regarded as the protection scope of the present invention.
Claims (1)
1. A discrete control method of a motor driving system based on a modular multilevel converter is characterized by comprising the following steps:
(1) establishing MMC output mathematical model equation
According to kirchhoff's law, the bridge arm voltage can be expressed as:
wherein E is the DC bus voltage vpj、vnjJ-phase upper and lower bridge arm voltages, ipj、injJ phases of upper and lower bridge arm currents, ijJ phase current on the AC side, L bridge arm inductance, LsIs the inductance of the motor winding, RsIs the motor winding resistance, ejJ ═ a, b, c for each opposite potential of the motor;
therefore, the MMC output mathematical model equation can be obtained by the bridge arm voltage mathematical model equation:
(2) clarke and Park conversion is carried out on an MMC output mathematical model equation (2) to obtain an MMC output mathematical model under a dq coordinate system:
wherein v isd、vqAre each vjD-and q-axis components transformed into dq-coordinate system, ed、eqAre each ejD-and q-axis components, i, transformed into dq-coordinate systemd、iqAre respectively ijTransforming to d-axis and q-axis components in a dq coordinate system;
according to the MMC output mathematical model equation (4), the following can be obtained:
wherein, ω iseThe angular velocity of the motor;
discretizing (5) to establish a discrete domain model:
wherein the content of the first and second substances,
wherein id(tn)、iq(tn) Are each tnD-axis and q-axis currents v obtained by sampling and calculating at any momentd(tn)、vq(tn) Are each tnD-axis and q-axis voltages calculated at times, ed(tn)、eq(tn) Are each tnMoment motor d-axis and q-axis back-emf, TsIs the current loop sampling period, omegaeThe angular velocity of the motor;
(3) MMC current loop design
The discrete controller design is as follows:
wherein,D-axis and q-axis current instruction values are respectively obtained, K is a control coefficient, and a transfer function under a z domain can be further obtained:
wherein, IdIs id(tn+Ts) In the form of expression in the Z domain,is composed ofIn the expression form under the Z domain, in order to ensure the stability of the system, all poles are in a unit circle, so that the range of K is more than 0 and less than 1;
by the formulae (6) and (10), it is possible to obtain:
therefore, the first and second electrodes are formed on the substrate,
so MMC is t under dq coordinate systemnD-axis and q-axis currents i obtained by sampling and calculating at momentd(tn)、iq(tn) And d-axis and q-axis output voltages v at the next timed(tn+Ts)、vq(tn+Ts) The relationship is as follows:
wherein the content of the first and second substances,
ΦPMis a permanent magnet flux linkage of the motor;
(4) v is to bed(tn+Ts)、vq(tn+Ts) Obtaining three-phase output voltage v through dq/abc conversiona(tn+Ts)、vb(tn+Ts) And vc(tn+Ts) And as a three-phase modulation signal of the MMC, carrying out carrier phase shift modulation on the MMC.
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CN104811069A (en) * | 2015-05-13 | 2015-07-29 | 山东大学 | Prediction control method for modularized multi-level inverter |
GB2538270A (en) * | 2015-05-13 | 2016-11-16 | Offshore Renewable Energy Catapult | Power converter |
CN106329979A (en) * | 2016-10-08 | 2017-01-11 | 东南大学 | MMC double circulation suppression method for high-speed permanent magnet motor system |
CN106385214A (en) * | 2016-09-29 | 2017-02-08 | 东南大学 | High-speed permanent magnet synchronous motor control method based on modular multilevel converter |
CN106451531A (en) * | 2016-09-09 | 2017-02-22 | 湖南大学 | Multi-phase and high-power generation-conversion integrated system and control method thereof |
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CN104811069A (en) * | 2015-05-13 | 2015-07-29 | 山东大学 | Prediction control method for modularized multi-level inverter |
GB2538270A (en) * | 2015-05-13 | 2016-11-16 | Offshore Renewable Energy Catapult | Power converter |
CN106451531A (en) * | 2016-09-09 | 2017-02-22 | 湖南大学 | Multi-phase and high-power generation-conversion integrated system and control method thereof |
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