CN114189187A - Parameter design method for LC filter of high-power high-speed motor - Google Patents
Parameter design method for LC filter of high-power high-speed motor Download PDFInfo
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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
- H02P21/0021—Control strategies in general, e.g. linear type, e.g. P, PI, PID, using robust control using different modes of control depending on a parameter, e.g. the speed
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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
- H02P21/14—Estimation or adaptation of machine parameters, e.g. flux, current or 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
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
- H02P21/14—Estimation or adaptation of machine parameters, e.g. flux, current or voltage
- H02P21/18—Estimation of position or speed
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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
- H02P21/22—Current control, e.g. using a current control loop
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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
- H02P25/00—Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details
- H02P25/02—Arrangements or methods for the control of AC motors characterised by the kind of AC motor or by structural details characterised by the kind of motor
- H02P25/022—Synchronous motors
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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
- H02P27/085—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 wherein the PWM mode is adapted on the running conditions of the motor, e.g. the switching frequency
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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
- H02P6/00—Arrangements for controlling synchronous motors or other dynamo-electric motors using electronic commutation dependent on the rotor position; Electronic commutators therefor
- H02P6/34—Modelling or simulation for control purposes
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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
- H02P2207/00—Indexing scheme relating to controlling arrangements characterised by the type of motor
- H02P2207/05—Synchronous machines, e.g. with permanent magnets or DC excitation
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Abstract
The invention discloses a parameter design method for an LC filter of a high-power high-speed motor, and belongs to the technical field of calculation, calculation or counting. The method first establishes constraints that take into account the operation of the high speed motor, including current, voltage, power, losses, stability and volume. On the basis, the analytical expressions of active damping parameters, inverter side inductance parameters and capacitance parameters are deduced based on a comprehensive constraint equation and a high-power high-speed motor transfer function model taking LC filters into account, theoretical guidance is provided for parameter design of the LC filters at the front ends of the motors, and efficiency and rationality of parameter design of the filters are effectively improved. The method for designing the parameters of the LC filter of the high-power high-speed motor can fully consider the dynamic performance of the high-speed motor on the premise of ensuring the suppression of the current harmonics of the motor, has simple calculation process, is easy for engineering application and has better practical value.
Description
Technical Field
The invention discloses a parameter design method for an LC filter of a high-power high-speed motor, and belongs to the technical field of calculation, calculation or counting.
Background
Under the condition of limited switching frequency, the harmonic content in the stator current of the high-speed permanent magnet synchronous motor is higher, which causes that the high-speed high-power permanent magnet synchronous motor usually has larger harmonic loss, seriously limits the operating efficiency of the high-speed motor and even possibly influences the safe and stable operation of the motor. The most effective way to suppress high-frequency current harmonics is to serially connect a filter in a line, and among them, an LC filter has recently attracted much attention for harmonic suppression of high-speed motors because of its small required inductance and high harmonic suppression efficiency. The LC filter and the motor inductance combine to form an LCL type filter structure. In the high frequency band, the capacitor has very low impedance to current harmonics; however, the impedance of the capacitor branch is high in the low frequency band, the influence on the characteristics of the low frequency band is small, and the overall response performance of the system is guaranteed.
The basic principle of LC filter parameter design is to fully combine the specific application requirements of the high-speed high-power permanent magnet synchronous motor, comprehensively consider the voltage limit constraint, the current limit constraint and the power constraint when operating under the rated working condition, and reduce the required filter capacity as much as possible on the premise of hardly influencing the harmonic loss suppression capability.
In the article of A Novel Filter Design Method for Grid-finished Inverters by Kiarash Gharani Khajeh, an LCL Filter parameter Design Method based on accurate maximum ripple current calculation is provided, Filter parameters are used as input variables, and the use amount of inductance on the side of an inverter is reduced by solving a multivariable objective function numerical value optimal solution.
Tsai-Fu Wu in An Improved resonance Frequency Based Systematic LCL Filter Design Method for Grid-Connected Inverter, provides An optimal parameter Design Method for reducing the sensitivity of the resonance Frequency and improving the robustness of the system. However, the reduction in resonance sensitivity leads to a rapid increase in the optimized inductance and capacitance capacity. Therefore, this method does not sufficiently consider the constraint of the filter volume, and the design practicality is reduced.
Poongothai provides a parameter optimal Design method Based on a value function in Design of LCL Filter for Grid-interface PV System Based on Cost Minimization. However, the method is biased to numerical optimization, lacks theoretical support, and the quality of the design performance depends on the selection of the weight coefficient.
In the article of A Magnetic Integrated LLCL Filter for Grid-Connected Voltage-Source Converters by Jingyang Fan, an LC Filter is designed into a Magnetic integration type Filter, a Magnetic integration technology is adopted, a plurality of inductors are Integrated, the size and the weight are reduced, resonance suppression is realized based on self mutual inductance of the Filter, but the resonance suppression effect of the method depends on matching of mutual inductance parameters, and the system coupling degree is high.
In summary, the existing LC filter design method is based on two starting point development analyses of the improvement of the filter performance and the reduction of the filter volume, and is difficult to adapt to the operation constraint requirement and the dynamic performance requirement of the high-speed motor. The invention aims to provide a parameter design method which emphasizes the application requirements of a high-speed high-power permanent magnet synchronous motor, provides an analytic parameter design scheme, can flexibly adjust constraint conditions according to the operation working conditions of the motor, and improves the efficiency and the rationality of filter parameter design.
Disclosure of Invention
The invention aims to provide a method for designing parameters of an LC filter of a high-power high-speed motor, aiming at overcoming the defects of the background art, and improving the parameter design efficiency and pertinence of a preposed LC filter of the high-power high-speed permanent magnet synchronous motor by flexibly adjusting constraint conditions in the process of transfer function analysis, thereby solving the technical problem that the conventional LC filter parameter design method is difficult to adapt to the operation constraint requirement and the dynamic performance requirement of the high-speed motor.
The invention adopts the following technical scheme for realizing the aim of the invention:
an LC filter parameter comprehensive design method for a high-speed high-power motor. Firstly, establishing a comprehensive constraint equation according to motor parameters, inverter operation parameters and the like; secondly, deducing an optimal inductance solution based on the relation between the total inductance and the resonant frequency, and carrying out value taking by combining three constraint conditions of voltage, volume and stability; then, a capacitance parameter analysis optimization result is given according to the current ripple attenuation rate, and values are taken by combining four constraint conditions of current, power, loss and stability; and finally, deducing and calculating to obtain an active damping parameter analysis result according to a basic transfer function characteristic equation from the voltage of the inverter to the current of the motor and the values of the optimal inductance and the optimal capacitance.
Further, an optimal inductance solution is derived based on the relationship between the total inductance and the resonant frequency, and a specific method for taking values by combining three constraint conditions of voltage, volume and stability is as follows:
keeping the ratio of the resonant frequency to the sampling frequency constant, and obtaining an inductance value satisfying the volume constraint as an inverter side inductance value Lopt1；
The inverter current ripple coefficient is introduced to represent the ratio of the maximum current ripple to the rated fundamental wave current amplitude, and the inductance minimum value L 'meeting the stability constraint is obtained'min，
Introducing a voltage utilization coefficient to represent the maximum safe utilization rate of the DC bus voltage of the inverter under a rated state, and acquiring the maximum value L 'of inductance meeting voltage constraint'max，
Selecting the maximum value of inductance meeting voltage constraint and the minimum value of inductance value meeting volume constraint, and selecting the maximum value from the minimum value and the minimum value of inductance meeting stability constraint as the optimal inductance solution L'opt，L′opt＝max{L′min,min{L′max,Lopt1}}。
Further, a specific method for providing a capacitance parameter analysis optimization result according to the current ripple attenuation rate and carrying out value taking by combining four constraint conditions of current, power, loss and stability is as follows:
introducing a current ripple wave truncation attenuation rate to obtain a capacitance value C meeting harmonic loss constraintopt1，
Obtaining a maximum value C of capacitance satisfying a power constraintmax1；
Obtaining a maximum value C of a capacitor satisfying a current constraintmax2；
Obtaining the maximum value and the minimum value C of the capacitance satisfying the stability constraintmax3，Cmin1；
Selecting a maximum value from the capacitance values meeting the harmonic loss constraint and the capacitance minimum values meeting the stability constraint, and selecting a minimum value from the maximum values, the capacitance maximum values meeting the power constraint, the capacitance maximum values meeting the current constraint and the capacitance maximum values meeting the stability constraint as a capacitance optimal solution Copt，Copt＝min{Copt2,Cmax1,Cmax2,Cmax3}，Copt2＝max{Copt1,Cmin1}。
Further, according to the basic transfer function characteristic equation from the inverter voltage to the motor current and the values of the optimal inductance and the optimal capacitance, the specific method for deriving and calculating the analysis result of the active damping parameter comprises the following steps: based on the principle that the amplitude transfer function is monotonically decreased along with the frequency, an active damping parameter analytical formula is derived according to the explicit relation between the optimal active damping and the inductance parameter and the capacitance parameter:
furthermore, in the parameter comprehensive design method, the required related motor operation parameters are obtained by direct input or analytic calculation, and a numerical calculation link is not included.
Further, in the parameter comprehensive design method, when the proportion of the motor side resistor is large, an analytical expression obtained based on simplified calculation may have errors, and in order to obtain higher calculation accuracy, an active damping parameter calculation result may be obtained by adopting an implicit function numerical calculation mode.
Further, in the parameter comprehensive design method, the transfer function of the ripple attenuation rate of the motor current is obtained by derivation according to a physical equation of a high-speed motor system with an LC filter, and the actual ripple attenuation coefficient needs to be reasonably selected according to the actual operation performance and the operation constraint of the high-speed permanent magnet synchronous motor.
Further, in a link of verifying a parameter comprehensive design result, a rotating speed loop and a current loop in the motor controller adopt a PI control strategy.
By adopting the technical scheme, the invention has the following beneficial effects: (1) under the background of inverter power supply, the inverter operation constraint and the motor operation constraint can be comprehensively considered, and the safety of a parameter design result is higher; (2) on the premise of ensuring the filtering requirement, the design scheme can effectively reduce the volume and the capacity of the filter and the cost through the reasonable design of parameters, and the economy of the parameter design scheme is higher; (3) the parameter comprehensive design method provided by the invention has the advantages of higher analysis degree, more comprehensive consideration factors, capability of adapting to various different application working condition requirements and higher practicability of the parameter design scheme.
Drawings
Fig. 1 is a basic block diagram of a high power high speed motor drive system with an LC filter.
Fig. 2 is a flow chart of a constrained LC filter parameter synthesis design.
Fig. 3 is a waveform diagram of a high-speed motor simulation current without using an LC filter.
Fig. 4 is a high-speed motor simulation current waveform diagram adopting the parameter design method provided by the invention.
Fig. 5 is a simulated current spectrum diagram of a high-speed motor using the parameter design method of the present invention.
Detailed Description
The technical scheme of the invention is explained in detail in the following with reference to the attached drawings.
As shown in fig. 1, based on the physical characteristics of the motor inductance, the parallel capacitance, and the inverter-side inductance, the following dq coordinate equation can be established:
wherein u'd、u′qD-axis voltage and q-axis voltage, u, respectively, at the output end of the inverterd、uqAre respectively d-axis voltage and q-axis voltage, i'd、i′qD-axis current and q-axis current i on the inverter sided、iqD-axis current and q-axis current at motor side, Ld、LqD-axis equivalent inductance and q-axis equivalent inductance, omega, of the motor respectivelyeFor synchronous speed, psi, of permanent-magnet machinesfFor rotor permanent magnet flux linkage, RsIs the motor stator resistance.
After the LC filter is added, the open-loop model of the motor current is changed from first order to third order, and the model tends to be complex. Reasonable LC filter parameters and active damping parameters are important for efficient and stable operation of a system, the LC filter parameters need to be selected by comprehensively considering multiple constraint conditions, and the parameters are reasonably designed according to the principle of optimal performance under the constraint conditions.
The implementation process of the present invention will be described in detail by taking the filter design of a high-power high-speed motor as an example.
As shown in the parameter design flow chart of fig. 2, the basic parameter of the motor, stator resistance R, is first setsMotor inductor LdAnd LqRated synchronous speed omega of motorePermanent magnet linkage psi of rotorfAnd associated inverter constraint parameters (maximum phase voltage U)smMaximum phase current IsmApparent power capacity Ssm) As model input parameters. The invention brings the following six constraints into an index system in the parameter design process: current constraints, voltage constraints, power constraints, stability constraints, loss constraints, volume constraints.
Because the outlet end of the inverter is connected with the filter capacitor in parallel, the current on the side of the inverter also comprises reactive current injected into the capacitor, and the current constraint model can be expressed as the following current constraint after being sorted:
the voltage constraint needs to take into account the effect of the inverter-side filter inductance voltage drop. By trimming and neglecting the small voltage drop caused by the capacitance, the following voltage constraints can be obtained:
in addition, the constraint of the maximum power capacity of the inverter needs to be considered in the filter design process, and the power constraint can be expressed as follows:
wherein, PrateTo rated haveWork power, QmTo output reactive power.
The stability constraint then needs to satisfy the following equation:
5*fc≤fres≤0.5*fs(4) wherein f iscIs the current loop passband cutoff frequency, fresIs the resonant frequency, fsIs the sampling frequency.
On the premise of meeting the constraint, the volume and the loss are used as optimization targets, and the optimal parameters in the constraint range are solved.
When the ratio of the resonant frequency to the sampling frequency is kept to be constant, and the inductance at the side of the inverter and the inductance of the motor are equal, the total inductance capacity and the total capacitance capacity can be minimized, which accords with the principle of minimum volume constraint, and the inductance value is taken as
Lopt1＝Ls (5)
The selection of the inductance also needs to consider the limitations of various constraint conditions simultaneously, and the constraint conditions to be considered in the motor control are the limitation of the maximum current ripple at the inverter side and the limitation of the rated rotating speed and voltage limit circle respectively.
For the constraint of the maximum current ripple at the inverter side, the minimum value of the inductance at the inverter side is limited, and the requirement of the constraint of the system operation stability is reflected, so that the minimum inductance based on the SVPWM (space vector pulse width modulation) strategy can be represented as
Wherein, VdcFor bus voltage, TswFor the switching period, the current ripple coefficient k of the inverter is introducedciCharacterizing the ratio of the maximum current ripple to the nominal fundamental current amplitude, ImrRepresenting the fundamental current rating.
In order to ensure that the voltage utilization rate in a rated state is reserved, a voltage utilization coefficient k is introduceduThe maximum safe utilization rate of the bus voltage under the rated state is represented, the requirement on voltage constraint is reflected, and the following inductance maximum value constraint can be obtained by deduction:
the finally selected optimum inductance can then be expressed as
L′opt＝max{L′min,min{L′max,Lopt1}} (8)
On the basis of completing the design of the optimal inductance parameter, the current ripple cut-off attenuation rate k is introducedrto(krto<1) The constraints on harmonic losses are characterized. Based on the requirement of the high-speed high-power motor system on the current ripple cut-off attenuation rate, the current ripple cut-off attenuation rate can be directly calculated according to the following formula:
wherein, ω isswIs the switching frequency.
The finally selected capacitance parameter is the greater of the two minimum values, i.e. the
(LsC)opt1＝max{(LsC)min1,(LsC)min2} (11)
The filtering capacitor is selected according to the formula (11) and the formula (12), so that the least capacitor consumption can be realized under the condition of optimal harmonic loss.
The value of the capacitance is selected in consideration of the harmonic attenuation rate krtoBesides, reactive power constraint, current limit circle constraint and resonance frequency constraint need to be fully considered. Considering the reactive power constraint of equation (3), a capacitance maximum constraint C can be obtainedmax1(ii) a Considering the current limit circle constraint of equation (1), the capacitance maximum can be obtainedLarge value constraint Cmax2(ii) a Considering the resonance frequency constraint of equation (4), the capacitance constraint values C can be obtained separatelymax3，Cmin1. Then, according to the optimized calculation result and the constraint condition, the optimal capacitance value is
Copt2＝max{Copt1,Cmin1} (13)
Copt＝min{Copt2,Cmax1,Cmax2,Cmax3} (14)
Based on the characteristic function E (j ω) of the transfer function from the inverter voltage to the motor side current amplitude, it can be known that the following explicit relationship is satisfied between the optimal active damping and the inductor-capacitor parameter:
wherein L issRepresenting the mean value of the inductance, R, of the motorc_optIndicating optimal active damping.
If the per unit value D of the stator resistance parameterratio<3 percent, the equation (15) can be solved linearly, the solving precision of the optimal resistance expression is high, otherwise, the optimal active damping is solved in a numerical mode, namely, the value of the optimal active damping is calculated in an iterative mode.
And after the optimal active damping is solved, judging whether stability constraint is met, if not, increasing the ripple attenuation rate, re-analyzing the optimal inductance and the optimal capacitance, further acquiring the optimal active damping, and if so, ending the parameter optimization process.
The optimal active damping selected according to the method can realize complete inhibition of resonance, effectively avoids influence of overlarge active damping parameters on the operation phase of the motor passband, and ensures the dynamic performance of the high-speed motor.
In conclusion, the parameter design of the inverter side inductor is expanded by combining voltage constraint and stability constraint under the principle of optimal volume; the parameter design of the parallel capacitor is expanded by combining power constraint, current constraint and stability constraint under the principle of optimal harmonic loss; on the basis of realizing inductor and capacitor design, the parametric design of the active damping resistor is realized based on the principle of critical monotonic decrease of the resonance peak value, and the dynamic performance requirement of the high-speed motor is fully ensured on the premise of meeting stability constraint. In order to realize stability constraint, voltage constraint and loss constraint in the design scheme, current ripple coefficients k of the inverter are respectively definedciVoltage utilization coefficient kuCurrent ripple cutoff attenuation ratio krtoAnd a plurality of utilization coefficients are obtained, so that the characteristic that the LC filter parameter design method can be flexibly adjusted according to different high-speed motor operation conditions is fully reflected, and the method has strong practicability.
A control model of a high-power high-speed permanent magnet synchronous motor is established in MATLAB, and the current waveform under the condition of not connecting an LC filter is recorded, as shown in fig. 3. Meanwhile, a filter designed according to the parameter design theory is connected, the obtained three-phase current waveform is shown in fig. 4, and a corresponding analysis result of the phase a current THD is shown in fig. 5. The comprehensive parameter design method can effectively ensure the harmonic suppression performance of the high-speed high-power motor under the rated working condition while reducing the consumption of the inductor and the capacitor, and is an effective LC filter parameter design strategy facing the high-power high-speed motor.
Claims (8)
1. A design method of LC filter parameters of a high-power high-speed motor is characterized in that,
establishing an LC filter parameter comprehensive constraint model containing current constraint, voltage constraint, power constraint, loss constraint, stability constraint and volume constraint according to the known parameters of the motor;
calculating an optimal inductance solution based on the relation between the total inductance and the resonant frequency by combining voltage constraint, volume constraint and stability constraint analysis;
optimizing a capacitance parameter according to the current ripple attenuation rate, and analyzing and calculating an optimal solution of the capacitance by combining current constraint, loss constraint, power constraint and stability constraint;
according to a basic transfer function characteristic equation from the voltage of the inverter to the current of the motor, an optimal inductance solution and an optimal capacitance solution, an active damping parameter analytic expression is deduced, and an active damping optimal value is obtained by solving the active damping parameter analytic expression;
and when the optimal inductance solution, the optimal capacitance solution and the optimal active damping value meet the stability constraint, finishing the parameter design of the LC filter, when the optimal inductance solution, the optimal capacitance solution and the optimal active damping value do not meet the stability constraint, increasing the current ripple attenuation rate, recalculating the optimal inductance solution and the optimal capacitance solution, repeating the processes until the stability constraint is met, and finishing the parameter design of the LC filter.
2. The method for designing the LC filter parameters of the high-power high-speed motor according to claim 1, wherein a specific method for analyzing an optimal inductance solution based on the relationship between the total inductance and the resonant frequency in combination with voltage constraint, volume constraint and stability constraint is as follows:
keeping the ratio of the resonant frequency to the sampling frequency to be constant, and obtaining an inductance value meeting the volume constraint as an inverter side inductance value;
introducing an inverter current ripple coefficient to represent the ratio of the maximum current ripple to the rated fundamental current amplitude, and acquiring the minimum inductance value meeting the stability constraint;
introducing a voltage utilization coefficient to represent the maximum safe utilization rate of the DC bus voltage of the inverter under a rated state, and acquiring the maximum value of the inductance meeting the voltage constraint;
and selecting the maximum value of the inductance meeting the voltage constraint and the minimum value of the inductance value meeting the volume constraint, and selecting the maximum value from the minimum value and the minimum value of the inductance meeting the stability constraint as the optimal inductance solution.
3. The method for designing the LC filter parameters of the high-power high-speed motor according to claim 1, wherein the specific method for analyzing the optimal solution of the capacitor by optimizing the capacitor parameters according to the current ripple attenuation rate and combining the current constraint, the loss constraint, the power constraint and the stability constraint comprises the following steps:
introducing a current ripple truncation attenuation rate to obtain a capacitance value meeting the harmonic loss constraint;
acquiring a maximum value of capacitance meeting power constraint;
acquiring a maximum value of the capacitance meeting current constraint;
acquiring the maximum value and the minimum value of the capacitance meeting the stability constraint;
and selecting a maximum value from the capacitance values meeting the harmonic loss constraint and the minimum values of the capacitance meeting the stability constraint, and selecting a minimum value from the maximum values, the maximum values of the capacitance meeting the power constraint, the maximum values of the capacitance meeting the current constraint and the maximum values of the capacitance meeting the stability constraint as an optimal capacitance solution.
4. The method for designing the LC filter parameters of the high-power and high-speed motor according to claim 1, wherein the specific method for deriving the active damping parameter analytical formula according to the fundamental transfer function characteristic equation from the inverter voltage to the motor current and the values of the optimal inductance and the optimal capacitance comprises the following steps: and deriving an active damping parameter analytical formula according to the explicit relation between the optimal active damping and the inductance parameter and the capacitance parameter based on the principle that the amplitude transfer function is monotonically decreased along with the frequency.
5. The method for designing the LC filter parameters of the high-power high-speed motor according to claim 1, wherein a specific method for solving the active damping parameter analytic expression to obtain the active damping optimal value is as follows: when the per unit value of the stator resistance parameter is less than 3%, linearly solving a basic transfer function characteristic equation from the inverter voltage to the motor current to obtain an optimal active damping value; otherwise, iteratively solving the active damping parameter analytic expression to obtain an active damping optimal value.
6. The method for designing the LC filter parameters of the high-power high-speed motor as claimed in claim 2, wherein the inductance expression satisfying the volume constraint is Lopt1＝LsThe expression for the minimum value of inductance that satisfies the stability constraint is:
the expression for the maximum value of inductance that satisfies the voltage constraint is:
Lopt1to satisfy the inductance value of the volume constraint, LsIs the average value of motor inductance, L'minMinimum value of inductance, V, for stability constraintdcFor the dc bus voltage of the inverter, TswIs the switching period, kciIs the current ripple factor of the inverter, ImrIs the fundamental rated current, L'maxTo satisfy the maximum value of the inductance, k, of the voltage constraintuTo the voltage utilization factor, UsmIs the maximum phase voltage of the inverter, RsIs an electronic resistance, omegaeFor rated synchronous speed of the motor, #fFor permanent magnet flux linkage of rotor, LqIs stator quadrature axis inductance.
7. The method for designing the LC filter parameters of the high-power high-speed motor as claimed in claim 3, wherein the capacitance satisfying the harmonic loss constraint is expressed by:
Copt1to satisfy the harmonic loss constraint of capacitance value, (L)sC)opt1＝max{(LsC)min1，(LsC)min2}，
LsIs the average value of the inductance of the motor, C is the capacitance, omegaswIs the switching frequency, krtoThe current ripple cut-off attenuation rate.
8. The method for designing the LC filter parameters of the high-power high-speed motor as claimed in claim 4, wherein the active damping parameter analytical formula derived from the explicit relationship between the optimal active damping and the inductance and capacitance parameters is as follows:
Rc_optfor optimum active damping, LsIs the average value of motor inductance, L'optFor optimum solution of inductance, CoptAnd the optimal solution of the capacitance is obtained.
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| CN111030534A (en) * | 2019-12-20 | 2020-04-17 | 东南大学 | Parameter identification method for permanent magnet synchronous motor in steady-state operation mode |
| CN113452242A (en) * | 2021-08-05 | 2021-09-28 | 湖州学院 | Method for optimizing filter parameters of matrix converter |
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| CN103078321A (en) * | 2013-01-04 | 2013-05-01 | 广西电网公司电力科学研究院 | Method for designing LCL (Logical Connection Layer) filter by uniformly controlling photovoltaic grid connection and active power filtering |
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| CN109039035A (en) * | 2018-08-07 | 2018-12-18 | 上海海事大学 | Adapt to the gird-connected inverter filter parameter design method of power grid reactance change |
| CN111030534A (en) * | 2019-12-20 | 2020-04-17 | 东南大学 | Parameter identification method for permanent magnet synchronous motor in steady-state operation mode |
| CN113452242A (en) * | 2021-08-05 | 2021-09-28 | 湖州学院 | Method for optimizing filter parameters of matrix converter |
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| CN114785210A (en) * | 2022-06-04 | 2022-07-22 | 中国矿业大学 | Permanent magnet synchronous motor current controller parameter setting method, device and system |
| CN114785210B (en) * | 2022-06-04 | 2022-10-11 | 中国矿业大学 | Permanent magnet synchronous motor current controller parameter setting method, device and system |
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