CN111756287B - Dead zone compensation method suitable for permanent magnet motor control based on current prediction - Google Patents
Dead zone compensation method suitable for permanent magnet motor control based on current prediction Download PDFInfo
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- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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- 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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Abstract
The invention relates to a dead zone compensation method for motor control, in particular to a dead zone compensation method suitable for permanent magnet motor control based on current prediction. The problem of prior art blind spot compensation effect relatively poor is solved. The dead zone compensation method based on current prediction and suitable for permanent magnet motor control is divided into a low-speed zone dead zone compensation strategy and a high-speed zone dead zone compensation strategy according to the running frequency of a motor; the dead zone compensation is carried out through the prediction current, and the problem that due to the fact that a digital controller has certain delay, the calculated result of the beat is updated until the next beat, and the dead zone compensation effect of the zero-crossing point accessory is poor is solved.
Description
Technical Field
The invention relates to a dead zone compensation method for motor control, in particular to a dead zone compensation method suitable for permanent magnet motor control based on current prediction.
Background
The inverter main circuit topology of the electric locomotive generally adopts a bridge circuit structure, the switching devices of bridge arms adopt high-voltage-grade IGBTs, and because the IGBTs are not ideal devices and have turn-on and turn-off delay, certain dead time needs to be added into upper and lower IGBT driving pulses of the same bridge arm to ensure the reliable work of the switching devices; the turn-on and turn-off delay of the high-voltage level IGBT is more serious, so in order to ensure the reliable work of devices, longer dead time needs to be added to the driving pulse of the upper and lower tubes, the added dead time can cause the problem that the actual output voltage waveform is inconsistent with the theoretical voltage waveform, so that a dead time effect is caused, the dead time effect can generate harmonic voltage and current with different frequencies, the operation of a motor is influenced, particularly, the dead time effect is worse under the working condition of low-speed light load of a variable-frequency speed control system, and therefore the dead time needs to be compensated.
In the prior art, dead-time compensation is performed on a driving pulse of a switching device in a digital control mode by judging the polarity of a load current. The method mainly has the following problems:
1) because the inverter adopts a digital control mode, digital control can generate delay, and the next beat of the calculation result of the beat can take effect, so that dead zone compensation according to the sampling current of the beat has delay, and the dead zone compensation can not be accurately performed on the zero crossing point of the current.
2) The dead zone compensation of the method is inaccurate due to the fact that the conducting voltage drop of the IGBT of the switching device and the on-off delay of the switching tube are not considered.
Disclosure of Invention
The invention solves the problem of poor dead zone compensation effect in the prior art, and provides a dead zone compensation method suitable for permanent magnet motor control based on current prediction for the dead zone compensation control of a permanent magnet motor. The method predicts the motor current by combining coordinate transformation and a permanent magnet motor equivalent model, and performs dead zone compensation by predicting the motor current.
The invention is realized by adopting the following technical scheme: the dead zone compensation method based on current prediction and suitable for permanent magnet motor control is divided into a low-speed zone dead zone compensation strategy (below rated frequency) and a high-speed zone dead zone compensation strategy (above rated frequency) according to the running frequency of a motor;
when the motor runs at a low speed stage (below a rated frequency), firstly, three-phase currents i of the motor are supplied A 、i B And i C I is obtained by a change formula of converting a three-phase static coordinate system into a two-phase static coordinate system α And i β Then i is α And i β The dq axis current i is obtained through a change formula of converting a two-phase static coordinate system into a two-phase rotating coordinate system d And i q (ii) a Then calculating the obtained i d And i q Obtaining predicted alpha beta axis current i through a change formula of converting a two-phase rotating coordinate system into a two-phase stationary coordinate system α_pre And i β_pre Where phi used for coordinate transformation passes phi + w s T s Calculated, wherein phi is the synchronous rotation angle of the next beat, theta is the synchronous rotation angle of the motor of the current beat, and w s Is the synchronous angular frequency, T s Is the sampling interval time; and obtaining the predicted three-phase current i of the motor by a change formula of converting the two-phase static coordinate system into the three-phase static coordinate system A_pre 、i B_pre And i C_pre (ii) a I obtained by calculation A_pre 、i B_pre And i C_pre Performing dead zone compensation;
when the motor runs at a high speed stage (above rated frequency), firstly, the three-phase current i of the motor is converted into the three-phase current A 、i B And i C I is obtained through a change formula of converting a three-phase static coordinate system into a two-phase static coordinate system α And i β Then i is α And i β I is obtained through a change formula of converting a two-phase static coordinate system into a two-phase rotating coordinate d And i q (ii) a Then calculating the obtained i d And i q Obtaining predicted dq axis current i through stator voltage equation calculation d_pre And i q_pre ,i d_pre And i q_pre Obtaining predicted alpha beta axis current i through a change formula of converting a two-phase rotating coordinate system into a two-phase stationary coordinate system α_pre And i β_pre Where phi used for coordinate transformation passes phi + w s T s Calculated, wherein phi is the synchronous rotation angle of the next beat, theta is the synchronous rotation angle of the motor of the current beat, and w s Is the synchronous angular frequency, T s Is the sampling interval time; and obtaining the predicted three-phase current i of the motor by a change formula of converting the two-phase static coordinate system into the three-phase static coordinate system A_pre 、i B_pre And i C_pre (ii) a I obtained by calculation A_pre 、i B_pre And i C_pre Dead zone compensation is performed.
The dead zone compensation is carried out through the prediction current, and the problem that due to the fact that a digital controller has certain delay, the calculated result of the beat is updated until the next beat, and the dead zone compensation effect of the zero-crossing point accessory is poor is solved.
Drawings
FIG. 1 is a schematic diagram of current closed loop control during a low speed phase;
FIG. 2 is a diagram of a main circuit topology used in the present invention;
FIG. 3 is i A_pre 0 dead zone compensation schematic diagram;
FIG. 4 shows i A_pre < 0 dead zone compensation schematic diagram;
fig. 5 is a schematic diagram of the current open loop control during the high speed phase.
Detailed Description
The dead zone compensation method based on current prediction and suitable for permanent magnet motor control is divided into a low-speed zone dead zone compensation strategy (below rated frequency) and a high-speed zone dead zone compensation strategy (above rated frequency) according to the running frequency of a motor;
1) low speed zone dead zone compensation strategy (below rated frequency)
In the low-speed stage, the control strategy adopts current closed-loop control, and the control strategy is shown in figure 1. The motor current value is predicted by coordinate transformation.
Obtaining a current predicted value through coordinate transformation at a low-speed stage to perform dead zone compensation control, and specifically comprising the following steps:
3/2 transformation formula for transforming motor current from three-phase stationary coordinate system to two-phase stationary coordinate system:
in the formula i A 、i B And i C Respectively representing three-phase currents of the motor; i.e. i α 、i β Respectively representing two-phase stationary α β coordinate axis currents.
2/2 transformation formula for transformation of motor current from two-phase stationary coordinate system to two-phase rotating coordinate:
in the formula i α 、i β Respectively represent alpha beta coordinate axis current; i.e. i d 、i q Respectively representing currents of two-phase rotating dq coordinate axes; theta is the synchronous rotation angle of the motor of the beat.
The synchronous rotation angle of the next beat is changed into phi, phi is obtained through calculation of the synchronous rotation angle theta of the motor of the next beat, and a calculation formula is as follows:
φ=θ+w s T s (3)
in the formula, w s Is the synchronous angular frequency; t is s Is the sampling interval time; phi is the next beat synchronous rotation angle.
Then the alpha beta coordinate axis prediction current i is obtained through a change formula of converting the two-phase rotating coordinate system to the two-phase static coordinate system α_pre And i β_pre The 2/2 transformation formula for transforming the two-phase rotating coordinate system to the two-phase stationary coordinate system is:
in the formula i α_pre 、i β_pre Respectively, represent the predicted current of the α β coordinate axis.
Finally, obtaining three-phase static coordinate axis prediction motor three-phase current i through a change formula of converting a two-phase static coordinate system into a three-phase static coordinate system A_pre 、i B_pre And i C_pre 2/3 transformation formula for transformation of motor current from two-phase stationary frame to three-phase stationary frame:
in the formula i A_pre 、i B_pre And i C_pre Respectively representing the three-phase predicted current of the motor.
I obtained by calculation of dead zone compensation module A_pre 、i B_pre And i C_pre Dead zone compensation is performed. The specific compensation process is as follows:
the main circuit topology adopted by the invention is a three-phase voltage type inverter as shown in fig. 2, wherein A, B and C respectively represent three bridge arms of the inverter. The dead zone effect is analyzed by taking the arm A as an example, and V1 and V2 correspond to the upper and lower tubes of the arm A.
Phase A is passed through judgment i A_pre The polarity of the voltage is used for dead zone compensation, the voltage V1 and the voltage V2 correspond to two IGBT devices of an A-phase bridge arm, and when i is equal to the voltage I, the voltage I is analyzed by the driving pulse and the output voltage waveform of the voltage V1 and the voltage V2 A_pre The dead zone compensation principle is shown in FIG. 3, where V is greater than 0 AO Representing the voltage at point a for O,is a theoretical voltage waveform without added dead zone; v1_ pulse and V2_ pulse are driving pulses of V1 and V2, respectively.
When i is A_pre When the voltage is higher than 0, the V2 turn-off process is performed by adding V1 after dead zone compensation, as shown in b) in FIG. 3, and the pulse of V1 and V AO Keeping consistent, the pulse of V2 advances the dead time T _ dead to turn off; the process of turning off V2 from V1 is shown as c) in FIG. 3, and the added dead zone compensation pulse is the pulse of V1 and the pulse of V2 AO In agreement, the pulse of V2 is delayed by the dead time T dead on.
When i is A_pre If < 0, the compensation principle is as shown in FIG. 4.
When i is A_pre When the voltage is less than 0, the V2 turn-off process of V1 after adding dead zone compensation is shown as b) in FIG. 4, and the pulse of V2 and V AO Keeping the complementation, and turning on the pulse delay dead time T _ dead of V1; the process of turning off V2 from V1 is shown as c) in FIG. 4, and the added dead zone compensation pulse is the pulse of V2 and the pulse of V2 AO Remaining complementary, the pulse of V1 is turned off early by the dead time T _ dead.
Phase B passing judgment i B_pre Is dead zone compensated when i B_pre When the value is more than 0, the compensation principle is shown in FIG. 3; when i is B_pre If < 0, the compensation principle is as shown in FIG. 4. C phase passing judgment i C_pre Is dead zone compensated when i C_pre When the value is more than 0, the compensation principle is shown in FIG. 3; when i is C_pre If < 0, the compensation principle is as shown in FIG. 4.
2) Dead zone compensation strategy of high speed zone (above rated frequency)
In the high-speed stage, the control strategy adopts current open-loop control, the motor current value is predicted through a permanent magnet motor equivalent model, and a schematic diagram is shown in fig. 5.
According to the equivalent circuit of the permanent magnet motor, the flux linkage equation of the motor is as follows:
in the formula (I), the compound is shown in the specification,respectively represent dq magnetic chains; l is d 、L q Are dq-axis inductances, respectively; i.e. i d 、i q Are dq-axis currents, respectively;representing a permanent magnet flux linkage.
The voltage equation for the motor is as follows:
in the formula of U d 、U q Respectively representing dq coordinate axis voltages; r s Representing the motor stator resistance; p represents the differential; w represents the stator angular frequency.
Three-phase current i of motor A 、i B And i C I is obtained through a change formula of converting a three-phase static coordinate system into a two-phase static coordinate system α And i β Then i is α And i β I is obtained through a change formula of converting a two-phase static coordinate system into a two-phase rotating coordinate d And i q 。
Exciting current change rate is measured by the exciting current i of this beat d And a predicted value i d_pre Obtaining as shown in formula (10); similarly, the torque current change rate calculation formula is shown in (11).
In the formula i d_pre 、i q_pre Respectively representing dq coordinate axis prediction currents; t is s Is the sampling interval time.
Bringing formulae (10) and (11) into formulae (8) and (9) gives:
obtaining an excitation current predicted value i through the formula d_pre And torque current predicted value i q_pre And obtaining the current value of the motor after coordinate transformation.
The synchronous rotation angle of the next beat is changed into phi, phi is obtained through calculation of the synchronous rotation angle theta of the motor of the next beat, and a calculation formula is as follows:
φ=θ+w s T s (14)
in the formula, w s Is the synchronous angular frequency; theta is the synchronous rotation angle of the motor; phi is the next beat synchronous rotation angle.
Then the alpha beta coordinate axis prediction current i is obtained through a change formula of converting the two-phase rotating coordinate system to the two-phase static coordinate system α_pre And i β_pre The transformation formula for transforming the two-phase rotating coordinate system to the two-phase stationary coordinate is as follows:
in the formula i d_pre 、i q_pre Respectively representing dq coordinate axis prediction currents; i.e. i α_pre 、i β_pre Respectively, represent the predicted current of the α β coordinate axis.
Finally, the three-phase stationary coordinate axis prediction current i is obtained through a change formula of converting the two-phase stationary coordinate system into the three-phase stationary coordinate system A_pre 、i B_pre And i C_pre The change formula of the motor current transformed from the two-phase static coordinate system to the three-phase static coordinate system is as follows:
in the formula i A_pre 、i B_pre And i C_pre Respectively representing the predicted current of the three phases of the motor.
I obtained by calculation of dead zone compensation module A_pre 、i B_pre And i C_pre Dead zone compensation is performed. Phase A is passed through judgment i A_pre Is dead zone compensated when i A_pre When the value is more than 0, the compensation principle is shown in FIG. 3; when i is A_pre If < 0, the compensation principle is as shown in FIG. 4. Phase B passing judgment i B_pre Is dead zone compensated when i B_pre When the value is more than 0, the compensation principle is shown in FIG. 3; when i is B_pre If < 0, the compensation principle is as shown in FIG. 4. C phase passing judgment i C_pre Is dead zone compensated when i C_pre When the value is more than 0, the compensation principle is shown in FIG. 3; when i is C_pre If < 0, the compensation principle is as shown in FIG. 4.
Claims (2)
1. A dead zone compensation method suitable for permanent magnet motor control based on current prediction is characterized in that a low-speed zone dead zone compensation strategy and a high-speed zone dead zone compensation strategy are divided according to the running frequency of a motor;
when the motor runs at a low speed stage, firstly, the three-phase current i of the motor is converted into the three-phase current A 、i B And i C I is obtained through a change formula of converting a three-phase static coordinate system into a two-phase static coordinate system α And i β Then i is α And i β The dq axis current i is obtained through a change formula of converting a two-phase static coordinate system into a two-phase rotating coordinate system d And i q (ii) a Then calculating the obtained i d And i q Obtaining predicted alpha beta axis current i through a change formula of converting a two-phase rotating coordinate system into a two-phase stationary coordinate system α_pre And i β_pre In which the coordinates are transformedPhi passing phi ═ theta + w s T s Calculated, wherein phi is the synchronous rotation angle of the next beat, theta is the synchronous rotation angle of the motor of the current beat, and w s Is the synchronous angular frequency, T s Is the sampling interval time; and obtaining the predicted three-phase current i of the motor by a change formula of converting the two-phase static coordinate system into the three-phase static coordinate system A_pre 、i B_pre And i C_pre (ii) a I obtained by calculation A_pre 、i B_pre And i C_pre Performing dead zone compensation; the specific compensation process is as follows: the main circuit topological structure is a three-phase voltage type inverter, A, B and C respectively represent three bridge arms of the inverter, and V1 and V2 correspond to two IGBT devices of the A bridge arm; v3 and V4 correspond to two IGBT devices of the B bridge arm; v5 and V6 correspond to two IGBT devices of the C bridge arm;
phase A is passed through judgment i A_pre Is dead zone compensated for by polarity V AO The voltage of the intermediate node representing V1 and V2, i.e., the point a, to ground O, is a theoretical voltage waveform without adding a dead zone; when i is A_pre When the voltage is more than 0, increasing the pulse V1 conducted after dead zone compensation and V AO Keeping consistent, the pulse of V2 is turned off, and the dead time T _ dead is advanced; increasing the pulse sum V of V1 turn-off after dead zone compensation AO Keeping consistent, and turning on the pulse delay dead time T _ dead of V2 conduction; when i is A_pre If < 0, increasing the dead zone compensated pulse delay dead zone time T _ dead on for V1 conduction and V2 off AO Keeping complementary; the pulse of V1 turning off advances the dead time T _ dead to turn off, the pulse of V2 turning on and V AO Keeping complementary;
phase B passing judgment i B_pre The polarity of the voltage is subjected to dead zone compensation, and the specific compensation process is the same as that of the phase A; c phase passing judgment i C_pre Dead zone compensation is performed for the polarity of (1);
when the motor runs at a high speed stage, firstly, the three-phase current i of the motor is converted into the three-phase current A 、i B And i C I is obtained through a change formula of converting a three-phase static coordinate system into a two-phase static coordinate system α And i β Then i is α And i β I is obtained through a change formula of converting a two-phase static coordinate system into a two-phase rotating coordinate d And i q (ii) a Then calculating the obtained i d And i q Obtaining predicted dq axis current i through stator voltage equation calculation d_pre And i q_pre ,i d_pre And i q_pre Obtaining predicted alpha beta axis current i through a change formula of converting a two-phase rotating coordinate system into a two-phase stationary coordinate system α_pre And i β_pre Where phi used for coordinate transformation passes phi + w s T s Calculated, wherein phi is the synchronous rotation angle of the next beat, theta is the synchronous rotation angle of the motor of the current beat, and w s Is the synchronous angular frequency, T s Is the sample interval time; and obtaining the predicted three-phase current i of the motor by a change formula of converting the two-phase static coordinate system into the three-phase static coordinate system A_pre 、i B_pre And i C_pre (ii) a I obtained by calculation A_pre 、i B_pre And i C_pre Performing dead zone compensation; the specific compensation process is as follows: the main circuit topological structure is a three-phase voltage type inverter, A, B and C respectively represent three bridge arms of the inverter, and V1 and V2 correspond to two IGBT devices of the A bridge arm; v3 and V4 correspond to two IGBT devices of the B bridge arm; v5 and V6 correspond to two IGBT devices of the C bridge arm;
phase A is passed through judgment i A_pre Is dead zone compensated for by polarity V AO The voltage of the intermediate node representing V1 and V2, namely the point A, relative to the grounding point O is a theoretical voltage waveform without adding a dead zone; when i is A_pre When the voltage is more than 0, increasing the pulse and V of V1 conduction after dead zone compensation AO Keeping consistent, the pulse of V2 is turned off, and the dead time T _ dead is advanced; increasing the pulse sum V of V1 turn-off after dead zone compensation AO Keeping consistent, and turning on the pulse delay dead time T _ dead of V2 conduction; when i is A_pre If < 0, increasing the dead zone compensated pulse delay dead zone time T _ dead on for V1 conduction, V2 off pulse and V AO Keeping complementary; the pulse of V1 turning off advances the dead time T _ dead to turn off, the pulse of V2 turning on and V AO Keeping complementary;
phase B passing judgment i B_pre The polarity of the voltage is subjected to dead zone compensation, and the specific compensation process is the same as that of the phase A; c phase passing judgment i C_pre Dead zone compensation is performed.
2. The current prediction based dead-zone compensation method for permanent magnet motor control according to claim 1,
1) low speed zone dead zone compensation strategy
Obtaining a current predicted value through coordinate transformation at a low-speed stage to perform dead-zone compensation control, and specifically comprising the following steps:
3/2 transformation formula for transforming motor current from three-phase stationary coordinate system to two-phase stationary coordinate system:
in the formula i A 、i B And i C Respectively representing three-phase currents of the motor; i.e. i α 、i β Respectively representing two-phase static alpha beta coordinate axis currents;
2/2 transformation formula for transformation of motor current from two-phase stationary coordinate system to two-phase rotating coordinate:
in the formula i α 、i β Respectively represent alpha beta coordinate axis current; i.e. i d 、i q Respectively representing two-phase rotating dq coordinate axis currents; theta is the synchronous rotation angle of the motor;
the synchronous rotation angle of the next beat is changed into phi, phi is obtained through calculation of the synchronous rotation angle theta of the motor of the next beat, and a calculation formula is as follows:
φ=θ+w s T s (3)
in the formula, w s Is the synchronous angular frequency; t is s Is the sampling interval time; phi is the next beat synchronous rotation angle;
then the alpha beta coordinate axis prediction current i is obtained through a change formula of converting the two-phase rotating coordinate system to the two-phase static coordinate system α_pre And i β_pre 2/2 transformation of two-phase rotating coordinate system to two-phase stationary coordinate systemThe formula is as follows:
in the formula i α_pre 、i β_pre Respectively representing alpha beta coordinate axis prediction current;
finally, obtaining three-phase static coordinate axis prediction motor three-phase current i through a change formula of converting a two-phase static coordinate system into a three-phase static coordinate system A_pre 、i B_pre And i C_pre 2/3 transformation formula for transformation of motor current from two-phase stationary frame to three-phase stationary frame:
in the formula i A_pre 、i B_pre And i C_pre Respectively representing three-phase predicted currents of the motor;
2) high-speed zone dead zone compensation strategy
According to the equivalent circuit of the permanent magnet motor, the flux linkage equation of the motor is as follows:
in the formula (I), the compound is shown in the specification,respectively represent dq magnetic chains; l is d 、L q Are dq-axis inductances, respectively; i.e. i d 、i q Are dq-axis currents, respectively;representing a permanent magnetA chain;
the voltage equation for the motor is as follows:
in the formula of U d 、U q Respectively representing dq coordinate axis voltages; r s Representing the motor stator resistance; p represents the differential; w represents the stator angular frequency;
three-phase current i of the motor A 、i B And i C I is obtained by a change formula of converting a three-phase static coordinate system into a two-phase static coordinate system α And i β Then i is α And i β I is obtained through a change formula of converting a two-phase static coordinate system into a two-phase rotating coordinate d And i q ;
Exciting current change rate is measured by the exciting current i of this beat d And a predicted value i d_pre Obtaining as shown in formula (10); similarly, the torque current change rate calculation formula is shown in (11);
in the formula i d_pre 、i q_pre Respectively representing dq coordinate axis prediction currents; t is a unit of s Is the sampling interval time;
bringing formulae (10) and (11) into formulae (8) and (9) gives:
obtaining an excitation current predicted value i through the formula d_pre And torque current predicted value i q_pre ;
The synchronous rotation angle of the next beat is changed into phi, phi is obtained through calculation of the synchronous rotation angle theta of the motor of the next beat, and a calculation formula is as follows:
φ=θ+w s T s (14)
in the formula, w s Is the synchronous angular frequency; theta is the synchronous rotation angle of the motor; phi is the next beat synchronous rotation angle;
then the alpha beta coordinate axis prediction current i is obtained through a change formula of converting the two-phase rotating coordinate system to the two-phase static coordinate system α_pre And i β_pre The transformation formula for transforming the two-phase rotating coordinate system to the two-phase stationary coordinate is as follows:
in the formula i d_pre 、i q_pre Respectively representing dq coordinate axis prediction currents; i.e. i α_pre 、 iβ_pre Respectively representing alpha beta coordinate axis prediction current;
finally, obtaining the three-phase stationary coordinate axis prediction current i through a change formula of converting the two-phase stationary coordinate system to the three-phase stationary coordinate system A_pre 、i B_pre And i C_pre The change formula of the motor current transformed from the two-phase static coordinate system to the three-phase static coordinate system is as follows:
in the formula i A_pre 、i B_pre And i C_pre Respectively representing the predicted current of the three phases of the motor.
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CN108964440B (en) * | 2018-02-27 | 2020-09-08 | 宁波央腾汽车电子有限公司 | System and method for dead-zone current compensation of three-phase inverter |
CN108631678B (en) * | 2018-05-22 | 2020-05-19 | 江西理工大学 | Vector control dead zone compensation method and system for permanent magnet synchronous motor |
CN110098774A (en) * | 2019-05-21 | 2019-08-06 | 上海大郡动力控制技术有限公司 | Electric machine controller dead-time compensation method based on current forecasting |
CN111224537B (en) * | 2020-02-25 | 2022-12-30 | 苏州灵猴机器人有限公司 | Inverter dead zone compensation method based on phase current |
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