CN108512433B - Method for realizing accurate phase shift based on multi-module cascade matrix converter - Google Patents
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- H—ELECTRICITY
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- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
- H02M5/00—Conversion of ac power input into ac power output, e.g. for change of voltage, for change of frequency, for change of number of phases
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02M—APPARATUS FOR CONVERSION BETWEEN AC AND AC, BETWEEN AC AND DC, OR BETWEEN DC AND DC, AND FOR USE WITH MAINS OR SIMILAR POWER SUPPLY SYSTEMS; CONVERSION OF DC OR AC INPUT POWER INTO SURGE OUTPUT POWER; CONTROL OR REGULATION THEREOF
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Abstract
The invention provides a method for realizing accurate phase shift based on a multi-module cascade matrix converter, which comprises the following steps: s1, calculating a first switch action time t1 and a second switch action time t2 in any switch control period of the ith module according to the switch waveform of the ith module of the converter after phase shifting; i is 1,2, …, N, N is the module number of the converter; s2, if the t1 and the t2 do not accord with the safety commutation rule, adjusting the t1 and the t2 according to the safety commutation rule; the safety commutation rule is used for ensuring that the ith module can realize safety commutation and has the same duty ratio with other modules in any switch control period; s3, repeating S1 and S2, and obtaining t1 and t2 of all switch control periods of the ith module; and S4, repeating S1 to S3, and obtaining t1 and t2 of all switching control periods of all modules to perform phase-shifting control on the converter. The method provided by the invention improves the output quality and enhances the operation safety.
Description
Technical Field
The invention relates to the technical field of power electronics, in particular to a method for realizing accurate phase shifting based on a multi-module cascade matrix converter.
Background
At present, the emphasis on energy conservation and emission reduction and the effective reduction of energy consumption of enterprises become the key points of attention of people. The application of the medium/high voltage high power frequency converter device greatly improves the power saving rate of each motor, and the energy saving effect is obvious. The multi-module matrix converter is currently the only commercially available matrix converter suitable for medium and high voltage applications.
The multi-module matrix converter combines the traditional power converter with a multi-level technology, has the dual advantages of the matrix converter and the H-bridge cascaded high-voltage frequency converter, can realize high-voltage output and output sine by connecting a plurality of independent low-voltage power unit modules in series, can realize energy bidirectional flow and four-quadrant operation, and does not need an intermediate direct-current capacitor and the like.
Fig. 1 is a schematic diagram of a topology of a multi-module cascaded matrix converter A, B, C, where each phase of the multi-module cascaded matrix converter is formed by cascading a plurality of module matrix converters. In order to obtain more output voltage levels, the expected output voltages of the modules are equal, and the switching state adopts a cyclic shift method. Therefore, the phase shift PWM method is a PWM method specially used for the cascade type multi-level converter. The PWM pulses of each module have a certain phase shift, namely, the phase shift is staggered, so that the equivalent switching frequency of the PWM waves finally superposed and output by each module is improved to be several times of the original equivalent switching frequency, and the output harmonic waves can be greatly reduced under the condition of not improving the switching frequency.
Conventional multi-module cascaded matrix converters generally employ a conventional approximate phase shifting method. However, the conventional approximate phase-shifting method only shifts the phase of the PWM waveform of each module in sequence, so that the average value of the output voltage of each module cannot be guaranteed to be equal, and if the average value is applied to a small resistor or a control motor, the current fluctuation is large, and the output quality cannot be guaranteed.
Disclosure of Invention
The invention provides a method for realizing accurate phase shift based on a multi-module cascade matrix converter, which aims to solve the problems in the prior art.
On one hand, the invention provides a phase shifting method based on a multi-module cascade matrix converter, which comprises the following steps: s1, calculating a first switch action time t1 and a second switch action time t2 in any switch control period corresponding to the ith module according to the switch waveform of the ith module of the multi-module cascade matrix converter after phase shifting; i is 1,2, …, and N is the number of modules of the multi-module cascade type matrix converter; s2, judging whether t1 and t2 in any switch control period corresponding to the ith module meet preset safety commutation rules or not, and if not, adjusting t1 and t2 according to the safety commutation rules; the safety commutation rule is used for ensuring that the ith module can realize safety commutation and the duty ratio of the ith module and other modules in any one switch control period is the same; s3, repeating the steps S1 and S2, and obtaining t1 and t2 of all switch control periods of the ith module; and S4, repeating the steps S1 to S3, obtaining t1 and t2 of all switch control periods of all modules in the multi-module cascaded matrix converter, and performing phase-shifting control on the multi-module cascaded matrix converter according to t1 and t2 of all switch control periods of all modules.
Preferably, the safe commutation rule comprises:
where T is the switching control period and T is the on-time of the switching device.
Preferably, the first safe commutation time is 11n, the second safe commutation time is 5n, and the minimum pulse width is 2 n; wherein,tPfor the time of the switching device action, NCThe count value of the controller in one switching control period T is counted.
Preferably, the step S3 further includes: s31, if t1 is not less than 5n and not more than 11n, setting t1 as 11n and extending t2 backwards; if t1 is less than or equal to 5n, setting t1 to 0 and pushing t2 forward; s32, if T-T2<5n, set T2 to T-5n and push T1 forward.
Preferably, the method further comprises the following steps: s0, shifting the phase of the switching waveform corresponding to the ith module of the multi-module cascade type matrix converter by (i-1) T/N; wherein, T is a switch control period.
Preferably, the module is a three-module cascade type matrix converter.
In another aspect, the present invention provides a phase shifting apparatus based on a multi-module cascaded matrix converter, including: at least one processor; and at least one memory communicatively coupled to the processor, wherein: the memory stores program instructions executable by the processor, which when called by the processor are capable of performing the method as previously described.
In yet another aspect, the invention features a non-transitory computer-readable storage medium storing computer instructions that cause the computer to perform the method as previously described.
According to the method for realizing the accurate phase shift based on the multi-module cascade matrix converter, the switch action time is adjusted by applying the safe current conversion rule, the same duty ratio of each module in the same switch control period is ensured, the accurate phase shift is further realized, the output voltages of each module are ensured to be equal, the output quality is improved, the realization of the safe current conversion of the multi-module cascade matrix converter is ensured, and the operation safety of the converter is enhanced.
Drawings
FIG. 1 is a schematic diagram of a multi-module cascaded matrix converter topology;
fig. 2 is a schematic flowchart of a phase shifting method based on a multi-module cascaded matrix converter according to an embodiment of the present invention;
FIG. 3 is a schematic diagram of a phase shifting method according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of the drive voltage waveform with a phase shift of 0 according to an embodiment of the present invention;
FIG. 5 is a schematic diagram of the waveforms of the driving voltage at a phase shift of T/4 according to an embodiment of the present invention;
FIG. 6 is a schematic diagram of a drive voltage waveform with a phase shift of 2T/4 according to an embodiment of the present invention;
FIG. 7 is a schematic diagram of a drive voltage waveform with a phase shift of 3T/4 according to an embodiment of the present invention;
fig. 8 is a schematic structural diagram of a phase shifting apparatus based on a multi-module cascaded matrix converter according to an embodiment of the present invention.
Detailed Description
The following detailed description of embodiments of the present invention is provided in connection with the accompanying drawings and examples. The following examples are intended to illustrate the invention but are not intended to limit the scope of the invention.
The matrix converter is a new type of AC-AC power converter. The transformation of various parameters (phase number, phase, amplitude and frequency) of the alternating current can be realized. Compared with the traditional converter, the converter has the following advantages: an intermediate direct-current energy storage link is not needed; the four-quadrant operation can be realized; the input current waveform and the output voltage waveform are excellent; freely controllable power factor. Matrix converters have become one of the hot spots in power electronic technology research and have a wide application prospect.
In order to realize high-voltage output by using a low-voltage switching device in a matrix converter, two main solutions are currently available: one solution is to adopt a half-bridge type inversion structure with power electronic devices connected in series, namely a clamping type multi-level inverter; the other method is to adopt basic power units to be directly connected in series and superposed to form a cascade circuit structure. The cascaded matrix converter needs to achieve the purpose of greatly reducing output harmonic waves by phase shifting under the condition of not improving the switching frequency. Because the matrix converter has no intermediate direct-current capacitor, the requirement on the precision of the output voltage is high, the requirement that the average value of the output voltage of each module is equal cannot be met by using a conventional approximate phase-shifting method, the current fluctuation is large, and the output quality cannot be ensured.
In view of the above problems, an embodiment of the present invention provides a phase shifting method based on a multi-module cascaded matrix converter:
fig. 2 is a schematic flow chart of a phase shifting method based on a multi-module cascaded matrix converter according to an embodiment of the present invention, and as shown in fig. 2, the phase shifting method based on the multi-module cascaded matrix converter includes: s1, calculating a first switch action time t1 and a second switch action time t2 in any switch control period corresponding to the ith module according to the phase-shifted switch waveform corresponding to the ith module of the multi-module cascade type matrix converter; i is 1,2, …, and N is the number of modules of the multi-module cascade type matrix converter; s2, judging whether t1 and t2 in any switch control period corresponding to the ith module meet preset safety commutation rules or not, and if not, adjusting t1 and t2 according to the safety commutation rules; the safety commutation rule is used for ensuring that the ith module realizes safety commutation and the duty ratio of any one switch control period of each module is the same; s3, repeating the steps S1 and S2, and obtaining t1 and t2 of all switch control periods of the ith module; and S4, repeating the steps S1 to S3, obtaining t1 and t2 of all switch control periods of all modules in the multi-module cascaded matrix converter, and performing phase-shifting control on the multi-module cascaded matrix converter according to t1 and t2 of all switch control periods of all modules.
Specifically, the multi-module cascade type matrix converter is composed of N modules, and a switch in each module acts twice in one switch control period.
Firstly, for a waveform of an ith module of the multi-module cascaded matrix converter after phase shifting, a switch first action time t1 and a switch second action time t2 in any switch control period corresponding to the ith module are calculated, wherein the switch first action time t1 is a time of a first action of a switch of the ith module in any switch control period, and the switch second action time t2 is a time of a second action of the switch of the ith module in any switch control period.
Secondly, according to a preset safe commutation rule, judging t1 and t2 in any switch control period corresponding to the ith module obtained by calculation in the previous step, and if the t1 and the t2 accord with the safe commutation rule, keeping the t1 and the t 2; otherwise, the safety commutation rule is applied to adjust the t1 and the t2, so that the ith module can realize safety commutation, and the duty ratio of the ith module is consistent with that of other modules in the multi-module cascaded matrix converter in any switching control period.
Then, the above steps are repeated to obtain t1 and t2 of the ith module in all switch control periods.
And finally, repeating all the steps, sequentially obtaining t1 and t2 of all the switch control periods of all the modules in the multi-module cascaded matrix converter according to a method of obtaining t1 and t2 of the ith module in all the switch control periods, setting the switch waveforms of all the modules by applying t1 and t2 of all the switch control periods of all the modules, and performing phase shift control on the multi-module cascaded matrix converter through the switch waveforms.
In the embodiment of the invention, the switch action time is adjusted by applying the safety commutation rule, so that the duty ratios of the modules in the same switch control period are ensured to be the same, the accurate phase shifting is further realized, the output voltages of the modules are ensured to be equal, the output quality is improved, meanwhile, the realization of the safety commutation of the multi-module cascade matrix converter is ensured, and the operation safety of the converter is enhanced.
Based on the above specific embodiment, a phase shifting method based on a multi-module cascaded matrix converter, where the safety commutation rule includes:
where T is the switching control period and T is the on-time of the switching device.
Specifically, in the above rule, t1 is greater than or equal to the first safe commutation time, and is used to ensure that the switch can operate safely when it is operated for the first time in the switch control cycle.
T-T2 is more than or equal to the second safe commutation time, is used for ensuring the second action of the switch before the switch control cycle is finished, and can run safely.
t is larger than or equal to the minimum pulse width and is used for ensuring that the conduction time of the switching device is larger than the minimum pulse width which can be output by the controller and ensuring that the pulse precision output by the controller can meet the requirement of the switching device.
t2 is more than or equal to t1 and is used for ensuring that the second action time of the switch is after the first action time of the switch, and avoiding the output distortion of the current module caused by the time sequence disorder.
In the specific embodiment of the invention, a safe commutation rule for ensuring the realization of the safe commutation of the multi-module cascade matrix converter is provided, which is beneficial to improving the reliability of the operation of the converter.
Based on any of the above specific embodiments, a phase shifting method based on a multi-module cascaded matrix converter is provided, where the first safe commutation time is 11n, the second safe commutation time is 5n, and the minimum pulse width is 2 n.
In particular, NCFor the controller in a count of one switching control period T, NCIs determined by the crystal oscillation frequency and the actual control frequency adopted by the controller. t is tPFor the time of switching device action, derived from parameters of switching devices selected for use by the converter, e.g. tPThe maximum value of the turn-on delay time and the turn-off delay time of the switching device, but is not limited thereto. N is calculated by the following formula, and the count value of the controller in the action time of the switching device is represented by n:
applying n to correspondingly represent parameters in the safe commutation rule: the first safe commutation time is 11n, the second safe commutation time is 5n, and the minimum pulse width is 2 n.
In the embodiment of the invention, the safe commutation rule parameter is converted into the count value of the controller, thereby providing convenience for the subsequent adjustment of t1 and t 2.
Based on any one of the above embodiments, a phase shifting method based on a multi-module cascaded matrix converter, where the step S3 further includes:
s31, if t1 is not less than 5n and not more than 11n, setting t1 as 11n and extending t2 backwards; if t1 is less than or equal to 5n, setting t1 to 0 and pushing t2 forward;
s32, if T-T2<5n, set T2 to T-5n and push T1 forward.
Specifically, according to a preset safety commutation rule, t1 and t2 in any switch control cycle corresponding to the ith module calculated in the previous step are judged:
firstly, judging whether t1 meets t 1n which is more than or equal to 11n, if t1 which is more than or equal to 11n, the t1 accords with the safe commutation rule, and the t1 does not need to be adjusted;
if t1<11n, then adjust t 1: further, if 5n ≦ t1 ≦ 11n, t1 is set to 11n and t2 is straightforward backward; otherwise, t1 will be set to 0 and t2 will be pushed forward.
Secondly, judging whether T2 meets T-T2 is more than or equal to 5n, if T-T2 is more than or equal to 5n, the T2 accords with the safe commutation rule, and T2 does not need to be adjusted;
otherwise, T2 is adjusted, T2 is set to T-5n, and T1 is pushed forward.
In the embodiment of the invention, the action time of the switch is adjusted through the safety commutation rule, so that the output voltages of all modules are equal, the output quality is improved, and the operation reliability of the converter is improved.
Based on any of the above embodiments, a phase shifting method based on a multi-module cascaded matrix converter further includes: s0, shifting the phase of the switching waveform corresponding to the ith module of the multi-module cascade type matrix converter by (i-1) T/N; wherein, T is a switch control period.
Specifically, before calculating a first switch action time T1 and a second switch action time T2 in any switch control period corresponding to an ith module for a waveform after phase shifting of the ith module of the multi-module cascaded matrix converter, the ith module needs to be phase-shifted, the phase-shifting size of the ith module is related to the total number of modules of the multi-module cascaded matrix converter and the serial number of the ith module, and the phase-shifting size corresponding to the ith module is equal to (i-1) T/N, where T is a switch control period and N is the total number of modules.
For example, assuming that T is 200 and N is 4, the 1 st block is phase shifted by 0, the second block is phase shifted by 50, the third block is phase shifted by 100, and the fourth block is phase shifted by 150.
In the embodiment of the invention, the conventional approximate phase shifting method is used, so that a foundation is laid for the subsequent accurate phase shifting.
Based on any of the above embodiments, a phase shifting method based on a multi-module cascaded matrix converter, wherein the module is a three-module cascaded matrix converter.
Specifically, the multi-module cascaded matrix converter is formed by cascading a plurality of three-module cascaded matrix converters, but in the specific embodiment of the present invention, the modules forming the multi-module cascaded matrix converter are not limited thereto.
For better understanding and application of the phase shifting method based on a multi-module cascaded matrix converter proposed by the present invention, the present invention is exemplified below, and the present invention is not limited to the following examples.
Example one:
fig. 3 is a schematic diagram showing a phase shift method according to an embodiment of the present invention, as shown in fig. 3, fig. 3(a) is a basic waveform before phase shift, fig. 3(b) is a conventional approximate phase shift method, fig. 3(c) is a phase shift method according to the present invention, and fig. 3(b) and fig. 3(c) both shift the phase of the basic waveform in fig. 3(a) by T/4.
The duty cycle (i.e., the on-time of the switch) of the controller may be varied during operation of the system to meet the output voltage requirement. But in the same period, the duty ratio of each module is the same, so that each module outputs the same expected voltage value. Assuming that the time T of one cycle is 200, n is calculated to be about 1.2053. The switch on time 2t of the first switch control period is 80, the switch on time 2t of the second switch control period is 100, and the switch on time 2t of the third switch control period is 120.
As can be seen from fig. 3(b), when the conventional approximate phase shift method is applied to perform the phase shift, the switch on time in the second switch control period is only 90, and does not reach 100 that is expected in the second switch control period. It follows that it is difficult to ensure that the output voltages of the various modules are equal and all equal to the desired output voltage using conventional approximate phase shifting methods.
Correspondingly, as can be seen from fig. 3(c), the phase shifting method provided by the present invention solves the above problems, ensures that the voltage output by each module can be the same as the expected voltage value, and meets the power supply requirement.
Example two:
the switching device applied in this example is an IGBT, and the switching action time t of the IGBTp1.5us, 250us, and counting value N of one switch control periodc18750, calculated from above, n is 113(5n is 565, 11n is 1243).
Fig. 4 is a schematic diagram of the driving voltage waveform when the phase shift is 0 according to an embodiment of the present invention, and it can be seen that,
t1=t,565≤t1≤8923
t2=18750-t,9827≤t2≤18185
in addition, in FIG. 4(a), 0< T < T/4; in FIG. 4(b), T/4< T < T/2.
FIG. 5 is a schematic diagram of a driving voltage waveform with a phase shift of T/4 according to an embodiment of the present invention, and referring to FIG. 5, the phase shift method is applied, and FIG. 5(a) can be discussed in two cases:
t1=11n,t1=1243
t2=2t+11n,8133≤t2≤9489
Similarly, the discussion is divided into two cases with respect to fig. 5 (b):
t1=2t,8246≤t1≤10506
t 2-0 (t2 is shifted to the end of the cycle), t 2-0
FIG. 6 is a schematic diagram of a waveform of a driving voltage when the phase shift is 2T/4 according to an embodiment of the present invention, and referring to FIG. 6, the phase shift method is applied, and FIG. 6(a) can be discussed in two cases:
t1=11n,t1=1243
t2=2t+11n,17507≤t2≤18185
Similarly, the discussion is for the case of FIG. 6 (b):
FIG. 7 is a schematic diagram of a waveform of a driving voltage when the phase shift is 3T/4 according to an embodiment of the present invention, and referring to FIG. 7, the phase shift method is applied, and FIG. 7(a) can be discussed in two cases:
t1=t2=T-2t,8244≤t1=t2≤10504
t1 ═ 0(t1 at the beginning of the cycle)
Similarly, the discussion is for the case of FIG. 7 (b):
t1=11n,t1=1243
t2=T-2t+11n,8131≤t2≤9487
Fig. 8 is a schematic structural diagram of a phase shifting apparatus based on a multi-module cascaded matrix converter according to an embodiment of the present invention, as shown in fig. 8, the apparatus includes: at least one processor 801; and at least one memory 802 communicatively coupled to the processor 801, wherein: the memory 802 stores program instructions executable by the processor 801, and the processor 801 invokes the program instructions to perform the method for phase shifting based on a multi-module cascaded matrix converter according to the embodiments, for example, the method includes: s1, calculating a first switch action time t1 and a second switch action time t2 in any switch control period corresponding to the ith module according to the switch waveform of the ith module of the multi-module cascade matrix converter after phase shifting; i is 1,2, …, and N is the number of modules of the multi-module cascade type matrix converter; s2, judging whether t1 and t2 in any switch control period corresponding to the ith module meet preset safety commutation rules or not, and if not, adjusting t1 and t2 according to the safety commutation rules; the safety commutation rule is used for ensuring that the ith module can realize safety commutation and the duty ratio of the ith module and other modules in any one switch control period is the same; s3, repeating the steps S1 and S2, and obtaining t1 and t2 of all switch control periods of the ith module; and S4, repeating the steps S1 to S3, obtaining t1 and t2 of all switch control periods of all modules in the multi-module cascaded matrix converter, and performing phase-shifting control on the multi-module cascaded matrix converter according to t1 and t2 of all switch control periods of all modules.
Embodiments of the present invention further provide a non-transitory computer-readable storage medium storing computer instructions, where the computer instructions cause a computer to execute a phase shifting method based on a multi-module cascaded matrix converter provided in a corresponding embodiment, for example, the method includes: s1, calculating a first switch action time t1 and a second switch action time t2 in any switch control period corresponding to the ith module according to the switch waveform of the ith module of the multi-module cascade matrix converter after phase shifting; i is 1,2, …, and N is the number of modules of the multi-module cascade type matrix converter; s2, judging whether t1 and t2 in any switch control period corresponding to the ith module meet preset safety commutation rules or not, and if not, adjusting t1 and t2 according to the safety commutation rules; the safety commutation rule is used for ensuring that the ith module can realize safety commutation and the duty ratio of the ith module and other modules in any one switch control period is the same; s3, repeating the steps S1 and S2, and obtaining t1 and t2 of all switch control periods of the ith module; and S4, repeating the steps S1 to S3, obtaining t1 and t2 of all switch control periods of all modules in the multi-module cascaded matrix converter, and performing phase-shifting control on the multi-module cascaded matrix converter according to t1 and t2 of all switch control periods of all modules.
Those of ordinary skill in the art will understand that: all or part of the steps for implementing the method embodiments may be implemented by hardware related to program instructions, and the program may be stored in a computer readable storage medium, and when executed, the program performs the steps including the method embodiments; and the aforementioned storage medium includes: various media that can store program codes, such as ROM, RAM, magnetic or optical disks.
Finally, the method of the present application is only a preferred embodiment and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, improvement and the like made within the spirit and regulation of the present invention shall be included in the protection scope of the present invention.
Claims (6)
1. A phase shifting method based on a multi-module cascade type matrix converter is characterized by comprising the following steps:
s1, calculating a first switch action time t1 and a second switch action time t2 in any switch control period corresponding to the ith module according to the switch waveform of the ith module of the multi-module cascade matrix converter after phase shifting; i is 1,2, …, and N is the number of modules of the multi-module cascade type matrix converter;
s2, if t1 and t2 in any switch control period corresponding to the ith module do not accord with a preset safe commutation rule, adjusting t1 and t2 according to the safe commutation rule; the safety commutation rule is used for ensuring that the ith module can realize safety commutation and the duty ratio of the ith module and other modules in any one switch control period is the same;
s3, repeating the steps S1 and S2, and obtaining t1 and t2 of all switch control periods of the ith module;
s4, repeating the steps S1 to S3, obtaining t1 and t2 of all switch control periods of all modules in the multi-module cascaded matrix converter, and performing phase-shifting control on the multi-module cascaded matrix converter according to t1 and t2 of all switch control periods of all modules;
wherein the safe commutation rule comprises:
wherein T is a switch control period, and T is the conduction time of the switch device;
the first safe commutation time is 11n, the second safe commutation time is 5n, and the minimum pulse width is 2 n;
2. The method according to claim 1, wherein the step S3 further comprises:
s31, if t1 is not less than 5n and not more than 11n, setting t1 as 11n and extending t2 backwards; if t1 is less than or equal to 5n, setting t1 to 0 and pushing t2 forward;
s32, if T-T2<5n, set T2 to T-5n and push T1 forward.
3. The method of claim 1, further comprising:
s0, shifting the phase of the switching waveform corresponding to the ith module of the multi-module cascade type matrix converter by (i-1) T/N; wherein, T is a switch control period.
4. The method of claim 1, wherein the module is a three-module cascaded matrix converter.
5. A phase shift apparatus based on a multi-module cascade type matrix converter, comprising:
at least one processor; and at least one memory communicatively coupled to the processor, wherein: the memory stores program instructions executable by the processor, the processor invoking the program instructions to perform the method of any of claims 1 to 4.
6. A non-transitory computer-readable storage medium storing computer instructions that cause a computer to perform the method of any one of claims 1 to 4.
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基于多模块级联型矩阵变换器的高压变频技术研究;桂婷婷;《中国优秀博硕士学位论文全文数据库(硕士) 工程科技Ⅱ辑》;20130401;第23-33页 * |
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