CN114710047B - Loss balance control method for full-bridge modular multilevel converter - Google Patents
Loss balance control method for full-bridge modular multilevel converter Download PDFInfo
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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
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
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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
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
- H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
- H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
- H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/483—Converters with outputs that each can have more than two voltages levels
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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
- H02M7/00—Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
- H02M7/42—Conversion of dc power input into ac power output without possibility of reversal
- H02M7/44—Conversion of dc power input into ac power output without possibility of reversal by static converters
- H02M7/48—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode
- H02M7/53—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal
- H02M7/537—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters
- H02M7/5387—Conversion of dc power input into ac power output without possibility of reversal by static converters using discharge tubes with control electrode or semiconductor devices with control electrode using devices of a triode or transistor type requiring continuous application of a control signal using semiconductor devices only, e.g. single switched pulse inverters in a bridge configuration
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Abstract
The invention discloses a loss balance control method of a full-bridge modular multilevel converter, which comprises the following steps: the bridge arm current, the sub-module capacitor voltage and the switching state of each power device in the sub-module are collected, the average loss of each power device is calculated, the switching state of the sub-module is judged, and the working time of the sub-module in two operation modes is adjusted by comparing the average loss of the left bridge arm and the right bridge arm of the full-bridge sub-module, so that loss balance is finally realized. Compared with the conventional method, the loss balance method has the advantages of good loss balance effect, simple control, no need of increasing the construction cost of the modularized multi-level converter and high economy.
Description
Technical Field
The invention belongs to the field of multi-level power electronic converters, and particularly relates to a loss balance control method of a full-bridge modular multi-level converter.
Background
The modularized multi-level converter (Modular Multilevel Converter, MMC) has the advantages of high modularization, strong expandability, high output electric energy quality, high-voltage direct current bus, redundancy control realization and the like by virtue of the structure, and is widely paid attention to the fields of flexible direct current transmission, medium-voltage motor driving, renewable energy grid connection and the like. The full-bridge modular multilevel converter has the capability of blocking direct current fault current, and is currently being gradually popularized and applied to the fields of high-voltage direct current transmission and the like.
The uneven distribution of the internal loss of the full-bridge submodule not only can influence the service life of a power device and threaten the running reliability of a system, but also can increase the design difficulty of a heat radiating device, so that how to balance the internal loss of the full-bridge submodule is one of key technologies for ensuring the safe and stable running of a modularized multi-level converter system. Considering the redundant switching states of the full-bridge sub-modules, the full-bridge modular multilevel converter has two modes of operation. The traditional full-bridge modular multilevel converter always works in one operation mode, so that the loss and the thermal stress unbalance of power devices in each submodule are caused.
Aiming at the problem of unbalanced loss distribution in the full-bridge modular multilevel converter submodule, the conventional method is to enable the full-bridge submodule to work alternately in two operation modes and ensure that the working time length is the same in each mode. The internal loss optimization of the full-bridge submodule can be realized in a rotation mode, but the method belongs to open-loop control and has limited equalization effect. The other is a junction temperature feedback method, and the working time of the full-bridge submodule in two modes is corrected by introducing junction temperature feedback, so that balance control of loss is realized to the greatest extent. The junction temperature feedback mode has better loss balance optimization effect, but is complex to control, and an additional sensor is required to be introduced, so that the operation cost of the modularized multi-level converter is increased, and the economical efficiency is lower. Therefore, aiming at the problem of unbalanced loss distribution in the full-bridge modular multilevel converter sub-module, the loss balance control method with convenient implementation, good optimization effect and higher economy is provided, and meets the actual needs.
Aiming at the problems, a loss balance control method of the full-bridge type modularized multi-level converter is designed.
Disclosure of Invention
Aiming at the defects of the prior art, the invention aims to provide a loss balance control method of a full-bridge modular multilevel converter, which is used for correcting the working time of a full-bridge submodule in two operation modes by comparing the average loss of a left bridge arm and a right bridge arm of the full-bridge submodule in a power frequency period, and regulating the loss of each power device in the submodule so as to balance the power loss of the left bridge arm and the right bridge arm. Compared with the conventional method, the method is convenient to realize, has good optimizing effect, and does not need to increase the construction cost of the modularized multi-level converter.
The aim of the invention can be achieved by the following technical scheme:
a full-bridge modular multilevel converter loss balance control method comprises the following steps:
s1, monitoring current i of upper and lower bridge arms of each phase in real time arm (t) monitoring the capacitance voltage U of each full-bridge submodule in real time c (t) monitoring the state function S of each power device in the Quan Qiaozi module in real time j (t)(j＝1～4)；
S2, calculating the average loss P of each power device in a power frequency period by using bridge arm current, sub-module capacitor voltage and the switching state of each power device Tj ，P Dj ；
S3, respectively calculating average loss P of power devices under left bridge arm of Quan Qiaozi module 2 Average loss P of power device on right bridge arm 3 ；
S4, judging the switching state of the Quan Qiaozi module, and changing the operation mode of the sub-module when the sub-module is in the switching state;
s5, comparing average loss P of power devices under left bridge arm of full-bridge sub-module 2 Average loss P of power device on right bridge arm 3 And further, the working time of the sub-module in two operation modes is corrected, and the total loss balance of the left bridge arm and the right bridge arm power devices of the full-bridge sub-module is realized.
Further, the state function of each power device in S1 is:
further, the average loss calculation method of each power device in S2 in the power frequency period includes:
in the formula (2), P Tj Average loss of jth IGBT switch tube of full-bridge submodule, P Dj Average loss, P, of the j-th diode of the full-bridge submodule Tj_con For average conduction loss of jth IGBT switch tube, P Tj_sw For average switching loss of jth IGBT switch tube, P Dj_con P is the average conduction loss of the jth diode Dj_sw Is the average switching loss of the j-th diode.
Further, P Tj_con ，P Dj_con The calculation method of (1) is as follows:
in the formula (3), T is a power frequency period, i Tj (t) is the current flowing through the jth IGBT switch tube, i Dj (t) is the current flowing through the jth diode, V T0 Is the on-state voltage drop of the IGBT switch tube, V D0 Is the on-state voltage drop of the diode, R CE R is the on-state resistance of an IGBT switch tube D Is the on-state resistance of the diode.
Further, P Tj_sw ，P Dj_sw The calculation method of (1) is as follows:
in the formula (4), E on () Switching on the energy function for the IGBT switching tube E off () For the turn-off energy function of IGBT switch tube E rec () For reverse recovery of the energy function of the diode, N swj I is the switching times of the jth power device in a power frequency period Tj (k) I is the current flowing in the kth IGBT during the kth switch Dj (k) U is the current flowing by the jth diode in the kth switch c (k) The capacitor voltage of the submodule is the capacitor voltage of the power device at the kth switching time.
Further, when the bridge arm current i arm In the positive direction, flow through the power device T 1 ，D 2 ，D 3 ，T 4 Is zero, flows through the power device D 1 ，T 2 ，T 3 ，D 4 The current calculation method comprises the following steps:
when the bridge arm current i arm When the direction is negative, the current flows through the power device D 1 ，T 2 ，T 3 ，D 4 Is zero, flows through the power device T 1 ，D 2 ，D 3 ，T 4 The current calculation method comprises the following steps:
further, the average loss P of the power device under the left arm of the full-bridge sub-module in the S3 2 Average loss P of power device on right bridge arm 3 The calculation method of (1) is as follows:
further, the first operation mode of the full-bridge submodule in S4 is: the first power device and the fourth power device are conducted, and the submodule is in an input state when the second power device and the third power device are turned off; the first and third power devices are turned on, and the submodule is in a cut-off state when the second and fourth power devices are turned off. The second mode of operation is: the first power device and the fourth power device are conducted, and the submodule is in an input state when the second power device and the third power device are turned off; the second and fourth power devices are turned on, and the submodule is in a cut-off state when the first and third power devices are turned off.
Further, the switching state of the Quan Qiaozi module is determined in S4 to avoid introducing additional switching loss, that is, the operation mode of the sub-module can be changed in S5 only when the sub-module is in the switching state.
Further, in S5, by comparing P 2 And P 3 And further, the working time of the submodule in two operation modes is corrected, so that the loss balance of the left bridge arm and the right bridge arm power devices of the full-bridge submodule is realized, and the specific method is as follows: if P 2 >P 3 The full-bridge submodule is operated in a first operation mode; if P 2 <P 3 Then the full-bridge submodule is operated in a second operation mode, and finally P is caused to be 2 And P 3 And the loss balance of the left bridge arm power devices and the right bridge arm power devices in the full-bridge submodule is realized.
The invention has the beneficial effects that:
1. compared with the traditional full-bridge submodule control method only working in one operation mode, the full-bridge modularized multi-level converter loss balance control method provided by the invention effectively balances the loss of each power device in the submodule and improves the operation reliability of the full-bridge modularized multi-level converter system.
2. According to the loss balance control method for the full-bridge modular multilevel converter, average loss of the second power device and the third power device in the full-bridge submodule is compared, so that working time of the submodule in two operation modes is adjusted, and loss balance is achieved. Compared with the open loop control of the conventional rotation method, the loss balance effect is obviously improved.
3. The full-bridge modular multilevel converter loss balance control method provided by the invention has the advantages that no additional sensor is needed, the hardware structure of the modular multilevel converter system is not needed to be changed, and compared with a junction temperature feedback method, the full-bridge modular multilevel converter loss balance control method is simpler and easier to implement, and has stronger economical efficiency and practicability.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described, and it will be obvious to those skilled in the art that other drawings can be obtained according to these drawings without inventive effort.
FIG. 1 is a flow chart of an overall control method according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of a full-bridge submodule topology according to an embodiment of the present invention;
fig. 3 is a schematic diagram of a three-phase modular multilevel converter topology according to an embodiment of the invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Aiming at the problem of unbalanced loss in a full-bridge submodule of a modularized multi-level converter, the invention provides a loss balance control method of the full-bridge modularized multi-level converter, wherein a three-phase MMC topological structure and a full-bridge submodule topological structure are shown in figures 2 and 3. The three-phase MMC comprises six bridge arms, each bridge arm comprises N identical full-bridge Submodules (SM) and a bridge arm inductance L s . The full-bridge submodule comprises 4 IGBT switching devices T 1 ～T 4 4 diodes D 1 ～D 4 And 1 dc capacitor C.
As shown in fig. 1, a loss balance control method of a full-bridge modular multilevel converter includes: collecting bridge arm current, submodule capacitor voltage and submodule internal power device switching state; calculating average loss of each power device in the full-bridge submodule in a power frequency period; respectively calculating average loss of a left bridge arm lower power device and a right bridge arm upper power device of the Quan Qiaozi module; judging whether the full-bridge submodule is in an input state or not; and comparing the average loss of the power devices on the left bridge arm and the right bridge arm, further adjusting the working time of the full-bridge submodule in two operation modes, and finally realizing the balance of the loss distribution of each power device in the submodule.
The method specifically comprises the following steps:
s1, monitoring current i of upper and lower bridge arms of each phase in real time arm (t) monitoring the capacitance voltage U of each full-bridge submodule in real time c (t) monitoring the state function S of each power device in the Quan Qiaozi module in real time j (t)(j＝1～4)；
S2, calculating the average loss P of each power device in a power frequency period by using bridge arm current, sub-module capacitor voltage and the switching state of each power device Tj ，P Dj ；
S3, respectively calculating average loss P of power devices under left bridge arm of Quan Qiaozi module 2 Upper power of right bridge armDevice average loss P 3 ；
S4, judging the switching state of the Quan Qiaozi module, and changing the operation mode of the sub-module when the sub-module is in the switching state;
s5, comparing average loss P of power devices under left bridge arm of full-bridge sub-module 2 Average loss P of power device on right bridge arm 3 And further, the working time of the sub-module in two operation modes is corrected, and the total loss balance of the left bridge arm and the right bridge arm power devices of the full-bridge sub-module is realized.
The state functions of the power devices in the S1 are as follows:
the average loss calculation method of each power device in the S2 in the power frequency period comprises the following steps:
in the formula (2), P Tj Average loss of jth IGBT switch tube of full-bridge submodule, P Dj Average loss, P, of the j-th diode of the full-bridge submodule Tj_con For average conduction loss of jth IGBT switch tube, P Tj_sw For average switching loss of jth IGBT switch tube, P Dj_con P is the average conduction loss of the jth diode Dj_sw Is the average switching loss of the j-th diode.
Wherein P is Tj_con ，P Dj_con The calculation method of (1) is as follows:
in the formula (3), T is a power frequency period, i Tj (t) is the current flowing through the jth IGBT switch tube, i Dj (t) is the current flowing through the jth diode, V T0 Is the on-state voltage drop of the IGBT switch tube, V D0 Is the on-state voltage drop of the diode, R CE R is the on-state resistance of an IGBT switch tube D Is the on-state resistance of the diode.
P Tj_sw ，P Dj_sw The calculation method of (1) is as follows:
in the formula (4), E on () Switching on the energy function for the IGBT switching tube E off () For the turn-off energy function of IGBT switch tube E rec () For reverse recovery of the energy function of the diode, N swj I is the switching times of the jth power device in a power frequency period Tj (k) I is the current flowing in the kth IGBT during the kth switch Dj (k) U is the current flowing by the jth diode in the kth switch c (k) The capacitor voltage of the submodule is the capacitor voltage of the power device at the kth switching time.
When the bridge arm current i arm In the positive direction, flow through the power device T 1 ，D 2 ，D 3 ，T 4 Is zero, flows through the power device D 1 ，T 2 ，T 3 ，D 4 The current calculation method comprises the following steps:
when the bridge arm current i arm When the direction is negative, the current flows through the power device D 1 ，T 2 ，T 3 ，D 4 Is zero, flows through the power device T 1 ，D 2 ，D 3 ，T 4 The current calculation method comprises the following steps:
the average loss P of the power device under the left bridge arm of the full-bridge sub-module in the S3 2 Average loss P of power device on right bridge arm 3 The calculation method of (1) is as follows:
the first operation mode of the full-bridge submodule in the step S4 is as follows: the first power device and the fourth power device are conducted, and the submodule is in an input state when the second power device and the third power device are turned off; the first and third power devices are turned on, and the submodule is in a cut-off state when the second and fourth power devices are turned off. The second mode of operation is: the first power device and the fourth power device are conducted, and the submodule is in an input state when the second power device and the third power device are turned off; the second and fourth power devices are turned on, and the submodule is in a cut-off state when the first and third power devices are turned off.
The switching state of the Quan Qiaozi module is determined in S4 to avoid introducing additional switching loss, that is, the operation mode of the sub-module can be changed in S5 only when the sub-module is in the switching state.
By comparing P in S5 2 And P 3 And further, the working time of the submodule in two operation modes is corrected, so that the loss balance of the left bridge arm and the right bridge arm power devices of the full-bridge submodule is realized, and the specific method is as follows: if P 2 >P 3 The full-bridge submodule is operated in a first operation mode; if P 2 <P 3 Then the full-bridge submodule is operated in a second operation mode, and finally P is caused to be 2 And P 3 And the loss balance of the left bridge arm power devices and the right bridge arm power devices in the full-bridge submodule is realized.
In the description of the present specification, the descriptions of the terms "one embodiment," "example," "specific example," and the like, mean that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the present invention. In this specification, schematic representations of the above terms do not necessarily refer to the same embodiments or examples. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
The foregoing has shown and described the basic principles, principal features and advantages of the invention. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, and that the above embodiments and descriptions are merely illustrative of the principles of the present invention, and various changes and modifications may be made without departing from the spirit and scope of the invention, which is defined in the appended claims.
Claims (6)
1. The full-bridge modular multilevel converter loss balance control method is characterized by comprising the following steps of:
s1, monitoring bridge arm current i of each phase in real time arm (t) monitoring the capacitance voltage U of each full-bridge submodule in real time c (t) monitoring the state function S of each power device in the Quan Qiaozi module in real time j (t)(j＝1～4)；
S2, calculating average loss P of each power device in a power frequency period by using bridge arm current, sub-module capacitor voltage and switching state of each power device Tj ，P Dj ；
S3, respectively calculating average loss P of power devices under left bridge arm of Quan Qiaozi module 2 Average loss P of power device on right bridge arm 3 ；
S4, judging the switching state of the Quan Qiaozi module, and changing the operation mode of the sub-module when the sub-module is in the switching state;
s5, comparing average loss P of power devices under left bridge arm of full-bridge sub-module 2 Average loss P of power device on right bridge arm 3 Further, the working time of the sub-module in two operation modes is corrected, and the total loss balance of the left bridge arm and the right bridge arm power devices of the full-bridge sub-module is realized;
the first operation mode of the S4 sub-module is as follows: the first power device and the fourth power device are conducted, and the submodule is in an input state when the second power device and the third power device are turned off; the first power device and the third power device are conducted, the submodule is in a cutting state when the second power device and the fourth power device are turned off, and the second operation mode is as follows: the first power device and the fourth power device are conducted, and the submodule is in an input state when the second power device and the third power device are turned off; the second power device and the fourth power device are conducted, and the submodule is in a cutting state when the first power device and the third power device are turned off;
the upper power device of the left bridge arm corresponds to the first power device, the lower power device of the left bridge arm corresponds to the second power device, the upper power device of the right bridge arm corresponds to the third power device, and the lower power device of the right bridge arm corresponds to the fourth power device.
2. The method for controlling the loss balance of the full-bridge modular multilevel converter according to claim 1, wherein the state functions of the power devices in S1 are as follows:
3. the method for controlling the loss balance of the full-bridge modular multilevel converter according to claim 1, wherein the average loss calculation method of each power device in S2 in the power frequency period is as follows:
in the formula (2), P Tj Average loss of jth IGBT switch tube of full-bridge submodule, P Dj Average loss, P, of the j-th diode of the full-bridge submodule Tj_con For average conduction loss of jth IGBT switch tube, P Tj_sw For average switching loss of jth IGBT switch tube, P Dj_con P is the average conduction loss of the jth diode Dj_sw The average switching loss for the j-th diode,
wherein P is Tj_con ，P Dj_con The calculation method of (1) is as follows:
in the formula (3), T is a power frequency period, i Tj (t) is the current flowing through the jth IGBT switch tube, i Dj (t) is the current flowing through the jth diode, V T0 Is the on-state voltage drop of the IGBT switch tube, V D0 Is the on-state voltage drop of the diode, R CE R is the on-state resistance of an IGBT switch tube D Is the on-state resistance of the diode,
P Tj_sw ，P Dj_sw the calculation method of (1) is as follows:
in the formula (4), E on () Switching on the energy function for the IGBT switching tube E off () For the turn-off energy function of IGBT switch tube E rec () For reverse recovery of the energy function of the diode, N swj I is the switching times of the jth power device in a power frequency period Tj (k) I is the current flowing in the kth IGBT during the kth switch Dj (k) U is the current flowing by the jth diode in the kth switch c (k) The capacitor voltage of the submodule is the capacitor voltage of the power device at the kth switching time.
4. A method for controlling the loss balance of a full-bridge modular multilevel converter according to claim 3, wherein the method for calculating the current flowing through each power device comprises the following steps:
when the bridge arm current i arm In the positive direction, flow through the power device T 1 ，D 2 ，D 3 ，T 4 Is zero, flows through the power device D 1 ，T 2 ，T 3 ，D 4 The current calculation method comprises the following steps:
when the bridge arm current i arm When the direction is negative, the current flows through the power device D 1 ，T 2 ，T 3 ，D 4 Is zero, flows through the power device T 1 ，D 2 ，D 3 ，T 4 The current calculation method comprises the following steps:
the average loss P of the power device under the left bridge arm of the full-bridge sub-module in the S3 2 Average loss P of power device on right bridge arm 3 The calculation method of (1) is as follows:
5. the method according to claim 1, wherein the step of determining Quan Qiaozi the switching state of the module in S4 is to avoid introducing additional switching loss, that is, the operation mode of the sub-module can be changed in S5 only when the sub-module is in the switching state.
6. The method for controlling the loss balance of a full-bridge modular multilevel converter according to claim 1, wherein in S5, P is compared with 2 And P 3 And further, the working time of the submodule in two operation modes is corrected, so that the loss balance of the left bridge arm and the right bridge arm power devices of the full-bridge submodule is realized, and the specific method is as follows: if P 2 >P 3 The full-bridge submodule is operated in a first operation mode; if P 2 <P 3 Then the full-bridge submodule is operated in a second operation mode, and finally P is caused to be 2 And P 3 And the loss balance of the left bridge arm power devices and the right bridge arm power devices in the full-bridge submodule is realized.
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| CN104615842A (en) * | 2014-10-08 | 2015-05-13 | 中国南方电网有限责任公司电网技术研究中心 | Loss calculation method for power device of full-bridge modular multilevel converter |
| WO2015078367A1 (en) * | 2013-11-27 | 2015-06-04 | 国家电网公司 | Loss determination method based on modular multi-level voltage source converter |
| CN113395006A (en) * | 2021-06-04 | 2021-09-14 | 东南大学 | Modular multilevel converter loss optimization control method under voltage unbalance |
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| WO2015078367A1 (en) * | 2013-11-27 | 2015-06-04 | 国家电网公司 | Loss determination method based on modular multi-level voltage source converter |
| CN104615842A (en) * | 2014-10-08 | 2015-05-13 | 中国南方电网有限责任公司电网技术研究中心 | Loss calculation method for power device of full-bridge modular multilevel converter |
| CN113395006A (en) * | 2021-06-04 | 2021-09-14 | 东南大学 | Modular multilevel converter loss optimization control method under voltage unbalance |
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| Modulation, Losses, and Semiconductor Requirements of Modular Multilevel Converters;Steffen Rohner 等;IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS;20100831;第第57卷卷(第第8期期);2633-2642 * |
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