KR101650395B1 - Three-phase voltage source inverter and voltage loss compensation method thereof - Google Patents

Three-phase voltage source inverter and voltage loss compensation method thereof Download PDF

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KR101650395B1
KR101650395B1 KR1020150049012A KR20150049012A KR101650395B1 KR 101650395 B1 KR101650395 B1 KR 101650395B1 KR 1020150049012 A KR1020150049012 A KR 1020150049012A KR 20150049012 A KR20150049012 A KR 20150049012A KR 101650395 B1 KR101650395 B1 KR 101650395B1
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Prior art keywords
phase
current
voltage
angle
pass filtering
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KR1020150049012A
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Korean (ko)
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김태웅
조춘호
심동준
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경상대학교산학협력단
주식회사 맥시스
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Priority to KR1020150049012A priority Critical patent/KR101650395B1/en
Priority to PCT/KR2016/003674 priority patent/WO2016163788A1/en
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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
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/14—Estimation or adaptation of machine parameters, e.g. flux, current or voltage
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P27/00—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage
    • H02P27/04—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage
    • H02P27/06—Arrangements or methods for the control of AC motors characterised by the kind of supply voltage using variable-frequency supply voltage, e.g. inverter or converter supply voltage using dc to ac converters or inverters

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Inverter Devices (AREA)

Abstract

A three-phase voltage type inverter is disclosed. This three-phase voltage inverter consists of a converter that converts three-phase alternating current into two-phase direct current, detects the angle between the reference axis of three-phase alternating current and the reference axis of two-phase direct current, Phase current polarity value by calculating the current polarity angle by summing the phase difference of the DC current and dividing the calculated current polarity angle by six, and calculating the three-phase current polarity value by using the calculated three- And a voltage compensating unit for compensating the voltage.

Description

BACKGROUND OF THE INVENTION 1. Field of the Invention [0001] The present invention relates to a three-phase voltage type inverter and a method of compensating for the loss voltage.

The present invention relates to a three-phase voltage-type inverter and a method of compensating a loss voltage thereof, and more particularly, to a three-phase voltage-type inverter that minimizes a voltage loss due to a dead time of a three- And a method for compensating the loss voltage.

In case of 3-phase voltage type inverter, short-circuit prevention time, ie dead time, should be set in order to prevent short-circuit of each phase leg. However, due to the dead time, a non-linear region of voltage loss and output current occurs. Particularly, in the case of a motor, a current pulse is synthesized and torque pulsation, which is six times the output frequency, may occur. It can be seen that the non-linear region of the output current due to the dead time appears in the broken line region of FIG.

Also, under the conditions of light load and low speed region with high switching frequency, the influence of dead time becomes very large. To solve this problem, a dead time compensation algorithm is required. In the conventional dead time compensation method, a voltage method for compensating a voltage command by detecting an output voltage and comparing it with a PWM command, and a current method for compensating a voltage command by detecting the phase of an output current . FIG. 2 shows a circuit diagram to which the conventional dead time compensation algorithm is applied.

The basic existing compensation scheme is an algorithm that compensates dead time by detecting the output current polarity based on hysteresis. It does not cause a big problem when the load is high and the output frequency is high. However, in the light load and low speed region, And low pass filter (LPF) phase delay, it is not easy to determine the correct output current polarity. Referring to FIG. 3, it can be seen that phase delay occurs due to the low-pass filter.

As a compensation method to compensate for this, there is a method of pre-calculating the distorted average voltage for one cycle and adding and subtracting it to the command voltage of the current controller output, a method of compensating the voltage error calculated from the current information, There is a method to compensate for the voltage drop due to the turn-on delay time of the device, the turn-off delay time, and the method of deriving the sixth harmonic component included in the d-axis current by coordinate conversion of the output current. However, There is a disadvantage that it is necessary.

Accordingly, an object of the present invention is to provide a three-phase voltage-type inverter and a method of compensating the loss voltage of the three-phase voltage-type inverter using the three-phase current and angle information to minimize the occurrence of voltage- Method.

According to an aspect of the present invention, there is provided a three-phase voltage inverter including a converter for converting a three-phase alternating current into a two-phase direct current, Calculating a current polarity angle by summing the detected angle and a phase difference between the detected angle and the two-phase DC current, and calculating a three-phase current polarity value using a value obtained by dividing the calculated current polar angle by six And a voltage compensating unit for compensating for the loss voltage by using the calculated three-phase current polarity value.

Here, the operation unit may apply low-pass filtering to the phase difference of the two-phase DC current, and may calculate the current polarity angle by summing the phase difference applied with the low-pass filtering and the detected angle.

In addition, the converter may convert the three-phase alternating current into the two-phase direct current by applying low-pass filtering to the three-phase alternating current, or apply low-pass filtering to the two-phase direct current to provide the operation unit.

In addition, the operation unit may apply a hysteresis algorithm for preventing chattering to the three-phase current polarity value.

Further, the phase difference of the two-phase DC current can be calculated by the following equation.

Figure 112015033924405-pat00001

here,

Figure 112015033924405-pat00002
Is a phase difference,
Figure 112015033924405-pat00003
Is a d-axis detection current,
Figure 112015033924405-pat00004
Is the q-axis detection current.

Meanwhile, a loss voltage compensation method of a three-phase voltage type inverter according to an embodiment of the present invention includes a step of converting a three-phase alternating current into a two-phase direct current, a step of converting a reference axis of the three- Phase DC current value by using a value obtained by dividing the calculated current polarity angle by six, and calculating a current polarity angle by adding the phase difference between the detected angle and the two-phase DC current, And compensating the loss voltage using the calculated three-phase current polarity value.

Here, the calculating may include applying low-pass filtering to the phase difference of the two-phase DC current, and calculating the current polarity angle by summing the detected angle and the phase difference to which the low-pass filtering is applied.

The converting may further include applying low-pass filtering to the three-phase alternating current to convert the two-phase alternating current into the two-phase direct current, or applying low-pass filtering to the two-phase direct current.

Also, the calculating step may apply a hysteresis algorithm for preventing the chattering phenomenon to the three-phase current polarity value.

Further, the phase difference of the two-phase DC current can be calculated by the following equation.

Figure 112015033924405-pat00005

here,

Figure 112015033924405-pat00006
Is a phase difference,
Figure 112015033924405-pat00007
Is a d-axis detection current,
Figure 112015033924405-pat00008
Is the q-axis detection current.

As described above, according to various embodiments of the present invention, the accurate output current polarity can be determined using the three-phase current and angle information, so that the voltage loss due to the dead time of the three-phase voltage type inverter and the non- The phenomenon can be minimized.

1 is a waveform diagram showing a distortion waveform of a three-phase output current when voltage loss due to the dead time of the three-phase voltage-type inverter is not compensated.
2 is a circuit diagram to which the conventional dead time compensation algorithm is applied.
FIG. 3 is a waveform diagram showing a phase delay of an actual current and a filtered current when a conventional dead time compensation algorithm is applied.
4 is a block diagram showing the configuration of a three-phase voltage inverter according to an embodiment of the present invention.
5 and 6 are circuit diagrams in which a loss voltage compensation algorithm of a three-phase voltage-type inverter according to an embodiment of the present invention is applied.
FIG. 7 is a diagram illustrating a relationship between a phase difference and a current polarity angle calculated using current and angle information according to an exemplary embodiment of the present invention as a space vector.
FIGS. 8 to 11 are waveform diagrams showing phase difference waveforms and current polarity angles before and after applying low-pass filtering according to an embodiment of the present invention.
12 is a flowchart illustrating a method of compensating a loss voltage of a three-phase voltage inverter according to an embodiment of the present invention.
13 is a block diagram of a PMSM speed control system applying a loss voltage compensation method of a three-phase voltage inverter according to an embodiment of the present invention.
FIGS. 14 to 17 are diagrams for explaining the case where the loss voltage compensation method according to an embodiment of the present invention is applied, the case where the existing loss voltage compensation method is applied and the case where the loss voltage compensation method is not applied. The FFT result, the a-phase current FFT result, the magnified waveform, the dq current, and the FFT analysis result.

Various embodiments of the present invention will be described in detail with reference to the accompanying drawings.

4 is a block diagram showing the configuration of a three-phase voltage inverter according to an embodiment of the present invention.

4 is a block diagram showing the configuration of a three-phase voltage inverter 100 according to an embodiment of the present invention.

The converting unit 110 converts the three-phase alternating current into the two-phase direct current. More specifically, when the three-phase alternating current is inputted from the outside, the converting unit 110 can convert the three-phase alternating current into the two-phase direct current through coordinate conversion. The converting unit 110 converts the three-phase alternating current into a two-phase direct current, calculates a current polar angle using the phase difference of the two-phase direct current converted in the calculating unit 120, and determines a more accurate current polar angle .

In addition, the conversion unit 110 may apply low-pass filtering to the three-phase alternating current and then convert the two-phase direct current or apply low-pass filtering to the two-phase direct current. The converting unit 110 may remove noise due to switching by applying low-pass filtering to the three-phase alternating current or the two-phase direct current.

The calculating unit 120 calculates the phase difference of the two-phase DC current, the current polarity angle, and the three-phase current polarity value. Specifically, the operation unit 120 can calculate the phase difference using the two-phase direct current converted by the conversion unit 110 through the following expression (1). In Equation (1)

Figure 112015033924405-pat00009
Represents a phase difference,
Figure 112015033924405-pat00010
Represents the d-axis detection current,
Figure 112015033924405-pat00011
Represents the q-axis detection current. Here, since the phase difference is calculated using the two-phase DC current, the phase difference delay does not occur even when the low-pass filtering is applied.

Figure 112015033924405-pat00012

In addition, the operation unit 120 can apply low-pass filtering to the calculated phase difference. In this case, current distortion can be prevented. The calculating unit 120 detects the angle between the reference axis of the three-phase alternating current and the reference axis of the two-phase DC current, and calculates the sum of the detected angles and the phase difference to which the low-pass filtering is applied, The polar angle can be calculated. However, the computing unit 120 may calculate the current polarity angle by adding the detected angle and the phase difference without applying low-pass filtering to the phase difference. In Equation (2)

Figure 112015033924405-pat00013
Represents a phase difference to which low-pass filtering is applied,
Figure 112015033924405-pat00014
Represents the current polarity angle,
Figure 112015033924405-pat00015
Represents the angle between the reference axis of three-phase alternating current and the reference axis of two-phase direct current.

Figure 112015033924405-pat00016

Further, the calculating unit 120 can calculate the three-phase current polarity value using a value obtained by dividing the current polar angle by six. Specifically, the three-phase current polarity value is calculated by using a sine function as a result of dividing the angle of the current polarity by six and dividing by six, as shown in the following equation (3). In Equation (3)

Figure 112015033924405-pat00017
Represents a value obtained by dividing the angle of the current polarity by six,
Figure 112015033924405-pat00018
Represents the three-phase current polarity value.

Figure 112015033924405-pat00019

In addition, the operation unit 120 may apply a hysteresis algorithm for preventing the chattering phenomenon to the three-phase current polarity value. The chattering phenomenon is a phenomenon in which the contacts of the switch are repeatedly attached and dropped for a very short time due to mechanical vibrations. Such a chattering phenomenon can be prevented by applying the hysteresis algorithm. Therefore, by applying the hysteresis algorithm to the three-phase current polarity value, the chattering phenomenon due to the phase difference ripple can be reduced.

The voltage compensating unit 130 compensates for the voltage loss due to the dead time of the three-phase voltage type inverter. More specifically, a value obtained by multiplying the three-phase current polarity value calculated by the calculation unit 120 by the loss voltage is added to the three-phase voltage as in the following equation (4), and the loss voltage Can be compensated. In Equation (4)

Figure 112015033924405-pat00020
Represents the compensated three-phase voltage,
Figure 112015033924405-pat00021
Represents a three-phase voltage,
Figure 112015033924405-pat00022
Represents the loss voltage.

Figure 112015033924405-pat00023

Also, the three-phase voltage may be a command three-phase voltage, and the compensated command three-phase voltage can be calculated using Equation (4).

5 and 6 are circuit diagrams in which a loss voltage compensation algorithm of a three-phase voltage-type inverter according to an embodiment of the present invention is applied.

The circuit diagram of FIG. 5 shows a PMSM speed control block diagram to which a lost voltage compensation algorithm is applied in the case of a three-phase voltage type inverter for driving a motor. The encoder and current sensor detect the angle between the reference axis of three-phase alternating current and the reference axis of two-phase direct current and the three-phase alternating current, and control the speed of the motor by using the detected angle and current value.

Referring to FIG. 6, the loss voltage compensation algorithm converts a three-phase alternating current into a two-phase direct current, calculates an angle between a reference axis of the three-phase alternating current and a reference axis of the two- And the current polarity angle is calculated. The calculated 3-phase current polarity value is calculated using the value obtained by dividing the calculated current polarity angle by 6, and the value obtained by multiplying the calculated 3-phase current polarity value by the lost voltage value is added to the 3-phase voltage to compensate the lost voltage .

FIG. 7 is a diagram illustrating a relationship between a phase difference and a current polarity angle calculated using current and angle information according to an exemplary embodiment of the present invention as a space vector.

7, the phase difference 720 calculated by using the two-phase DC current is added to the angle 710 between the reference axis of the three-phase alternating current and the reference axis of the two-phase DC current to obtain the current polarity angle 730 . In this case, the phase difference 720 to which the low-pass filtering is applied is added to the angle 710 between the reference axis of the three-phase alternating current and the reference axis of the two-phase DC current to calculate the current polarity angle 730, can do. Since the phase difference 720 is a direct current component, the phase difference delay does not occur even when low pass filtering is applied.

FIGS. 8 to 11 are waveform diagrams showing phase difference waveforms and current polarity angles before and after applying low-pass filtering according to an embodiment of the present invention.

FIGS. 8 and 9 are waveform diagrams when the low-pass filtering is not applied to the phase difference of the two-phase DC current and when the low-pass filtering is applied. FIG.

Fig. 9 shows an enlarged waveform obtained by enlarging the phase difference waveform of Fig. Referring to Fig. 9 (a), it can be seen that the phase difference of the two-phase DC current is caused by noise due to the influence of the current ripple. As shown in Fig. 9 (b), the phase difference to which the low-pass filtering is applied may have little ripple effect because the ripple effect is minimized.

FIGS. 10 and 11 are waveform diagrams showing a current polarity angle a when low-pass filtering is not applied to the phase difference of the two-phase DC current and a current polarity angle b when low-pass filtering is applied.

Fig. 11 shows a value obtained by dividing the current polarity angle of Fig. 10 into six equal parts. 10 and 11, since the phase difference to which low-pass filtering is not applied is a noise due to the influence of the current ripple, when the current polarity angle is calculated using the phase difference to which no low-pass filtering is applied (a) Is generated. On the other hand, since the influence of the ripple is minimized in the phase difference applied with the low-pass filtering, a more accurate current polarity angle can be calculated (b) when the current polarity angle is calculated using the phase difference to which the low-pass filtering is applied.

12 is a flowchart illustrating a method of compensating a loss voltage of a three-phase voltage inverter according to an embodiment of the present invention.

12, first, the three-phase alternating current is converted into the two-phase direct current (S1210). In this case, low-pass filtering can be applied to three-phase alternating current or two-phase direct current.

Subsequently, the three-phase alternating current polarity value is calculated (S1220). Specifically, the angle between the reference axis of the three-phase alternating current and the reference axis of the two-phase DC current is detected, the phase difference between the detected angle and the two-phase DC current is summed to calculate the current polarity angle, The three-phase current polarity value is calculated using the equally divided values. In this case, a hysteresis algorithm for preventing the chattering phenomenon can be applied to the three-phase current polarity value.

Next, the loss voltage is compensated using the calculated three-phase current polarity value (S1230).

Meanwhile, a non-transitory computer readable medium in which a program for performing the lost voltage compensation method according to the present invention is stored may be provided.

A non-transitory readable medium is a medium that stores data for a short period of time, such as a register, cache, memory, etc., but semi-permanently stores data and is readable by the apparatus. In particular, the various applications or programs described above may be stored on non-volatile readable media such as CD, DVD, hard disk, Blu-ray disk, USB, memory card, ROM,

13 is a block diagram of a PMSM speed control system applying a loss voltage compensation method of a three-phase voltage inverter according to an embodiment of the present invention.

This experiment simulates three - phase voltage inverter for PMSM driving using PSIM to verify the effectiveness of the loss voltage compensation method for three - phase voltage inverter. The simulation system of this experiment was performed using the parameter values described in Table 1 below.

Figure 112015033924405-pat00024

The results of the simulation of this experiment will be described in detail with reference to Figs. 14 to 17 below.

FIGS. 14 to 17 are diagrams for explaining the case where the loss voltage compensation method according to an embodiment of the present invention is applied, the case where the existing loss voltage compensation method is applied and the case where the loss voltage compensation method is not applied. The FFT result, the a-phase current FFT result, the magnified waveform, the dq current, and the FFT analysis result.

In this experiment, the d-axis current is set to 0% and 10% of the rated current to determine the effectiveness of the loss voltage compensation method for the three-phase voltage type inverter. %) And a low speed range (output frequency 1 Hz, 15 rpm).

Figure 112015033924405-pat00025

Figs. 14 and 15 are waveform diagrams showing simulation results for a case where the d-axis current is set to 0A.

14 (a) shows an enlarged waveform of the output three-phase current, the a-phase current FFT result, and the a-phase current FFT result when the loss voltage compensation method is not applied. 14 (b) shows an enlarged waveform of the output three-phase current, the a-phase current FFT result and the a-phase current FFT result when the conventional loss voltage compensation method is applied, and Fig. 14 Phase current, a-phase current, and a-phase current when the loss voltage compensation method according to one embodiment of the present invention is applied.

Referring to FIG. 14, when the conventional loss voltage compensation method is applied, the fifth and seventh harmonic components can be reduced in the case (b). However, since phase delay occurs due to the low-pass filter, . However, in case (c) of applying the loss voltage compensation method according to an embodiment of the present invention, since the phase delay does not occur even if low-pass filtering is applied, the current polarity can be accurately determined and the current ripple can be minimized .

15 (a) shows the dq current and the FFT analysis result when the loss voltage compensation method is not applied. 15 (b) shows the dq current and FFT analysis result when the conventional loss voltage compensation method is applied, and FIG. 15 (c) shows the dq current and FFT analysis result when the loss voltage compensation method according to the embodiment of the present invention is applied. Current and FFT analysis results.

Referring to FIG. 15, in the case of applying the loss voltage compensation method according to an embodiment of the present invention, it is possible to determine the correct current polarity, so that the current ripple can be minimized.

Referring to FIGS. 14 and 15C, in the case of applying the loss voltage compensation method according to an embodiment of the present invention, the 5th and 7th current ripples are reduced and the 2-phase dq current It can be confirmed that the sixth current ripple is reduced.

Figs. 16 and 17 are waveform diagrams showing simulation results when the d-axis current is set to 10% of the rated current.

FIGS. 16 and 17 (a) show the output waveforms of the output three-phase current, the a-phase current, the a-phase current, and the dq current when the loss voltage compensation method is not applied . FIGS. 16 and 17 (b) show the output three-phase current, the a-phase current FFT result, the aq phase current FFT result, the dq current and the FFT analysis result Fig. 16 and Fig. 17 (c) show the output three-phase current, the a-phase current FFT result, and the a-phase current FFT result of the case of applying the loss voltage compensation method according to an embodiment of the present invention, , dq current and FFT analysis results.

Referring to FIGS. 16 and 17, it can be seen that the resultant waveform is similar to the case where the d-axis current is set to 0A. That is, when the conventional loss voltage compensation method is applied, the fifth and seventh harmonic components can be reduced in the case (b), but a ripple may appear in the output three-phase current due to the phase delay caused by the low-pass filter. However, in case (c) of applying the loss voltage compensation method according to an embodiment of the present invention, since the phase delay does not occur even if low-pass filtering is applied, the current polarity can be accurately determined and the current ripple can be minimized .

16 and 17C, in the case of applying the loss voltage compensation method according to an embodiment of the present invention, in the case of three-phase current, the fifth-order and seventh-order current ripples are reduced and the two- It can be confirmed that the sixth current ripple is reduced.

As described above, according to various embodiments of the present invention, the accurate output current polarity can be determined using the three-phase current and angle information, so that the voltage loss due to the dead time of the three-phase voltage type inverter and the non- The phenomenon can be minimized.

While the present invention has been particularly shown and described with reference to exemplary embodiments thereof, it is clearly understood that the same is by way of illustration and example only and is not to be construed as limiting the scope of the invention as defined by the appended claims. It will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention.

100: Three-phase voltage type inverter 110:
120: Operation unit 130: Voltage compensation unit

Claims (5)

In a three-phase voltage type inverter,
A converter for converting the three-phase alternating current into the two-phase direct current;
Detecting an angle between a reference axis of the three-phase alternating current and a reference axis of the two-phase DC current, calculating a current polarity angle by summing the detected angle and a phase difference between the two-phase DC current, An operation unit for calculating a three-phase current polarity value using a value obtained by dividing the angle by six; And
And a voltage compensator for compensating the loss voltage using the calculated three-phase current polarity value. The method according to claim 1,
The operation unit,
Wherein a low-pass filtering is applied to the phase difference of the two-phase DC current, and the current polarity angle is calculated by summing the phase difference applied with the low-pass filtering and the detected angle. The method according to claim 1,
Wherein,
Wherein the low-pass filtering unit applies low-pass filtering to the three-phase alternating current to convert the two-phase direct current into the two-phase direct current, or applies low-pass filtering to the two-phase direct current to provide the low-pass filtering to the operation unit. The method according to claim 1,
The operation unit,
And a hysteresis algorithm for preventing a chattering phenomenon is applied to the three-phase current polarity value. The method according to claim 1,
Wherein the phase difference of the two-phase DC current is calculated by the following equation: < EMI ID = 1.0 >
Figure 112015033924405-pat00026

here,
Figure 112015033924405-pat00027
Is a phase difference,
Figure 112015033924405-pat00028
Is a d-axis detection current,
Figure 112015033924405-pat00029
Is the q-axis detection current.
KR1020150049012A 2015-04-07 2015-04-07 Three-phase voltage source inverter and voltage loss compensation method thereof KR101650395B1 (en)

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JP2014176253A (en) * 2013-03-12 2014-09-22 Aisin Seiki Co Ltd Power converter

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JP2012244674A (en) * 2011-05-17 2012-12-10 Meidensha Corp Parallel operation device and parallel operation method of pwm power converter
JP2014176253A (en) * 2013-03-12 2014-09-22 Aisin Seiki Co Ltd Power converter
KR101414887B1 (en) * 2013-06-03 2014-07-03 엘에스산전 주식회사 Multi-level inverter and method for operating the same

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심동준 외, 3상 전압형 인버터의 데드타임 보상기법, 전력전자학회 2014년도 하계학술대회 논문집, 2014.7, 399-400 *

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