CN110920422A - High-power electric vehicle charging device based on current source and control method - Google Patents

High-power electric vehicle charging device based on current source and control method Download PDF

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CN110920422A
CN110920422A CN201911078102.4A CN201911078102A CN110920422A CN 110920422 A CN110920422 A CN 110920422A CN 201911078102 A CN201911078102 A CN 201911078102A CN 110920422 A CN110920422 A CN 110920422A
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CN110920422B (en
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张昌浩
何晋伟
杜李扬
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Tianjin University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60LPROPULSION OF ELECTRICALLY-PROPELLED VEHICLES; SUPPLYING ELECTRIC POWER FOR AUXILIARY EQUIPMENT OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRODYNAMIC BRAKE SYSTEMS FOR VEHICLES IN GENERAL; MAGNETIC SUSPENSION OR LEVITATION FOR VEHICLES; MONITORING OPERATING VARIABLES OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRIC SAFETY DEVICES FOR ELECTRICALLY-PROPELLED VEHICLES
    • B60L53/00Methods of charging batteries, specially adapted for electric vehicles; Charging stations or on-board charging equipment therefor; Exchange of energy storage elements in electric vehicles
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60LPROPULSION OF ELECTRICALLY-PROPELLED VEHICLES; SUPPLYING ELECTRIC POWER FOR AUXILIARY EQUIPMENT OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRODYNAMIC BRAKE SYSTEMS FOR VEHICLES IN GENERAL; MAGNETIC SUSPENSION OR LEVITATION FOR VEHICLES; MONITORING OPERATING VARIABLES OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRIC SAFETY DEVICES FOR ELECTRICALLY-PROPELLED VEHICLES
    • B60L53/00Methods of charging batteries, specially adapted for electric vehicles; Charging stations or on-board charging equipment therefor; Exchange of energy storage elements in electric vehicles
    • B60L53/20Methods of charging batteries, specially adapted for electric vehicles; Charging stations or on-board charging equipment therefor; Exchange of energy storage elements in electric vehicles characterised by converters located in the vehicle
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60LPROPULSION OF ELECTRICALLY-PROPELLED VEHICLES; SUPPLYING ELECTRIC POWER FOR AUXILIARY EQUIPMENT OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRODYNAMIC BRAKE SYSTEMS FOR VEHICLES IN GENERAL; MAGNETIC SUSPENSION OR LEVITATION FOR VEHICLES; MONITORING OPERATING VARIABLES OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRIC SAFETY DEVICES FOR ELECTRICALLY-PROPELLED VEHICLES
    • B60L53/00Methods of charging batteries, specially adapted for electric vehicles; Charging stations or on-board charging equipment therefor; Exchange of energy storage elements in electric vehicles
    • B60L53/60Monitoring or controlling charging stations
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T90/00Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02T90/10Technologies relating to charging of electric vehicles
    • Y02T90/14Plug-in electric vehicles

Abstract

The invention discloses a high-power electric vehicle charging device based on a current source and a control method, wherein a novel topological structure of a front-stage current source type rectifier (CSR) and a rear-stage input-series output parallel resonant double-active bridge (ISOP-DAB) is adopted, the front-stage CSR adopts a Specific Harmonic Elimination (SHE) modulation method with variable modulation ratio and directly controls the output direct-current voltage of the rear-stage (ISOP-DAB); the later-stage ISOP-DAB adopts a carrier phase shift control method to reduce the output voltage ripple. This novel electric automobile charging device topological structure and control are all very simple, and compare in having saved a large amount of electrolytic capacitor in current other electric automobile charging device, volume, weight and the equal greatly reduced of cost.

Description

High-power electric vehicle charging device based on current source and control method
Technical Field
The invention relates to the field of high-power AC/DC conversion, in particular to a high-power electric vehicle charging device based on a current source converter and a control method.
Background
With the increasingly prominent energy and environmental problems and the underdeveloped technology, electric vehicles with the advantages of high efficiency, energy conservation, environmental protection and the like attract people's attention. The electric automobile charging device is the most important supporting facility of the electric automobile, and becomes a research hotspot at home and abroad.
The prior widely applied high-power electric vehicle charging device generally adopts a two-stage structure, wherein the front stage is a three-phase diode uncontrolled rectifying circuit, and the rear stage is an input series and output parallel isolated DC/DC converting circuit. The charging device is simple in structure and control, but the power factor is uncontrollable, and a large amount of harmonic waves can be generated, so that the safe and stable operation of a power grid is influenced. For this reason, most of the current research proposals use a voltage source type PWM rectifier circuit such as a cascade H-bridge, MMC, or the like as a front stage of the electric vehicle charging device. The high-power electric vehicle charging device taking the voltage source type rectifier as the front stage is reliable in structure and control, flexible in operation mode and mature in related research and application. However, the charging device has a plurality of defects, and the structures of the front stage and the rear stage all need a large amount of electrolytic capacitors, so the charging device has large volume, heavy weight and high cost; cascade H bridge, MMC structure are complicated, and voltage, current protection are very loaded down with trivial details, and need voltage-sharing control, have reduced the reliability of device to a certain extent.
On the other hand, the current source type converter is widely applied to medium-voltage high-power occasions due to the advantages of simple control, natural short circuit resistance, four-quadrant operation and the like. In order to reduce switching loss and ensure system efficiency, the switching frequency of a high-power current source converter is generally set to be several hundred hertz, and a Specific Harmonic Elimination (SHE) modulation method is widely applied due to excellent harmonic characteristics under extremely low switching frequency. However, the traditional SHE modulation method has a small degree of freedom for control due to a fixed switching angle, which restricts the further application of the current source converter in high-power situations.
Disclosure of Invention
The invention aims to overcome the defects in the prior art and provides a novel high-power electric vehicle charging device based on a current source and a control method thereof, wherein the electric vehicle charging device adopts a topological structure that a front-stage current source type rectifier is adopted, and a rear-stage input is connected in series and outputs a parallel resonant type double-active bridge; the front stage directly controls the output direct-current voltage of the rear stage by using a specific harmonic elimination modulation method of the variable modulation ratio of the current source rectifier, and the rear stage carries out carrier phase shift control on the resonant double-active bridge. Compared with the existing electric automobile charging device, the topological structure and the control are greatly simplified, the size, the weight and the cost are greatly reduced, and the system reliability is further enhanced.
The purpose of the invention is realized by the following technical scheme:
a high-power electric vehicle charging device based on a current source is characterized in that a topological structure of the high-power electric vehicle charging device is divided into a front stage and a rear stage, the front stage is a current source type rectifier (CSR), the rear stage is a resonant double-active bridge (ISOP-DAB) with input, series and output connected in parallel, the CSR consists of six gate pole converter thyristors to form a three-phase full bridge, an alternating current side of the three-phase full bridge is connected to a PCC (point of common coupling) through a CL filter and then exchanges power with a three-phase power grid, and a direct current side is connected with a direct current smoothing inductor in; the ISOP-DAB is characterized in that three resonant double-active bridges are connected in series at one end to serve as a rear-stage high-voltage input side, the other end of each resonant double-active bridge is connected in parallel to serve as a rear-stage low-voltage output side, the rear-stage high-voltage input side is connected with a direct-current side of a front-stage CSR, and the rear-stage low-voltage output sides are connected in parallel and then connected with a load through a direct-current; the resonant double-active bridge is composed of two H-bridges and a high-frequency isolation transformer, wherein the H-bridge is a single-phase full-bridge structure composed of four Insulated Gate Bipolar Transistors (IGBT), a direct-current filter capacitor is connected to the H-bridge at the rear high-voltage input side at the direct-current side, and the alternating-current side is connected with the primary side of the high-frequency isolation transformer through a first resonant capacitor and forms a resonant loop with the leakage inductance of the high-frequency isolation transformer; the secondary side of the high-frequency isolation transformer is connected with the alternating current side of the H bridge at the rear-stage low-voltage output side through a second resonant capacitor, and a resonant circuit is formed in the same way; the direct current side of the H bridge at the low-voltage output side of the rear stage is directly connected in parallel with the direct current sides of the H bridges at the low-voltage output sides of other resonant type double-active bridges.
A control method for a charging device of a high-power electric automobile, wherein a CSR directly controls the direct-current voltage at the output side of the low-voltage side of a rear-stage ISOP-DAB, and the ISOP-DAB uses a square wave control based on carrier phase shift to reduce the ripple of the output voltage, and the method specifically comprises the following steps:
(1) at the beginning of each sampling period, the three-phase voltage V of the power grid is acquired by using a sampling circuitPCCAnd ISOP-DAB low-voltage side output direct-current voltage Vdc(ii) a Three-phase power networkVoltage VPCCGenerating a real-time phase theta of a grid voltage via a phase locked loop PLLg
(2) The DC voltage V is collecteddcAnd a DC voltage reference Vdc_refSubtracting the difference to obtain a feedback quantity, and obtaining a modulation ratio m required by CSR through a Proportional Integral (PI) controllera
(3) Using the resulting modulation ratio maObtaining the switching angle theta required by the modulation ratio variable specific harmonic elimination modulation1~θ10
(4) Real-time phase theta of the obtained power grid voltagegAnd a switching angle theta1~θ10PWM modulation of input CSR to generate corresponding gate control signal G1~G6The control circuit is used for controlling the turn-on and turn-off of the front-stage CSR gate commutated thyristor;
(5) and the later-stage ISOP-DAB adopts square wave voltage control based on carrier phase shift.
Further, the generation of the modulation ratio variable specific harmonic elimination modulation switching angle in step (3) comprises the steps of:
(301) using a variable specific harmonic cancellation modulation of 9 pulse modulation ratios, theta1~θ4Is a free angle, θ6~θ10By theta1~θ4And bypass pulse width θ0Can pass through the free angle theta1~θ4Obtained by the following formula:
Figure BDA0002263111930000021
(302) the modulation ratio m obtained in the step (2) isaSubstituting the formula (1-1) into the following formula, and obtaining the switching angle theta by iterative solution1~θ10
Figure BDA0002263111930000031
Wherein, thetakI.e. for theta1~θ10K is 1 to 10.
Further, the square wave voltage control based on carrier phase shift in the step (5) comprises the following steps:
(501) determining the frequency f of the square wave control signal according to the first resonance capacitor and the leakage inductance of the high-frequency isolation transformersw:
Figure BDA0002263111930000032
Wherein the capacitance value of the first resonant capacitor is Cr1Leakage inductance of high frequency isolation transformer is Lr1
(502) H bridges at the input end and the output end of each resonant double-active bridge of ISOP-DAB use completely same square wave control signals with the duty ratio of 0.5;
(503) the square wave control signals of the two IGBTs of the upper bridge arm of each H bridge are the same, the square wave control signals of the two IGBTs of the lower bridge arm are the same, but the phase difference between the square wave control signals of the upper bridge arm and the square wave control signals of the lower bridge arm is 180 degrees, and a dead zone exists;
(504) the square wave control signals between the three resonant dual-active bridges differ in phase by 120 °.
Compared with the prior art, the technical scheme of the invention has the following beneficial effects:
1. the electric automobile charging device of the invention adopts the high-power current source type rectifier at the front stage, and compared with the cascade H bridge or MMC rectifier which is widely applied at present, a large amount of high-capacity electrolytic capacitors are saved, which means that the volume, the weight and the cost of the device are greatly reduced.
2. The electric vehicle charging device provided by the invention is very simple to control, and the rear stage of the electric vehicle charging device adopts the resonant double-active-bridge with input series and output parallel, so that the voltage can be automatically equalized without control, therefore, the whole electric vehicle charging device only needs to be controlled by one direct-current voltage, the control structure is greatly simplified, and the reliability of the device is favorably improved.
3. The front stage of the electric vehicle charging device provided by the invention adopts the high-power current source type converter, and has natural short-circuit resistance, so that the fault resistance of the system is greatly enhanced. And the front stage adopts a high-power current source type rectifier, so that the complex starting problem of cascading H-bridges or MMC is avoided, and the whole system can be directly started without starting control.
4. The pre-stage high-power current source type converter adopts a specific harmonic elimination modulation method with adjustable modulation ratio, thereby greatly reducing the switching frequency, reducing the switching loss of a switching device and greatly improving the efficiency of a system.
5. The resonant double-active bridge with the rear-stage input connected in series and the output connected in parallel works in a zero-current switching state, the switching loss is greatly reduced, and the system efficiency is greatly improved.
6. The rear-stage input series output parallel resonance type double-active bridge adopts carrier phase shift, so that the ripple of the output direct-current voltage of the electric automobile charging device is greatly reduced, namely the capacitance value of the direct-current filter electrolytic capacitor can be reduced, and the size and the cost of the device are further reduced.
Drawings
Fig. 1 is a schematic view illustrating a topology and control of an electric vehicle charging apparatus according to the present invention.
FIG. 2 is a comparison diagram of experimental waveforms before and after the post-stage ISOP-DAB carrier phase shift of the charging device of the electric vehicle.
Fig. 3 is an experimental waveform diagram of the electric vehicle charging device of the present invention when the load suddenly changes.
Detailed Description
The invention is described in further detail below with reference to the figures and specific examples. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The topology of the novel electric vehicle charging device provided by the invention is shown in the upper half part of fig. 1, and the structure is as follows: the charging device is divided into a front stage and a rear stage, the front stage is a current source type rectifier (CSR), the rear stage is a resonant double-active bridge (ISOP-DAB) with input, series connection and output in parallel, the CSR comprises a three-phase full bridge formed by six gate pole converter thyristors, the alternating current side of the three-phase full bridge is connected to a point of common connection PCC through a CL filter and then exchanges power with a three-phase power grid, and the direct current side is connected with a direct current smoothing inductor in series and then is connected with the high voltage side of the ISOP-DA; the ISOP-DAB is characterized in that three resonant double-active bridges are connected in series at one end to serve as a rear-stage high-voltage input side, the other end of each resonant double-active bridge is connected in parallel to serve as a rear-stage low-voltage output side, the rear-stage high-voltage input side is connected with a direct-current side of a front-stage CSR, and the rear-stage low-voltage output sides are connected in parallel and then connected with a load through a direct-current; the resonant double-active bridge is composed of two H-bridges and a high-frequency isolation transformer, wherein the H-bridge is a single-phase full-bridge structure composed of four Insulated Gate Bipolar Transistors (IGBT), a direct-current filter capacitor is connected to the H-bridge at the rear high-voltage input side at the direct-current side, and the alternating-current side is connected with the primary side of the high-frequency isolation transformer through a first resonant capacitor and forms a resonant loop with the leakage inductance of the high-frequency isolation transformer; the secondary side of the high-frequency isolation transformer is connected with the alternating current side of the H bridge at the rear-stage low-voltage output side through a second resonant capacitor, and a resonant circuit is formed in the same way; the direct current side of the low-voltage output side H bridge is directly connected in parallel with the direct current sides of the low-voltage output sides of other resonant type double-active bridges.
The control method of the novel electric vehicle charging device provided by the invention is shown in the lower half part of fig. 1, and the specific method is as follows:
(1) at the beginning of each sampling period, the three-phase voltage V of the power grid is acquired by using a sampling circuitPCCAnd ISOP-DAB low-voltage side output direct-current voltage Vdc(ii) a Three-phase network voltage VPCCGenerating a real-time phase theta of a grid voltage via a phase locked loop PLLg
(2) The DC voltage V is collecteddcAnd a DC voltage reference Vdc_refSubtracting the difference to obtain a feedback quantity, and obtaining a modulation ratio m required by CSR through a Proportional Integral (PI) controllera
(3) Using the resulting modulation ratio maObtaining the switching angle theta required by the modulation ratio variable specific harmonic elimination modulation1~θ20
(4) Real-time phase theta of the obtained power grid voltagegAnd a switching angle theta1~θ20PWM modulation of input CSR to generate corresponding gate control signal G1~G6The control circuit is used for controlling the turn-on and turn-off of the front-stage CSR gate commutated thyristor;
(5) and the later-stage ISOP-DAB adopts square wave voltage control based on carrier phase shift.
Specifically, the method comprises the following steps:
the generation of the modulation ratio variable specific harmonic cancellation modulation switching angle described in the step (3) comprises the steps of:
(301) the obtained maSubstituting the following formula to obtain the switching angle theta1~θ4And bypass pulse width:
(302) the obtained maSubstituting the following formula to obtain the switching angle theta1~θ4And bypass pulse width:
Figure BDA0002263111930000051
wherein, thetakI.e. for theta1~θ10The kth switching angle of (1).
(303) M obtained in the step (2)aSubstituting the formula (1-1) into the following formula, and obtaining the switching angle theta by iterative solution1~θ10
Figure BDA0002263111930000052
The square wave voltage control based on carrier phase shift in the step (5) comprises the following steps:
(501) according to the resonant capacitor C usedr1And leakage inductance L of high-frequency isolation transformerr1Determining the frequency f of a square-wave control signalsw:
Figure BDA0002263111930000053
(502) H bridges at the input end and the output end of each resonant double-active bridge of ISOP-DAB use completely same square wave control signals with the duty ratio of 0.5;
(503) the square wave control signals of the two IGBTs of the upper bridge arm of each H bridge are the same, the square wave control signals of the two IGBTs of the lower bridge arm are the same, but the phase difference between the square wave control signals of the upper bridge arm and the square wave control signals of the lower bridge arm is 180 degrees, and a dead zone exists;
(504) the square wave control signals between the three resonant dual-active bridges differ in phase by 120 °.
Fig. 2 is a comparison diagram of experimental waveforms before and after the post-stage ISOP-DAB carrier phase shift of the novel electric vehicle charging device provided by the invention, and it can be seen from the diagram that before and after the carrier phase shift, three resonant dual-active bridges all work in a zero-current switching mode, the line current waveform THD is within 3%, and the quality of the network-side waveform is high; after carrier phase shifting, the amplitude of the direct current voltage ripple is greatly reduced from 12.5V to 2.5V.
Fig. 3 is an experimental waveform diagram of the novel electric vehicle charging device provided by the invention when the load suddenly changes, and it can be seen from the diagram that when the system experiences the sudden change of the load, the response speed of the system is very fast, the adjustment can be completed only by one cycle, and the ripple amplitude of the output direct-current voltage is only 5V.
To sum up: the novel electric vehicle charging device based on the current source has the functions of electrical isolation and output voltage control, is very simple in topological structure and control, is good in reliability, is greatly reduced in size, weight and cost compared with the conventional electric vehicle charging device, and is worthy of popularization.
The present invention is not limited to the above-described embodiments. The foregoing description of the specific embodiments is intended to describe and illustrate the technical solutions of the present invention, and the above specific embodiments are merely illustrative and not restrictive. Those skilled in the art can make many changes and modifications to the invention without departing from the spirit and scope of the invention as defined in the appended claims.

Claims (4)

1. A high-power electric vehicle charging device based on a current source is characterized in that a topological structure of the device is divided into a front stage and a rear stage, the front stage is a current source type rectifier (CSR), the rear stage is a resonant double-active bridge (ISOP-DAB) with input, series and output connected in parallel, the CSR comprises six gate pole converter thyristors to form a three-phase full bridge, an alternating current side of the three-phase full bridge is connected to a point of common coupling PCC through a CL filter and then exchanges power with a three-phase power grid, and a direct current side of the three-phase full bridge is connected with a direct current smoothing inductor in series and then is connected with; the ISOP-DAB is characterized in that three resonant double-active bridges are connected in series at one end to serve as a rear-stage high-voltage input side, the other end of each resonant double-active bridge is connected in parallel to serve as a rear-stage low-voltage output side, the rear-stage high-voltage input side is connected with a direct-current side of a front-stage CSR, and the rear-stage low-voltage output sides are connected in parallel and then connected with a load through a direct-current; the resonant double-active bridge is composed of two H-bridges and a high-frequency isolation transformer, wherein the H-bridge is a single-phase full-bridge structure composed of four Insulated Gate Bipolar Transistors (IGBT), a direct-current filter capacitor is connected to the H-bridge at the rear high-voltage input side at the direct-current side, and the alternating-current side is connected with the primary side of the high-frequency isolation transformer through a first resonant capacitor and forms a resonant loop with the leakage inductance of the high-frequency isolation transformer; the secondary side of the high-frequency isolation transformer is connected with the alternating current side of the H bridge at the rear-stage low-voltage output side through a second resonant capacitor, and a resonant circuit is formed in the same way; the direct current side of the H bridge at the low-voltage output side of the rear stage is directly connected in parallel with the direct current sides of the H bridges at the low-voltage output sides of other resonant type double-active bridges.
2. A control method of a high-power electric vehicle charging device is based on the high-power electric vehicle charging device in claim 1, and is characterized in that a CSR directly controls a direct-current voltage at a low-voltage side output side of a post-stage ISOP-DAB, and the ISOP-DAB uses a square wave control based on carrier phase shift to reduce ripples of an output voltage, and the method comprises the following specific steps:
(1) at the beginning of each sampling period, the three-phase voltage V of the power grid is acquired by using a sampling circuitPCCAnd ISOP-DAB low-voltage side output direct-current voltage Vdc(ii) a Three-phase network voltage VPCCGenerating a real-time phase theta of a grid voltage via a phase locked loop PLLg
(2) The DC voltage V is collecteddcAnd a DC voltage reference Vdc_refSubtracting the difference to obtain a feedback quantity, and obtaining a modulation ratio m required by CSR through a Proportional Integral (PI) controllera
(3) Using the resulting modulation ratio maObtaining the switching angle theta required by the modulation ratio variable specific harmonic elimination modulation1~θ10
(4) Real-time phase theta of the obtained power grid voltagegAnd a switching angle theta1~θ10PWM modulation of input CSR to generate corresponding gate control signal G1~G6The control circuit is used for controlling the turn-on and turn-off of the front-stage CSR gate commutated thyristor;
(5) and the later-stage ISOP-DAB adopts square wave voltage control based on carrier phase shift.
3. The control method of the charging device of the high-power electric vehicle according to claim 2, wherein the generation of the modulation ratio variable specific harmonic elimination modulation switching angle in the step (3) comprises the following steps:
(301) using a variable specific harmonic cancellation modulation of 9 pulse modulation ratios, theta1~θ4Is a free angle, θ6~θ10By theta1~θ4And bypass pulse width θ0Can pass through the free angle theta1~θ4Obtained by the following formula:
Figure FDA0002263111920000021
(302) the modulation ratio m obtained in the step (2) isaSubstituting the formula (1-1) into the following formula, and obtaining the switching angle theta by iterative solution1~θ10
Figure FDA0002263111920000022
Wherein, thetakI.e. for theta1~θ10K is 1 to 10.
4. The control method of the charging device of the high-power electric vehicle as claimed in claim 2, wherein the square wave voltage control based on the carrier phase shift in the step (5) comprises the following steps:
(501) determining the frequency f of the square wave control signal according to the first resonance capacitor and the leakage inductance of the high-frequency isolation transformersw
Figure FDA0002263111920000023
Wherein the capacitance value of the first resonant capacitor is Cr1Leakage inductance of high frequency isolation transformer is Lr1
(502) H bridges at the input end and the output end of each resonant double-active bridge of ISOP-DAB use completely same square wave control signals with the duty ratio of 0.5;
(503) the square wave control signals of the two IGBTs of the upper bridge arm of each H bridge are the same, the square wave control signals of the two IGBTs of the lower bridge arm are the same, but the phase difference between the square wave control signals of the upper bridge arm and the square wave control signals of the lower bridge arm is 180 degrees, and a dead zone exists;
(504) the square wave control signals between the three resonant dual-active bridges differ in phase by 120 °.
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