CN108054940B - Capacitor series automatic voltage-sharing circuit and control circuit thereof - Google Patents

Capacitor series automatic voltage-sharing circuit and control circuit thereof Download PDF

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Publication number
CN108054940B
CN108054940B CN201711363883.2A CN201711363883A CN108054940B CN 108054940 B CN108054940 B CN 108054940B CN 201711363883 A CN201711363883 A CN 201711363883A CN 108054940 B CN108054940 B CN 108054940B
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voltage
resistor
circuit
sharing
filter capacitor
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CN108054940A (en
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蔡子琨
袁乐
杨喜军
唐厚君
李新颜
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Shanghai Jiaotong University
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Shanghai Jiaotong University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02MAPPARATUS 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
    • H02M7/00Conversion of ac power input into dc power output; Conversion of dc power input into ac power output
    • H02M7/42Conversion of dc power input into ac power output without possibility of reversal
    • H02M7/44Conversion of dc power input into ac power output without possibility of reversal by static converters
    • H02M7/48Conversion 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

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  • Power Engineering (AREA)
  • Inverter Devices (AREA)

Abstract

The invention provides a capacitor series automatic voltage-sharing circuit and a control circuit thereof, comprising a power circuit, wherein the power circuit comprises a voltage-sharing circuit and an inverter circuit; the control circuit is used for detecting and equalizing the voltage of the filter capacitor end in the power circuit, inputting the detected voltage into a peripheral circuit for processing, feeding a comparison signal obtained by processing back to a feedback input end of a control chip in the analog circuit, outputting a driving signal after the control chip processes signals of various input ports to drive the on-off state of a power device in the power circuit, and realizing automatic voltage equalization of the filter capacitor in the power circuit through the energy transmission of a primary side and a secondary side of the voltage equalizing circuit. The invention can realize automatic voltage-sharing of the filter capacitors when the power circuit adopts a plurality of filter capacitors connected in series, has the characteristics of simple control, quick response and good voltage-sharing effect, and can be applied to practical applications such as half-bridge inverter type plasma cutting machines.

Description

Capacitor series automatic voltage-sharing circuit and control circuit thereof
Technical Field
The invention relates to a voltage equalizing circuit and a control circuit thereof in the technical field of power electronic conversion, in particular to a capacitor series automatic voltage equalizing circuit and a control circuit thereof.
Background
In the current application occasions of medium and low power, the half-bridge circuit has the advantages of simple structure, easy control, improved voltage withstanding effect due to the fact that capacitors are connected in series on the direct current side, and the like, so that the half-bridge circuit is widely applied.
The hidden danger of capacitor non-voltage-sharing is not negligible, if the voltage-sharing effect is not good, the problems of capacitor overvoltage breakdown, control signal deviation, output waveform distortion and the like can be caused, and even the system is out of control. Therefore, the problem of capacitor voltage sharing is highly regarded, and proper voltage sharing measures must be adopted to avoid the situation that the capacitors are not shared.
From a search of the prior art for capacitor series voltage sharing, it was found that Lin b.r.hung t.l.single-phase-bridge converter topology for Power performance compensation. ie proceedings electric Power Applications, 2002, 149 (5): 351-359, it is proposed to add components in the power circuit to solve the voltage deviation problem of the DC voltage-dividing capacitor. However, the method increases the volume and weight of the converter, increases the cost, cannot fundamentally ensure the voltage balance of the series capacitor, and has undesirable practical effect.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide a capacitor series automatic voltage-sharing circuit and a control circuit thereof, which realize that a plurality of filter capacitors in a power circuit always keep voltage balance and have the advantages of simple and convenient control, quick response and good voltage-sharing effect.
According to a first object of the present invention, there is provided a capacitor series automatic voltage equalizing circuit, the circuit comprising a power circuit including a voltage equalizing transformer and an inverter circuit, wherein:
the voltage-sharing circuit is provided with a voltage-sharing transformer Tr1, and the secondary side of the voltage-sharing transformer Tr1 is provided with first to third secondary side windings N12, N11 and N13 and second to fourth diodes D2, D3 and D4;
the inverter circuit is composed of a capacitor bridge arm, a resistor bridge arm, an IGBT bridge arm, a first inverter transformer Tr2 and a second inverter transformer Tr3, wherein: the capacitor bridge arm is formed by sequentially connecting second to fourth filter capacitors C2, C3 and C4 in series and is responsible for providing balanced three paths of direct current voltage; the resistance bridge arm is responsible for carrying out static voltage sharing on the capacitance bridge arm; the IGBT bridge arm is responsible for DC-AC inversion, and three paths of direct current voltages of the resistance bridge arm after static voltage sharing are inverted into current detection voltages; the first inverter transformer Tr2 and the second inverter transformer Tr3 are connected with a capacitor bridge arm and an IGBT bridge arm to play an isolation role, and meanwhile, electric energy is transmitted through electromagnetic induction;
when the energy of the primary side and the secondary side of the voltage-sharing transformer Tr1 is transmitted, the second secondary winding N11 is connected to two ends of a third filter capacitor C3 through a third diode D3; the first secondary winding N12 is connected to two ends of the second filter capacitor C2 through a second diode D2; the third secondary winding N13 is connected to both ends of the fourth smoothing capacitor C4 through a third diode D4, and equalizes voltage of the second to fourth smoothing capacitors C2, C3, and C4.
Preferably, the voltage equalizing circuit further comprises a first power MOSFET S1, a first filter capacitor C1, a first resistor R1, a twenty-third resistor R23, and a first diode D1, wherein:
one end of a first resistor R1 is connected with one end of a first filter capacitor C1, the same-name end of a primary winding of a voltage-sharing transformer Tr1 and a direct-current positive electrode, and the other end of the first resistor R1 is connected with the other end of the first filter capacitor C1 and the cathode of a first diode D1;
the anode of the first diode D1 is connected with the non-dotted terminal of the voltage-sharing transformer Tr1 and the drain of the first power MOSFET S1, the drain of the first power MOSFET S1 is connected with one end of the twenty-third resistor, and the other end of the twenty-third resistor is connected with the DC negative electrode;
the dotted terminal of a first secondary winding N12 of the voltage-sharing transformer Tr1 is connected with the anode and the direct-current anode of a second filter capacitor C2 through a second diode D2, and the non-dotted terminal of the voltage-sharing transformer Tr1 is connected with the cathode of the second filter capacitor C2;
the dotted terminal of a second secondary winding N11 of the voltage-sharing transformer Tr1 is connected with the anode of a third filter capacitor C3 through a third diode D3, and the non-dotted terminal of the voltage-sharing transformer Tr1 is connected with the cathode of the third filter capacitor C3;
the dotted terminal of the third secondary winding N13 of the voltage-sharing transformer Tr1 is connected to the positive electrode of the fourth filter capacitor C4 through the fourth diode D4, and the non-dotted terminal thereof is connected to the negative electrode of the second filter capacitor C2.
More preferably, the first to third secondary windings N12, N11 and N13 of the equalizer transformer Tr1 have the same number of turns, which is one third of the number of turns of the primary winding P1.
Preferably, the capacitor bridge arm is formed by sequentially connecting a second filter capacitor C2-a fourth filter capacitor C4 in series;
the resistance bridge arm is formed by sequentially connecting a second voltage-sharing resistor R2-a fourth voltage-sharing resistor R4 in series;
the IGBT bridge arm is formed by sequentially connecting a second IGBT S2-a fourth IGBT S4;
wherein:
the direct current positive electrode is connected with the positive electrode of the second filter capacitor C2, one end of the second voltage-sharing resistor R2 and the drain electrode of the second IGBT S2;
the direct current cathode is connected with the cathode of a fourth filter capacitor C4, one end of a fourth voltage-sharing resistor R4 and the source of a fourth IGBT S4;
the negative electrode of the second filter capacitor C2 is connected with the positive electrode of the third filter capacitor C3, the other end of the second equalizing resistor R2, one end of the third equalizing resistor R3 and the non-homonymous end of the primary winding of the first inverter transformer Tr 2;
the negative electrode of the third filter capacitor C3 is connected with the positive electrode of the fourth filter capacitor C4, the other end of the third equalizing resistor R3, the other end of the fourth equalizing resistor R4 and the non-homonymous end of the primary winding of the second inverter transformer Tr 3;
the source electrode of the second IGBT S2 is connected with the drain electrode of the third IGBT S3 and the dotted terminal of the primary winding of the first inverter transformer Tr 2;
the source electrode of the third IGBT S3 is connected with the drain electrode of the fourth IGBT S4 and the dotted terminal of the primary winding of the second inverter transformer Tr 3;
the output positive electrode is connected with the homonymous end of a secondary winding of the first inverter transformer Tr 2; the output negative electrode is connected with the non-dotted terminal of the secondary winding of the second inverter transformer Tr 3; the non-dotted terminal of the secondary winding of the first inverter transformer Tr2 is connected to the dotted terminal of the secondary winding of the second inverter transformer Tr 3.
More preferably, one or more of the following features:
the capacitance values of the second filter capacitor C2 to the fourth filter capacitor C4 are the same;
the first voltage equalizing resistor R2 to the fourth voltage equalizing resistor R4 have the same resistance value.
According to a second object of the present invention, there is provided a control circuit of a capacitor series automatic voltage equalizing circuit, the control circuit including a voltage measuring circuit, a peripheral circuit, and an analog circuit, wherein:
the voltage measuring circuit is used for detecting the voltage at the direct current side, obtaining a voltage signal under the action of seventh to eighth voltage dividing resistors R7 and R8, detecting the voltage at the end of a fourth filter capacitor C4 in the power circuit, obtaining another voltage signal under the action of fifth to sixth voltage dividing resistors R5 and R6, and taking the two voltage signals as the input of a peripheral circuit;
the peripheral circuit is used for comparing the two voltage signals obtained by the voltage measuring circuit and feeding the processed signals back to a feedback input port of a control chip in the analog circuit;
and the control chip is used for processing each signal from the analog circuit to obtain a driving pulse signal and controlling the on-off state of a power device in the power circuit.
Preferably, the voltage measuring circuit comprises fifth to eighth voltage dividing resistors R5 to R8, and the fifth voltage dividing resistor R5 and the sixth voltage dividing resistor R6 are connected in series and then connected in parallel to two ends of a fourth filter capacitor C4 in the power circuit; the seventh voltage-dividing resistor R7 and the eighth voltage-dividing resistor R8 are connected in series and then connected between the direct current positive electrode and the direct current negative electrode.
Preferably, the fifth to eighth voltage dividing resistors R5 to R8 have R6/(R5+R6)=3R8/(R7+R8) The parameters in the formula are resistance values of the corresponding resistors.
Preferably, the peripheral circuit includes ninth to nineteenth resistors R9 to R19 and first to third operational amplifiers U1 to U3, wherein:
one end of the ninth resistor R9 is connected with the first detection voltage U1, and the other end is connected with the inverting input end of the first operational amplifier U1; one end of the tenth resistor R10 is connected with the second detection voltage U2, and the other end is connected with the positive input end of the first operational amplifier U1; one end of the eleventh resistor R11 is connected with the positive input end of the first operational amplifier U1, and the other end is grounded; one end of the twelfth resistor R12 is connected with the second detection voltage U2, and the other end is connected with the reverse input end of the second operational amplifier U2;
one end of the thirteenth resistor R13 is connected with the first detection voltage U1, and the other end is connected with the positive input end of the second operational amplifier U2; one end of the fourteenth resistor R14 is connected with the positive input end of the second operational amplifier U2, and the other end is grounded; one end of the fifteenth resistor R15 is connected with the output end of the first operational amplifier U1, and the other end is connected with the inverting input end of the third operational amplifier U3;
one end of a sixteenth resistor R16 is connected with the output end of the second operational amplifier U2, and the other end of the sixteenth resistor R16 is connected with the positive input end of the third operational amplifier U3; one end of a seventeenth resistor R17 is connected with the positive input end of the third operational amplifier U3, and the other end is grounded; one end of an eighteenth resistor R18 is connected with the reverse input end of the third operational amplifier U3, and the other end is grounded; one end of the nineteenth resistor R19 is connected to the inverting input terminal of the third operational amplifier U3, and the other end of the nineteenth resistor R19 is connected to the third pin FB of the feedback input terminal of the control chip after being connected to the output terminal of the third operational amplifier U3.
Preferably, the analog circuit includes a control chip, a first transient suppression diode TVS1, and twentieth to twenty-seventh resistors R20 to R27, wherein:
a first pin VDD of the control chip is connected with a +15V working power supply, one end of a twentieth resistor R20 is connected with the +15V working power supply, and the other end of the twentieth resistor R20 is connected with one end of a second pin VS of a voltage detection input end of the control chip and one end of a twenty-first resistor R21; the other end of the twenty-first resistor R21 is grounded; one end of a twenty-second resistor R22 is connected with a sixth pin DRV of the driving output port of the control chip, and the other end of the twenty-second resistor R22 is connected with the grid electrode of a first power MOSFET S1 in the power circuit; one end of a twenty-third resistor R23 is connected with the source electrode of a first power MOSFET S1 in the power circuit and a fifth pin CS of the control chip, and the other end is grounded; one end of a twenty-fourth resistor R24 is connected with the anode of the first transient suppression diode TVS1 and the eighth pin HV of the high-voltage input port of the control chip, and the other end of the twenty-fourth resistor R24 is connected with twenty-fifth resistor R25 to twenty-seventh resistor R27 in series in sequence and then grounded; a twenty-fifth resistor R25, a twenty-sixth resistor R26 and a twenty-seventh resistor R27 are sequentially connected in series end to end; a bias power supply input port VDD of the control chip is connected with a +15V working power supply, and a fourth pin GND of the grounding input port is connected with a ground end.
Compared with the prior art, the invention has the following beneficial effects:
the voltage-sharing circuit can play an automatic voltage-sharing effect on the series connection of a plurality of filter capacitors, and has a good voltage-sharing effect.
The control circuit of the invention adopts the control chip as the drive control of the MOSFET of the power device, processes the detected voltage of the filter capacitor through the peripheral circuit to obtain a control signal, and inputs the control signal into the control chip, thereby controlling the on-off state of the power device and switching on or off, enabling the voltage-sharing transformer to automatically work and realizing voltage-sharing control for the filter capacitor. Specifically, the number of turns of the secondary winding of the voltage-sharing transformer is one third of the number of turns of the primary winding, when the power device MOSFET is switched on, the filter capacitors connected in series simultaneously supply power to the primary winding of the voltage-sharing transformer, and the primary winding of the voltage-sharing transformer is in a discharge state, the filter capacitors with high terminal voltage discharge more, the filter capacitors with low terminal voltage discharge less, and the primary side of the voltage-sharing transformer stores the voltage-sharing capacitor. When the MOSFET of the power device is turned off, the secondary side of the voltage-sharing transformer charges the filter capacitor with low voltage at the rear stage, and the filter capacitor with high voltage at the rear stage cannot be charged. Through the continuous on-off work of the power device MOSFET, the terminal voltages of the series filter capacitors tend to be consistent. As long as voltage deviation exists in the two detection voltages, the control chip can control the power device to work. As long as the power device works, the voltage of each filter capacitor can be automatically equalized.
Drawings
Other features, objects and advantages of the invention will become more apparent upon reading of the detailed description of non-limiting embodiments with reference to the following drawings:
FIG. 1 is a diagram of an automatic voltage equalizer and a control circuit thereof according to an embodiment of the present invention;
in the figure: the power circuit 1, the voltage-sharing circuit 11 and the inverter circuit 12; a control circuit 2, a voltage measuring circuit 21, an analog circuit 22 and a peripheral circuit 23.
Detailed Description
The present invention will be described in detail with reference to specific examples. The following examples will assist those skilled in the art in further understanding the invention, but are not intended to limit the invention in any way. It should be noted that variations and modifications can be made by persons skilled in the art without departing from the spirit of the invention. All falling within the scope of the present invention.
As shown in fig. 1, an automatic voltage-equalizing circuit with capacitors connected in series comprises a power circuit 1; the power circuit 1 includes a voltage-sharing circuit 11 and an inverter circuit 12, wherein:
the secondary side of a voltage-sharing transformer Tr1 in the voltage-sharing circuit 1 is provided with three secondary side windings N11, N12 and N13 and three diodes D2, D3 and D4;
the inverter circuit 2 is composed of a capacitor bridge arm (C2, C3, C4), a resistor bridge arm (R2, R3, R4), an IGBT bridge arm (S2, S3, S4), a first inverter transformer Tr2 and a second inverter transformer Tr3, wherein: the capacitor bridge arm is formed by three series branches of electrolytic capacitors C2, C3 and C4 and is responsible for providing three paths of balanced direct-current voltages; the resistance bridge arm is responsible for carrying out static voltage sharing on the capacitance bridge arm; the IGBT bridge arm is responsible for DC-AC inversion; the first inverter transformer Tr2 and the second inverter transformer Tr3 have isolation function, and the secondary side is connected in series and then connected with any type of rectifier.
Furthermore, the capacitor bridge arm is composed of filter capacitors C2, C3 and C4, which are connected in series in sequence, that is, the anode of the filter capacitor C2 is connected with the dc positive electrode DCP, the cathode of the filter capacitor C3 is connected with the anode of the filter capacitor C3, the cathode of the filter capacitor C3 is connected with the anode of the filter capacitor C4, the cathode of the filter capacitor C4 is connected with the dc negative electrode DCN, the capacitor bridge arm is used for generating three paths of voltage-sharing dc voltages, and providing a dc power supply for an inverter circuit composed of rear-stage power devices IGBT S2, S3 and S4 and inverter transformers Tr2 and Tr 3;
furthermore, the resistance bridge arm is composed of R2, R3 and R4 components, which are connected in series in sequence, that is, one end of a resistor R2 is connected with the dc positive electrode DCP, the other end of the resistor R2 is connected with one end of a resistor R3, the other end of a resistor R3 is connected with one end of a resistor R4, the other end of a resistor R4 is connected with the dc negative electrode DCN, and structurally, the resistor R2 is connected in parallel with a capacitor C2, the resistor R3 is connected in parallel with a capacitor C3, the resistor R4 is connected in parallel with a capacitor C4, and the resistance bridge arm is used for static voltage-sharing of filter capacitors C2, C3 and C4;
furthermore, the IGBT bridge arm is composed of power devices IGBT S2, S3, and S4, which are connected in series in sequence, that is, the collector of the IGBT S2 is connected to the dc positive electrode DCP, the emitter of the IGBT S3 is connected to the collector of the IGBT S3, the emitter of the IGBT S3 is connected to the collector of the IGBT S4, the emitter of the IGBT S4 is connected to the dc negative electrode DCN, and the IGBT bridge arm inverts the three paths of dc voltages of the voltage-equalized filtering capacitors C2, C3, and C4 into a current detection voltage, so that the inverter transformers Tr2 and Tr3 transmit electric energy through electromagnetic induction.
Furthermore, when the primary side P1 of the first voltage-sharing transformer Tr1 and the secondary side windings N12, N11 and N13 are in energy transmission, the three secondary side windings N12, N11 and N13 are respectively connected to two ends of the filter capacitors C2, C3 and C4 of the capacitor bridge arms through diodes D2, D3 and D4, so as to share the voltage of the filter capacitors C2, C3 and C4.
The voltage-sharing circuit comprises a first power MOSFET S1, a first filter capacitor C1, a first resistor R1, a twenty-third resistor R23, first to fourth diodes D1 to D4 and a voltage-sharing transformer Tr1, and comprises a primary winding P1 and three secondary windings N12, N11 and N13, wherein:
one end of a first resistor R1 is connected with one end of a first filter capacitor C1, the dotted end of a primary winding of a voltage-sharing transformer Tr1 and a direct current positive electrode DCP, and the other end of a first resistor R1 is connected with the other end of the first filter capacitor C1 and the cathode of a first diode D1;
the anode of the first diode D1 is connected with the non-dotted terminal of the voltage-sharing transformer Tr1 and the drain of the first power MOSFET S1, the drain of the first power MOSFET S1 is connected with one end of a twenty-third resistor R23, and the other end of the twenty-third resistor R23 is connected with a direct-current negative electrode DCN;
the dotted terminal of a first secondary winding N12 of the voltage-sharing transformer Tr1 is connected with the anode of a second filter capacitor C2 and the direct-current anode DCP through a second diode D2, and the non-dotted terminal of the voltage-sharing transformer Tr1 is connected with the cathode of the second filter capacitor C2;
the dotted terminal of a second secondary winding N11 of the voltage-sharing transformer Tr1 is connected with the anode of a third filter capacitor C3 through a third diode D3, and the non-dotted terminal of the voltage-sharing transformer Tr1 is connected with the cathode of the third filter capacitor C3;
the dotted terminal of the third secondary winding N13 of the voltage-sharing transformer Tr1 is connected to the positive electrode of the fourth filter capacitor C4 through the fourth diode D4, and the non-dotted terminal thereof is connected to the negative electrode of the second filter capacitor C2.
The numbers of turns of the secondary windings N11-N13 of the voltage-sharing transformer Tr1 are the same and are one third of the number of turns of the primary winding P1.
The inverter circuit comprises a second filter capacitor C2-a fourth filter capacitor C4, a second equalizing resistor R2-a fourth equalizing resistor R4, a primary winding and a secondary winding of a first inverter transformer Tr2 and a primary winding and a secondary winding of a second inverter transformer Tr3, wherein:
the direct current positive electrode DCP is connected with the positive electrode of a second filter capacitor C2, one end of a second equalizing resistor R2 and the drain electrode of a second IGBT S2;
the direct current cathode DCN is connected with the cathode of the fourth filter capacitor C4, one end of the fourth voltage-sharing resistor R4 and the source of the fourth IGBT S4;
the negative electrode of the second filter capacitor C2 is connected with the positive electrode of the third filter capacitor C3, the other end of the second equalizing resistor R2, one end of the third equalizing resistor R3 and the non-homonymous end of the primary winding of the first inverter transformer Tr 2;
the negative electrode of the third filter capacitor C3 is connected with the positive electrode of the fourth filter capacitor C4, the other end of the third equalizing resistor R3, the other end of the fourth equalizing resistor R4 and the non-homonymous end of the primary winding of the second inverter transformer Tr 3;
the source electrode of the second IGBT S2 is connected with the drain electrode of the third IGBT and the dotted terminal of the primary winding of the first inverter transformer Tr 2;
the source electrode of the third IGBT S3 is connected with the drain electrode of the fourth IGBT S4 and the dotted terminal of the primary winding of the second inverter transformer Tr 3;
the output anode DCP is connected with the homonymous end of a secondary winding of a first inverter transformer Tr 2; the output negative electrode DCN is connected with the non-dotted terminal of the secondary winding of the second inverter transformer Tr 3; the non-dotted terminal of the secondary winding of the first inverter transformer Tr2 is connected to the dotted terminal of the secondary winding of the second inverter transformer Tr 3.
In another embodiment, the control circuit of the capacitor series automatic voltage equalizing circuit, the control circuit 2 includes a voltage measuring circuit 21, an analog circuit 22, and a peripheral circuit 23, where:
the voltage measuring circuit 21 is used for detecting the voltage at the direct current side, and obtaining a voltage signal under the action of voltage dividing resistors R7 and R8; the voltage at the end of a filter capacitor C4 in the power circuit is detected, and another voltage signal is obtained through the action of voltage dividing resistors (R5 and R6); these two voltage signals serve as inputs to peripheral circuit 23;
the peripheral circuit 23 is configured to compare two voltage signals obtained by the voltage measuring circuit, and feed back the processed signals to a feedback input port FB of a control chip in the analog circuit 22;
the control chip in the analog circuit 22 is configured to detect signals of each input port (VDD, VS, FB, GND, CS, DRV, HV), obtain a driving pulse signal after processing, and control a switching state of a power device S1 in the power circuit 1.
In the control circuit of the capacitor series automatic voltage-sharing circuit, the voltage-measuring circuit 21 comprises fifth to eighth voltage-dividing resistors R5 to R8, and the fifth voltage-dividing resistor R5 and the sixth voltage-dividing resistor R6 are connected in series and then connected in parallel to two ends of a fourth filter capacitor C4 in the power circuit; the seventh voltage-dividing resistor R7 and the eighth voltage-dividing resistor R8 are connected in series and then connected between the dc positive electrode DCP and the dc negative electrode DCN.
In the control circuit of the capacitor series automatic voltage-equalizing circuit, R is arranged in the fifth voltage-dividing resistor R5-the eighth voltage-dividing resistor R86/(R5+R6)=3R8/(R7+R8) The parameters in the formula are resistance values of the corresponding resistors.
In the control circuit of the capacitor series automatic voltage-sharing circuit, the peripheral circuit 23 includes ninth to nineteenth resistors R9 to R19 and first to third operational amplifiers U1 to U3, wherein:
one end of the ninth resistor R9 is connected with the first detection voltage U1, and the other end is connected with the inverting input end of the first operational amplifier U1; one end of the tenth resistor R10 is connected with the second detection voltage U2, and the other end is connected with the positive input end of the first operational amplifier U1; one end of the eleventh resistor R11 is connected with the positive input end of the first operational amplifier U1, and the other end is grounded; one end of the twelfth resistor R12 is connected with the second detection voltage U2, and the other end is connected with the reverse input end of the second operational amplifier U2;
one end of the thirteenth resistor R13 is connected with the first detection voltage U1, and the other end is connected with the positive input end of the second operational amplifier U2; one end of the fourteenth resistor R14 is connected with the positive input end of the second operational amplifier U2, and the other end is grounded; one end of the fifteenth resistor R15 is connected with the output end of the first operational amplifier U1, and the other end is connected with the inverting input end of the third operational amplifier U3;
one end of a sixteenth resistor R16 is connected with the output end of the second operational amplifier U2, and the other end of the sixteenth resistor R16 is connected with the positive input end of the third operational amplifier U3; one end of a seventeenth resistor R17 is connected with the positive input end of the third operational amplifier U3, and the other end is grounded; one end of an eighteenth resistor R18 is connected with the reverse input end of the third operational amplifier U3, and the other end is grounded; one end of the nineteenth resistor R19 is connected to the inverting input terminal of the third operational amplifier U3, and the other end of the nineteenth resistor R19 is connected to the third pin FB of the feedback input terminal of the control chip after being connected to the output terminal of the third operational amplifier U3.
In the control circuit of the capacitor series automatic voltage-sharing circuit, the analog circuit 22 includes a control chip 22, a first transient suppression diode TVS1, and twentieth to twenty-seventh resistors R20 to R27, wherein:
a first pin VDD of the control chip 22 is connected with a +15V working power supply, one end of a twentieth resistor R20 is connected with the +15V working power supply, and the other end of the twentieth resistor R20 is connected with one end of a second pin VS of a voltage detection input end of the control chip and one end of a twenty-first resistor R21; the other end of the twenty-first resistor R21 is grounded; one end of a twenty-second resistor R22 is connected with a sixth pin DRV of the driving output port of the control chip, and the other end of the twenty-second resistor R22 is connected with the grid electrode of a first power MOSFET S1 in the power circuit; one end of a twenty-third resistor R23 is connected with the source electrode of a first power MOSFET S1 in the power circuit and a fifth pin CS of the control chip, and the other end is grounded; one end of a twenty-fourth resistor R24 is connected with the anode of the first transient suppression diode TVS1 and the eighth pin HV of the high-voltage input port of the control chip, and the other end of the twenty-fourth resistor R24 is connected with twenty-fifth resistor R25 to twenty-seventh resistor R27 in series in sequence and then grounded; a twenty-fifth resistor R25, a twenty-sixth resistor R26 and a twenty-seventh resistor R27 are sequentially connected in series end to end; a bias power supply input port VDD of the control chip is connected with a +15V working power supply, and a fourth pin GND of the grounding input port is connected with a ground end.
Further, in some preferred embodiments, as shown in fig. 1, the voltage measuring circuit includes fifth to eighth voltage dividing resistors R5 to R8; the fifth voltage-dividing resistor R5 and the sixth voltage-dividing resistor R6 are connected in series and then connected in parallel at two ends of a fourth filter capacitor C4 in the power circuit; the seventh voltage-dividing resistor R7 and the eighth voltage-dividing resistor R8 are connected in series and then connected between the direct current positive electrode and the negative electrode.
The peripheral circuit comprises ninth resistors R9-nineteenth resistors R19 and first operational amplifiers U1-third operational amplifiers U3, wherein: one end of the ninth resistor R9 is connected with the first detection voltage, and the other end is connected with the reverse input end of the first operational amplifier U1; one end of the tenth resistor R10 is connected with the second detection voltage, and the other end of the tenth resistor R10 is connected with the positive input end of the first operational amplifier U1; one end of the eleventh resistor R11 is connected with the positive input end of the first operational amplifier U1, and the other end is grounded; one end of the twelfth resistor R12 is connected with the second detection voltage, and the other end of the twelfth resistor R12 is connected with the reverse input end of the second operational amplifier U2; one end of the thirteenth resistor R13 is connected with the first detection voltage, and the other end of the thirteenth resistor R13 is connected with the positive input end of the second operational amplifier U2; one end of the fourteenth resistor R14 is connected with the positive input end of the second operational amplifier U2, and the other end is grounded; one end of the fifteenth resistor R15 is connected with the output end of the first operational amplifier U1, and the other end is connected with the inverting input end of the third operational amplifier U3; one end of a sixteenth resistor R16 is connected with the output end of the second operational amplifier U2, and the other end of the sixteenth resistor R16 is connected with the positive input end of the third operational amplifier U3; one end of a seventeenth resistor R17 is connected with the positive input end of the third operational amplifier U3, and the other end is grounded; one end of an eighteenth resistor R18 is connected with the reverse input end of the third operational amplifier U3, and the other end is grounded; the nineteenth resistor R19 has one end connected to the inverting input terminal of the third operational amplifier U3 and the other end connected to the output terminal of the third operational amplifier U3.
The analog circuit comprises a control chip, a first transient suppression diode TVS1, a twentieth resistor R20-a twenty-seventh resistor R27, wherein: one end of the twentieth resistor R20 is connected with the anode of the external power supply, and the other end of the twentieth resistor R20 is connected with the voltage detection input end VS of the control chip; one end of the twenty-first resistor R21 is connected with the voltage detection input end VS of the control chip, and the other end is grounded; one end of the twenty-second resistor R22 is connected with the driving output port DRV of the control chip, and the other end is connected with the grid electrode of the first power MOSFET S1 in the power circuit; one end of a twenty-third resistor R23 is connected with the source electrode of a first power MOSFET S1 in the power circuit, and the other end is grounded; one end of a twenty-fourth resistor R24 is connected with the anode of the first transient suppression diode TVS1 and the high-voltage input port HV of the control chip, and the other end of the twenty-fourth resistor R24 is connected with twenty-fifth to twenty-seventh resistors R25 to R27 in series and then grounded; a twenty-fifth resistor R25, a twenty-sixth resistor R26 and a twenty-seventh resistor R27 are sequentially connected in series end to end; a bias power supply input port VDD of the control chip is connected with the anode of an external power supply, and a ground input port GND is connected with a ground end.
In the above embodiment of the invention, the capacitance values of the three filter capacitors C2-C4 of the inverter circuit in the power circuit are the same, the resistances of the first to fourth equalizing resistors R2-R4 are the same, and the turns of the secondary windings N11-N13 of the equalizing transformer Tr1 are the same and are one third times of the turns of the primary winding P1. The fifth voltage dividing resistor R5-the eighth voltage dividing resistor R8 have R6/(R5+R6)=3R8/(R7+R8) The relationship (2) of (c).
In order to more clearly illustrate the implementation principle of the above-mentioned embodiment of the present invention, the present invention is further explained by using the uneven voltage condition of the fourth filter capacitor C4. In the following description, the UCC28740 is used as a control chip, and specific reference is made to connection shown in fig. 1.
When the power circuit normally works, the terminal voltages of three filter capacitors C2-C4 in the power circuit are equal and ui/3, sampling the voltage u1Value of and sampling voltage u2The values of the voltage and the current of the voltage-sharing transformer Tr1 are equal, the output of the peripheral circuit is zero, the control chip UCC28740 does not have a feedback input signal, the output port DRV does not have a signal output, the first power MOSFET S1 does not have a driving signal and is in an off state, and the voltage-sharing transformer Tr1 does not work. When the terminal voltage u of the fourth filter capacitor C4 is caused by capacitance or leakage resistanceC4Less than uiThe terminal voltages of the second filter capacitor C2 and the third filter capacitor C3C3 are all larger than uiAt/3, the voltage u is sampled1Is less than the sampling voltage u2The difference signal of the sampling voltage is processed by the peripheral circuit to make the third operational amplifier U3 output a comparison signal to the feedback input terminal of the control chip UCC28740A mouth FB; the anode of the 15V external power supply is connected with the bias power supply input end VDD of the control chip UCC28740, and a voltage signal is obtained through a voltage dividing resistor R21 and input to the voltage detection input end VS of the control chip UCC28740 to be used as overvoltage detection; positive DC voltage u1The voltage regulator TVS1 is connected with a high-voltage input port HV of a control chip UCC28740 to charge a capacitor in VDD; the current sense port CS of the control chip UCC28740 senses in real time the current flowing through the ground reference resistor R23 in series with the first power MOSFET S1. The ground port GND is reliably grounded. The control chip UCC28740 processes signals of each input port, so that the output port DRV outputs a pulse driving signal to control the conduction of the first power MOSFET S1, the circuit of the voltage-sharing transformer Tr1 starts to work, and the voltage of the third secondary winding N13 is u as known from the turn ratio relation of the primary side and the secondary side of the voltage-sharing transformer Tr1i3, thereby turning on the fourth diode D4, the third secondary winding N13 charges the fourth filter capacitor C4 until the voltage across the fourth filter capacitor C4 reaches uiAnd/3, the sum of the voltages of the three filter capacitors in the power circuit is always equal to uiThe second filter capacitor C2 and the third filter capacitor C3C3 reduce the terminal voltage to u by dischargingiAnd/3, the power circuit reaches a normal working state, and automatic voltage sharing of the filter capacitor is realized.
When the filter capacitors are in voltage sharing, assuming that the voltage of each capacitor is uc, the rear-stage inverter circuit is provided with the following four switch combinations, and the working principle is as follows: (1) in the three IGBTs S2-S4, when only the IGBT S2 is conducted, the primary side of an inverter transformer Tr2 is conductive, the voltage applied to the primary side is the terminal voltage of a positive filter capacitor C2, the secondary side of the inverter transformer Tr2 induces voltage, and if the number of turns of the primary side and the secondary side of the inverter transformer Tr2 is equal, the final output voltage uo is + uo; (2) in three IGBTSs S2-S4, when only the IGBTS4 is conducted, the primary side of an inverter transformer Tr3 is conductive, the voltage applied to the primary side is the terminal voltage of a negative filter capacitor C4, the secondary side of the inverter transformer Tr2 induces voltage, and if the number of turns of the primary side and the secondary side of the inverter transformer Tr2 is equal, the final output voltage uo is-uo; (3) in the three IGBTs S2-S4, when only the IGBTs S2 and S3 are conducted, the final output voltage uo is +3 uo; (4) in the three IGBTs S2-S4, when only the IGBTs S3 and S4 are conducted, the final output voltage uo is-3 uo; therefore, by reasonably controlling the IGBT bridge arms and selecting different switch combinations, alternating voltage can be obtained at the secondary stages of the two inverter transformers to supply power for the rear-stage alternating current load. After the alternating voltage is connected with the rectifier, direct current voltage can be obtained to supply power for a post-stage direct current load, such as a load of a plasma cutting machine. The IGBT S3 can also be eliminated and the combination of the two switches can be eliminated without affecting the operation of the inverter circuit.
Because the direct-current voltage has good voltage-sharing, a direct-current blocking capacitor connected in series with the primary winding of the inverter transformer can be omitted.
In a preferred embodiment, the dc power supply of the inverter type plasma cutting machine, the parameters of the above components can be selected as follows:
power device MOSFET S1 switching frequency: 20 kHz-50 kHz;
absorption resistance R1: 3 x 47k omega, which is used for primary side magnetic reset of the voltage-sharing transformer;
voltage-sharing resistors R2-R4: 5.6k omega/5W for static voltage sharing;
absorption capacitance C1: 4.70pF/3kV for primary side magnetic reset of the voltage-sharing transformer;
C2-C4: 680 muF/200V, a filter capacitor, and three paths of direct current voltage for the inverter;
schottky diode D1: 1kV, 3A/85 ℃, and is used for primary side magnetic reset of the voltage-sharing transformer;
D2-D4: charging the filter capacitor in one direction by using a secondary winding of the voltage-sharing transformer at 600V and 5A/85 ℃;
power device IGBT S1-S4: 1200V, 25A/85 ℃ for an inverter;
voltage-dividing resistance: r5, R6: 199k Ω and 1k Ω for generating voltage signals of the filter capacitor C4;
voltage-dividing resistance: r7, R8: 3 x 199k Ω and 3k Ω for generating voltage signals of the whole dc loop;
resistors R9-R19: 2k omega for comparison circuit;
voltage-dividing resistance: r20 and R21: 68k Ω and 22k Ω for voltage detection and limitation of the highest switching frequency;
drive resistance R22: 11 Ω, for driving the gate current limit of the power device MOSFET S1;
shunt resistance R23: 1.5 Ω, used for detecting the current of the power device MOSFET S1;
R24-R27: all 300k omega are used for measuring the voltage of the direct current loop;
transient suppression diode TVS 1: 200V, P4SMA200A, used for measuring the direct current loop voltage;
voltage-sharing transformer Tr 1: 47 kHz;
inverter transformers Tr2 and Tr 3: 10 kHz-40 kHz;
a control chip: UCC28740, a flyback switching power supply controller;
control circuit operational amplifiers U1-U3: LM358, operational amplifier, used as comparator;
a direct-current power supply: +15.0V, operating power supply.
In summary, the invention realizes the effect of automatically equalizing the voltage of the high-frequency transformer circuit for the uneven filter capacitor when the voltage of each filter capacitor in the power circuit is unbalanced due to capacitance value, leakage resistance and other reasons, has the characteristics of simple control, quick response and good voltage equalizing effect, and can be applied to practical applications such as half-bridge inverter type plasma cutting machines.
The foregoing description of specific embodiments of the present invention has been presented. It is to be understood that the present invention is not limited to the specific embodiments described above, and that various changes and modifications may be made by one skilled in the art within the scope of the appended claims without departing from the spirit of the invention.

Claims (5)

1. The utility model provides a control circuit of automatic equalizer circuit of electric capacity series connection which characterized in that:
capacitor series connection automatic voltage-sharing circuit includes power circuit, power circuit includes voltage-sharing circuit and inverter circuit, wherein:
the voltage-sharing circuit is provided with a voltage-sharing transformer Tr1, and the secondary side of the voltage-sharing transformer Tr1 is provided with first to third secondary side windings N12, N11 and N13 and second to fourth diodes D2, D3 and D4;
the inverter circuit is composed of a capacitor bridge arm, a resistor bridge arm, an IGBT bridge arm, a first inverter transformer Tr2 and a second inverter transformer Tr3, wherein: the capacitor bridge arm is formed by sequentially connecting second to fourth filter capacitors C2, C3 and C4 in series and is responsible for providing balanced three paths of direct current voltage; the resistance bridge arm is responsible for carrying out static voltage sharing on the capacitance bridge arm; the IGBT bridge arm is responsible for DC-AC inversion, and three paths of direct current voltages of the resistance bridge arm after static voltage sharing are inverted into current detection voltages; the first inverter transformer Tr2 and the second inverter transformer Tr3 are connected with a capacitor bridge arm and an IGBT bridge arm to play an isolation role, and meanwhile, electric energy is transmitted through electromagnetic induction;
when the energy of the primary side and the secondary side of the voltage-sharing transformer Tr1 is transmitted, the second secondary winding N11 is connected to two ends of a third filter capacitor C3 through a third diode D3; the first secondary winding N12 is connected to two ends of the second filter capacitor C2 through a second diode D2; the third secondary winding N13 is connected to two ends of a fourth filter capacitor C4 through a third diode D4, and is used for equalizing the voltage of the second to fourth filter capacitors C2, C3 and C4;
the capacitor bridge arm is formed by sequentially connecting a second filter capacitor C2-a fourth filter capacitor C4 in series;
the resistance bridge arm is formed by sequentially connecting a second voltage-sharing resistor R2-a fourth voltage-sharing resistor R4 in series;
the IGBT bridge arm is formed by sequentially connecting a second IGBT S2-a fourth IGBT S4;
wherein:
the direct current positive electrode is connected with the positive electrode of the second filter capacitor C2, one end of the second voltage-sharing resistor R2 and the drain electrode of the second IGBT S2;
the direct current cathode is connected with the cathode of a fourth filter capacitor C4, one end of a fourth voltage-sharing resistor R4 and the source of a fourth IGBT S4;
the negative electrode of the second filter capacitor C2 is connected with the positive electrode of the third filter capacitor C3, the other end of the second equalizing resistor R2, one end of the third equalizing resistor R3 and the non-homonymous end of the primary winding of the first inverter transformer Tr 2;
the negative electrode of the third filter capacitor C3 is connected with the positive electrode of the fourth filter capacitor C4, the other end of the third equalizing resistor R3, the other end of the fourth equalizing resistor R4 and the non-homonymous end of the primary winding of the second inverter transformer Tr 3;
the source electrode of the second IGBT S2 is connected with the drain electrode of the third IGBT S3 and the dotted terminal of the primary winding of the first inverter transformer Tr 2;
the source electrode of the third IGBT S3 is connected with the drain electrode of the fourth IGBT S4 and the dotted terminal of the primary winding of the second inverter transformer Tr 3;
the output positive electrode is connected with the homonymous end of a secondary winding of the first inverter transformer Tr 2; the output negative electrode is connected with the non-dotted terminal of the secondary winding of the second inverter transformer Tr 3; the non-dotted terminal of the secondary winding of the first inverter transformer Tr2 is connected with the dotted terminal of the secondary winding of the second inverter transformer Tr 3;
the control circuit comprises a voltage measuring circuit, a peripheral circuit and an analog circuit, wherein: the voltage measuring circuit comprises fifth voltage dividing resistors R5-eighth voltage dividing resistors R8, and the fifth voltage dividing resistors R5 and the sixth voltage dividing resistors R6 are connected in series and then connected in parallel to two ends of a fourth filter capacitor C4 in the power circuit; the seventh voltage-dividing resistor R7 and the eighth voltage-dividing resistor R8 are connected in series and then connected between the direct current positive electrode and the direct current negative electrode;
the voltage measuring circuit is used for detecting the voltage at the direct current side, obtaining a voltage signal under the action of seventh to eighth voltage dividing resistors R7 and R8, detecting the voltage at the end of a fourth filter capacitor C4 in the power circuit, obtaining another voltage signal under the action of fifth to sixth voltage dividing resistors R5 and R6, and taking the two voltage signals as the input of a peripheral circuit;
the peripheral circuit is used for comparing the two voltage signals obtained by the voltage measuring circuit and feeding the processed signals back to a feedback input port of a control chip in the analog circuit; the control chip is a flyback switching power supply controller;
the control chip is used for processing each signal from the analog circuit to obtain a driving pulse signal and controlling the on-off state of a power device in the power circuit;
the fifth voltage-dividing resistor R5-eighth voltage-dividing resistor R8 have R6/(R5+R6)=3R8/(R7+R8) The relation of (1), each parameter in the formula is the resistance value of the corresponding resistor;
the analog circuit comprises a control chip, a first transient suppression diode TVS1, a twentieth resistor R20-a twenty-seventh resistor R27, wherein: a first pin VDD of the control chip is connected with a +15V working power supply, one end of a twentieth resistor R20 is connected with the +15V working power supply, and the other end of the twentieth resistor R20 is connected with one end of a second pin VS of a voltage detection input end of the control chip and one end of a twenty-first resistor R21; the other end of the twenty-first resistor R21 is grounded; one end of a twenty-second resistor R22 is connected with a sixth pin DRV of the driving output port of the control chip, and the other end of the twenty-second resistor R22 is connected with the grid electrode of a first power MOSFET S1 in the power circuit; one end of a twenty-third resistor R23 is connected with the source electrode of a first power MOSFET S1 in the power circuit and a fifth pin CS of the control chip, and the other end is grounded; one end of a twenty-fourth resistor R24 is connected with the anode of the first transient suppression diode TVS1 and the eighth pin HV of the high-voltage input port of the control chip, and the other end of the twenty-fourth resistor R24 is connected with twenty-fifth resistor R25 to twenty-seventh resistor R27 in series in sequence and then grounded; a twenty-fifth resistor R25, a twenty-sixth resistor R26 and a twenty-seventh resistor R27 are sequentially connected in series end to end; a bias power supply input port VDD of the control chip is connected with a +15V working power supply, and a fourth pin GND of the grounding input port is connected with a ground end.
2. The control circuit of the capacitor series automatic voltage equalizing circuit according to claim 1, wherein: the voltage-sharing circuit further comprises a first power MOSFET S1, a first filter capacitor C1, a first resistor R1, a twenty-third resistor R23 and a first diode D1, wherein:
one end of a first resistor R1 is connected with one end of a first filter capacitor C1, the same-name end of a primary winding of a voltage-sharing transformer Tr1 and a direct-current positive electrode, and the other end of the first resistor R1 is connected with the other end of the first filter capacitor C1 and the cathode of a first diode D1;
the anode of the first diode D1 is connected with the non-dotted terminal of the voltage-sharing transformer Tr1 and the drain of the first power MOSFET S1, the drain of the first power MOSFET S1 is connected with one end of the twenty-third resistor, and the other end of the twenty-third resistor is connected with the DC negative electrode;
the dotted terminal of a first secondary winding N12 of the voltage-sharing transformer Tr1 is connected with the anode and the direct-current anode of a second filter capacitor C2 through a second diode D2, and the non-dotted terminal of the voltage-sharing transformer Tr1 is connected with the cathode of the second filter capacitor C2;
the dotted terminal of a second secondary winding N11 of the voltage-sharing transformer Tr1 is connected with the anode of a third filter capacitor C3 through a third diode D3, and the non-dotted terminal of the voltage-sharing transformer Tr1 is connected with the cathode of the third filter capacitor C3;
the dotted terminal of the third secondary winding N13 of the voltage-sharing transformer Tr1 is connected to the positive electrode of the fourth filter capacitor C4 through the fourth diode D4, and the non-dotted terminal thereof is connected to the negative electrode of the second filter capacitor C2.
3. The control circuit of the capacitor series automatic voltage equalizing circuit according to claim 2, wherein: the first to third secondary windings N12, N11 and N13 of the voltage-sharing transformer Tr1 have the same turns, and are one third of the turns of the primary winding P1.
4. The control circuit of the capacitor series automatic voltage equalizing circuit according to claim 2, wherein: has one or more of the following characteristics:
the capacitance values of the second filter capacitor C2 to the fourth filter capacitor C4 are the same;
the first voltage equalizing resistor R2 to the fourth voltage equalizing resistor R4 have the same resistance value.
5. The control circuit of the capacitor series automatic voltage-equalizing circuit according to any one of claims 1 to 4, wherein: the peripheral circuit comprises ninth resistors R9-nineteenth resistors R19 and first operational amplifiers U1-third operational amplifiers U3, wherein:
one end of the ninth resistor R9 is connected with the first detection voltage U1, and the other end is connected with the inverting input end of the first operational amplifier U1; one end of the tenth resistor R10 is connected with the second detection voltage U2, and the other end is connected with the positive input end of the first operational amplifier U1; one end of the eleventh resistor R11 is connected with the positive input end of the first operational amplifier U1, and the other end is grounded; one end of the twelfth resistor R12 is connected with the second detection voltage U2, and the other end is connected with the reverse input end of the second operational amplifier U2;
one end of the thirteenth resistor R13 is connected with the first detection voltage U1, and the other end is connected with the positive input end of the second operational amplifier U2; one end of the fourteenth resistor R14 is connected with the positive input end of the second operational amplifier U2, and the other end is grounded; one end of the fifteenth resistor R15 is connected with the output end of the first operational amplifier U1, and the other end is connected with the inverting input end of the third operational amplifier U3;
one end of a sixteenth resistor R16 is connected with the output end of the second operational amplifier U2, and the other end of the sixteenth resistor R16 is connected with the positive input end of the third operational amplifier U3; one end of a seventeenth resistor R17 is connected with the positive input end of the third operational amplifier U3, and the other end is grounded; one end of an eighteenth resistor R18 is connected with the reverse input end of the third operational amplifier U3, and the other end is grounded; one end of the nineteenth resistor R19 is connected to the inverting input terminal of the third operational amplifier U3, and the other end of the nineteenth resistor R19 is connected to the third pin FB of the feedback input terminal of the control chip after being connected to the output terminal of the third operational amplifier U3.
CN201711363883.2A 2017-12-18 2017-12-18 Capacitor series automatic voltage-sharing circuit and control circuit thereof Expired - Fee Related CN108054940B (en)

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