CN105718703B - A kind of modeling method of three-level converter - Google Patents

A kind of modeling method of three-level converter Download PDF

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Publication number
CN105718703B
CN105718703B CN201610135779.7A CN201610135779A CN105718703B CN 105718703 B CN105718703 B CN 105718703B CN 201610135779 A CN201610135779 A CN 201610135779A CN 105718703 B CN105718703 B CN 105718703B
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level
active mode
time
mode
converter
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CN105718703A (en
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姚志垒
徐进
徐静
彭思敏
陈冲
李小凡
于学华
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Chenxin Electronics (Suzhou) Co.,Ltd.
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Yangcheng Institute of Technology
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/30—Circuit design
    • G06F30/36—Circuit design at the analogue level
    • G06F30/367—Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/30—Circuit design

Abstract

The invention discloses a kind of modeling methods of three-level converter, belong to straight convertor modeling method.Three-level converter of the invention includes input power, three level-conversion circuits, filter circuit and load；The three-level converter is modeled on the basis of three level-conversion circuit output voltage waveforms.Three-level converter of the invention is suitable for the occasion of wide input voltage, two kinds of operating mode small-signal models having the same of three level and two level, so that the design of system closed-loop parameters only need to simplify design procedure according to a kind of design of operating modes.In addition, under two kinds of operating modes, system dynamic characteristic having the same.

Description

A kind of modeling method of three-level converter
Technical field
The present invention relates to a kind of modeling method of converter, especially a kind of modeling method of three-level converter.
Background technique
In recent years, the shortage of the energy and the pollution of environment has become the focus in the world, the development of renewable energy and answers With the extensive concern by countries in the world.In renewable energy system, the electric energy that photovoltaic cell issues all is variation model Wide direct current is enclosed, and the input of the front stage converter as gird-connected inverter needs constant direct current, it is therefore desirable to direct current Converter is converted to the direct current of wide variation range in the direct current of constant voltage.Three-level converter is to be suitble to wide input voltage It is whole with output greatly there are input current pulsation can to solve conventional voltage source DC converter for the common topological structure of straight convertor Stream diode voltage stress high problem and conventional current source DC converter are big there are output ripple current and switching tube is electric The high problem of compression.But the modeling method of existing three-level converter is built upon on the basis of switching tube duty ratio, and three The small-signal model of level and two two kinds of operating modes of level is not identical, and therefore, the closed loop control parameters under both of which need It is individually designed, and to guarantee that system is all stable under both of which, to increase the complexity of system design.In addition, two kinds of works There are different dynamic characteristics for operation mode.Therefore the modeling method for studying simple three-level converter, there is important theory Meaning and application value.
Summary of the invention
The shortcomings that it is an object of the invention to for converter in the prior art, propose three level of one kind and two level actives Mode has the modeling method of the three-level converter of identical small-signal model.
The modeling method of three-level converter of the invention, the three-level converter include input power Uin, three level Translation circuit, filter circuit and load RL, wherein filter circuit includes filter inductance Lf, filter capacitor CfWith its equivalent series electricity Hinder RESR；The following steps are included:
1) three-level converter is analyzed, determines the operation mode of system；
2) state equation of each operation mode is established；
3) system average state equation is established；
4) small-signal model of system is established.
Wherein, in the step 1), the three-level converter work is in two kinds of operating modes of three level and two level；Institute Stating three level active modes includes 1 level active mode, 1/2 level active mode and 0 level active mode, the two level work Operation mode includes 1/2 level active mode and 0 level active mode；Three-level converter can be obtained there are three operation modes, i.e., 1 Level active mode, 1/2 level active mode and 0 level active mode.
Wherein, in the step 2), the corresponding tri-level switch circuit output voltage U of 1 level active modeABFor nUin, Its state equation, which can be obtained, is
In formula, ucfFor filter capacitor CfVoltage, iLTo flow through filter inductance LfElectric current, n is no-load voltage ratio,For iLTo the time Derivative,For ucfTo the derivative of time.
The corresponding tri-level switch circuit output voltage U of 1/2 level active modeABFor nUin/ 2, its state equation can be obtained For
The corresponding tri-level switch circuit output voltage U of 0 level active modeABIt is 0, can obtain its state equation is
Wherein, in the step 3), according to the state equation of the turn-on time of each operation mode and each operation mode, really Determine the average state equation of system:
In formula, d1For the time t of 1 level active modeon1With three level-conversion circuit output voltage UABCycle TsThe ratio between, d2 For ton2With TsThe ratio between, wherein ton2For the time of 1/2 level active mode and the sum of the time of 1 level active mode.
Wherein, in the step 4), output voltage uoWith output filter capacitor voltage ucfRelational expression:
It can determine the small-signal model of system:
In formula, N (s)=2 [LfCf(RESR+RL)s2+(RLCfRESR+Lf)s+RL], upper marker tape ^ is the small letter of correlated variables Number amount.
Three level-conversion circuit can be that isolation circuit is also non-isolated circuit.Three level-conversion circuit is non- When isolation circuit, no-load voltage ratio n is 1；When three level-conversion circuit is isolation circuit, no-load voltage ratio n is transformer secondary the number of turns and original The ratio between side the number of turns.The three-level converter work is in three level modes, the time ton1It is adjustable, the time ton2For most Big turn-on time ton(max), i.e. d1It is adjustable, d2For maximum value d2max；The three-level converter work is in two level modes, institute State time ton1It is 0, the time ton2It is adjustable, i.e. d1It is 0, d2It is adjustable.
Three-level converter of the invention is suitable for the occasion of wide input voltage, two kinds of operating modes of three level and two level Small-signal model having the same, so that the design of system closed-loop parameters need to only simplify according to a kind of design of operating modes Design procedure.In addition, under two kinds of operating modes, system dynamic characteristic having the same.
Detailed description of the invention
Fig. 1: the topology diagram of three-level converter of the invention.
Fig. 2: the waveform of three level-conversion circuit output voltages under three level modes of the invention.
Fig. 3: the waveform of three level-conversion circuit output voltages under two level modes of the invention.
Fig. 4: the equivalent circuit diagram under 0 level active mode of the invention.
Fig. 5: the equivalent circuit diagram under 1/2 level active mode of the invention.
Fig. 6: the equivalent circuit diagram under 1 level active mode of the invention.
Specific embodiment
As shown in Figure 1, the application three-level converter includes input power Uin, three level-conversion circuits, filter circuit and Load RL, wherein filter circuit includes filter inductance Lf, filter capacitor CfWith its equivalent series resistance RESR；Modeling method include with Lower step:
1) three-level converter is analyzed, determines the operation mode of system
Three-level converter works in two kinds of operating modes of three level and two level；Three level active modes include 1 level Operation mode, 1/2 level active mode and 0 level active mode, two level active modes include 1/2 level active mode and 0 Level active mode, thus by above two operating mode it is found that three-level converter there are three operation modes, i.e. 1 level Operation mode, 1/2 level active mode and 0 level active mode.
2) state equation of each operation mode is established
The corresponding tri-level switch circuit output voltage U of 1 level active modeABFor nUin, can obtain its state equation is
In formula, ucfFor filter capacitor CfVoltage, iLTo flow through filter inductance LfElectric current, n is no-load voltage ratio,For iLTo the time Derivative,For ucfTo the derivative of time.
The corresponding tri-level switch circuit output voltage U of 1/2 level active modeABFor nUin/ 2, its state equation can be obtained For
The corresponding tri-level switch circuit output voltage U of 0 level active modeABIt is 0, can obtain its state equation is
3) system average state equation is established
According to the turn-on time of each operation mode and formula (1)~(3), the average state equation of system is determined:
In formula, d1For the time t of 1 level active modeon1With three level-conversion circuit output voltage UABCycle TsThe ratio between, d2 For ton2With TsThe ratio between, wherein ton2For the time of 1/2 level active mode and the sum of the time of 1 level active mode.
4) small-signal model of system is established
Output voltage uoWith output filter capacitor voltage ucfRelational expression:
By formula (5) and formula (6), it may be determined that the small-signal model of system:
In formula, N (s)=2 [LfCf(RESR+RL)s2+(RLCfRESR+Lf)s+RL], upper marker tape ^ is the small letter of correlated variables Number amount.
Three level-conversion circuits can be that isolation circuit is also non-isolated circuit.Three level-conversion circuits are non-isolated circuit When, no-load voltage ratio n is 1；When three level-conversion circuits are isolation circuit, no-load voltage ratio n is the ratio between transformer secondary the number of turns and primary side the number of turns.Three Level converter works in three level modes, time ton1It is adjustable, time ton2For maximum turn-on time ton(max), i.e. d1It is adjustable, d2For maximum value d2max；Three-level converter works in two level modes, time ton1It is 0, time ton2It is adjustable, i.e. d1It is 0, d2It is adjustable.
As the above analysis, three-level converter is under three level modes, only d1It is adjustable；Under two level modes, Only d2It is adjustable.Therefore, under three level modes, small-signal model is output voltage uoTo d1Transmission function and filtered electrical electrification Flow iLTo d1Transmission function；Under two level modes, small-signal model is output voltage uoTo d2Transmission function and filter inductance Electric current iLTo d2Transmission function.By formula (6) it is found that the small-signal model under three level and two level modes is identical, to simplify The designs of closed-loop parameters.In addition, the dynamic characteristic under two kinds of operating modes is identical under identical closed-loop parameters.

Claims (4)

1. a kind of modeling method of three-level converter, the three-level converter includes input power Uin, three level translations electricity Road, filter circuit and load RL, wherein filter circuit includes filter inductance Lf, filter capacitor CfWith its equivalent series resistance RESR； The following steps are included:
1) three-level converter is analyzed, determines the operation mode of system,
2) state equation of each operation mode is established,
3) system average state equation is established,
4) small-signal model of system is established；
It is characterized in that, the three-level converter work is in two kinds of operating modes of three level and two level in the step 1)； The three level actives mode includes 1 level active mode, 1/2 level active mode and 0 level active mode, two level Operating mode includes 1/2 level active mode and 0 level active mode；Three-level converter can be obtained there are three operation modes, That is 1 level active mode, 1/2 level active mode and 0 level active mode；
In the step 2), the corresponding tri-level switch circuit output voltage U of 1 level active modeABFor nUin, its state can be obtained Equation is
Wherein, ucfFor filter capacitor CfVoltage, iLTo flow through filter inductance CfElectric current, n is no-load voltage ratio,For iLTime is led Number,For ucfTo the derivative of time；
The corresponding tri-level switch circuit output voltage U of 1/2 level active modeABFor nUin/ 2, can obtain its state equation is
The corresponding tri-level switch circuit output voltage U of 0 level active modeABIt is 0, can obtain its state equation is
In the step 3), according to the state equation of the turn-on time of each operation mode and each operation mode, system is determined Average state equation:
In formula, d1For the time t of 1 level active modeon1With three level-conversion circuit output voltage UABCycle TsThe ratio between, d2For ton2With UABCycle TsThe ratio between, wherein ton2For the time of 1/2 level active mode and the sum of the time of 1 level active mode；
In the step 4), output voltage uoWith output filter capacitor voltage ucfRelational expression:
It can determine the small-signal model of system:
In formula, N (s)=2 [LfCf(RESR+RL)s2(RLCfRESR+Lf)s+RL], upper marker tape ^ is the small semaphore of correlated variables.
2. the modeling method of three-level converter according to claim 1, three level-conversion circuit can be isolation electricity Road can also be non-isolated circuit.
3. the modeling method of three-level converter according to claim 2, three level-conversion circuit is non-isolated electricity Lu Shi, no-load voltage ratio n are 1；When three level-conversion circuit is isolation circuit, no-load voltage ratio n is transformer secondary the number of turns and primary side the number of turns The ratio between.
4. the modeling method of three-level converter according to claim 1, the three-level converter work is in three level When mode, the time ton1It is adjustable, the time ton2For maximum turn-on time ton(max), i.e. d1It is adjustable, d2For maximum value d2max；The three-level converter work is in two level modes, the time ton1It is 0, the time ton2It is adjustable, i.e. d1For 0, d2It is adjustable.
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