CN103066879A - Triple frequency injection control method for modular multilevel converter - Google Patents

Abstract

A kind of triple frequency injection control method for modular multilevel converter, using the actual value modulator approach of capacitance voltage. And 3 harmonics are added simultaneously in bridge arm common mode current and output voltage, the current component being added With component of voltage

Meet expression formula respectively:

In formula: ω indicates control frequency.

Description

A kind of modular multi-level converter frequency tripling injection control method

Technical field

The present invention relates to a kind of control method of multilevel power electronic inverter.

Background technology

Modular multi-level converter (Modular Multilevel Converter, MMC) is a kind of novel electric power electric current transformer that obtains extensive concern recent years, is that A.Lesnicar and the R.Marquardt by Germany proposed about 2002 the earliest.Modular multi-level converter power unit module and structures shape that can cascade its be pressed onto the application scenario of high-tension electricity electronics unsteady flow in being specially adapted to.

The Basic Topological of three-phase modular multilevel current transformer as shown in Figure 1.The three-phase modular multilevel current transformer is made of six brachium pontis of three-phase, and every have up and down two brachium pontis mutually.Each brachium pontis is formed by a brachium pontis inductance submodule cascade identical with several structures respectively.Each module comprises two with electronic power switch device and a dc capacitor of anti-paralleled diode.

Each cross streams side electric current of modular multi-level converter equals the upper and lower bridge arm difference between currents, and the brachium pontis electric current is actual electric current by switching device.The single-phase brachium pontis electric current of current transformer is analyzed, and it can be decomposed into two parts:

i _{up_y}＝i _{com_y}+i _di _{f_y}

i _{down_y}＝i _{com_y}-i _di _{f_y}

I wherein _{Com_y}Expression brachium pontis electric current common mode component, i _{Dif_y}Expression brachium pontis difference between current mold component, y=a, b, c represents respectively A, B, C three-phase.

(1) flows into upper brachium pontis by DC side, do not flow directly into lower brachium pontis by AC, flow back at last the upper and lower bridge arm common mode component i of DC side _{Com_y}, this part is finished the energy exchange of DC side and current transformer upper and lower bridge arm submodule electric capacity, and it can be expressed as:

i _{com_y}＝(i _{up_y}+i _{down_y})/2

I wherein _{Up_y}Brachium pontis electric current in the expression, i _{Down_y}The lower brachium pontis electric current of expression, y=a, b, c represents respectively A, B, C three-phase.

(2) flow into respectively AC by upper and lower bridge arm, do not pass through the upper and lower bridge arm differential-mode component i of another one brachium pontis _{Dif_y}, this part is finished the energy exchange of current transformer upper and lower bridge arm submodule electric capacity and AC, and it can be expressed as:

i _di _{f_y}＝(iu _{p_y}-i _{down_y})/2＝i _{out_y}/2

I wherein _{Out_y}Expression ac-side current instantaneous value, y=a, b, c represents respectively A, B, C three-phase.

In running, control opening and turn-offing of each module switch device, can be so that in the dc capacitor of each module access brachium pontis or be bypassed.By access or the bypass of control dc capacitor, can control each bridge arm voltage, thus control AC voltage.

Modular multi-level converter, each module dc capacitor can be charged to a fixed potential at initial time

When dc capacitor access brachium pontis, the brachium pontis electric current will be given this capacitor charge and discharge, so that the current potential on the electric capacity departs from running

Namely have:

$u_{\mathrm{cap}\_j}\left(t\right)=U_{\mathrm{cap}}^{*}+{\∫}_0^t{s}_j\left(\mathrm{\τ}\right)i_j\left(\mathrm{\τ}\right)\mathrm{d\τ}$

U wherein _{Cap_j}(t) represent each module dc capacitor instantaneous voltage value; s _j(τ) represent the switch function of each module, this functional value is 1 when dc capacitor is access in brachium pontis in the module, and when dc capacitor was bypassed in the module, this functional value was 0; i _j(τ) represent the brachium pontis electric current that flows through in each module place brachium pontis.

Because AC side of converter voltage is determined by bridge arm voltage, and bridge arm voltage is obtained by each dc capacitor voltage support, therefore for so that current transformer can move normally, requirement is in running, each module dc capacitor voltage can be realized a kind of dynamic balance, can not significantly depart from U ₀, usually require deviation oscillation to be no more than ± 10%U ₀In case the converter module DC voltage balance can't be resolved, will directly cause current transformer normally to move.

For this problem, present stage various countries experts and scholars have also carried out some analyses.Each module DC voltage balance problem can be summed up as the problem of each module dc capacitor energy balance in the process that discharges and recharges, and this problem can be divided into two sub-problems and solve respectively.

1. each module dc capacitor energy balance problem in the brachium pontis;

2. energy balance problem between brachium pontis.

For problem 1, document " A New AC/AC Multilevel Converter Family " has proposed a kind of solution.The size of each SM submodule dc capacitor voltage of each brachium pontis of period measurement and each brachium pontis sense of current, and it is classified, the capacitance voltage size of measuring is arranged according to order from small to large, then according to the resulting brachium pontis level number of algorithm and the brachium pontis sense of current each SM submodule is controlled.If the brachium pontis electric current is so that each submodule capacitor charging, it is open-minded to choose so the less submodule of capacitance voltage; If the brachium pontis electric current is so that each submodule capacitor discharge, it is open-minded to choose so the larger submodule of capacitance voltage value.Emulation and experimental waveform given from document can find out that the method preferably resolves this problem, have realized capacitance voltage equilibrium problem in the brachium pontis, suppose all that when following analysis each module capacitance voltage equates in each brachium pontis.

For problem 2, in fact present stage commonly used modulator approach all can self-balancing address this problem.Present stage, modulator approach commonly used mainly contained voltage approaches method, phase-shifting carrier wave method etc., all had a basic assumption in these modulator approaches, and namely the voltage of each module capacitance is fixed value

The below illustrates as an example of the voltage approaches method example this class modulator approach is how to realize energy balance between brachium pontis.

For example according to demand for control, the output voltage set-point is

Y=a, b, c represents A, B, C three-phase.Then upper and lower bridge arm voltage given value is respectively

Formula below it satisfies:

$u_{\mathrm{up}\_y}^{*}=\frac{1}{2}{U}_{\mathrm{dc}}-u_{\mathrm{out}\_y}^{*}$

$u_{\mathrm{down}\_y}^{*}=\frac{1}{2}{U}_{\mathrm{dc}}+u_{\mathrm{out}\_y}^{*}$

U wherein _DcThe expression dc voltage.

According to the voltage approaches method, can obtain brachium pontis and the lower brachium pontis required number of modules N that opens in control cycle _{Up_y}, N _{Down_y}

$N_{\mathrm{up}\_y}=u_{\mathrm{up}\_y}^{*}/U_{\mathrm{cap}}^{*}$

$N_{\mathrm{down}\_y}=u_{\mathrm{down}\_y}^{*}/U_{\mathrm{cap}}^{*}$

According to N _{Up_y}With N _{Down_y}Can generate the control impuls of each module.

Yet in fact because the existence of the fluctuation of capacitance voltage, the brachium pontis virtual voltage will depart from the given voltage of brachium pontis.Set upper and lower bridge arm module capacitance voltage u _{Cap_up_y}, u _{Cap_down_y}Can be expressed as:

$u_{\mathrm{cap}\_\mathrm{up}\_y}=U_{\mathrm{cap}}^{*}+{\mathrm{\ϵ}}_{\mathrm{cap}\_\mathrm{up}\_y}$

$u_{\mathrm{cap}\_\mathrm{down}\_y}=U_{\mathrm{cap}}^{*}+{\mathrm{\ϵ}}_{\mathrm{cap}\_\mathrm{down}\_y}$

ε wherein _{Cap_up_y}And ε _{Cap_down_y}Represent respectively upper brachium pontis and lower bridge arm module voltage fluctuation of capacitor function.

Go up so brachium pontis and lower brachium pontis virtual voltage can be expressed as:

$u_{\mathrm{up}\_y}=u_{\mathrm{up}\_y}^{*}(1+\frac{{\mathrm{\ϵ}}_{\mathrm{cap}\_\mathrm{up}\_y}}{U_{\mathrm{cap}}^{*}})$

$u_{\mathrm{down}\_y}=u_{\mathrm{down}\_y}^{*}(1+\frac{{\mathrm{\ϵ}}_{\mathrm{cap}\_\mathrm{down}\_y}}{U_{\mathrm{cap}}^{*}})$

The single-phase reduced graph of the many level current transformers of Fig. 2 representation moduleization, L represents that load equivalent inductance, R represent load equivalent resistance, L among the figure _BridgeThe expression load inductance, can list the current-voltage correlation equation by this figure:

${2L}_{\mathrm{bridge}}\frac{{\mathrm{di}}_{\mathrm{com}\_y}}{\mathrm{dt}}=U_{\mathrm{dc}}-u_{\mathrm{up}\_y}-u_{\mathrm{down}\_y}$

$u_{\mathrm{out}}=-\frac{1}{2}(u_{\mathrm{up}\_y}-u_{\mathrm{down}\_y})=L\frac{{\mathrm{di}}_{\mathrm{out}\_y}}{\mathrm{dt}}+{\mathrm{Ri}}_{\mathrm{out}\_y}$

Now a larger disturbance appears in the upper brachium pontis of hypothesis, and lower bridge arm module voltage still equals the given voltage of module (hypothesis that just proposes for easy analysis, the module voltage fluctuation all exists all the time in fact up and down) here, for example:

ε _{cap_up_y}＞0

ε _{cap_down_y}＝0

So according to above formula as can be known because module voltage fluctuation will be so that brachium pontis electric current common mode component be less than normal than stable state, and output current is also less than normal than stable state, will inevitably cause so brachium pontis current ratio stable state less than normal, lower brachium pontis electric current then without with stable state without too large variation.Because the effect that discharges and recharges of brachium pontis electric current, upper brachium pontis current ratio stable state part less than normal will be so that upper brachium pontis capacitor discharge, also just so that upper brachium pontis capacitance voltage is got back to set-point.

Adopt as can be known conventional modulation algorithm of present stage by above analysis, the bridge arm module capacitance voltage has self-regulation, can reach the balance of energy between brachium pontis.

Can find out that also there is serious problem in the method but analyze output voltage,

$u_{\mathrm{out}}=\frac{1}{2}(u_{\mathrm{up}\_y}-u_{\mathrm{down}\_y})=u_{\mathrm{out}}^{*}-\frac{1}{2}(u_{\mathrm{up}\_y}^{*}\frac{{\mathrm{\ϵ}}_{\mathrm{cap}\_\mathrm{up}\_y}}{U_{\mathrm{cap}}^{*}}-u_{\mathrm{down}\_y}^{*}\frac{{\mathrm{\ϵ}}_{\mathrm{cap}\_\mathrm{down}\_y}}{U_{\mathrm{cap}}^{*}})$

To contain module capacitance voltage fluctuation component the output voltage as can be known from following formula, when module capacitance voltage fluctuation when not being very little with respect to output voltage, serious distortion will appear in output voltage.

As seen from the above analysis present stage conventional modulator approach, can so that between brachium pontis module capacitance voltage have self-regulation (being vulnerability to jamming), be to return initial condition when disturbance appears in module capacitance voltage, yet the method will be so that serious distortion appear in output voltage when the module capacitance voltage fluctuation is serious.

Summary of the invention

The objective of the invention is to solve the many level current transformers of module adopts existing modulation algorithm output voltage to be subjected to the problem of module voltage fluctuation, propose a kind of actual value modulator approach, and add compensatory algorithm so that algorithm of the present invention has the module capacitance voltage vulnerability to jamming of original modulation algorithm equally.

The present invention adopts the actual value of capacitance voltage to modulate, and the actual value modulation algorithm mainly contains following two steps:

(1) dc capacitor voltage with modular multi-level converter brachium pontis submodule sorts.The size of each submodule dc capacitor voltage of each brachium pontis of period measurement and each brachium pontis sense of current are arranged the capacitance voltage size of measuring according to order from small to large, the result is U _C1, U _C2, U _Cn

(2) determine the switch function of each submodule according to the modular multi-level converter brachium pontis sense of current, the given voltage of brachium pontis and each submodule capacitance voltage, be specially: if electric current is greater than 0, then select the less submodule of capacitance voltage open-minded, if the given voltage of brachium pontis is

If satisfy simultaneously:

$u_{\mathrm{bridge}}^{*}-{\mathrm{\Σ}}_{i=1}^k{U}_{\mathrm{ci}}>0$

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^{k+1}{U}_{\mathrm{ci}}<0$

Then that front k level submodule is open-minded, namely its switch function is S (1,2 ..., k)=1; K+1 level submodule is in the PWM state, and its switch function is $S(k+1)=\frac{u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^k{U}_{\mathrm{ci}}}{U_{c(k+1)}};$

If electric current less than 0, then selects the larger submodule of dc capacitor voltage open-minded, if satisfy simultaneously:

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^k{U}_{\mathrm{ci}}>0$

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=k-1}^n{U}_{\mathrm{ci}}<0$

K level submodule is in opening state then, and its switch function is S (k, k+1 ..., n)=1; K-1 level submodule is in the pulse-width modulation state, $S(k+1)=\frac{u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=k}^k{U}_{\mathrm{ci}}}{U_{c(k-1)}},$ Obtain at last the trigger impulse of each switching tube by the switch function of each submodule.

In order not destroy the advantage of voltage vulnerability to jamming between the brachium pontis that original modulation algorithm has, the present invention adds simultaneously 3 harmonics and solves module capacitance voltage vulnerability to jamming problem in brachium pontis common mode current and output voltage.Suppose that three-phase alternating current side output voltage set-point is respectively:

The current component that then adds

With component of voltage Satisfy respectively following formula:

$\tilde{i}=k\sin 3\mathrm{\&omega;t}$

$\tilde{u}=\tilde{U}\sin 3\mathrm{\&omega;t}$

In the formula:

Many level current transformers of representation moduleization AC output voltage set-point, subscript y=a, b, c represents respectively A, B, C three-phase; U _OutThe given voltage phase voltage of expression AC peak value; ω represents control frequency; K is determined by the deviation size of upper brachium pontis and lower bridge arm module average voltage, adopts pi regulator control to obtain in actual algorithm;

Be illustrated in the amplitude that adds the frequency tripling component in the output voltage, can provide according to experiment condition in the reality, be generally fixed value.

After adding this component, the instantaneous power of upper and lower bridge arm is respectively:

$=(\frac{U_{\mathrm{dc}}}{2}{i}_{\mathrm{com}\_y}-u_{\mathrm{out}\_y}^{*}\frac{i_{\mathrm{out}\_y}}{2}-\tilde{U}\frac{i_{\mathrm{out}\_\mathrm{<figure-callout\; id="2"\; label="y"\; filenames="HDA00002779539800011.png,HDA00002779539800012.png"\; state="\{\{state\}\}">y</figure-callout>}}}{2}\sin 3\mathrm{\&omega;t}+\mathrm{<figure-callout\; id="2"\; label="k\; U\; dc"\; filenames="HDA00002779539800011.png,HDA00002779539800012.png"\; state="\{\{state\}\}">k</figure-callout>}\frac{U_{\mathrm{dc}}}{}\frac{{}_{}}{2}\sin 3\mathrm{\&omega;t})\&PlusMinus;(\frac{U_{\mathrm{dc}}}{2}\frac{i_{\mathrm{out}\_\mathrm{<figure-callout\; id="2"\; label="y"\; filenames="HDA00002779539800011.png,HDA00002779539800012.png"\; state="\{\{state\}\}">y</figure-callout>}}}{2}$

By following formula as can be known, added respectively opposite DC component in the upper and lower bridge arm instantaneous power

Thereby can be according to the balance of module voltage bias adjustment upper and lower bridge arm module capacitance voltage.

Control method of the present invention has following steps:

(1) the every mutually upper and lower brachium pontis electric current of the many level current transformers of measurement mode blocking, many level current transformers of computing moduleization AC transient current i _{Out_y}:

i _{out_y}=i _{up_y}-i _{down_y}

In the formula: i _{Up_y}Brachium pontis electric current in the expression, i _{Down_y}The lower brachium pontis electric current of expression;

(2) calculate brachium pontis electric current common mode component set-point

Brachium pontis electric current common mode component set-point

Expression formula be:

$i_{\mathrm{com}\_y}^{*}=\frac{u_{\mathrm{out}\_y}^{*}{i}_{\mathrm{out}\_y}}{U_{\mathrm{dc}}}$

In the formula: U _DcExpression DC side busbar voltage,

The given voltage of expression AC, i _{Out_y}The instantaneous value of ac-side current;

(3) mean value of each direct current submodule voltage of brachium pontis and lower brachium pontis in the calculating, upper brachium pontis capacitance voltage mean value and lower brachium pontis appearance average voltage are subtracted each other, the difference of gained is sent in the pi regulator, it is that 1 frequency is the component sin 3 ω t of 3 times of output voltages that the as a result k that obtains multiply by amplitude again, the result who obtains revises as the first of brachium pontis electric current common mode component, joins in the set-point of brachium pontis electric current common mode component;

(4) mean value and the d-c bus voltage value of upper brachium pontis and each direct current submodule voltage sum of lower brachium pontis are subtracted each other, the difference of gained is sent in the pi regulator, the result who obtains joins in the set-point of brachium pontis electric current common mode component as the second portion correction of brachium pontis electric current common mode component;

(5) according to upper brachium pontis current i _{Up_y}With lower brachium pontis current i _{Down_y}Calculate the actual value i of brachium pontis electric current common mode component _{Com_y}, the expression formula of the actual value of brachium pontis electric current common mode component is:

i _{com_y}＝(i _{up_y}+i _{down_y})/2；

(6) difference of the actual value of the set-point of brachium pontis electric current common mode component and brachium pontis electric current common mode component is sent in the pi regulator, the result who obtains is the correction value Δ (u of bridge arm voltage _Up+ u _Down);

(7) in current transformer output voltage set-point, add the frequency tripling component, and calculate the given voltage of upper brachium pontis according to the given magnitude of voltage of modular multi-level converter AC, DC bus-bar voltage and bridge arm voltage correction value

Given voltage with lower brachium pontis

Expression formula is:

$u_{\mathrm{up}\_y}^{*}=\frac{U_{\mathrm{dc}}}{2}-(u_{\mathrm{out}\_y}^{*}+\tilde{U}\sin 3\mathrm{\&omega;t})+0.5\&times;\mathrm{\&Delta;}(u_{\mathrm{up}}+u_{\mathrm{down}})$

$u_{\mathrm{down}\_y}^{*}=\frac{{\mathrm{<figure-callout\; id="2"\; label="U\; dc"\; filenames="HDA00002779539800011.png,HDA00002779539800012.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{dc}}}{2}+(u_{\mathrm{out}\_y}^{*}+\tilde{U}\sin 3\mathrm{\&omega;t})+0.5\&times;\mathrm{\&Delta;}(u_{\mathrm{up}}+u_{\mathrm{down}})$

(8) the upper brachium pontis that step (7) is obtained and the given voltage of lower brachium pontis are sent in the above-mentioned actual value modulation algorithm, obtain the control signal of brachium pontis and lower each switching device of brachium pontis on the modular multi-level converter, thereby control each switching device of described upper brachium pontis and lower brachium pontis.

Description of drawings

Fig. 1 three-phase modular multilevel current transformer Basic Topological schematic diagram;

The single-phase rough schematic view of Fig. 2 modular multi-level converter;

Fig. 3 control method schematic diagram of the present invention;

Fig. 4 uses control method experimental waveform figure of the present invention.

Embodiment

The invention will be further described below in conjunction with the drawings and specific embodiments.

Fig. 1 is three-phase modular multilevel current transformer Basic Topological schematic diagram.Described current transformer is every to be followed in series to form by up and down two brachium pontis and AC reactor, and each brachium pontis is made of several power submodules SM series connection.Each submodule SM is made of a semi-bridge inversion unit and a dc energy storage electric capacity, and each semi-bridge inversion unit is in series by two full control electronic power switch devices with anti-paralleled diode.By conducting and the shutoff of control electronic power switch device, each the exportable voltage 0 in SM submodule two ends or capacitance voltage when setting submodule SM output voltage 0, are assert this submodule conducting, when submodule SM output capacitance magnitude of voltage, assert that this submodule turn-offs.Can realize that with shutoff direct voltage is to the conversion of alternating voltage by the conducting of controlling each submodule SM so.

Fig. 2 is the single-phase rough schematic view of modular multi-level converter, and each brachium pontis serial module structure can equivalence be variable voltage source, turn-offs by the conducting of regulating each submodule in the brachium pontis, can control the actual value of this variable voltage source.U among the figure _DcExpression DC side busbar voltage, upper and lower brachium pontis electric current is respectively i _{Up_y}And i _{Down_y}, subscript up and down represent respectively brachium pontis and lower brachium pontis; Subscript j=a, b, c represents respectively a, b, c three-phase.The upper and lower bridge arm voltage that the cascade of direct current submodule forms is respectively u _{Up_y}And u _{Down_y}, the subscript meaning is the same.Phase current is respectively i _{Out_y}L _BridgeExpression brachium pontis inductance, R, L represent equivalent load.

The current transformer low frequency control method that the present invention proposes may further comprise the steps:

(1) the every mutually upper and lower brachium pontis electric current of the many level current transformers of measurement mode blocking calculates AC transient current i _{Out_y}:

i _{out_y}=i _{up_y}-i _{down_y}

In the formula: i _{Up_y}Brachium pontis electric current in the expression, i _{Down_y}The lower brachium pontis electric current of expression;

(2) calculate brachium pontis electric current common mode component set-point

Brachium pontis electric current common mode component set-point

Expression formula be:

$i_{\mathrm{com}\_y}^{*}=\frac{u_{\mathrm{out}\_y}^{*}{i}_{\mathrm{out}\_y}}{U_{\mathrm{dc}}}$

In the formula: U _DcExpression DC side busbar voltage,

The given voltage of expression AC, i _{Out_y}The instantaneous value of ac-side current;

(3) mean value of each direct current submodule voltage of brachium pontis and lower brachium pontis in the calculating, upper brachium pontis capacitance voltage mean value and lower brachium pontis appearance average voltage are subtracted each other, the difference of gained is sent in the pi regulator, it is that 1 frequency is the component sin3 ω t of 3 times of output voltages that the as a result k that obtains multiply by amplitude again, and the result who obtains revises as the first of brachium pontis electric current common mode component and joins in the set-point of brachium pontis electric current common mode component;

(4) mean value and the d-c bus voltage value of upper brachium pontis and each direct current submodule voltage sum of lower brachium pontis are subtracted each other, the difference of gained is sent in the pi regulator, and the result who obtains joins in the set-point of brachium pontis electric current common mode component as the second portion correction of brachium pontis electric current common mode component;

(5) according to upper brachium pontis current i _{Up_y}With lower brachium pontis current i _{Down_y}Calculate the actual value i of brachium pontis electric current common mode component _{Com_y}, the expression formula of the actual value of brachium pontis electric current common mode component is:

i _{com_y}＝(i _{up_y}+i _{down_y})/2；

(6) difference of the actual value of the set-point of brachium pontis electric current common mode component and brachium pontis electric current common mode component is sent in the pi regulator, the result who obtains is the correction value Δ (u of bridge arm voltage _Up+ u _Down);

(7) in current transformer output voltage set-point, add the frequency tripling component, and calculate the given voltage of upper brachium pontis according to the given magnitude of voltage of modular multi-level converter AC, DC bus-bar voltage and bridge arm voltage correction value

Given voltage with lower brachium pontis

Expression formula is:

$u_{\mathrm{up}\_y}^{*}=\frac{U_{\mathrm{dc}}}{2}-(u_{\mathrm{out}\_y}^{*}+\tilde{U}\sin 3\mathrm{\&omega;t})+0.5\&times;\mathrm{\&Delta;}(u_{\mathrm{up}}+u_{\mathrm{down}})$

$u_{\mathrm{down}\_y}^{*}=\frac{{\mathrm{<figure-callout\; id="2"\; label="U\; dc"\; filenames="HDA00002779539800011.png,HDA00002779539800012.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{dc}}}{2}+(u_{\mathrm{out}\_y}^{*}+\tilde{U}\sin 3\mathrm{\&omega;t})+0.5\&times;\mathrm{\&Delta;}(u_{\mathrm{up}}+u_{\mathrm{down}})$

(8) the upper brachium pontis and the given voltage of lower brachium pontis that step (7) are obtained are sent in the actual value modulation algorithm, obtain the control signal of brachium pontis and lower each switching device of brachium pontis on the modular multi-level converter, thereby control each switching device of described upper brachium pontis and lower brachium pontis.

(9) capacitance voltage actual value modulation algorithm comprises following two steps:

I. the capacitance voltage ordering.The size of each SM submodule dc capacitor voltage of each brachium pontis of period measurement and each brachium pontis sense of current, it is U that the capacitance voltage size of measuring is carried out rank results according to order from small to large _C1, U _C2, U _Cn

II. determine the switch function of each submodule according to the modular multi-level converter brachium pontis sense of current, the given voltage of brachium pontis and each submodule capacitance voltage, concretely: if electric current is greater than 0, then select the less submodule of capacitance voltage open-minded, if the given voltage of brachium pontis is

If satisfy simultaneously:

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^k{U}_{\mathrm{ci}}>0$

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^{k+1}{U}_{\mathrm{ci}}<0$

Then that front k level module is open-minded, namely its switch function is S (1,2 ..., k)=1; K+1 level module is in the PWM state, and its switch function is $S(k+1)=\frac{u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^k{U}_{\mathrm{ci}}}{U_{c(k+1)}};$

If electric current less than 0, then selects the larger submodule of capacitance voltage open-minded, if satisfy simultaneously:

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=k}^n{U}_{\mathrm{ci}}>0$

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=k-1}^n{U}_{\mathrm{ci}}<0$

K level module is in opening state then, and its switch function is S (k, k+1 ..., n)=1; K-1 level module is in the PWM state, $S(k+1)=\frac{u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=k}^k{U}_{\mathrm{ci}}}{U_{c(k-1)}};$ Obtain at last the trigger impulse of each switching tube by the switch function of individual module.

Below in conjunction with embodiment implementation result of the present invention is described, but the present invention is not limit by described specific embodiment.

In the experiment, each brachium pontis is formed by 10 module-cascades, and the module voltage initial value is 1700V, and output line voltage effective value set-point is 6kV, 50Hz, and output loading is 30mH, 32 ohm.

Fig. 4 is experimental waveform, is followed successively by from top to bottom three-phase current i _{Out_a}, i _{Out_b}, i _{Out_c}, A phase brachium pontis current i _{Up_a}, i _{Down_a}, A goes up brachium pontis and lower bridge arm module voltage U mutually _{C_up_a}, U _{C_down_a}, A phase output voltage u _{Out_a}Waveform, as can be seen from the figure three-phase output current sine degree is good, near all fluctuations 1700 of upper brachium pontis and lower bridge arm module voltage have anti-around property.Be not difficult to find out the validity of the inventive method from experiment.

Claims (3)

1. a modular multi-level converter frequency tripling injection control method is characterized in that, described control method adopts the actual value modulator approach of capacitance voltage, and adds simultaneously 3 harmonics in brachium pontis common mode current and output voltage;

Suppose that three-phase alternating current side output voltage set-point is respectively:

The current component that then adds

With component of voltage

Satisfy respectively following formula:

$\tilde{i}=k\sin 3\mathrm{\&omega;t}$

$\tilde{u}=\tilde{U}\sin 3\mathrm{\&omega;t}$

In the formula:

Many level current transformers of representation moduleization AC output voltage set-point, subscript y=a, b, c represents respectively A, B, C three-phase; U _OutThe given voltage phase voltage of expression AC peak value; ω represents control frequency; K is determined by the deviation size of upper brachium pontis and lower bridge arm module average voltage, adopts pi regulator control to obtain in actual algorithm; Be illustrated in the amplitude that adds the frequency tripling component in the output voltage.

2. control method according to claim 1 is characterized in that described control method comprises the steps:

(1) the every mutually upper and lower brachium pontis electric current of the many level current transformers of measurement mode blocking, many level of computing moduleization AC transient current i _{Out_y}:

i _{out_y}=i _{up_y}-i _{down_y}

In the formula: i _{Up_y}Brachium pontis electric current in the expression, i _{Down_y}The lower brachium pontis electric current of expression;

(2) calculate brachium pontis electric current common mode component set-point

Brachium pontis electric current common mode component set-point

Expression formula be:

$i_{\mathrm{com}\_y}^{*}=\frac{u_{\mathrm{out}\_y}^{*}{i}_{\mathrm{out}\_y}}{U_{\mathrm{dc}}}$

In the formula: U _DcExpression DC side busbar voltage,

The given voltage of expression AC, i _{Out_y}The instantaneous value of ac-side current;

(3) mean value of each direct current submodule voltage of brachium pontis and lower brachium pontis in the calculating, upper brachium pontis capacitance voltage mean value and lower brachium pontis appearance average voltage are subtracted each other, the difference of gained is sent in the pi regulator, it is that 1 frequency is the component sin 3 ω t of 3 times of output voltages that the as a result k that obtains multiply by amplitude again, and the result who obtains revises as the first of brachium pontis electric current common mode component and joins in the set-point of brachium pontis electric current common mode component;

(4) mean value and the d-c bus voltage value of upper brachium pontis and each direct current submodule voltage sum of lower brachium pontis are subtracted each other, the difference of gained is sent in the pi regulator, and the result who obtains joins in the set-point of brachium pontis electric current common mode component as the second portion correction of brachium pontis electric current common mode component;

(5) according to upper brachium pontis current i _{Up_y}With lower brachium pontis current i _{Down_y}Calculate the actual value i of brachium pontis electric current common mode component _{Com_y}, the expression formula of the actual value of brachium pontis electric current common mode component is:

ⁱ _{com_y}＝( ⁱ _{up_y}+ ⁱ _{down_y})/ ²；

(6) difference of the actual value of the set-point of brachium pontis electric current common mode component and brachium pontis electric current common mode component is sent in the pi regulator, the result who obtains is the correction value Δ (u of bridge arm voltage _Up+ u _Down);

(7) in modular multi-level converter output voltage set-point, add the frequency tripling component

And calculate the given voltage of upper brachium pontis according to the given magnitude of voltage of modular multi-level converter AC, DC bus-bar voltage and bridge arm voltage correction value

Given voltage with lower brachium pontis

Expression formula is:

$u_{\mathrm{up}\_y}^{*}=\frac{U_{\mathrm{dc}}}{2}-(u_{\mathrm{out}\_y}^{*}+\tilde{U}\sin 3\mathrm{\&omega;t})+0.5\&times;\mathrm{\&Delta;}(u_{\mathrm{up}}+u_{\mathrm{down}})$

$u_{\mathrm{down}\_y}^{*}=\frac{U_{\mathrm{dc}}}{2}+(u_{\mathrm{out}\_y}^{*}+\tilde{U}\sin 3\mathrm{\&omega;t})+0.5\&times;\mathrm{\&Delta;}(u_{\mathrm{up}}+u_{\mathrm{down}})$

(8) the upper brachium pontis that step (7) is obtained and the given voltage of lower brachium pontis are sent in the capacitance voltage actual value modulation algorithm, obtain the control signal of brachium pontis and lower each switching device of brachium pontis on the modular multi-level converter, thereby control each switching device of described upper brachium pontis and lower brachium pontis.

3. control method according to claim 1 and 2 is characterized in that described capacitance voltage actual value modulation algorithm comprises following two steps:

I. the capacitance voltage ordering: the size of each submodule of each brachium pontis of period measurement modular multi-level converter (SM) dc capacitor voltage and each brachium pontis sense of current, the capacitance voltage size of measuring is arranged according to order from small to large, the result is U _C1, U _C2, U _Cn

II. determine the switch function of each submodule according to the modular multi-level converter brachium pontis sense of current, the given voltage of brachium pontis and each submodule capacitance voltage, if electric current greater than 0, then selects the less submodule of capacitance voltage open-minded, if the given voltage of brachium pontis is

If satisfy simultaneously:

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^k{U}_{\mathrm{ci}}>0$

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^{k+1}{U}_{\mathrm{ci}}<0$

Then that front k level submodule is open-minded, namely its switch function is S (1,2 ..., k)=1; K+1 level submodule is in the PWM state, and its switch function is $S(k+1)=\frac{u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=1}^k{U}_{\mathrm{ci}}}{U_{c(k+1)}};$

If electric current less than 0, then selects the larger submodule of capacitance voltage open-minded, if satisfy simultaneously:

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=k}^n{U}_{\mathrm{ci}}>0$

$u_{\mathrm{bridge}}^{*}-{\mathrm{\&Sigma;}}_{i=k-1}^n{U}_{\mathrm{ci}}<0$

K level submodule is in opening state then, and its switch function is S (k, k+1 ..., n)=1; K-1 level submodule is in the PWM state, Obtain at last the trigger impulse of each switching tube by the switch function of each submodule.

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