CN103715973A - Space voltage vector pulse width modulation algorithm of five-phase voltage source inverter bridge - Google Patents

Abstract

The invention discloses a space voltage vector pulse width modulation algorithm of a five-phase voltage source inverter bridge. The space voltage vector pulse width modulation algorithm of the five-phase voltage source inverter bridge can simultaneously control fundamental wave output and third harmonic wave output. When a fundamental reference voltage vector falls upon one sector of fundamental wave space, only two large space voltage vectors and two middle space voltage vectors are selected to compound a fundamental wave reference voltage vector, wherein the sector is defined by the two large space voltage vectors and the two middle space voltage vectors; the selected large space voltage vectors and the selected middle space voltage vectors in the fundamental wave space are small space voltage vectors and middle space voltage vectors in third harmonic wave space; a third harmonic wave reference voltage vector is compounded through the small space voltage vectors and the middle space voltage vectors by the third harmonic wave space. According to the parallelogram rule, action time of the two middle space voltage vectors and the two large space voltage vectors in the fundamental wave space and action time of appropriately-inserted zero-voltage vector are obtained. A current fundamental wave and a third harmonic wave current of a stator of a five-phase permanent magnet synchronous motor are made to indirectly act with the fundamental wave and a third harmonic permanent magnetic field on a rotor respectively so that the motor output can be improved and a stator current peak value can be reduced.

Description

A kind of five phase voltage source inverter bridge Using dSPACE of SVPWM algorithms

Technical field

The present invention relates to a kind of five phase voltage source inverter bridge Using dSPACE of SVPWM control technologys.Particularly relate to a kind of five phase voltage source inverter bridge Using dSPACE of SVPWM algorithms that can simultaneously control first-harmonic and triple-frequency harmonics output.

Background technology

Five phase voltage source inverter bridge are only to have more two brachium pontis and have five brachium pontis than three brachium pontis of three-phase voltage source inverter bridge.Five phase voltage source inverter bridge can be five phase Control System of Permanent Magnet Synchronous Motor power supplies by different control strategies.Because higher triple-frequency harmonics permanent magnetic field is contained in some five phase permanent magnet synchronous motor p-m rotor magnetic field, if also suitably inject appropriate triple harmonic current in the electric current that five phase permanent magnet synchronous motor five phase stator winding flow into except fundamental current, when triple harmonic current triple-frequency harmonics permanent magnetic field interacts exerting oneself of raising motor, because the stator current waveforms after fundamental current and triple harmonic current stack is similar to flat-topped wave, stator current peak value is diminished again, reduce the maximum current of power switch pipe in inverter bridge, be convenient to the power switch pipe of selecting rated current smaller.Now, just require five phase voltage source inverter bridge can control the space voltage vector of its output first-harmonic and triple-frequency harmonics simultaneously, the fundamental current of five phase permanent magnet synchronous motors and triple harmonic current are all effectively controlled by control strategy.At present, five phase voltage source inverter bridge output region voltage vector pulse width modulation algorithm mainly contain nearest two vector space voltage vector pulse width modulation algorithm and nearest four-vector Using dSPACE of SVPWM algorithm.

Nearest two vector space voltage vector pulse width modulation algorithm are that three-phase Using dSPACE of SVPWM algorithm is migrated to five phase systems simply, when reference voltage vector drops on a certain sector, first-harmonic space, only choose two " large space voltage vectors " surrounding this sector and synthesize first-harmonic reference voltage vector.The method only considers to obtain the synthetic effect of first-harmonic reference voltage, and the space voltage vector that not consideration is used is in the synthetic result in triple-frequency harmonics space.When two " large space voltage vectors " that surround this sector by this algorithm gained are controlled five phase voltage source inverter bridge action time, space voltage vector synthetic voltage vector in triple-frequency harmonics space is uncontrolled, and its size and locus all cannot be determined.

Four-vector Using dSPACE of SVPWM algorithm has considered that five phase systems have more free space voltage vector recently, and the algorithm drawing in conjunction with the feature of five phase systems, compared with Near two vectors SVPWM algorithm, have greatly improved, still, make triple-frequency harmonics be output as zero.Its control algolithm is, in first-harmonic space, when reference voltage drops on a certain sector, chooses two the middle space vectors of two large space vectors that surround this sector and carrys out synthesized reference voltage vector; Meanwhile, in triple-frequency harmonics space, the resultant vector that four space voltage vectors are chosen in order is zero.Like this when controlling five phase permanent magnet synchronous motors, cannot effectively utilize motor rotor triple-frequency harmonics permanent magnetic field and have more power.

Summary of the invention

The present invention, for solving the deficiency of above-mentioned technology, provides a kind of Using dSPACE of SVPWM algorithm that can simultaneously control five phase voltage source inverter bridge output first-harmonics and triple-frequency harmonics.

A kind of Using dSPACE of SVPWM algorithm that can simultaneously control five phase voltage source inverter bridge output first-harmonics and triple-frequency harmonics of the present invention is, when first-harmonic reference voltage vector

While dropping on a certain sector, first-harmonic space, in first-harmonic space, choose two large space voltage vectors that surround this sector

With

And two middle space voltage vectors

With

Synthesize first-harmonic reference voltage vector By two selected first-harmonic space large space voltage vectors With And two middle space voltage vectors With

In triple-frequency harmonics space, change correspondingly two little space voltage vectors into

With

And two middle space voltage vectors

With At two selected little space voltage vectors of triple-frequency harmonics space utilization With

And two middle space voltage vectors With

Synthesize triple-frequency harmonics reference voltage vector

In first-harmonic space, large space voltage vector

With middle space voltage vector Direction vector consistent, large space voltage vector

With middle space voltage vector

Direction vector consistent, wherein, large space voltage vector

Leading large space voltage vector Space electrical angle be π/5, first-harmonic reference voltage vector

Leading large space voltage vector

Space electrical angle be δ, first-harmonic reference voltage vector

Leading large space voltage vector Space electrical angle be ε, δ+ε=π/5; At triple-frequency harmonics ripple space, middle space voltage vector

With little space voltage vector

Direction vector contrary, middle space voltage vector

With little space voltage vector

Direction vector contrary, middle space voltage vector Space voltage vector in leading Space electrical angle be 3 π/5, little space voltage vector

Leading little space voltage vector

Space electrical angle be 3 π/5, triple-frequency harmonics reference voltage vector

Leading little space voltage vector

Space electrical angle be λ, middle space voltage vector

Leading triple-frequency harmonics reference voltage vector

Space electrical angle be μ, π/5, λ+μ=3.

In five phase voltage source inverter bridge DC bus-bar voltage, be U _dc, switch control cycle is T _ssituation under, when first-harmonic reference voltage vector

while dropping on a certain sector, in order to generate first-harmonic reference voltage vector

with triple-frequency harmonics reference voltage vector

surround this sector: middle space voltage vector

with middle space voltage vector

the time of effect is respectively t ₁and t ₂, large space voltage vector

with large space voltage vector

the time of effect is respectively t ₃and t ₄, the Zero voltage vector U that inserts ₀with Zero voltage vector U ₃₁coefficient time t ₀, respectively according to following various calculating:

${\mathrm{<figure-callout\; id="1"\; label="t"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">t</figure-callout>}}_1=\frac{T_s}{U_{\mathrm{dc}}}\left(1.1756\right|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}|\sin \mathrm{\&epsiv;}-1.9022|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\left|\sin \mathrm{\&mu;}\right)$

$t_2=\frac{T_s}{U_{\mathrm{dc}}}\left(1.1756\right|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}|\sin \mathrm{\&delta;}-1.9022|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\left|\sin \mathrm{\&lambda;}\right)$

${\mathrm{<figure-callout\; id="3"\; label="t"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">t</figure-callout>}}_3=\frac{T_s}{U_{\mathrm{dc}}}(1.9022|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}|\sin \mathrm{\&epsiv;}+1.1756|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\left|\sin \mathrm{\&mu;}\right)$

$t_4=\frac{T_s}{U_{\mathrm{dc}}}(1.9022|U_{\mathrm{<figure-callout\; id="1"\; label="ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">ref</figure-callout>}}^1|\sin \mathrm{\&delta;}+1.1756|U_{\mathrm{<figure-callout\; id="3"\; label="ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">ref</figure-callout>}}^3\left|\sin \mathrm{\&lambda;}\right)$

t ₀=T _s-t ₁-t ₂-t ₃-t ₄

The time that five phase voltage source inverter bridge are calculated gained as stated above applies space voltage vector, when realizing the first-harmonic of five phase voltage source inverter bridge outputs and triple-frequency harmonics space voltage vector, control, five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current are indirectly controlled, five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current are acted on respectively by controlling requirement and epitrochanterian first-harmonic and triple-frequency harmonics permanent magnetic field, thereby raising motor-output, reduces stator current peak value.

Accompanying drawing explanation

Fig. 1 is the five phase permanent magnet synchronous motor principle schematic that five phase voltage source inverter bridge involved in the present invention drive;

Fig. 2 is that five phase permanent magnet synchronous motors involved in the present invention are at the winding axis spatial distribution map in first-harmonic space;

Fig. 3 is that five phase permanent magnet synchronous motors involved in the present invention are at the winding axis spatial distribution map in triple-frequency harmonics space;

Fig. 4 is that 32 space voltage vectors can exporting of five phase voltage source inverter bridge involved in the present invention are at the distribution map in first-harmonic space;

Fig. 5 is that 32 space voltage vectors can exporting of five phase voltage source inverter bridge involved in the present invention are at the distribution map in triple-frequency harmonics space;

Fig. 6 is the schematic diagram at interior two the middle space voltage vectors in Yi Ge sector, first-harmonic space (I sector) and two synthetic first-harmonic reference voltage vectors of large space voltage vector involved in the present invention;

Fig. 7 is two middle space voltage vectors in Yi Ge sector, triple-frequency harmonics space utilization first-harmonic space (I sector) (being still middle space voltage vector in triple-frequency harmonics space) involved in the present invention and the schematic diagram of the synthetic triple-frequency harmonics reference voltage vector of two large space voltage vectors (being but little space voltage vector in triple-frequency harmonics space);

Fig. 8 is the sequential chart of the minimum first-harmonic reference voltage vector of guaranteed output switching tube switching loss involved in the present invention span voltage vector width-modulation pulse when I sector.

Embodiment

Below in conjunction with embodiment and accompanying drawing, the Using dSPACE of SVPWM algorithm that can simultaneously control five phase voltage source inverter bridge output first-harmonics and triple-frequency harmonics of the present invention is described in detail.

Five phase permanent magnet synchronous motor p-m rotor magnetic field, in generals contain higher triple-frequency harmonics magnetic field, if also suitably inject appropriate triple harmonic current in the electric current that five phase permanent magnet synchronous motor five phase stator winding flow into except main fundamental current, can improve the power density of motor.

Five phase voltage source inverter bridge can be five phase Control System of Permanent Magnet Synchronous Motor power supplies by different control strategies.Five phase voltage source inverter bridge are only to have more two brachium pontis and have five brachium pontis than three brachium pontis of three-phase voltage source inverter bridge, and each brachium pontis has the power switch pipe of reverse fly-wheel diode to form by upper and lower two endophytes.The five phase permanent magnet synchronous motor principle schematic that five phase voltage source inverter bridge drive as shown in Figure 1, at the winding axis spatial distribution map in first-harmonic space as shown in Figure 2, five phase permanent magnet synchronous motors at the winding axis spatial distribution map in triple-frequency harmonics space as shown in Figure 3 for five phase permanent magnet synchronous motors.In five phase voltage source inverter bridge, each power switch pipe is equivalent to a switch, its base stage is subject to Using dSPACE of SVPWM pulse-width modulation that algorithm generates (PWM) signal controlling, make 10 power switch pipes in not conducting or shutoff in the same time, make the output-controlled space vector voltage of five phase voltage source inverter bridge.

If the switch function of definition five phase voltage source inverter bridge is

S=[S _a,S _b,S _c,S _d,S _e] （1）

In formula, S _a, S _b, S _c, S _dand S _ebe respectively the switch element of a, b, c, d and e five phases.With element S _afor example, when upper brachium pontis transistor turns and the shutoff of lower brachium pontis transistor, definition S _abe 1, otherwise be 0.The numerical value definition mode of other elements is identical with it.

When five phase inverter bridge DC bus-bar voltage are U _dctime, a, b, c, d and e five export phase voltage u mutually _a, u _b, u _c, u _dand u _ecan be expressed as u _a=S _au _dc, u _b=S _bu _dc, u _c=S _cu _dc, u _d=S _du _dc, u _e=S _eu _dcform.Switch function has 32 kinds of situations.Five phase voltage source inverter bridge can be exported 32 controlled space voltage vectors.

In first-harmonic space, space voltage vector

for

$\begin{array}{c}{U}_{\mathrm{<figure-callout\; id="1"\; label="k"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">k</figure-callout>}}^1=\frac{2}{5}(u_a+u_b{e}^{j\frac{2\mathrm{\&pi;}}{5}}+u_c{e}^{j\frac{4\mathrm{\&pi;}}{5}}+u_{\mathrm{<figure-callout\; id="6"\; label="d\; e\; j"\; filenames="HDA0000453006360000022.png"\; state="\{\{state\}\}">d</figure-callout>}}{e}^j{\frac{6\mathrm{\&pi;}}{5}}^{}+u_{\mathrm{<figure-callout\; id="8"\; label="e\; e\; j"\; filenames="HDA0000453006360000022.png"\; state="\{\{state\}\}">e</figure-callout>}}{e}^j{\frac{8\mathrm{\&pi;}}{5}}^{})\\ =\frac{2}{5}{U}_{\mathrm{dc}}(S_a+S_b{e}^{j\frac{2\mathrm{\&pi;}}{5}}+S_c{e}^{j\frac{4\mathrm{\&pi;}}{5}}+S_{\mathrm{<figure-callout\; id="6"\; label="d\; e\; j"\; filenames="HDA0000453006360000022.png"\; state="\{\{state\}\}">d</figure-callout>}}{e}^j{\frac{6\mathrm{\&pi;}}{5}}^{}+S_{\mathrm{<figure-callout\; id="8"\; label="e\; e\; j"\; filenames="HDA0000453006360000022.png"\; state="\{\{state\}\}">e</figure-callout>}}{e}^j{\frac{8\mathrm{\&pi;}}{5}}^{})\end{array}---\left(2\right)$

In triple-frequency harmonics space, space voltage vector

for

$\begin{array}{c}{U}_{\mathrm{<figure-callout\; id="3"\; label="k"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">k</figure-callout>}}^3=\frac{2}{5}{U}_{\mathrm{dc}}(u_a+u_c{e}^{j\frac{2\mathrm{\&pi;}}{5}}+u_e{e}^{j\frac{4\mathrm{\&pi;}}{5}}+u_{\mathrm{<figure-callout\; id="6"\; label="b\; e\; j"\; filenames="HDA0000453006360000022.png"\; state="\{\{state\}\}">b</figure-callout>}}{e}^j{\frac{6\mathrm{\&pi;}}{5}}^{}+u_{\mathrm{<figure-callout\; id="8"\; label="d\; e\; j"\; filenames="HDA0000453006360000022.png"\; state="\{\{state\}\}">d</figure-callout>}}{e}^j{\frac{8\mathrm{\&pi;}}{5}}^{})\\ =\frac{2}{5}{U}_{\mathrm{dc}}(S_a+S_c{e}^{j\frac{2\mathrm{\&pi;}}{5}}+S_e{e}^{j\frac{4\mathrm{\&pi;}}{5}}+S_{\mathrm{<figure-callout\; id="6"\; label="b\; e\; j"\; filenames="HDA0000453006360000022.png"\; state="\{\{state\}\}">b</figure-callout>}}{e}^j{\frac{6\mathrm{\&pi;}}{5}}^{}+S_{\mathrm{<figure-callout\; id="8"\; label="d\; e\; j"\; filenames="HDA0000453006360000022.png"\; state="\{\{state\}\}">d</figure-callout>}}{e}^j{\frac{8\mathrm{\&pi;}}{5}}^{})\end{array}---\left(3\right)$

In formula (2) and formula (3), k is natural number, and its value is k=1,2,3 ... 31. Subscript 1 and 3 represents respectively first-harmonic space and triple-frequency harmonics space.When not emphasizing first-harmonic space or triple-frequency harmonics space, can only write subscript, do not write subscript.

According to above-mentioned definition, five phase voltage source inverter bridge can be exported 32 space voltage vectors, and the subscript of each space voltage vector is to form the decimal number that the corresponding binary switch function of this space voltage vector is converted to.In first-harmonic space and triple-frequency harmonics space, be all to have 2 Zero voltage vector U ₀and U ₃₁, 30 nonzero voltage space vectors; In these 30 nonzero voltage space vectors, according to varying in size of mould, can be divided into again three kinds: 10 little space voltage vector U _s, 10 middle space voltage vector U _mwith 10 large space voltage vector U _l.Little space voltage vector U _s, middle space voltage vector U _mwith large space voltage vector U _lmould be respectively

$U_S=\frac{4}{5}\cos \frac{2\mathrm{\&pi;}}{5}{U}_{\mathrm{dc}}=0.2472U_{\mathrm{dc}}---\left(4\right)$

$U_M=\frac{2}{5}{U}_{\mathrm{dc}}=0.4U_{\mathrm{dc}}---\left(5\right)$

$U_L=\frac{4}{5}\cos \frac{\mathrm{\&pi;}}{5}{U}_{\mathrm{dc}}=0.6472U_{\mathrm{dc}}---\left(6\right)$

The ratio of three's mould value is 1:1.618:1.618 ².

At the distribution map in first-harmonic space as shown in Figure 4,32 space voltage vectors that five phase voltage source inverter bridge can be exported at the distribution map in triple-frequency harmonics space as shown in Figure 5 for 32 space voltage vectors that five phase voltage source inverter bridge can be exported.As seen from the figure, there is such relation in 32 corresponding switch functions of switching voltage vector: for first-harmonic space, the corresponding on off state of large space voltage vector is that inverter only has the conducting simultaneously of adjacent two-phase or shutoff; The corresponding on off state of middle space voltage vector is that inverter only has one be conducted or turn-off; The on off state that little space voltage vector is corresponding is that inverter only has the conducting simultaneously of non-conterminous two-phase or shutoff.Because be inserted with the phase of not conducting between the phase of little space voltage vector conducting, this situation may cause voltage vector direction inconsistent, should avoid using them to participate in first-harmonic reference voltage vector during control as far as possible

synthetic.Large space voltage vector and the middle space voltage vector generally chosen in first-harmonic space participate in reference voltage vector

synthetic.In addition, the large space voltage vector title in first-harmonic space is consistent with the little space voltage vector title in triple-frequency harmonics space; Middle space voltage vector title in two spaces is consistent; Little space voltage vector in first-harmonic space is consistent with the large space voltage vector in triple-frequency harmonics space.Above-mentioned three kinds of situations are that title is consistent, not identical in the position in two spaces.Zero voltage vector in two spaces is all located at zero point.For first-harmonic space, the space that adjacent two large space voltage vectors surround if define is a sector, and space one is divided into 10 sectors, with 10 greek numerals such as I～X, represents respectively 10 this time adjacent sectors.In sector, same first-harmonic space, adjacent two large space voltage vectors with

between space angle be π/5 electrical degree,

in advance

space, π/5 electrical degree; Adjacent two middle space voltage vectors

with between space angle be also π/5 electrical degree,

also leading space, π/5 electrical degree;

with

with

direction is identical.

The core of space vector pulse width modulatio algorithm proposed by the invention is exactly, when first-harmonic reference voltage vector

while dropping on a certain sector, first-harmonic space, in first-harmonic space, only choose two large space voltage vectors that surround this sector

with and two middle space voltage vectors

with

synthesize first-harmonic reference voltage vector

two large space voltage vectors that first-harmonic space is selected

with

and two middle space voltage vectors

with

in triple-frequency harmonics space, but change correspondingly two little space voltage vectors into with

and two middle space voltage vectors

with

at two selected little space voltage vectors of triple-frequency harmonics space utilization

with and two middle space voltage vectors with

synthesize triple-frequency harmonics reference voltage vector

due to triple-frequency harmonics georeferencing voltage vector

rotary speed be reference voltage vector in fundamental voltage space three times of rotary speed, therefore

space bit angle setting be

three times of position angle.Can draw thus interior two the middle space voltage vectors in an arbitrary sector (take I sector as example) in first-harmonic space as shown in Figure 6

with

with two large space voltage vectors

with

synthetic first-harmonic reference voltage vector

schematic diagram, and two middle space voltage vectors in triple-frequency harmonics space utilization and first-harmonic space (take I sector as example) as shown in Figure 7

with corresponding middle space voltage vector with

two large space voltage vectors with first-harmonic space (take I sector as example)

with

corresponding little space voltage vector with synthesize triple-frequency harmonics reference voltage vector

schematic diagram.

For each sector, first-harmonic space, in first-harmonic space, with

two direction vectors are consistent,

with

two direction vectors are consistent, in advance

space electrical degree be π/5,

in advance

space electrical degree be δ, in advance

space electrical degree be ε, and

δ+ε=π/5 （7）

At triple-frequency harmonics ripple space, middle space voltage vector

with little space voltage vector

direction vector contrary, middle space voltage vector

with little space voltage vector

direction vector contrary, middle space voltage vector

space voltage vector in leading

space electrical degree be 3 π/5, little space voltage vector

leading little space voltage vector

space electrical degree be 3 π/5, triple-frequency harmonics reference voltage vector leading little space voltage vector space electrical degree be λ, middle space voltage vector

leading triple-frequency harmonics reference voltage vector

space electrical degree be μ, and

λ+μ=3π/5 （8）

Surround 10Ge sector, first-harmonic space each sector 6 space voltage vectors and with these 6 space voltage vectors in triple-frequency harmonics space corresponding 6 space voltage vectors as shown in table 1.

Table 1

If switch control cycle is T _s, by Fig. 4, Fig. 5 and Shi (7), can set up first-harmonic reference voltage vector

with Zero voltage vector (U ₀and U ₃₁), the middle space voltage vector in two, first-harmonic space

with

and two large space voltage vectors

with

t action time ₀, t ₁, t ₂, t ₃and t ₄between relational expression; Meanwhile, also can set up triple-frequency harmonics georeferencing voltage vector

with Zero voltage vector (U ₀and U ₃₁), the middle space voltage vector in two, triple-frequency harmonics space

with

and two little space voltage vectors

with

t action time ₀, t ₁, t ₂, t ₃and t ₄between relational expression.

By parallelogram law, in first-harmonic space, following equation is set up

$\left|{\mathrm{<figure-callout\; id="1"\; label="U\; M"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_M^{}\right|{\mathrm{<figure-callout\; id="1"\; label="t"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">t</figure-callout>}}_1+\left|{\mathrm{<figure-callout\; id="1"\; label="U\; L"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_L^{}\right|{\mathrm{<figure-callout\; id="3"\; label="t"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">t</figure-callout>}}_3=\frac{\sin \mathrm{\&epsiv;}}{\sin (\mathrm{\&pi;}/5)}\left|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\right|T_s---\left(9\right)$

$\left|U_{M+1}^1\right|t_2+\left|U_{L+1}^1\right|t_4=\frac{\sin \mathrm{\&delta;}}{\sin (\mathrm{\&pi;}/5)}\left|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\right|T_s---\left(10\right)$

In triple-frequency harmonics space, following equation is set up

$\left|{\mathrm{<figure-callout\; id="3"\; label="U\; S"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_S^{}\right|t_3-\left|{\mathrm{<figure-callout\; id="3"\; label="U\; M"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_M^{}\right|{\mathrm{<figure-callout\; id="1"\; label="t"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">t</figure-callout>}}_1=\frac{\sin \mathrm{\&mu;}}{\sin (3\mathrm{\&pi;}/5)}\left|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\right|T_s---\left(11\right)$

$\left|U_{S+1}^3\right|t_4-\left|U_{M+1}^3\right|t_2=\frac{\sin \mathrm{\&lambda;}}{\sin (3\mathrm{\&pi;}/5)}\left|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\right|T_s---\left(12\right)$

By formula (4), formula (5), formula (6), formula (9), formula (10), formula (11) and formula (12), can be solved

${\mathrm{<figure-callout\; id="1"\; label="t"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">t</figure-callout>}}_1=\frac{T_s}{U_{\mathrm{dc}}}\left(1.1756\right|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}|\sin \mathrm{\&epsiv;}-1.9022|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\left|\sin \mathrm{\&mu;}\right)---\left(13\right)$

$t_2=\frac{T_s}{U_{\mathrm{dc}}}\left(1.1756\right|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}|\sin \mathrm{\&delta;}-1.9022|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\left|\sin \mathrm{\&lambda;}\right)---\left(14\right)$

${\mathrm{<figure-callout\; id="3"\; label="t"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">t</figure-callout>}}_3=\frac{T_s}{U_{\mathrm{dc}}}(1.9022|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}|\sin \mathrm{\&epsiv;}+1.1756|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\left|\sin \mathrm{\&mu;}\right)---\left(15\right)$

$t_4=\frac{T_s}{U_{\mathrm{dc}}}(1.9022|{\mathrm{<figure-callout\; id="1"\; label="U\; ref"\; filenames="HDA0000453006360000032.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}|\sin \mathrm{\&delta;}+1.1756|{\mathrm{<figure-callout\; id="3"\; label="U\; ref"\; filenames="HDA0000453006360000013.png,HDA0000453006360000022.png"\; state="\{\{state\}\}">U</figure-callout>}}_{\mathrm{ref}}^{}\left|\sin \mathrm{\&lambda;}\right)---\left(16\right)$

t ₀=T _s-t ₁-t ₂-t ₃-t ₄ （17）

The DSP of five phase Control System of Permanent Magnet Synchronous Motor inside implements to obtain according to the control strategy of control system the first-harmonic georeferencing voltage vector that five phase inverter bridge should be exported with the reference voltage vector in triple-frequency harmonics space

dSP is according to first-harmonic georeferencing voltage vector

with the reference voltage vector in triple-frequency harmonics space

according to formula (13), formula (14), formula (15), formula (16) and formula (17), calculate t action time of two adjacent middle space voltage vectors of selected first-harmonic space, adjacent two large space voltage vectors and Zero voltage vector ₁, t ₂, t ₃, t ₄and t ₀.In each control cycle, control corresponding power switch pipe and turn on and off the lasting t of corresponding space voltage vector that makes inverter output ₁, t ₂, t ₃, t ₄and t ₀time, five phase permanent magnet synchronous motor stators just can obtain the operating voltage consistent with reference voltage vector, five phase permanent magnet synchronous motor even runnings.

Take the first sector as example, and for reducing switching loss, in each control cycle, each power switch pipe only turns on and off once, and while not refering in particular to the space voltage vector in first-harmonic space and triple-frequency harmonics space, the sequencing of space voltage vector effect is U ₀, U ₁₆, U ₂₄, U ₂₅, U ₂₉, U ₃₁, U ₃₁, U ₂₉, U ₂₅, U ₂₄, U ₁₆, U ₀.Corresponding PWM waveform as shown in Figure 8.

When the pwm pulse obtaining according to the Using dSPACE of SVPWM algorithm of above-mentioned first-harmonic and triple-frequency harmonics when five phase Control System of Permanent Magnet Synchronous Motors is controlled five phase voltage source inverter bridge, the space voltage vector of five phase voltage source inverter bridge output first-harmonics and triple-frequency harmonics is simultaneously controlled, five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current are indirectly controlled, five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current are acted on respectively by controlling requirement and epitrochanterian first-harmonic and triple-frequency harmonics permanent magnetic field, improve motor-output, reduce stator current peak value.

Claims (1)

1. five phase voltage source inverter bridge Using dSPACE of SVPWM algorithms, is characterized in that:

When first-harmonic reference voltage vector while dropping on a certain sector, first-harmonic space, in first-harmonic space, choose two large space voltage vectors that surround this sector

with

and two middle space voltage vectors

with

synthesize first-harmonic reference voltage vector

By two selected large space voltage vectors of first-harmonic space

with

and two middle space voltage vectors

with

in triple-frequency harmonics space, change correspondingly two little space voltage vectors into

with

and two middle space voltage vectors

with

At two selected little space voltage vectors of triple-frequency harmonics space utilization with

and two middle space voltage vectors with

synthesize triple-frequency harmonics reference voltage vector

In first-harmonic space, large space voltage vector

with middle space voltage vector

direction vector consistent, large space voltage vector

with middle space voltage vector direction vector consistent, wherein, large space voltage vector

leading large space voltage vector

space electrical degree be π/5, first-harmonic reference voltage vector

leading large space voltage vector

space electrical degree be δ, first-harmonic reference voltage vector

leading large space voltage vector

space electrical degree be ε, δ+ε=π/5;

At triple-frequency harmonics ripple space, middle space voltage vector with little space voltage vector

direction vector contrary, middle space voltage vector

with little space voltage vector

direction vector contrary, middle space voltage vector space voltage vector in leading space electrical degree be 3 π/5, little space voltage vector leading little space voltage vector

space electrical degree be 3 π/5, triple-frequency harmonics reference voltage vector leading little space voltage vector

space electrical degree be λ, middle space voltage vector

leading triple-frequency harmonics reference voltage vector

space electrical degree be μ, π/5, λ+μ=3;

In five phase voltage source inverter bridge DC bus-bar voltage, be U _dc, switch control cycle is T _ssituation under, when first-harmonic reference voltage vector

while dropping on a certain sector, in order to generate first-harmonic reference voltage vector

with triple-frequency harmonics reference voltage vector

surround this sector:

Middle space voltage vector with middle space voltage vector

the time of effect is respectively t ₁and t ₂,

Large space voltage vector

with large space voltage vector the time of effect is respectively t ₃and t ₄,

The Zero voltage vector U inserting ₀with Zero voltage vector U ₃₁coefficient time t ₀,

Respectively according to following various calculating:

$t_1=\frac{T_s}{U_{\mathrm{dc}}}\left(1.1756\right|U_{\mathrm{ref}}^1|\sin \mathrm{\&epsiv;}-1.9022|U_{\mathrm{ref}}^3\left|\sin \mathrm{\&mu;}\right)$

$t_2=\frac{T_s}{U_{\mathrm{dc}}}\left(1.1756\right|U_{\mathrm{ref}}^1|\sin \mathrm{\&delta;}-1.9022|U_{\mathrm{ref}}^3\left|\sin \mathrm{\&lambda;}\right)$

$t_3=\frac{T_s}{U_{\mathrm{dc}}}(1.9022|U_{\mathrm{ref}}^1|\sin \mathrm{\&epsiv;}+1.1756|U_{\mathrm{ref}}^3\left|\sin \mathrm{\&mu;}\right)$

$t_4=\frac{T_s}{U_{\mathrm{dc}}}(1.9022|U_{\mathrm{ref}}^1|\sin \mathrm{\&delta;}+1.1756|U_{\mathrm{ref}}^3\left|\sin \mathrm{\&lambda;}\right)$

t ₀=T _s-t ₁-t ₂-t ₃-t ₄

The time that five phase voltage source inverter bridge are calculated gained as stated above applies space voltage vector, when realizing the first-harmonic of five phase voltage source inverter bridge outputs and triple-frequency harmonics space voltage vector, control, five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current are indirectly controlled, five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current are acted on respectively by controlling requirement and epitrochanterian first-harmonic and triple-frequency harmonics permanent magnetic field, thereby raising motor-output, reduces stator current peak value.

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