CN103715973B - A kind of five phase voltage source inverter bridge Using dSPACE of SVPWM algorithms - Google Patents

Abstract

The invention discloses a kind of five phase voltage source inverter bridge Using dSPACE of SVPWM algorithms that simultaneously can control first-harmonic and triple-frequency harmonics output.When first-harmonic reference voltage vector drops on a certain sector of first harmonic spatial, only choose surround this sector two large space voltage vectors and two middle space voltage vectors to synthesize first-harmonic reference voltage vector; The selected big or middle space voltage vector of first harmonic spatial is but little, middle space voltage vector in triple-frequency harmonics space, synthesizes triple-frequency harmonics reference voltage vector at this little, middle space voltage vector of triple-frequency harmonics space utilization.The action time of first harmonic spatial two middle space voltage vectors, two large space voltage vectors and the suitable Zero voltage vector inserted is obtained according to parallelogram rule.Indirectly make five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current act on respectively by control overflow and epitrochanterian first-harmonic and triple-frequency harmonics permanent magnetic field, both improved motor-output, and stator current peak value can be reduced again.

Description

A Five-phase Voltage Source Inverter Bridge Space Voltage Vector Pulse Width Modulation Algorithm

technical field

The invention relates to a five-phase voltage source inverter bridge space voltage vector pulse width modulation control technology. In particular, it relates to a five-phase voltage source inverter bridge space voltage vector pulse width modulation algorithm capable of simultaneously controlling fundamental wave and third harmonic output.

Background technique

The five-phase voltage source inverter bridge only has two more bridge arms than the three bridge arms of the three-phase voltage source inverter bridge and has five bridge arms. The five-phase voltage source inverter bridge can supply power for the five-phase permanent magnet synchronous motor control system according to different control strategies. Since the permanent magnet rotor magnetic field of some five-phase permanent magnet synchronous motors contains a higher third harmonic permanent magnet magnetic field, if the current flowing into the five-phase stator winding of the five-phase permanent magnet synchronous motor is properly injected with an appropriate amount of current in addition to the fundamental current The third harmonic current, the third harmonic current and the third harmonic permanent magnet magnetic field interact to increase the output of the motor, and at the same time, because the stator current waveform after the superposition of the fundamental current and the third harmonic current is similar to a flat-top wave, the peak value of the stator current becomes smaller, and reduces the maximum current of the power switch tube in the inverter bridge, which facilitates the selection of a power switch tube with a smaller rated current. At this time, the five-phase voltage source inverter bridge is required to be able to control the space voltage vector of its output fundamental wave and third harmonic at the same time, so that the fundamental current and third harmonic current of the five-phase permanent magnet synchronous motor can be effectively obtained according to the control strategy. control. At present, the output space voltage vector pulse width modulation algorithm of the five-phase voltage source inverter bridge mainly includes the nearest two-vector space voltage vector pulse width modulation algorithm and the nearest four-vector space voltage vector pulse width modulation algorithm.

The recent two-vector space voltage vector pulse width modulation algorithm simply migrates the three-phase space voltage vector pulse width modulation algorithm to the five-phase system. The two "large space voltage vectors" in the area are used to synthesize the fundamental wave reference voltage vector. This method only considers the synthesis effect of the fundamental reference voltage to be obtained, but does not consider the synthesis result of the used space voltage vector in the third harmonic space at all. According to this algorithm, when the five-phase voltage source inverter bridge is controlled by the two "large space voltage vectors" surrounding the sector, the voltage vector synthesized by the space voltage vector in the third harmonic space is uncontrolled. Neither size nor spatial location could be determined.

The recent four-vector space voltage vector pulse width modulation algorithm has taken into account that the five-phase system has more available space voltage vectors, and the algorithm obtained by combining the characteristics of the five-phase system has made great progress compared with the recent two-vector SVPWM algorithm, but , so that the third harmonic output is zero. Its control algorithm is, in the fundamental wave space, when the reference voltage falls in a certain sector, select two large space vectors and two medium space vectors surrounding the sector to synthesize the reference voltage vector; In the harmonic space, let the resultant vector of four selected space voltage vectors be zero. In this way, when controlling the five-phase permanent magnet synchronous motor, it is impossible to effectively utilize the third harmonic permanent magnet magnetic field of the motor rotor to generate more force.

Contents of the invention

In order to solve the above technical deficiencies, the present invention provides a space voltage vector pulse width modulation algorithm capable of simultaneously controlling the output fundamental wave and third harmonic of a five-phase voltage source inverter bridge.

A space voltage vector pulse width modulation algorithm capable of simultaneously controlling the output fundamental wave and the third harmonic of the five-phase voltage source inverter bridge of the present invention is, when the fundamental wave reference voltage vector When it falls in a sector of the fundamental wave space, select two large space voltage vectors enclosing the sector in the fundamental wave space and and the two space voltage vectors and to synthesize the fundamental reference voltage vector The two large space voltage vectors that will be selected from the fundamental space and and the two space voltage vectors and One-to-one correspondence in the third harmonic space transforms into two small space voltage vectors and and the two space voltage vectors and In the third harmonic space, using the selected two small space voltage vectors and and the two space voltage vectors and to synthesize the third harmonic reference voltage vector In the fundamental space, the large space voltage vector and the space voltage vector The direction of the vector is the same, the large space voltage vector and the space voltage vector The direction of the vectors is the same, among them, the large space voltage vector Leading large space voltage vector The space electrical angle is π/5, the fundamental wave reference voltage vector Leading large space voltage vector The space electrical angle is δ, and the large space voltage vector Leading Fundamental Reference Voltage Vector The space electrical angle of ε is ε, δ+ε=π/5; in the third harmonic wave space, the space voltage vector and small space voltage vector The direction of the vector is opposite, the space voltage vector and small space voltage vector The direction of the vector is opposite, the space voltage vector space voltage vector in advance The space electrical angle is 3π/5, the small space voltage vector Leading small space voltage vector The space electrical angle is 3π/5, the third harmonic reference voltage vector Leading small space voltage vector The space electrical angle is λ, and the small space voltage vector Leading third harmonic reference voltage vector The space electrical angle of is μ, λ+μ=3π/5.

Under the condition that the DC bus voltage of the five-phase voltage source inverter bridge is U _dc and the switch control period is T _s , when the fundamental wave reference voltage vector When it falls in a certain sector, in order to generate the fundamental wave reference voltage vector and the third harmonic reference voltage vector Enclosing the sector: medium space voltage vector and the space voltage vector The acting time is t ₁ and t ₂ respectively, the large space voltage vector and large space voltage vector The action time is respectively t ₃ and t ₄ , and the time t ₀ of the joint action of the inserted zero voltage vector U ₀ and zero voltage vector U ₃₁ , which are calculated according to the following formulas:

${\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1.1756</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&epsiv;</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1.9022</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&mu;</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1.1756</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&delta;</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1.9022</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&lambda;</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1.9022</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&epsiv;</span>}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 1.1756</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&mu;</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1.9022</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&delta;</span>}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 1.1756</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&lambda;</span>}<span\; class="notranslate">\; )</span>$

t ₀ =T _s -t ₁ -t ₂ -t ₃ -t ₄

The five-phase voltage source inverter bridge calculates the time-applied space voltage vector according to the above method to realize the simultaneous control of the fundamental wave and the third harmonic space voltage vector output by the five-phase voltage source inverter bridge, and the stator current of the five-phase permanent magnet synchronous motor The fundamental wave and the third harmonic current are indirectly controlled, so that the fundamental wave and the third harmonic current of the stator current of the five-phase permanent magnet synchronous motor act on the fundamental wave and the third harmonic permanent magnet magnetic field on the rotor according to the control requirements, thereby improving the performance of the motor. output to reduce the peak value of the stator current.

Description of drawings

Fig. 1 is the principle schematic diagram of the five-phase permanent magnet synchronous motor driven by the five-phase voltage source inverter bridge involved in the present invention;

Fig. 2 is the spatial distribution diagram of the winding axis of the five-phase permanent magnet synchronous motor involved in the present invention in the fundamental wave space;

Fig. 3 is the spatial distribution diagram of the winding axis of the five-phase permanent magnet synchronous motor involved in the present invention in the third harmonic space;

Fig. 4 is the distribution diagram of 32 space voltage vectors that the five-phase voltage source inverter bridge involved in the present invention can output in fundamental wave space;

Fig. 5 is the distribution diagram of 32 space voltage vectors that the five-phase voltage source inverter bridge involved in the present invention can output in the third harmonic space;

Fig. 6 is the schematic diagram of two medium space voltage vectors and two large space voltage vectors synthesizing fundamental wave reference voltage vectors in a sector (the 1st sector) of fundamental wave space involved in the present invention;

Fig. 7 is two medium space voltage vectors (still being medium space voltage vectors in the third harmonic space) and two medium space voltage vectors in a sector (the 1st sector) of the fundamental wave space utilized in the third harmonic space that the present invention relates to The principle diagram of synthesizing the third harmonic reference voltage vector with large space voltage vector (in the third harmonic space but small space voltage vector);

Fig. 8 is a time sequence diagram for generating space voltage vector pulse width modulation pulses when the fundamental wave reference voltage vector is in the first sector to ensure the minimum switching loss of the power switch tube involved in the present invention.

detailed description

The space voltage vector pulse width modulation algorithm capable of simultaneously controlling the output fundamental wave and the third harmonic of the five-phase voltage source inverter bridge of the present invention will be described in detail below in conjunction with the embodiments and drawings.

The permanent magnet rotor magnetic field of a five-phase permanent magnet synchronous motor generally contains a relatively high third harmonic magnetic field. The wave current can increase the power density of the motor.

The five-phase voltage source inverter bridge can supply power for the five-phase permanent magnet synchronous motor control system according to different control strategies. The five-phase voltage source inverter bridge has only two more bridge arms than the three bridge arms of the three-phase voltage source inverter bridge, and has five bridge arms. Each bridge arm has two internal parasitics with reverse freewheeling The power switch tube of the diode constitutes. The principle diagram of the five-phase permanent magnet synchronous motor driven by the inverter bridge of the five-phase voltage source is shown in Figure 1. The spatial distribution of the winding axis of the five-phase permanent magnet synchronous motor in the fundamental space is shown in Figure 2. The spatial distribution diagram of the winding axis of the motor in the third harmonic space is shown in Figure 3. In the five-phase voltage source inverter bridge, each power switch tube is equivalent to a switch, and its base is controlled by the pulse width modulation (PWM) signal generated by the space voltage vector pulse width modulation algorithm, so that the 10 power switch tubes at different times Turn on or turn off, so that the five-phase voltage source inverter bridge outputs a controlled space vector voltage.

If the switching function of the five-phase voltage source inverter bridge is defined as

S=[S _a , S _b , S _c , S _d , S _e ] (1) In the formula, S _a , S _b , S _c , S _d and Se are respectively a, b, c, d and _e5 Phase switching elements. Taking the element S _a as an example, when the upper bridge arm transistor is turned on and the lower bridge arm transistor is turned off, define _Sa as 1, otherwise it is 0. The values of other elements are defined in the same way.

When the DC bus voltage of the five-phase inverter bridge is U _dc , the five-phase output phase voltages u _a , u _b , u _c , u _d and u _e of a, b, c, d and e can be expressed as u _a = S _a The form of U _dc , u _b = S _b U _dc , u _c = S _c U _dc , u _d = S _d U _dc , _{ue = S e U dc} . There are 32 cases in the switch function. The five-phase voltage source inverter bridge can output 32 controlled space voltage vectors.

In the fundamental space, the space voltage vector for

$\begin{array}{c}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; k</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 2</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; a</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; b</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; c</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 4</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 6</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; e</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 8</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; )</span>\\ <span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 2</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; b</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; c</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 4</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 6</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; e</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 8</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; )</span>\end{array}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 2</span>}<span\; class="notranslate">\; )</span>$

In the third harmonic space, the space voltage vector for

$\begin{array}{c}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; k</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 2</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; a</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; c</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; e</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 4</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; b</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 6</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 8</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; )</span>\\ <span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 2</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; (</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; a</span>}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; c</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; e</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 4</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; b</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 6</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; +</span>{\mathrm{<span\; class="notranslate">\; S</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}}{\mathrm{<span\; class="notranslate">\; e</span>}}^{\mathrm{<span\; class="notranslate">\; j</span>}\frac{\mathrm{<span\; class="notranslate">\; 8</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}}<span\; class="notranslate">\; )</span>\end{array}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 3</span>}<span\; class="notranslate">\; )</span>$

In formula (2) and formula (3), k is a natural number, and its value is k=1, 2, 3...31. Superscripts 1 and 3 represent the fundamental space and the third harmonic space, respectively. When not emphasizing the fundamental space or the third harmonic space, you can only write subscripts, not superscripts.

According to the above definition, the five-phase voltage source inverter bridge can output 32 space voltage vectors, and the subscript of each space voltage vector is the decimal number converted from the binary switching function corresponding to the space voltage vector. There are two zero voltage vectors U ₀ and U ₃₁ in both the fundamental wave space and the third harmonic space, and 30 non-zero voltage vectors; in these 30 non-zero voltage vectors, according to the size of the mode, they can be divided into There are three types: 10 small space voltage vectors U _S , 10 medium space voltage vectors U _M and 10 large space voltage vectors _UL . The moduli of the small space voltage vector U _S , the medium space voltage vector U _M and the large space voltage vector U _L are respectively

${\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; S</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}\mathrm{<span\; class="notranslate">\; c</span>}\mathrm{<span\; class="notranslate">\; o</span>}\mathrm{<span\; class="notranslate">\; the\; s</span>}\frac{\mathrm{<span\; class="notranslate">\; 2</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0.2472</span>}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 4</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 2</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0.4</span>}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; L</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; 4</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}\mathrm{<span\; class="notranslate">\; c</span>}\mathrm{<span\; class="notranslate">\; o</span>}\mathrm{<span\; class="notranslate">\; the\; s</span>}\frac{\mathrm{<span\; class="notranslate">\; \&pi;</span>}}{\mathrm{<span\; class="notranslate">\; 5</span>}}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; =</span>\mathrm{<span\; class="notranslate">\; 0.6472</span>}{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 6</span>}<span\; class="notranslate">\; )</span>$

The ratio of the modulus values of the three is 1:1.618:1.618 ² .

The distribution diagram of the 32 space voltage vectors that can be output by the five-phase voltage source inverter bridge in the fundamental space is shown in Figure 4. The distribution of the 32 space voltage vectors that can be output by the five-phase voltage source inverter bridge in the third harmonic space The graph is shown in Figure 5. It can be seen from the figure that the switching functions corresponding to the 32 switching voltage vectors have such a relationship: for the fundamental wave space, the switching state corresponding to the large space voltage vector is that only two adjacent phases of the inverter are on or off at the same time ; The switch state corresponding to the medium space voltage vector is that only one phase of the inverter is turned on or off; the switch state corresponding to the small space voltage vector is that only two non-adjacent phases of the inverter are turned on or off at the same time. Because there are non-conducting phases inserted between the conducting phases of the small space voltage vector, this situation may lead to inconsistencies in the direction of the voltage vectors, and they should be avoided to participate in the fundamental reference voltage vector during control. Synthesis. Generally, the large space voltage vector and medium space voltage vector in the fundamental wave space are selected to participate in the reference voltage vector Synthesis. In addition, the name of the large space voltage vector in the fundamental space is consistent with the name of the small space voltage vector in the third harmonic space; the name of the middle space voltage vector in the two spaces is consistent; the small space voltage vector in the fundamental space is the same as the third Large space voltage vectors coincide in space. The above three cases are only the same in name, and the positions in the two spaces are not the same. The zero voltage vectors in both spaces are at zero. For the fundamental wave space, if the space surrounded by two adjacent large space voltage vectors is defined as a sector, the space is divided into 10 sectors in total, and 10 Greek numbers such as I~X are used to represent this time 10 adjacent sectors. In the same fundamental space sector, two adjacent large space voltage vectors and The included space angle between them is π/5 electrical angle, advanced Space electrical angle; two adjacent space voltage vectors and The included angle between the spaces is also π/5 electrical angle, also ahead Space electrical angle; that is and and same direction.

The core of the space voltage vector pulse width modulation algorithm proposed by the present invention is that when the fundamental wave reference voltage vector When it falls in a sector of the fundamental wave space, only two large space voltage vectors enclosing the sector are selected in the fundamental wave space and and the two space voltage vectors and to synthesize the fundamental reference voltage vector Two large space voltage vectors selected in the fundamental space and and the two space voltage vectors and In the third harmonic space, it is converted into two small space voltage vectors one by one and and the two space voltage vectors and In the third harmonic space, using the selected two small space voltage vectors and and the two space voltage vectors and to synthesize the third harmonic reference voltage vector Due to the third harmonic space reference voltage vector The rotational speed of is the reference voltage vector in the fundamental voltage space three times the rotation speed, so The spatial position angle of is Three times the position angle. Thus, two medium-space voltage vectors in any sector of the fundamental space (taking the I sector as an example) as shown in Figure 6 can be drawn and with two large space voltage vectors and Synthetic fundamental wave reference voltage vector The schematic diagram, and as shown in Figure 7 in the third harmonic space utilization and fundamental wave space (taking the first sector as an example) two space voltage vectors and The corresponding space voltage vector and Two large space voltage vectors with the fundamental wave space (taking sector I as an example) and The corresponding small space voltage vector and to synthesize the third harmonic reference voltage vector The schematic diagram.

For each sector of the fundamental space, in the fundamental space, and The two vectors are in the same direction, and The two vectors are in the same direction, advanced The space electrical angle is π/5, advanced The space electrical angle of is δ, advanced The space electrical angle of is ε, and

δ+ε=π/5(7)

In the third harmonic wave space, the space voltage vector and small space voltage vector The direction of the vector is opposite, the space voltage vector and small space voltage vector The direction of the vector is opposite, the space voltage vector space voltage vector in advance The space electrical angle is 3π/5, the small space voltage vector Leading small space voltage vector The space electrical angle is 3π/5, the third harmonic reference voltage vector Leading small space voltage vector The space electrical angle is λ, and the space voltage vector Leading third harmonic reference voltage vector The space electrical angle of is μ, and

λ+μ=3π/5(8)

Table 1 shows the 6 space voltage vectors of each of the 10 sectors surrounding the fundamental wave space and the 6 space voltage vectors corresponding to the 6 space voltage vectors in the third harmonic space.

Table 1

Assuming that the switch control cycle is T _s , the fundamental wave reference voltage vector can be established from Figure 4, Figure 5 and Equation (7) and zero voltage vectors (U ₀ and U ₃₁ ), two medium space voltage vectors in the fundamental space and and two large space voltage vectors and The relationship between the action time t ₀ , t ₁ , t ₂ , t ₃ and t ₄ ; at the same time, the third harmonic space reference voltage vector can also be established and zero voltage vectors (U ₀ and U ₃₁ ), two space voltage vectors in the third harmonic space and and two small space voltage vectors and The relationship between the action time t ₀ , t ₁ , t ₂ , t ₃ and t ₄ .

By the parallelogram law, the following equation holds in the fundamental space

$<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; L</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&epsiv;</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; \&pi;</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; )</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 9</span>}<span\; class="notranslate">\; )</span>$

$<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; +</span><span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; L</span>}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&delta;</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; \&pi;</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; )</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 10</span>}<span\; class="notranslate">\; )</span>$

In the third harmonic space the following equation holds

$<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; S</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&mu;</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 3</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; )</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 11</span>}<span\; class="notranslate">\; )</span>$

$<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; S</span>}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; m</span>}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 1</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; =</span>\frac{\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&lambda;</span>}}{\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 3</span>}\mathrm{<span\; class="notranslate">\; \&pi;</span>}<span\; class="notranslate">\; /</span>\mathrm{<span\; class="notranslate">\; 5</span>}<span\; class="notranslate">\; )</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}<span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 12</span>}<span\; class="notranslate">\; )</span>$

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

${\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1.1756</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&epsiv;</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1.9022</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&mu;</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 13</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 2</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1.1756</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&delta;</span>}<span\; class="notranslate">\; -</span>\mathrm{<span\; class="notranslate">\; 1.9022</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&lambda;</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 14</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1.9022</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&epsiv;</span>}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 1.1756</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&mu;</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 15</span>}<span\; class="notranslate">\; )</span>$

${\mathrm{<span\; class="notranslate">\; t</span>}}_{\mathrm{<span\; class="notranslate">\; 4</span>}}<span\; class="notranslate">\; =</span>\frac{{\mathrm{<span\; class="notranslate">\; T</span>}}_{\mathrm{<span\; class="notranslate">\; the\; s</span>}}}{{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; d</span>}\mathrm{<span\; class="notranslate">\; c</span>}}}<span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 1.9022</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 1</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&delta;</span>}<span\; class="notranslate">\; +</span>\mathrm{<span\; class="notranslate">\; 1.1756</span>}<span\; class="notranslate">\; |</span>{\mathrm{<span\; class="notranslate">\; u</span>}}_{\mathrm{<span\; class="notranslate">\; r</span>}\mathrm{<span\; class="notranslate">\; e</span>}\mathrm{<span\; class="notranslate">\; f</span>}}^{\mathrm{<span\; class="notranslate">\; 3</span>}}<span\; class="notranslate">\; |</span>\mathrm{<span\; class="notranslate">\; the\; s</span>}\mathrm{<span\; class="notranslate">\; i</span>}\mathrm{<span\; class="notranslate">\; no</span>}\mathrm{<span\; class="notranslate">\; \&lambda;</span>}<span\; class="notranslate">\; )</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; -</span><span\; class="notranslate">\; (</span>\mathrm{<span\; class="notranslate">\; 16</span>}<span\; class="notranslate">\; )</span>$

t ₀ =T _s -t ₁ -t ₂ -t ₃ -t ₄ (17)

The DSP inside the five-phase permanent magnet synchronous motor control system is implemented according to the control strategy of the control system to obtain the fundamental wave space reference voltage vector that the five-phase inverter bridge should output and the reference voltage vector in the third harmonic space DSP based on fundamental wave spatial reference voltage vector and the reference voltage vector in the third harmonic space According to formula (13), formula (14), formula (15), formula (16) and formula (17), calculate the two adjacent medium space voltage vectors and two adjacent large space voltage vectors of the selected fundamental wave space And the action time t ₁ , t ₂ , t ₃ , t ₄ and t ₀ of the zero voltage vector. In each control cycle, the corresponding power switch is controlled to be turned on and off so that the corresponding space voltage vector output by the inverter lasts for t ₁ , t ₂ , t ₃ , t ₄ and t ₀ , and the stator of the five-phase permanent magnet synchronous motor is The working voltage consistent with the reference voltage vector can be obtained, and the five-phase permanent magnet synchronous motor runs smoothly.

Taking the first sector as an example, in order to reduce switching loss, each power switch tube is turned on and off only once in each control cycle, not specifically referring to the space voltage vector of the fundamental wave space and the third harmonic space, the space voltage vector The sequence of action 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 . The corresponding PWM waveform is shown in Figure 8.

When the five-phase permanent magnet synchronous motor control system controls the five-phase voltage source inverter bridge according to the PWM pulse obtained by the space voltage vector pulse width modulation algorithm of the above-mentioned fundamental wave and the third harmonic, the five-phase voltage source inverter bridge outputs the fundamental wave The space voltage vector of the five-phase permanent magnet synchronous motor and the third harmonic are controlled simultaneously. It is required to act separately with the fundamental wave and the third harmonic permanent magnet magnetic field on the rotor to increase the output of the motor and reduce the peak value of the stator current.

Claims (1)

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

When first-harmonic reference voltage vector when dropping on a certain sector of first harmonic spatial, choose two the large space voltage vectors surrounding this sector at first harmonic spatial with and two middle space voltage vectors with synthesize first-harmonic reference voltage vector

By selected for first harmonic spatial two large space voltage vectors with and two middle space voltage vectors with two little space voltage vectors are changed correspondingly in triple-frequency harmonics space with and two middle space voltage vectors with

At two little space voltage vectors that triple-frequency harmonics space utilization is selected with and two middle space voltage vectors with synthesize triple-frequency harmonics reference voltage vector

At first harmonic spatial, 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 advanced large space voltage vector space electrical degree be π/5, first-harmonic reference voltage vector advanced large space voltage vector space electrical degree be δ, large space voltage vector advanced first-harmonic reference voltage vector space electrical degree be ε, δ+ε=π/5;

In 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 advanced space electrical degree be 3 π/5, little space voltage vector advanced little space voltage vector space electrical degree be 3 π/5, triple-frequency harmonics reference voltage vector advanced little space voltage vector space electrical degree be λ, middle space voltage vector advanced triple-frequency harmonics reference voltage vector space electrical degree be π/5, μ, λ+μ=3;

Be U in five phase voltage source inverter bridge DC bus-bar voltage _dc, the switch control rule cycle is T _swhen, when first-harmonic reference voltage vector when 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 inserted ₀with Zero voltage vector U ₃₁coefficient time t ₀,

Respectively according to following various calculating:

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

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

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

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

t ₀＝T _s-t ₁-t ₂-t ₃-t ₄

The time that five phase voltage source inverter bridge calculate gained as stated above applies space voltage vector, control while realizing first-harmonic that five phase voltage source inverter bridge export and triple-frequency harmonics space voltage vector, five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current are controlled indirectly, five phase permanent magnet synchronous motor stator current first-harmonics and triple harmonic current are acted on respectively by control overflow and epitrochanterian first-harmonic and triple-frequency harmonics permanent magnetic field, thus raising motor-output, reduce stator current peak value.