The present application claims priority to Chinese Patent Application No. 202110906253.5; Filed Aug. 9, 2021, entitled THREE-PHASE INVERTER CONTROL SYSTEM AND THREE-PHASE INVERTER CONTROL METHOD that is incorporated herein by reference in its entirety.
The present invention belongs to the field of inverters, and in particular relates to a control system and a control method for a three-phase inverter.
An inverter is a converter that converts DC electric energy of battery, storage battery, and the like into constant-frequency and constant-voltage AC or variable-frequency and variable-voltage AC. With the rapid development of science and technology, people's life and production have higher and higher requirements for power supply quality. An inverter is a core part of power supply equipment such as an uninterruptible power supply (UPS), an AC power frequency converter, or a new energy supply system. Therefore, research on inverters is of great significance to the development of modern industry. In an existing inverter control system, the quality of an inverter output waveform may deteriorate or even lead to system instability due to the presence of nonlinear factors. In an existing inverter control method, feedback control is performed directly by current or voltage, which has slow response speed and poor stability.
Therefore, an objective of the present invention is to overcome the foregoing deficiencies in the prior art, and provide a control system for a three-phase inverter, which comprises an instantaneous value voltage controller and an equivalent effective value voltage controller, wherein the instantaneous value voltage controller is configured to feed back and control an instantaneous value of an inverter output voltage, the equivalent effective value voltage controller is configured to perform an orthogonal decomposition feedback control on an effective value of the inverter output voltage, and wherein the equivalent effective value voltage controller is configured to perform integral compensation respectively on a real-axis voltage and an imaginary-axis voltage of a two-phase rotating coordinate system of the three-phase inverter, and an output of the instantaneous value voltage controller and an output of the equivalent effective value voltage controller are used to obtain the inverter output voltage through a delay stage transfer function and a controlled object transfer function.
Preferably, the equivalent effective value voltage controller is an integral compensator
where Kcomp is a gain coefficient, and s is a frequency domain operator.
Preferably, the gain coefficient is less than 1.
Preferably, the real-axis voltage is represented as vr, and the imaginary-axis voltage is represented as vi, wherein
where vref_sin represents an inverter sine voltage given value, vref_cos represents an inverter cosine voltage given value, and verr represents a difference between the inverter sine voltage given value and the inverter output voltage.
Preferably,
where Vr is a real-axis voltage average value, Vi is an imaginary-axis voltage average value, {circumflex over (v)}r is a real-axis voltage disturbance value, and {circumflex over (v)}i is an imaginary-axis voltage disturbance value.
Preferably,
where ΔVrms is a difference between a given inverter voltage effective value and a feedback voltage effective value, w is an angular frequency of the inverter output voltage, and t is time.
Preferably, the integral compensator is configured to convert the real-axis voltage vr into a controller real-axis output value Vre, and convert the imaginary-axis voltage vi into a controller imaginary-axis output value Vim, wherein
Preferably, a duty cycle dd of an output of an equivalent real-axis voltage loop is obtained based on the controller real-axis output value Vre, a duty cycle dq of an output of an equivalent imaginary-axis voltage loop is obtained based on the controller imaginary-axis output value Vim, a duty cycle of an output of the instantaneous value voltage controller Dv(s) is dDv, and a total duty cycle is d, where d=dDv+dd+dq.
Preferably, the total duty cycle d is used to obtain the inverter output voltage through the delay stage transfer function and the controlled object transfer function.
Preferably, the instantaneous value voltage controller is a hysteresis controller and represented as
where Kfw is a gain coefficient of the instantaneous value voltage controller, z is a zero point of an instantaneous voltage loop controller, p is a pole of the instantaneous voltage loop controller, and s is the frequency domain operator.
Preferably, the control system further comprises a coordinate system conversion part which is configured to implement conversion between an abc coordinate system and an αβγ coordinate system.
The present invention further provides a control method for a three-phase inverter, comprising:
Preferably, a gain coefficient of the integral compensation is less than 1.
Preferably, the real-axis voltage is represented as vr, and the imaginary-axis voltage is represented as vi, where
where vref_sin represents an inverter sine voltage given value, vref_cos represents an inverter cosine voltage given value, and verr represents a difference between the inverter sine voltage given value and the inverter output voltage.
Preferably, the method further includes converting an abc coordinate system into an αβγ coordinate system in a feedback process and converting the αβγ coordinate system into the abc coordinate system in an output process.
Preferably, the method further includes a step of adjusting an initial phase angle of the inverter output voltage to zero.
Compared with the prior art, the advantages of the present invention lie in that compared with a conventional control system, in an equivalent effective value voltage control loop, a relatively large crossover frequency can be designed, so that sufficiently fast regulating speed is ensured, and there are still sufficient phase and gain margins. In addition, an integral controller in the system ensures stability and almost has no net difference, thereby providing excellent performance in dynamic status/stability.
Embodiments of the present invention are further described below with reference to the accompanying drawings, in which:
In order to make the objectives, technical solutions, and advantages of the present invention more clear, the present invention is further described below in detail with reference to the accompanying drawings and specific embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention.
In this embodiment, a control system and a control method for an inverter of the present invention are provided based on the three-phase four-wire inverter topology shown in
Refer to a simplified inverter control system shown in
where w is an angular frequency of the inverter output voltage, and t is time. Those skilled in the art know that a given value is also referred to as a reference value, that is, an expected value output by an inverter.
It is assumed that vo=Vrms_o sin(wt+θ), where vo is the inverter output voltage (that is, a feedback voltage), Vrms_o is an effective value of the inverter output voltage, and θ is an initial phase angle of the inverter voltage. In the present invention, for ease of control, it is required that θ=0.
In this case,
verr=vref_sin−vo=Vrms_ref sin(wt)−Vrms_o sin(wt)=ΔVrms sin(wt),
where verr is a difference between the inverter sine voltage given value and the feedback voltage, and ΔVrms is a difference between the given inverter voltage effective value and the feedback voltage effective value. In the field of circuit control, the feedback voltage is a sine value. Therefore, in the discussion of the present invention, a sine symbol is no longer labeled on a feedback signal.
verr including the feedback voltage vo is input into a multiplier respectively with the inverter sine voltage given value and the inverter cosine voltage given value to obtain a real-axis voltage nr and an imaginary-axis voltage vi.
Therefore,
The given inverter voltage effective value is normalized into a per-unit pu, that is, Vrms_ref=1. Where pu represents a relative unit system, and is a common term in the field of engineering. For example, an inverter voltage standard value is 230 V, represented by 1 pu. In this case, (1+15%)*230 V is 1.15 pu.
In this case, Formula (2) may be simplified as:
The real-axis voltage and the imaginary-axis voltage are further respectively represented as including a constant part (a direct current amount) and a disturbance part (an alternating current amount):
where Vr is a real-axis voltage average value, Vi is an imaginary-axis voltage average value, {circumflex over (v)}r is a real-axis voltage disturbance value, and {circumflex over (v)}i is an imaginary-axis voltage disturbance value.
and
According to the foregoing derivation, a real-axis voltage and an imaginary-axis voltage of a two-phase rotating coordinate system of a three-phase inverter are obtained, and the real-axis voltage and the imaginary-axis voltage are respectively written in a form including a direct current amount and an alternating current amount.
Compensation control is further performed on the real-axis voltage and the imaginary-axis voltage. Starting from decompositions (3), (4), and (5), an integral compensator (also referred to as an integral controller)
is added. In the present invention, Dri(s) is an effective value voltage controller configured to control a real-axis voltage and an imaginary-axis voltage, and is referred to as an “equivalent effective value voltage controller” in the present invention to differentiate from a conventional effective value voltage controller. Kcomp is a gain coefficient of the controller, 1/s is an integral part of the controller, and s is a frequency domain operator.
In this case,
where Vre is a controller real-axis output value, and Vim is a controller imaginary-axis output value.
Formula (3) is substituted into Formula (6),
It is known that
Therefore, the disturbance part is omitted to obtain
As can be seen from Formula (8), in this embodiment, an inverter voltage effective value after orthogonal decomposition includes a real part Vre and an imaginary part Vim equal to zero, which is equivalent to an instantaneous effective value voltage control system. Therefore, the foregoing derivation process is proved to be accurate and reasonable.
Continue to refer to the simplified inverter control system shown in
In the case of normalization.
Based on this, the duty cycle of the equivalent real-axis voltage loop output and the duty cycle of the equivalent imaginary-axis voltage loop output may be further obtained.
It is known that Dri(s)=Kcomp1/s, which represents an equivalent effective value voltage controller in the present invention. An effective value error ΔVrms may be quickly calculated. A calculation period is a control period Ts, for example
here. Therefore, an output Vre of the controller may quickly reach a reference value Vrms_ref, that is, Vre≈Vrms_ref. A conventional calculation period of the effective value error is a utility power period To, for example, for utility power 50 Hz/20 ms,
Therefore, a bandwidth (that is, a crossover frequency fc_new) of the equivalent effective value voltage controller in the present invention may be configured to be much greater than a crossover frequency fc_ori of a conventional effective value voltage controller. For example, the crossover frequency of the equivalent effective value voltage controller in the present invention is
and the crossover frequency of the conventional effective value voltage controller is
This means that a regulating speed of the equivalent effective value voltage controller in the present invention is greater than that of a conventional control method. In addition, with the presence of an integral stage, there is almost no steady state error in the control method of the present invention.
The entire inverter control system in this embodiment is equivalent to a voltage inner-outer loop system. The inner loop is a voltage instantaneous value open-loop system, and the outer loop is a voltage effective value closed-loop system. The instantaneous value voltage controller Dv(s) can ensure the convergence of an initial state of the system and improve the dynamic state of the system. An imaginary-axis branch in the voltage effective value closed-loop system can ensure that an initial phase angle θ of the inverter voltage is zero. In a steady state of the system, ΔVrms≈0, dd≈Vrms_ref sin(wt), and dq≈0. A total duty cycle d=dDv+dd+dq≈dd, that is, dDv≈0. Therefore, the instantaneous value voltage controller Dv(s) accounts for a very small weight ratio in the steady state.
Refer to an equivalent inverter control system shown in
The equivalent effective value voltage loop is specifically analyzed below with reference to
and a controlled object is Gdelay(s)=e−sT, where
Pade equivalent linearization is performed, and a controller is designed. In the open loop and closed loop of the system:
An appropriate PM/GM is set to obtain a parameter Kcomp. PM stands for a phase margin, and GM stands for a gain margin. It should be noted that Dri must be an integral controller.
Refer to an open-loop Bode diagram of the equivalent effective value voltage loop in
The instantaneous value voltage loop in
is selected exemplarily but not restrictively, representing a hysteresis controller. Kfw is a gain coefficient of the instantaneous value voltage loop controller, z is a zero point of an instantaneous value voltage loop controller, p is a pole of the instantaneous voltage loop controller, and s is the frequency domain operator. In the present invention, the other types of controllers well known in the field may be selected as the instantaneous value voltage loop controller, as long as they can ensure the convergence of an initial state of the system and account for a very small weight ratio in a steady state.
Refer to an open-loop Bode diagram of the instantaneous value voltage loop in
In this embodiment, an inverter control system for the three-phase three-wire inverter topology shown in
The inventors prove the effects of the present invention through the results of simulation and test under hardware-in-the loop (HIL), respectively.
Refer to the results of simulation shown in
Refer to the results of test under HILg shown in
In summary, the present invention provides a novel orthogonal decomposition method for an inverter voltage, which comprises: obtaining a real-axis voltage and an imaginary-axis voltage, decomposing the real-axis voltage to obtain a direct current amount and a disturbance amount by means of a small signal analysis method, and similarly obtaining a direct current amount and a disturbance amount of the imaginary-axis voltage. Based on the novel orthogonal decomposition method for a voltage, a novel inverter voltage controller is designed, which includes an equivalent effective value voltage controller and an instantaneous value voltage controller. In a three-phase inverter, a complete novel three-phase inverter control system is designed. Compared with a conventional inverter control system, the novel system has much better dynamic state performance and steady state performance than the conventional system in terms of effective value voltage control. In addition, the instantaneous value voltage control loop is equivalent to an open-loop system, so as to ensure that the application to an inverter parallel system has comparable performance.
One of the effects of the inverter control system of the present invention lies in that compared with a conventional control system, in an equivalent effective value voltage control loop, a relatively large crossover frequency can be designed, so that sufficiently fast regulating speed is ensured, and there are still sufficient phase and amplitude margins. In addition, an integral controller part in the system ensures stability and almost has no net difference, thereby providing excellent performance in dynamic status/stability.
Although the present invention has been described by way of preferred embodiments, the present invention is not limited to the embodiments described herein, but includes various changes as well as variations made without departing from the scope of the present invention.
Number | Date | Country | Kind |
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202110906253.5 | Aug 2021 | CN | national |
Number | Name | Date | Kind |
---|---|---|---|
3675037 | Hamilton | Jul 1972 | A |
5345377 | Edwards | Sep 1994 | A |
7920033 | Groe | Apr 2011 | B1 |
9184687 | Handa | Nov 2015 | B2 |
9341660 | Wu | May 2016 | B2 |
9450528 | Yasui | Sep 2016 | B2 |
10873273 | Lee | Dec 2020 | B2 |
11444558 | Latham | Sep 2022 | B1 |
20040052217 | Anghel | Mar 2004 | A1 |
20040071000 | Escobar | Apr 2004 | A1 |
20050063205 | Stancu | Mar 2005 | A1 |
20080157710 | Tobari | Jul 2008 | A1 |
20090231893 | Esmaili | Sep 2009 | A1 |
20100131219 | Kenly | May 2010 | A1 |
20100237821 | Kitanaka | Sep 2010 | A1 |
20110122661 | Sakakibara | May 2011 | A1 |
20110130889 | Khajehoddin | Jun 2011 | A1 |
20130082636 | Ohori | Apr 2013 | A1 |
20130181654 | Rozman | Jul 2013 | A1 |
20130279213 | Saeki | Oct 2013 | A1 |
20140152110 | Sugimoto | Jun 2014 | A1 |
20140197774 | Liu | Jul 2014 | A1 |
20140268957 | Khajehoddin | Sep 2014 | A1 |
20140328091 | Sakakibara | Nov 2014 | A1 |
20140333241 | Zhao | Nov 2014 | A1 |
20150092462 | Ohori | Apr 2015 | A1 |
20150123579 | Liu | May 2015 | A1 |
20150171772 | Tallam | Jun 2015 | A1 |
20150214867 | Takahashi | Jul 2015 | A1 |
20160094149 | Pahlevaninezhad | Mar 2016 | A1 |
20160156291 | Becker | Jun 2016 | A1 |
20160173012 | Nondahl | Jun 2016 | A1 |
20160233782 | Sakakibara | Aug 2016 | A1 |
20160336750 | Oates | Nov 2016 | A1 |
20160373025 | Mascioli | Dec 2016 | A1 |
20160373125 | Pagnanelli | Dec 2016 | A1 |
20170047862 | Luo | Feb 2017 | A1 |
20180054139 | Huang | Feb 2018 | A1 |
20180123479 | Sanfelice | May 2018 | A1 |
20180316297 | Uemura | Nov 2018 | A1 |
20180358907 | Kato | Dec 2018 | A1 |
20190214918 | Kawamura | Jul 2019 | A1 |
20190222135 | Sakakibara | Jul 2019 | A1 |
20190245458 | Wang | Aug 2019 | A1 |
20200021214 | Lakshmi Narasimha | Jan 2020 | A1 |
20200335978 | Ren | Oct 2020 | A1 |
20200343731 | Hassan | Oct 2020 | A1 |
20210067054 | Tanaka | Mar 2021 | A1 |
20210103258 | Fujimoto | Apr 2021 | A1 |
20210143752 | Zhang | May 2021 | A1 |
20210281154 | Xu | Sep 2021 | A1 |
20210399648 | McCartney | Dec 2021 | A1 |
20220052620 | Du | Feb 2022 | A1 |
20220077688 | Patarroyo | Mar 2022 | A1 |
20220190741 | Katoh | Jun 2022 | A1 |
20220399801 | Suzuki | Dec 2022 | A1 |
20230170826 | Kawai | Jun 2023 | A1 |
20230208318 | Chen | Jun 2023 | A1 |
Number | Date | Country | |
---|---|---|---|
20230052807 A1 | Feb 2023 | US |