CN110377104B - Digital orthogonal signal generator and frequency self-adaption method thereof - Google Patents
Digital orthogonal signal generator and frequency self-adaption method thereof Download PDFInfo
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Abstract
The invention discloses a digital orthogonal signal generator and a frequency self-adaption method thereof. When the digital orthogonal signal generator is established, the digital orthogonal signal generator is directly established in a z domain, and when the parameters of the digital orthogonal signal generator are established, the parameters of the digital orthogonal signal generator have one-to-one correspondence relation with the frequency of a system input signal, so that when the frequency of the input signal changes, the parameters of the digital orthogonal signal generator only need to be updated on line, and therefore the parameters of the digital orthogonal signal generator can realize self-adaption to the frequency change of the input signal, and the application range of the digital orthogonal signal generator is expanded.
Description
Technical Field
The invention relates to the field of orthogonal signal generators, in particular to a digital orthogonal signal generator and a frequency self-adaption method thereof.
Background
In order to realize a single-Phase digital PLL (Phase Locked Loop) algorithm or to obtain positive and negative sequence voltage components of a three-Phase mains supply, a quadrature component corresponding to a system input signal needs to be obtained. At present, a digital quadrature signal generator based on SOGI (Second Order Generalized Integrator) is usually used to obtain the corresponding quadrature component of the system input signal.
In the prior art, the digital quadrature signal generator based on the SOGI is converted from the analog quadrature signal generator based on the SOGI. Referring to fig. 1, fig. 1 is a schematic structural diagram of an analog quadrature signal generator based on an SOGI in the prior art, which outputs two sinusoidal signals v ' and qv ', v ' that are orthogonal to each other and are in-phase and same amplitude as an input signal v. The mathematical model for the known SOGI is:
the closed loop transfer function of the analog quadrature signal generator based on the SOGI is then:
wherein ω isThe angular velocity of the input signal; k is the gain, which affects the bandwidth of the closed loop system. For converting an analog quadrature signal generator (s-domain) into an equivalent digital quadrature signal generator (z-domain), a forward difference method is usually used
Or backward difference method
Or bilinear transformation
Implementing s-domain to z-domain conversion, where TsIs the sampling frequency. However, the frequency of the system input signal is involved in the conversion from s domain to z domain, so that the parameters of the digital orthogonal signal generator are difficult to adapt to the frequency variation of the input signal, thereby limiting the application range.
Therefore, how to provide a solution to the above technical problem is a problem that needs to be solved by those skilled in the art.
Disclosure of Invention
The invention aims to provide a digital orthogonal signal generator and a frequency self-adaption method thereof, wherein parameters of the digital orthogonal signal generator can realize self-adaption to frequency change of an input signal, so that the application range of the digital orthogonal signal generator is expanded.
In order to solve the above technical problem, the present invention provides a frequency adaptation method for a digital orthogonal signal generator, comprising:
predetermining parameters having a one-to-one correspondence relationship with the frequency of a system input signal;
under the constraint condition that the parameters are used as independent variables of a digital orthogonal signal generator, the digital orthogonal signal generator for acquiring orthogonal components corresponding to the input signals is directly established in a z domain;
in the using process of the digital orthogonal signal generator, when the current frequency of the input signal changes, the target parameter corresponding to the changed signal frequency is determined according to the one-to-one correspondence relationship between the frequency and the parameter, and the current parameter of the digital orthogonal signal generator is updated according to the target parameter.
Preferably, the process of predetermining the parameters having a one-to-one correspondence relationship with the frequencies of the system input signals includes:
predetermining parameter omega having one-to-one correspondence relation with frequency f of system input signal0Wherein, in the step (A),
ω0＝2πf，ω0is the angular velocity of the input signal.
Preferably, the process of directly establishing the digital orthogonal signal generator in the z-domain for obtaining the orthogonal component corresponding to the input signal under the constraint condition that the parameter is used as an independent variable of the digital orthogonal signal generator includes:
the parameter omega0Determined as independent variable of digital orthogonal signal generator and based on parameter omega0Establishing an adaptive parameter cos (ω) of said digital quadrature signal generator0Ts) And sin (ω)0Ts) (ii) a Wherein, TsIs the sampling frequency;
based on adaptive parameter cos (omega)0Ts) And sin (ω)0Ts) And directly establishing the digital orthogonal signal generator for acquiring the corresponding orthogonal component of the input signal in a z-domain.
Preferably, the transfer function of the digital quadrature signal generator is:
Preferably, when the current frequency of the input signal changes, the process of determining a target parameter corresponding to the changed signal frequency according to a one-to-one correspondence between the frequency and the parameter, and updating the current parameter of the digital orthogonal signal generator according to the target parameter includes:
when the current frequency f of the input signal1Change to frequency f2When the temperature of the water is higher than the set temperature,according to omega0Determining frequency f 2 pi f2Corresponding target parameter omega0＝2πf2；
According to the target parameter omega0＝2πf2Updating a current parameter ω of the digital quadrature signal generator0＝2πf1。
In order to solve the above technical problem, the present invention further provides a digital orthogonal signal generator, wherein the digital orthogonal signal generator specifically comprises: the orthogonal signal generator is directly established in a z domain and is used for acquiring orthogonal components corresponding to the input signals under the constraint condition that parameters which have one-to-one correspondence relation with the frequencies of the input signals of the system are used as self independent variables.
The invention provides a frequency self-adaption method of a digital orthogonal signal generator. When the digital orthogonal signal generator is established, the digital orthogonal signal generator is directly established in a z domain, and when the parameters of the digital orthogonal signal generator are established, the parameters of the digital orthogonal signal generator have one-to-one correspondence relation with the frequency of a system input signal, so that when the frequency of the input signal changes, the parameters of the digital orthogonal signal generator only need to be updated on line, and therefore the parameters of the digital orthogonal signal generator can realize self-adaption to the frequency change of the input signal, and the application range of the digital orthogonal signal generator is expanded.
The invention also provides a digital orthogonal signal generator which has the same beneficial effects as the frequency self-adaptive method.
Drawings
In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed in the prior art and the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without creative efforts.
Fig. 1 is a schematic diagram of an analog quadrature signal generator based on an SOGI in the prior art;
fig. 2 is a flowchart of a frequency adaptive method of a digital quadrature signal generator according to an embodiment of the present invention;
fig. 3 is a schematic diagram of a z-domain structure of a digital quadrature signal generator according to an embodiment of the present invention;
fig. 4(a) is an amplitude-frequency response diagram of a transfer function of a digital quadrature signal generator according to an embodiment of the present invention;
fig. 4(b) is a phase-frequency response diagram of a transfer function of a digital quadrature signal generator according to an embodiment of the present invention.
Detailed Description
The core of the invention is to provide a digital orthogonal signal generator and a frequency self-adaption method thereof, and the parameters of the digital orthogonal signal generator can realize the self-adaption to the frequency change of the input signal, thereby expanding the application range of the digital orthogonal signal generator.
In order to make the objects, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are some, but not all, embodiments of the present invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 2, fig. 2 is a flowchart illustrating a frequency adaptation method for a digital orthogonal signal generator according to an embodiment of the present invention.
The frequency self-adaption method of the digital orthogonal signal generator comprises the following steps:
step S1: parameters having a one-to-one correspondence with the frequency of the system input signal are predetermined.
In particular, considering that the purpose of the present application is to make the parameters of the digital orthogonal signal generator realize the adaptation to the frequency variation of the system input signal, the present application first finds some parameters having correlation with the frequency of the system input signal, and determines one or more parameters (according to actual requirements) having a one-to-one correspondence relationship with the frequency of the system input signal from the parameters (i.e. specific values of the parameters can be obtained according to the frequency of the system input signal; in the following embodiments, the parameters having a one-to-one correspondence relationship with the frequency of the system input signal are referred to as set-up parameters), so as to lay the foundation for the digital orthogonal signal generator which sets up the frequency adaptation subsequently.
Step S2: under the constraint condition that the parameters are used as independent variables of the digital orthogonal signal generator, the digital orthogonal signal generator for acquiring the corresponding orthogonal component of the input signal is directly established in the z-domain.
It should be noted that steps S1 and S2 are established in advance, and only need to be established once, and do not need to be re-established unless modified according to actual conditions.
In particular, considering the frequency of the system input signal involved in the conversion of the analog quadrature signal generator (s-domain) into an equivalent digital quadrature signal generator (z-domain), the present application chooses to build the digital quadrature signal generator directly in the z-domain, avoiding the conversion process from the s-domain to the z-domain. In addition, the present application uses the setup parameters determined in step S1 as the independent variables of the digital orthogonal signal generator when building the digital orthogonal signal generator, so that the parameters of the digital orthogonal signal generator and the frequency of the system input signal are in a one-to-one correspondence relationship, thereby enabling the parameters of the digital orthogonal signal generator to be adaptive to the frequency variation of the system input signal.
Step S3: in the using process of the digital orthogonal signal generator, when the current frequency of an input signal changes, the target parameter corresponding to the changed signal frequency is determined according to the one-to-one correspondence relationship between the frequency and the parameter, and the current parameter of the digital orthogonal signal generator is updated according to the target parameter.
In particular, during use of the digital quadrature signal generator, the current parameters of the digital quadrature signal generator should be adapted to the current frequency of the system input signal. When the current frequency of the system input signal changes, the target parameter corresponding to the changed signal frequency (i.e. the target value that needs to be updated for the current parameter of the digital orthogonal signal generator) may be determined according to the one-to-one correspondence relationship between the frequency of the system input signal and the established parameter determined in step S1, so as to update the current parameter of the digital orthogonal signal generator according to the target parameter, thereby adapting the updated parameter of the digital orthogonal signal generator to the changed signal frequency.
The invention provides a frequency self-adaption method of a digital orthogonal signal generator. When the digital orthogonal signal generator is established, the digital orthogonal signal generator is directly established in a z domain, and when the parameters of the digital orthogonal signal generator are established, the parameters of the digital orthogonal signal generator have one-to-one correspondence relation with the frequency of a system input signal, so that when the frequency of the input signal changes, the parameters of the digital orthogonal signal generator only need to be updated on line, and therefore the parameters of the digital orthogonal signal generator can realize self-adaption to the frequency change of the input signal, and the application range of the digital orthogonal signal generator is expanded.
On the basis of the above-described embodiment:
as an alternative embodiment, the process of predetermining a parameter having a one-to-one correspondence with a frequency of a system input signal includes:
predetermining parameter omega having one-to-one correspondence relation with frequency f of system input signal0Wherein, ω is0＝2πf，ω0Is the angular velocity of the input signal.
Specifically, the frequency f of the system input signal and the angular velocity ω of the system input signal are known0Has a one-to-one correspondence: omega 02 pi f, the angular velocity ω of the system input signal may be selected for use in this application0As a parameter of construction, i.e. the angular velocity ω of the system input signal when building the digital quadrature signal generator0As an argument of the digital quadrature signal generator, in other words, the parameter updated by the digital quadrature signal generator when the frequency of the system input signal changes is ω0。
As an alternative embodiment, the process of directly establishing a digital orthogonal signal generator in the z-domain for acquiring a corresponding orthogonal component of an input signal under the constraint that a parameter is used as an argument of the digital orthogonal signal generator includes:
the parameter omega0Determined as independent variable of digital orthogonal signal generator and based on parameter omega0Establishing an adaptive parameter cos (omega) of a digital quadrature signal generator0Ts) And sin (ω)0Ts) (ii) a Wherein, TsIs the sampling frequency;
based on adaptive parameter cos (omega)0Ts) And sin (ω)0Ts) A digital quadrature signal generator is directly set up in the z-domain for obtaining the corresponding quadrature component of the input signal.
In particular, it has been found through a lot of experiments that the adaptive parameter of the digital quadrature signal generator is cos (ω)0Ts) And sin (ω)0Ts) This is preferred because of the adaptive parameter cos (ω) based0Ts) And sin (ω)0Ts) The established digital orthogonal signal generator has a simpler structure.
When the current frequency of the system input signal changes, it can be according to omega0Determining a target parameter omega corresponding to the changed signal frequency 2 pi f0According to the target parameter omega0Updating the current parameters of the digital quadrature signal generator corresponds to updating the adaptive parameters cos (ω) of the digital quadrature signal generator0Ts) And sin (ω)0Ts) Therefore, the self-adaption of the digital orthogonal signal generator is conveniently realized.
As an alternative embodiment, the transfer function of the digital quadrature signal generator is:
Specifically, referring to fig. 3, fig. 3 is a schematic diagram of a z-domain structure of a digital quadrature signal generator according to an embodiment of the present invention. Wherein x isα(z) and xβ(z) is the input signal of a digital quadrature signal generator, yα(z) and yβ(z) is the output signal of the digital quadrature signal generator, Tα(z) and Tβ(z) is the intermediate signal of the digital quadrature signal generator.
After a lot of experiments, the present application establishes the digital orthogonal signal generator directly established in the z-domain as the structure shown in fig. 3, and deduces the structure shown in fig. 3 to obtain the transfer function of the digital orthogonal signal generator as follows:
referring to fig. 4(a) and fig. 4(b), fig. 4(a) is an amplitude-frequency response diagram of a transfer function of a digital quadrature signal generator according to an embodiment of the present invention, and fig. 4(b) is a phase-frequency response diagram of a transfer function of a digital quadrature signal generator according to an embodiment of the present invention.
As can be seen from fig. 4(a) and 4(b), only the parameters for establishing the transfer function of the digital quadrature signal generator are set at ω0The transfer function strictly ensures ω of the output signal v' and the input signal v0Fundamental wave same frequency, same phase and same amplitude, output signal qv' and input signal v omega0The fundamental waves have the same frequency and amplitude and have a phase difference of 90 degrees.
As an alternative embodiment, when the current frequency of the input signal changes, the process of determining a target parameter corresponding to the changed signal frequency according to the one-to-one correspondence between the frequency and the parameter, and updating the current parameter of the digital orthogonal signal generator according to the target parameter includes:
when the current frequency f of the input signal1Change to frequency f2According to ω0Determining frequency f 2 pi f2Corresponding target parameter omega0＝2πf2；
According to the target parameter omega0＝2πf2Updating a current parameter omega of a digital quadrature signal generator0＝2πf1。
In particular, the current frequency of the system input signal is f1Then according to ω0Obtaining the current parameter omega of the digital orthogonal signal generator as 2 pi f0＝2πf1. When the current frequency of the system input signal is set by f1Change to f2Then according to ω0Obtaining target parameter omega required to be updated by the digital orthogonal signal generator according to 2 pi f0＝2πf2Then according to the target parameter is ω0＝2πf2Updating a current parameter omega of a digital quadrature signal generator0I.e. updated parameter omega of the digital quadrature signal generator0Equal to 2 pi f2。
The invention also provides a digital orthogonal signal generator, which comprises the following specific components: and the orthogonal signal generator is directly established in the z domain and is used for acquiring the orthogonal component corresponding to the input signal under the constraint condition that the parameter which has one-to-one correspondence relation with the frequency of the system input signal is taken as an independent variable.
For the introduction of the digital orthogonal signal generator provided in the present application, reference is made to the above embodiments of the frequency adaptive method, and details of the present application are not repeated herein.
It is further noted that, in the present specification, relational terms such as first and second, and the like are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
The previous description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the present invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the invention. Thus, the present invention is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (5)
1. A method for frequency adaptation in a digital quadrature signal generator, comprising:
predetermining parameters having a one-to-one correspondence relationship with the frequency of a system input signal;
under the constraint condition that the parameters are used as independent variables of a digital orthogonal signal generator, the digital orthogonal signal generator for acquiring orthogonal components corresponding to the input signals is directly established in a z domain;
in the using process of the digital orthogonal signal generator, when the current frequency of the input signal changes, determining a target parameter corresponding to the changed signal frequency according to the one-to-one correspondence relationship between the frequency and the parameter, and updating the current parameter of the digital orthogonal signal generator according to the target parameter;
wherein a transfer function of the digital quadrature signal generator is:
2. The frequency adaptation method of a digital quadrature signal generator as claimed in claim 1, wherein said process of predetermining parameters having a one-to-one correspondence with the frequency of the system input signal comprises:
predetermining parameter omega having one-to-one correspondence relation with frequency f of system input signal0Wherein, ω is0＝2πf，ω0Is the angular velocity of the input signal.
3. The method for frequency adaptation of a digital quadrature signal generator as claimed in claim 2, wherein said process of directly establishing said digital quadrature signal generator in the z-domain for obtaining the quadrature component corresponding to said input signal under the constraint that said parameters are used as arguments of said digital quadrature signal generator comprises:
the parameter omega0Determined as independent variable of digital orthogonal signal generator and based on parameter omega0Establishing an adaptive parameter cos (ω) of said digital quadrature signal generator0Ts) And sin (ω)0Ts) (ii) a Wherein, TsIs the sampling frequency;
based on adaptive parameter cos (omega)0Ts) And sin (ω)0Ts) And directly establishing the digital orthogonal signal generator for acquiring the corresponding orthogonal component of the input signal in a z-domain.
4. The method for frequency adaptation of a digital orthogonal signal generator according to any one of claims 2-3, wherein the process of determining a target parameter corresponding to the changed signal frequency according to the one-to-one correspondence of frequency and parameter when the current frequency of the input signal is changed, and updating the current parameter of the digital orthogonal signal generator according to the target parameter comprises:
when the current frequency f of the input signal1Change to frequency f2According to ω0Determining frequency f 2 pi f2Corresponding target parameter omega0＝2πf2；
According to the target parameter omega0＝2πf2Updating a current parameter ω of the digital quadrature signal generator0＝2πf1。
5. A digital quadrature signal generator, wherein the digital quadrature signal generator is specifically: under the constraint condition that parameters which have one-to-one correspondence relation with the frequency of a system input signal are used as self independent variables, the orthogonal signal generator is directly established in a z domain and is used for acquiring orthogonal components corresponding to the input signal;
the transfer function of the digital quadrature signal generator is:
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