CN113014171B - Voltage source type electromechanical transient modeling method and device for doubly-fed generator excitation system - Google Patents

Voltage source type electromechanical transient modeling method and device for doubly-fed generator excitation system Download PDF

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CN113014171B
CN113014171B CN202110200718.5A CN202110200718A CN113014171B CN 113014171 B CN113014171 B CN 113014171B CN 202110200718 A CN202110200718 A CN 202110200718A CN 113014171 B CN113014171 B CN 113014171B
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rotor
stator
equation
doubly
current
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CN113014171A (en
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谢欢
李善颖
刘丽丽
吴涛
梁浩
李长宇
谭麒邦
曹天植
黄天啸
严乙桉
刘瑛琳
辛光明
罗婧
郝婧
王炳辉
檀政
徐鹏
陈瑞
史扬
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
Electric Power Research Institute of State Grid Jibei Electric Power Co Ltd
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State Grid Corp of China SGCC
North China Electric Power Research Institute Co Ltd
Electric Power Research Institute of State Grid Jibei Electric Power Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/24Vector control not involving the use of rotor position or rotor speed sensors
    • H02P21/26Rotor flux based control
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/22Current control, e.g. using a current control loop
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/24Vector control not involving the use of rotor position or rotor speed sensors
    • H02P21/28Stator flux based control
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P9/00Arrangements for controlling electric generators for the purpose of obtaining a desired output
    • H02P9/14Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field
    • H02P9/26Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field using discharge tubes or semiconductor devices
    • H02P9/30Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field using discharge tubes or semiconductor devices using semiconductor devices
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation

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  • Power Engineering (AREA)
  • Control Of Eletrric Generators (AREA)

Abstract

The invention provides a voltage source type electromechanical transient modeling method and device for an excitation system of a doubly-fed generator, wherein the method comprises the following steps: establishing a voltage source type electromechanical transient model of the doubly-fed generator; determining an interface equation of the doubly-fed generator and an external system according to a voltage source type electromechanical transient model of the doubly-fed generator; determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation of the doubly-fed generator and an external system; and determining a voltage source type electromechanical transient model of the excitation system of the doubly-fed generator according to the voltage source type electromechanical transient model and the alternating current excitation control model of the doubly-fed generator. The invention normalizes the variable frequency controller, the frequency converter and the generator connection module, realizes the integration of the generator model and the variable frequency controller model, reserves the dynamic process of a motor flux linkage and the dynamic characteristic of a controller inner ring, and has important significance for researching the transient problem of the large-capacity double-fed unit connected to a power grid.

Description

Voltage source type electromechanical transient modeling method and device for doubly-fed generator excitation system
Technical Field
The invention relates to the technical field of unit transient modeling simulation, in particular to a voltage source type electromechanical transient modeling method and device for a doubly-fed generator excitation system.
Background
This section is intended to provide a background or context to the embodiments of the invention that are recited in the claims. The description herein is not admitted to be prior art by inclusion in this section.
The double-fed unit transient modeling simulation comprises two types of electromagnetic transient modeling and electromechanical transient modeling. In the aspect of electromagnetic transient modeling, the establishment of detailed models of all parts of a doubly-fed wind turbine generator and the switching process of an electronic device are generally considered, and the models are specific and accurate and are suitable for researching the electromagnetic relation and the control strategy in the generator; however, in the aspect of researching the interaction between the unit and the power grid, the problems of complex model, poor integral convergence and the like exist, so that a simplified electromechanical transient model needs to be established. In the aspect of electromechanical transient modeling, the doubly-fed generator/frequency converter is generally equivalent to a controlled current source model to simulate the characteristics outside the unit. At present, a doubly-fed unit excitation system current source type electromechanical transient model is widely applied to power grid stability calculation and power grid mode calculation.
In the aspect of electromechanical transient modeling of an existing doubly-fed generator excitation system, a generator/frequency converter is generally equivalent to a controlled current source model, and the design concept is widely applied to domestic mainstream simulation software. A frequency converter control model of a current source model electromechanical transient model of an existing doubly-fed generator excitation system is shown in figure 2, an outer ring of the frequency converter control is an active power control loop and a reactive power control loop, and a first-order inertia link is used for simulating the dynamic characteristic of an inner ring of the frequency converter control loop.
Although the current source type electromechanical transient model of the doubly-fed generator excitation system simulates the dynamic characteristics of the inner ring of the controller by using a small inertia link, the inertia link is only acquired according to a simulation routine and cannot truly reflect the PI parameters of the inner ring, and the dynamic process of a motor flux linkage is ignored and cannot effectively reflect the dynamic characteristics of a unit. Therefore, the equivalent model is suitable for fitting the external characteristics of the small-capacity doubly-fed unit, but is not beneficial to transient stability analysis of the large-capacity doubly-fed unit (such as a large-capacity variable-speed pumped storage unit).
Therefore, how to provide a new solution, which can solve the above technical problems, is a technical problem to be solved in the art.
Disclosure of Invention
The embodiment of the invention provides a voltage source type electromechanical transient modeling method for an excitation system of a doubly-fed generator, which reserves the dynamic process of a motor flux linkage and the dynamic characteristic of a controller inner ring, has important significance for researching the transient problem of a large-capacity doubly-fed generator set accessing a power grid, and comprises the following steps:
establishing a voltage source type electromechanical transient model of the doubly-fed generator;
determining an interface equation of the doubly-fed generator and an external system according to a voltage source type electromechanical transient model of the doubly-fed generator;
determining an alternating-current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation of the doubly-fed generator and an external system;
and determining a voltage source type electromechanical transient model of the excitation system of the doubly-fed generator according to the voltage source type electromechanical transient model and the alternating current excitation control model of the doubly-fed generator.
The embodiment of the invention also provides a voltage source type electromechanical transient modeling device for an excitation system of a doubly-fed generator, which comprises:
the voltage source type electromechanical transient model building module of the doubly-fed generator is used for building a voltage source type electromechanical transient model of the doubly-fed generator;
the interface equation determination module of the doubly-fed generator and the external system is used for determining the interface equation of the doubly-fed generator and the external system according to the voltage source type electromechanical transient model of the doubly-fed generator;
the alternating current excitation control model determining module is used for determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation between the doubly-fed generator and an external system;
and the doubly-fed generator excitation system voltage source type electromechanical transient model determining module is used for determining a doubly-fed generator excitation system voltage source type electromechanical transient model according to the doubly-fed generator voltage source type electromechanical transient model and the alternating current excitation control model.
The embodiment of the present invention further provides a computer device, which includes a memory, a processor, and a computer program that is stored in the memory and can be run on the processor, and when the processor executes the computer program, the doubly-fed generator excitation system voltage source type electromechanical transient modeling method is implemented.
The embodiment of the invention also provides a computer readable storage medium, which stores a computer program for executing the voltage source type electromechanical transient modeling method of the doubly-fed generator excitation system.
The embodiment of the invention provides a voltage source type electromechanical transient modeling method and device for an excitation system of a doubly-fed generator; firstly, establishing a voltage source type electromechanical transient model of the doubly-fed generator; then determining an interface equation of the doubly-fed generator and an external system according to a voltage source type electromechanical transient model of the doubly-fed generator; then, determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation of the doubly-fed generator and an external system; and finally, determining the voltage source type electromechanical transient model of the excitation system of the doubly-fed generator according to the voltage source type electromechanical transient model and the alternating current excitation control model of the doubly-fed generator. The invention provides a brand-new voltage source type electromechanical transient modeling method for an excitation system of a doubly-fed generator, which is characterized by reserving the dynamic process of a motor flux linkage and the dynamic characteristics of a controller inner ring and having important significance for researching the transient problem of a large-capacity doubly-fed unit connected to a power grid compared with the current source type electromechanical transient model of the excitation system of the doubly-fed generator.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the embodiments or the prior art descriptions will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts. In the drawings:
fig. 1 is a schematic diagram of a voltage source type electromechanical transient modeling method for an excitation system of a doubly-fed generator according to an embodiment of the present invention.
Fig. 2 is a schematic diagram of a frequency converter control model of a doubly-fed generator excitation system current source type electromechanical transient model.
Fig. 3 is an ac excitation control block diagram of a voltage source type electromechanical transient modeling method for an excitation system of a doubly-fed generator according to an embodiment of the present invention.
Fig. 4 is a schematic diagram of a voltage source type electromechanical transient model of a doubly-fed generator excitation system according to a voltage source type electromechanical transient modeling method of the doubly-fed generator excitation system in an embodiment of the present invention.
Fig. 5 (a) -5 (e) are simulation comparison results of the electrical transient and electromagnetic transient models at the time of the voltage step of the system voltage of the doubly-fed generator excitation system voltage source type electromechanical transient modeling method according to the embodiment of the present invention.
Fig. 6 (a) -6 (e) are simulation comparison results of the electromechanical transient state and the electromagnetic transient state model when the system voltage is stepped up according to the voltage source type electromechanical transient state modeling method for the doubly-fed generator excitation system in the embodiment of the present invention.
Fig. 7 is a schematic diagram of a computer device for operating a doubly-fed generator excitation system voltage source type electromechanical transient modeling method implemented by the present invention.
Fig. 8 is a schematic diagram of a voltage source type electromechanical transient modeling apparatus for an excitation system of a doubly-fed generator according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the embodiments of the present invention are further described in detail below with reference to the accompanying drawings. The exemplary embodiments and descriptions of the present invention are provided to explain the present invention, but not to limit the present invention.
Fig. 1 is a method and an apparatus for voltage source type electromechanical transient modeling of an excitation system of a doubly-fed generator according to an embodiment of the present invention, and as shown in fig. 1, an embodiment of the present invention provides a method for voltage source type electromechanical transient modeling of an excitation system of a doubly-fed generator, which retains a dynamic process of a motor flux linkage and a dynamic characteristic of a controller inner ring, and is significant for studying a transient problem of a large-capacity doubly-fed generator set accessing a power grid, and includes:
step 101: establishing a voltage source type electromechanical transient model of the doubly-fed generator;
step 102: determining an interface equation of the doubly-fed generator and an external system according to a voltage source type electromechanical transient model of the doubly-fed generator;
step 103: determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation of the doubly-fed generator and an external system;
step 104: and determining a voltage source type electromechanical transient model of the excitation system of the doubly-fed generator according to the voltage source type electromechanical transient model and the alternating current excitation control model of the doubly-fed generator.
The embodiment of the invention provides a voltage source type electromechanical transient modeling method for a doubly-fed generator excitation system; firstly, establishing a voltage source type electromechanical transient model of the doubly-fed generator; then determining an interface equation of the doubly-fed generator and an external system according to a voltage source type electromechanical transient model of the doubly-fed generator; then, determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation of the doubly-fed generator and an external system; and finally, determining the voltage source type electromechanical transient model of the excitation system of the doubly-fed generator according to the voltage source type electromechanical transient model and the alternating current excitation control model of the doubly-fed generator. The invention provides a brand-new voltage source type electromechanical transient modeling method for an excitation system of a doubly-fed generator, which is characterized by reserving the dynamic process of a motor flux linkage and the dynamic characteristics of a controller inner ring and having important significance for researching the transient problem of a large-capacity doubly-fed unit connected to a power grid compared with the current source type electromechanical transient model of the excitation system of the doubly-fed generator.
When the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator provided by the embodiment of the invention is specifically implemented, the method can comprise the following steps: establishing a voltage source type electromechanical transient model of the doubly-fed generator; determining an interface equation of the doubly-fed generator and an external system according to a voltage source type electromechanical transient model of the doubly-fed generator; determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation of the doubly-fed generator and an external system; and determining a voltage source type electromechanical transient model of the excitation system of the doubly-fed generator according to the voltage source type electromechanical transient model and the alternating current excitation control model of the doubly-fed generator.
In a specific implementation of the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator according to the embodiment of the present invention, in an embodiment, the establishing of the voltage source type electromechanical transient model of the doubly-fed generator includes:
adopting a generator convention on a stator side and adopting a motor convention on a rotor side to establish a voltage source type electromechanical transient model of the doubly-fed generator; the voltage source type electromechanical transient model of the doubly-fed generator comprises: and the double-fed generator is formed by a stator voltage equation, a rotor voltage equation, a stator flux linkage equation and a rotor flux linkage equation and has an equation set under a dq rotation coordinate system.
In the embodiment, in the electromechanical transient simulation, the transient process of the stator winding of the doubly-fed generator does not need to be considered. Therefore, the stator side adopts the generator convention, and the rotor side adopts the motor convention, so as to obtain an equation system of the doubly-fed generator under a dq rotation coordinate system, wherein the equation system comprises the following steps: a stator voltage equation expressed by equation (1), a rotor voltage equation expressed by equation (2), a stator flux linkage equation expressed by equation (3), and a rotor flux linkage equation expressed by equation (4).
In specific implementation of the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator provided by the embodiment of the invention, in one embodiment, an equation set of the doubly-fed generator in a dq rotation coordinate system is established as follows:
Figure BDA0002948399520000051
Figure BDA0002948399520000052
Figure BDA0002948399520000053
Figure BDA0002948399520000054
wherein u is sd 、u sq Is the stator voltage; u. of rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle sd 、i sq Is the stator current; i.e. i rd 、i rq Is the rotor current; subscript d is the d-axis and subscript q is the q-axis of the dq-rotating coordinate system, for example: u. of sd Is stator d-axis voltage, u sq Is stator q-axis voltage, u rd Is the rotor d-axis voltage, u rq For rotor q-axis voltage, psi sd For stator d-axis flux linkage psi sq For stator q-axis flux linkage, psi rd For d-axis flux linkage of rotor,. Psi rq For rotor q-axis flux linkage, i sd Is stator d-axis current, i sq For stator q-axis current, i rd For rotor d-axis current, i rq For the rotor q-axis current, the description is omitted later; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; omega base Is a rated rotating speed; l is ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; r s Is a stator phase resistance; r is r Is a rotor phase resistance; p is the differential operator d/dt.
The aforementioned expressions for establishing the equation set of the doubly-fed generator in the dq rotation coordinate system are only used for illustration, and those skilled in the art can understand that, in implementation, some form of modification and addition of other parameters or data may be performed on the above equations as needed, or other specific equations may be provided, and these modifications are all within the scope of the present invention.
In a specific implementation of the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator according to the embodiment of the present invention, in an embodiment, the determining an interface equation between the doubly-fed generator and an external system according to the voltage source type electromechanical transient model of the doubly-fed generator includes:
determining a rotor current equation according to a rotor voltage equation in a voltage source type electromechanical transient model of the doubly-fed generator;
substituting the rotor current equation into the stator flux linkage equation to eliminate the rotor current in the stator flux linkage, and determining the stator flux linkage equation for eliminating the rotor current;
and substituting the stator flux linkage equation for eliminating the rotor current into a stator voltage equation to determine an interface equation of the doubly-fed generator and an external system.
The equation set of the doubly-fed generator under the dq rotation coordinate system is a differential equation taking the motor flux linkage as a state variable, and is not beneficial to the visual analysis of the electromechanical transient characteristics of the motor and the system. In electromechanical transient simulation, the rotor current needs to be eliminated, and the relation between the stator current and the stator voltage is represented by transient potential. Therefore, according to the rotor voltage equation in the voltage source type electromechanical transient model of the doubly-fed generator represented by the formula (2), a rotor current equation can be obtained and is substituted into the stator flux linkage equation represented by the formula (3), so that the rotor current in the stator flux linkage can be eliminated, and the stator flux linkage equation which is represented by the formula (5) and eliminates the rotor current is simplified; the stator flux linkage equation for eliminating the rotor current represented by the equation (5) is carried with the stator voltage equation represented by the equation (1), and an interface equation between the doubly-fed generator represented by the equation (6) and an external system can be obtained. The external system mentioned above refers to a system other than the generator in the model, including a power supply, a line, and the like.
In a specific implementation of the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator provided by the embodiment of the invention, in one embodiment, a stator flux linkage equation for eliminating a rotor current is determined according to the following method:
Figure BDA0002948399520000071
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle sd 、i sq Is the stator current; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; l is a radical of an alcohol ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is m The mutual inductance between the stator and the rotor is adopted.
The above mentioned expression for determining the stator flux linkage equation for canceling the rotor current is an example, and it can be understood by those skilled in the art that the above formula may be modified in certain forms and other parameters or data may be added as required, or other specific formulas may be provided, and such modifications are within the scope of the present invention.
In specific implementation of the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator provided by the embodiment of the invention, in one embodiment, an interface equation between the doubly-fed generator and an external system is determined according to the following mode:
Figure BDA0002948399520000072
in the above formula:
Figure BDA0002948399520000073
Figure BDA0002948399520000074
wherein u is sd 、u sq Is the stator voltage; i.e. i sd 、i sq Is the stator current; l is ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is m Mutual inductance between the stator and the rotor; psi rd 、ψ rq Is a rotor flux linkage; v' d Is d-axis transient electromotive force; v 'of' q Q-axis transient electromotive force; x' s Is a transient reactance; r is s Is a stator phase resistance; r is r Is the rotor phase resistance.
The aforementioned expressions for determining the interface equation of the doubly-fed generator and the external system are only examples, and those skilled in the art will understand that, in implementation, the above equations may be modified in some forms and other parameters or data may be added as needed, or other specific equations may be provided, and these modifications are all within the scope of the present invention.
In a specific embodiment of the method for modeling the voltage source type electromechanical transient of the excitation system of the doubly-fed generator according to the embodiment of the present invention, in an embodiment, the determining the ac excitation control model according to the voltage source type electromechanical transient model of the doubly-fed generator and an interface equation between the doubly-fed generator and an external system includes:
determining a generator rotor flux linkage equation according to an interface equation of the doubly-fed generator and an external system;
determining a stator current equation expressed by stator flux and rotor current according to a stator flux equation in a voltage source type electromechanical transient model of the doubly-fed generator;
substituting a stator current equation represented by stator flux and rotor current into a rotor flux equation to determine a rotor flux equation represented by the stator flux and the stator-rotor current;
substituting a rotor flux equation represented by the stator flux and the stator-rotor current into a rotor voltage equation to determine a rotor voltage equation represented by the stator flux and the rotor current;
determining an excitation regulator current inner ring control equation according to a rotor voltage equation represented by a stator flux linkage and a rotor current;
substituting the current inner ring control equation of the excitation regulator into the flux linkage equation of the generator rotor to determine the alternating-current excitation control model.
In the embodiment, in the process of studying the internal transient of the generator considering the excitation control action, the transient electromotive force variables defined in the equations (7) and (8) may be used. By cancelling rotor current and v' d 、v′ q The rotor flux linkage is expressed, and the generator rotor flux linkage equations expressed by the equations (9) and (10) can be obtained. A stator current equation (11)) expressed by the stator flux and the rotor current is obtained from the stator flux equation expressed by equation (3), and the rotor flux equation expressed by the stator flux and the stator-rotor current expressed by equation (12) is obtained by substituting equation (11) for equation (4); next, a rotor voltage equation (13) expressed by the stator flux linkage and the rotor current is determined by substituting a rotor flux linkage equation (12) expressed by the stator flux linkage and the stator-rotor current into the rotor voltage equation (2).
Although the active and reactive current components of the rotor are completely decoupled in the stator flux linkage orientation coordinate system, equation (13) shows that the excitation voltage component u rd And u rq The d-axis or q-axis current cannot be independently controlled, and in order to eliminate cross coupling, the excitation regulator control link often adopts hard feedback and corresponding feedforward control of the d-axis and q-axis currents of the rotor to inhibit the coupling. When the PI link is adopted for control, an excitation regulator current inner ring control equation (14) can be obtained; substituting the formula (14) into the generator rotor flux linkage equations represented by the formula (9) and the formula (10), simplifying and combining the same items, determining an alternating current excitation control model, and obtaining the alternating current excitation control block diagram shown in fig. 3.
In a specific implementation of the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator provided by the embodiment of the invention, in one embodiment, a generator rotor flux linkage equation is determined according to the following method:
Figure BDA0002948399520000081
Figure BDA0002948399520000082
v 'of the total' d D-axis transient electromotive force; v' q Q-axis transient electromotive force; i all right angle sd 、i sq Is the stator current; u. of rd 、u rq Is the rotor voltage; l is ss The self-inductance of the stator is obtained; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; l is rr Self-inductance of the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity;
Figure BDA0002948399520000091
T′ 0 representing the attenuation of the rotor transient when the stator is in an open circuit for a transient open circuit time constant; x S =ω s (L s +L m )=ω s L ss Xs is the generator reactance; x' s Is a transient reactance.
While the above-mentioned expressions for determining the flux linkage equation of the generator rotor are merely illustrative, it will be appreciated by those skilled in the art that the above equations may be modified in some manner and other parameters or data may be added or other specific equations may be provided as desired, and such modifications are intended to fall within the scope of the present invention. Inventive examples are provided by s (v ') as described above' q ) And s (v' d ) And the determined generator rotor flux linkage equation normalizes the variable frequency controller, the frequency converter and the generator linking module to realize the integration of a generator model and a variable frequency controller model.
In a specific implementation of the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator provided by the embodiment of the present invention, in an embodiment, a stator current equation represented by a stator flux linkage and a rotor current is determined as follows:
Figure BDA0002948399520000092
wherein i sd 、i sq Is the stator current; i.e. i rd 、i rq Is the rotor current; l is m Mutual inductance between the stator and the rotor; l is ss Self-inductance of the stator; psi sd 、ψ sq Is the stator flux linkage.
While the above-mentioned expressions for determining the stator current equation expressed by the stator flux linkage and the rotor current are merely illustrative, it will be understood by those skilled in the art that the above-mentioned equations may be modified in certain forms and other parameters or data may be added or other specific equations may be provided as required, and such modifications are intended to fall within the scope of the present invention.
In an embodiment of the invention, when the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator is specifically implemented, a rotor flux linkage equation represented by a stator flux linkage and a stator-rotor current is determined according to the following method:
Figure BDA0002948399520000093
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i.e. i rd 、i rq Is the rotor current; l is a radical of an alcohol ss Self-inductance of the stator; l is a radical of an alcohol rr Self-inductance of the rotor; l is m Is mutual inductance between the stator and the rotor.
While the above-mentioned expressions for determining the rotor flux equations represented by the stator flux and the stator and rotor currents are exemplary, it will be appreciated by those skilled in the art that the above equations may be modified and other parameters or data may be added or other specific equations may be provided as desired, and such modifications are intended to fall within the scope of the present invention.
In a specific implementation of the voltage source type electromechanical transient modeling method for the excitation system of the doubly-fed generator provided by the embodiment of the present invention, in an embodiment, a rotor voltage equation represented by a stator flux linkage and a rotor current is determined as follows:
Figure BDA0002948399520000101
namely, it is
Figure BDA0002948399520000102
Wherein u is rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i.e. i rd 、i rq Is the rotor current; l is ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is m Mutual inductance between the stator and the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; omega base Is a rated rotating speed;
Figure BDA0002948399520000111
R s is a stator phase resistance; r r Is the rotor phase resistance.
The above mentioned expressions for determining the rotor voltage equation represented by the stator flux linkage and the rotor current are examples, and it will be understood by those skilled in the art that the above equations may be modified in implementation and other parameters or data may be added as needed, or other specific equations may be provided, and such modifications are within the scope of the present invention.
In a specific implementation of the voltage source type electromechanical transient modeling method for the doubly-fed generator excitation system according to the embodiment of the present invention, in an embodiment, an excitation regulator current inner loop control equation is determined as follows:
Figure BDA0002948399520000112
wherein u is rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle rd 、i rq Is the rotor current; l is a radical of an alcohol ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is a radical of an alcohol m For stator and rotorMutual inductance; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; s is a differential operator after the Laplace transformation of a system dynamic equation; omega base Is a rated rotating speed;
Figure BDA0002948399520000113
K rd_p is the inner ring d-axis proportionality coefficient; k is rd_i Is an inner ring d-axis integral coefficient; k rq_p Is the q-axis proportion coefficient of the inner ring; k is rq_i Is the integral coefficient of the inner loop q-axis, i rdref For the rotor d-axis current reference value, i rqref Is a rotor q-axis current reference value.
While the above-mentioned expression for determining the control equation of the inner loop of the current of the field regulator is used as an example, those skilled in the art will appreciate that the above-mentioned expression may be modified in certain forms and other parameters or data may be added as required, or other specific expressions may be provided, and such modifications are intended to fall within the scope of the present invention.
Fig. 3 is an ac excitation control block diagram of a doubly-fed generator excitation system voltage source type electromechanical transient modeling method according to an embodiment of the present invention, and as shown in fig. 3, when the voltage source type electromechanical transient modeling method for the doubly-fed generator excitation system according to the embodiment of the present invention is specifically implemented, in an embodiment, an ac excitation control model is determined in the following manner:
Figure BDA0002948399520000114
Figure BDA0002948399520000115
wherein, v' d D-axis transient electromotive force; v's' q Q-axis transient electromotive force; i.e. i sd 、i sq Is the stator current; x S =ω s (L s +L m )=ω s L ss ,X′ s Is a transient reactance; xs is the generator reactance; l is ss Self-inductance of the stator; l is m Mutual inductance between the stator and the rotor; l is rr Self-inductance of the rotor; r is r Is a rotor phase resistance; s is a differential operator after the Laplace transformation of a system dynamic equation; k rd_p The proportional coefficient of the d axis of the inner ring is; k is rd_i Is an inner ring d-axis integral coefficient; k is rq_p Is the q-axis proportion coefficient of the inner ring; k is rq_i Is an inner loop q-axis integral coefficient, i rdref For rotor d-axis current reference value, i rqref Is a rotor q-axis current reference value.
The aforementioned expressions for determining the ac excitation control model are only examples, and those skilled in the art will understand that the above formulas may be modified in certain forms and other parameters or data may be added or other specific formulas may be provided according to needs, and such modifications are all within the scope of the present invention.
Fig. 4 is a schematic diagram of a voltage source type electromechanical transient model of a doubly-fed generator excitation system according to a voltage source type electromechanical transient modeling method of a doubly-fed generator excitation system in an embodiment of the present invention; in a specific implementation of the doubly-fed generator excitation system voltage source model electromechanical transient modeling method provided by the embodiment of the present invention, in an embodiment, the doubly-fed generator excitation system voltage source model electromechanical transient model shown in fig. 4 is determined according to the doubly-fed generator voltage source model electromechanical transient model and the alternating current excitation control model. Compared with a current source type electromechanical transient model of a doubly-fed generator excitation system, the model established by the embodiment of the invention keeps the dynamic characteristic of a current inner loop through the setting and matching of a PI parameter and a motor parameter; meanwhile, the generator is not equivalent to a current source, but rotor current is converted into rotor flux linkage through the action of the motor and then is injected into a stator voltage equation in the form of transient potential; in addition, the motor is equivalent to a voltage source form, the dynamic state of a motor rotor flux linkage is considered, and internal electric quantities such as rotor current and the like can be observed.
Fig. 5 (a) -5 (e) are simulation comparison results of a system voltage step-down opportunity electrical transient state and an electromagnetic transient state model of a doubly-fed generator excitation system voltage source type electromechanical transient state modeling method according to an embodiment of the present invention, and fig. 6 (a) -6 (e) are simulation comparison results of a system voltage step-up opportunity electrical transient state and an electromagnetic transient state model of a doubly-fed generator excitation system voltage source type electromechanical transient state modeling method according to an embodiment of the present invention. The model parameters are Fengning 300MW variable speed pumping and storage unit parameters, and specifically comprise: rated capacity 336MVA, rated power 300MW, stator voltage 15.75kV, turn ratio 2.439.
Considering the step response characteristic of the unit when the system voltage changes, and considering that the simulation working condition is the load rated working condition, when the system voltage drops from 218kV to 208kV, the simulation result is shown in fig. 5 (a) -5 (e), wherein,
FIG. 5 (a) shows the active power P in the simulation comparison between the transient and electromagnetic transient models at the time of the system voltage step spu And StathorP pu The simulation comparison (upper: electromechanical transient model; lower: electromagnetic transient model);
FIG. 5 (b) shows the reactive power Q in the simulation comparison of the transient voltage and electromagnetic transient model at the step-up of the system voltage spu And StasorQ pu The simulation comparison (upper: electromechanical transient model; lower: electromagnetic transient model);
FIG. 5 (c) shows the terminal voltage U in the simulation comparison of the transient voltage and the electromagnetic transient model at the system voltage step s Comparing with simulation of Mon1 (upper: electromechanical transient model; lower: electromagnetic transient model);
FIG. 5 (d) shows the d-axis component i of the exciting current in the simulation comparison of the transient and electromagnetic transient model at the time of the system voltage step rd And i rd The simulation comparison (upper: electromechanical transient model; lower: electromagnetic transient model);
FIG. 5 (e) shows the excitation current q-axis component i in the simulation comparison of the electrical transient and electromagnetic transient model at the time of the step-up of the system voltage rq And i rq The simulation comparison (upper: electromechanical transient model; lower: electromagnetic transient model).
Considering the step response characteristic of the unit when the system voltage changes, when the simulation working condition is the load rated working condition and the system voltage is increased from 208kV to 218kV, the simulation result is shown in fig. 6 (a) -6 (e), wherein,
FIG. 6 (a) shows the active power P in the simulation comparison between the electromechanical transient and the electromagnetic transient model at the time of the system voltage step-up spu And StathorP pu The simulation comparison (upper: electromechanical transient model; lower: electromagnetic transient model);
FIG. 6 (b) shows the reactive power Qspu and StathorQ in the simulation comparison of the transient and electromagnetic transient models during the voltage step of the system pu The simulation comparison (upper: electromechanical transient model; lower: electromagnetic transient model);
FIG. 6 (c) shows the terminal voltage U in the simulation comparison of the electromechanical transient and the electromagnetic transient model at the time of the system voltage step-up s Compared with the simulation of Mon1 (upper: electromechanical transient model; lower: electromagnetic transient model);
FIG. 6 (d) shows the excitation current d-axis component i in the simulation comparison of the electromechanical transient model and the electromagnetic transient model when the system voltage is stepped up rd And i rd The simulation comparison (upper: electromechanical transient model; lower: electromagnetic transient model);
FIG. 6 (e) shows the excitation current q-axis component i in the simulation comparison of the electromechanical transient model and the electromagnetic transient model at the system voltage step-up rq And i rq The simulation comparison (upper: electromechanical transient model; lower: electromagnetic transient model).
From the simulation results, the response waveform initial values of the electromechanical transient and the electromagnetic transient are slightly static, but the overall response waveform is basically consistent. In the case of a voltage step, the q-axis component of the rotor current is mainly influenced and exhibits a positive correlation, while the d-axis component of the rotor current and the reactive power have a dynamic response process, but the steady-state value is basically unchanged. The electromagnetic transient model considers the modulation effect of the frequency converter, the waveform slightly oscillates, and the step point of the power slightly differs from the electromechanical transient, but the integral analysis is not influenced, so that the correctness of the electromechanical transient model established by the voltage source type electromechanical transient modeling method of the doubly-fed generator excitation system provided by the embodiment of the invention is verified.
The embodiment of the invention reserves the dynamic process of the motor flux linkage and the dynamic characteristic of the inner ring of the controller, normalizes the variable frequency controller, the frequency converter and the generator connection module, realizes the integration of a generator model and a variable frequency controller model, and has important significance for researching the transient problem of the access of a large-capacity double-fed unit to a power grid.
Fig. 7 is a schematic diagram of a computer device for operating a voltage source type electromechanical transient modeling method of an excitation system of a doubly-fed generator according to an embodiment of the present invention, as shown in fig. 7, an embodiment of the present invention further provides a computer device, which includes a memory, a processor, and a computer program stored in the memory and operable on the processor, where when the computer program is executed by the processor, the voltage source type electromechanical transient modeling method of the excitation system of the doubly-fed generator is implemented.
An embodiment of the present invention further provides a computer-readable storage medium, where the computer-readable storage medium stores a computer program for executing the method for implementing the voltage source type electromechanical transient modeling of the excitation system of the doubly-fed generator.
The embodiment of the invention also provides a voltage source type electromechanical transient modeling device for an excitation system of a doubly-fed generator, which is described in the following embodiment. The principle of the device for solving the problems is similar to that of a voltage source type electromechanical transient modeling method of a doubly-fed generator excitation system, so the implementation of the device can refer to the implementation of the voltage source type electromechanical transient modeling method of the doubly-fed generator excitation system, and repeated parts are not repeated.
Fig. 8 is a schematic diagram of a voltage source type electromechanical transient modeling apparatus for an excitation system of a doubly-fed generator according to an embodiment of the present invention, and as shown in fig. 8, an embodiment of the present invention further provides a voltage source type electromechanical transient modeling apparatus for an excitation system of a doubly-fed generator, including:
a voltage source type electromechanical transient model establishing module 801 of the doubly-fed generator, configured to establish a voltage source type electromechanical transient model of the doubly-fed generator;
the interface equation determining module 802 of the doubly-fed generator and the external system is used for determining an interface equation of the doubly-fed generator and the external system according to the voltage source type electromechanical transient model of the doubly-fed generator;
the alternating-current excitation control model determining module 803 is used for determining an alternating-current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation between the doubly-fed generator and an external system;
the doubly-fed generator excitation system voltage source type electromechanical transient model determining module 804 is configured to determine a doubly-fed generator excitation system voltage source type electromechanical transient model according to the doubly-fed generator voltage source type electromechanical transient model and the alternating current excitation control model.
In an embodiment of the invention, when the voltage source type electromechanical transient modeling apparatus for the excitation system of the doubly-fed generator is implemented specifically, the voltage source type electromechanical transient model building module of the doubly-fed generator is specifically configured to:
adopting a generator convention for a stator side and adopting a motor convention for a rotor side, and establishing a voltage source type electromechanical transient model of the doubly-fed generator; the voltage source type electromechanical transient model of the doubly-fed generator comprises: and the double-fed generator is formed by a stator voltage equation, a rotor voltage equation, a stator flux linkage equation and a rotor flux linkage equation and has an equation set under a dq rotation coordinate system.
In an embodiment of the invention, when the voltage source type electromechanical transient modeling apparatus for the excitation system of the doubly-fed generator is specifically implemented, the voltage source type electromechanical transient model building module of the doubly-fed generator is further configured to build an equation set of the doubly-fed generator in a dq rotation coordinate system according to the following manner:
Figure BDA0002948399520000151
Figure BDA0002948399520000152
Figure BDA0002948399520000153
Figure BDA0002948399520000154
wherein u is sd 、u sq Is the stator voltage; u. of rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle sd 、i sq Is the stator current; i.e. i rd 、i rq Is the rotor current; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; omega base Is a rated rotating speed; l is ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; r s Is a stator phase resistance; r r Is a rotor phase resistance; p is the differential operator d/dt.
In specific implementation of the voltage source type electromechanical transient modeling apparatus for an excitation system of a doubly-fed generator provided in an embodiment of the present invention, in an embodiment, the module for determining an interface equation between the doubly-fed generator and an external system is specifically configured to:
determining a rotor current equation according to a rotor voltage equation in a voltage source type electromechanical transient model of the doubly-fed generator;
substituting the rotor current equation into the stator flux linkage equation to eliminate the rotor current in the stator flux linkage, and determining the stator flux linkage equation for eliminating the rotor current;
and substituting the stator flux linkage equation for eliminating the rotor current into a stator voltage equation to determine an interface equation of the doubly-fed generator and an external system.
In an embodiment of the invention, when the voltage source type electromechanical transient modeling apparatus for an excitation system of a doubly-fed generator is specifically implemented, the interface equation determining module of the doubly-fed generator and an external system is further configured to determine a stator flux linkage equation for canceling a rotor current according to the following manner:
Figure BDA0002948399520000161
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle sd 、i sq Is the stator current; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; l is ss Self-inductance of the stator; l is rr Self-inductance of the rotor; l is m The mutual inductance between the stator and the rotor is adopted.
In an embodiment, when the voltage source type electromechanical transient modeling apparatus for an excitation system of a doubly-fed generator provided by the embodiment of the present invention is specifically implemented, the interface equation determining module of the doubly-fed generator and an external system is further configured to determine an interface equation of the doubly-fed generator and the external system according to the following manner:
Figure BDA0002948399520000162
in the above formula:
Figure BDA0002948399520000163
Figure BDA0002948399520000164
wherein u is sd 、u sq Is the stator voltage; i.e. i sd 、i sq Is the stator current; l is ss Self-inductance of the stator; l is rr Self-inductance of the rotor; l is m Mutual inductance between the stator and the rotor; psi rd 、ψ rq Is a rotor flux linkage; v' d Is d-axis transient electromotive force; v's' q Q-axis transient electromotive force; x' s Is a transient reactance; r s Is a stator phase resistance; r is r Is the rotor phase resistance.
In specific implementation of the voltage source type electromechanical transient modeling apparatus for an excitation system of a doubly-fed generator according to an embodiment of the present invention, in an embodiment, the ac excitation control model determining module is specifically configured to:
determining a generator rotor flux linkage equation according to an interface equation of the doubly-fed generator and an external system;
determining a stator current equation expressed by stator flux and rotor current according to a stator flux equation in a voltage source type electromechanical transient model of the doubly-fed generator;
substituting a stator current equation represented by stator flux and rotor current into a rotor flux equation to determine a rotor flux equation represented by the stator flux and the stator-rotor current;
substituting a rotor flux equation represented by the stator flux and the stator and rotor currents into a rotor voltage equation to determine a rotor voltage equation represented by the stator flux and the rotor currents;
determining an excitation regulator current inner ring control equation according to a rotor voltage equation represented by a stator flux linkage and a rotor current;
substituting the current inner ring control equation of the excitation regulator into the flux linkage equation of the generator rotor to determine the alternating-current excitation control model.
In specific implementation of the voltage source type electromechanical transient modeling apparatus for the excitation system of the doubly-fed generator provided in the embodiment of the present invention, in an embodiment, the alternating-current excitation control model determining module is further configured to determine a generator rotor flux linkage equation according to the following manner:
Figure BDA0002948399520000171
Figure BDA0002948399520000172
wherein, v' d Is d-axis transient electromotive force; v' q Q-axis transient electromotive force; i.e. i sd 、i sq Is the stator current; u. of rd 、u rq Is the rotor voltage; l is a radical of an alcohol ss The self-inductance of the stator is obtained; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; l is a radical of an alcohol rr Self-inductance of the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity;
Figure BDA0002948399520000173
T′ 0 representing the attenuation of the rotor transient state when the stator is in an open circuit for a transient open circuit time constant; x S =ω s (L s +L m )=ω s L ss Xs is the generator reactance; x' s Is a transient reactance.
In an embodiment of the invention, when the doubly-fed generator excitation system voltage source model electromechanical transient modeling apparatus provided in the embodiment of the present invention is specifically implemented, the alternating current excitation control model determining module is further configured to determine a stator current equation represented by a stator flux linkage and a rotor current according to the following manner:
Figure BDA0002948399520000174
wherein i sd 、i sq Is the stator current; (ii) a i all right angle rd 、i rq Is the rotor current; l is m Mutual inductance between the stator and the rotor; l is a radical of an alcohol ss Self-inductance of the stator; psi sd 、ψ sq Is the stator flux linkage.
In an embodiment, when the voltage source type electromechanical transient modeling apparatus for an excitation system of a doubly-fed generator provided in an embodiment of the present invention is implemented specifically, the alternating-current excitation control model determining module is further configured to determine a rotor flux linkage equation represented by a stator flux linkage and a stator-rotor current according to the following manner:
Figure BDA0002948399520000181
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i.e. i rd 、i rq Is the rotor current; l is a radical of an alcohol ss Self-inductance of the stator; l is rr Self-inductance of the rotor; l is m The mutual inductance between the stator and the rotor is adopted.
In a specific implementation of the voltage source type electromechanical transient modeling apparatus for the doubly-fed generator excitation system according to the embodiment of the present invention, in an embodiment, the alternating-current excitation control model determining module is further configured to determine a rotor voltage equation represented by a stator flux linkage and a rotor current according to the following manner:
Figure BDA0002948399520000182
wherein u is rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle rd 、i rq Is the rotor current; l is ss Self-inductance of the stator; l is a radical of an alcohol rr Self-inductance of the rotor; l is m Mutual inductance between the stator and the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; omega base Is a rated rotating speed;
Figure BDA0002948399520000183
R s is a stator phase resistance; r r Is the rotor phase resistance.
In an embodiment of the invention, when the doubly-fed generator excitation system voltage source model electromechanical transient modeling apparatus provided in the embodiment of the present invention is specifically implemented, the alternating current excitation control model determining module is further configured to determine an excitation regulator current inner loop control equation according to the following manner:
Figure BDA0002948399520000184
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i.e. i rd 、i rq Is the rotor current; u. u rd 、u rq Is the rotor voltage; l is a radical of an alcohol ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is m Mutual inductance between the stator and the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Is as follows; omega r Is as follows; s is a differential operator after the Laplace transformation of a system dynamic equation; omega base Is a rated rotating speed;
Figure BDA0002948399520000185
K rd_p the proportional coefficient of the d axis of the inner ring is; k rd_i Is an inner ring d-axis integral coefficient; k rq_p Is the q-axis proportion coefficient of the inner ring; k rq_i Is an inner loop q-axis integral coefficient, i rdref For rotor d-axis current reference value, i rqref Is a rotor q-axis current reference value.
In an embodiment of the invention, when the doubly-fed generator excitation system voltage source model electromechanical transient modeling apparatus provided in the embodiment of the present invention is specifically implemented, the alternating current excitation control model determining module is further configured to determine the alternating current excitation control model according to the following manner:
Figure BDA0002948399520000191
Figure BDA0002948399520000192
wherein, v' d Is d-axis transient electromotive force; v' q Q-axis transient electromotive force; i.e. i sd 、i sq Is the stator current; x S =ω s (L s +L m )=ω s L ss ,X′ s Is a transient reactance; xs is the generator reactance; l is ss The self-inductance of the stator is obtained; l is a radical of an alcohol m Between stator and rotorMutual inductance; l is rr Self-inductance of the rotor; s is a differential operator after the Laplace transformation of a system dynamic equation; k rd_p The proportional coefficient of the d axis of the inner ring is; k rd_i Is the inner ring d-axis integral coefficient; k rq_p Is the inner ring q axis proportionality coefficient; k rq_i Is an inner loop q-axis integral coefficient, i rdref For rotor d-axis current reference value, i rqref Is a rotor q-axis current reference value.
To sum up, the embodiment of the invention provides a voltage source type electromechanical transient modeling method and device for an excitation system of a doubly-fed generator; firstly, establishing a voltage source type electromechanical transient model of the doubly-fed generator; then determining an interface equation of the doubly-fed generator and an external system according to a voltage source type electromechanical transient model of the doubly-fed generator; then, determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation of the doubly-fed generator and an external system; and finally, determining the voltage source type electromechanical transient model of the excitation system of the doubly-fed generator according to the voltage source type electromechanical transient model and the alternating current excitation control model of the doubly-fed generator. The invention provides a brand-new voltage source type electromechanical transient modeling method for a doubly-fed generator excitation system, which normalizes a variable frequency controller, a frequency converter and a generator connection module and realizes the integration of a generator model and a variable frequency controller model. Compared with the current source type electromechanical transient model of the existing doubly-fed machine excitation system, the voltage source type electromechanical transient modeling method of the doubly-fed generator excitation system provided by the invention is characterized by reserving the dynamic process of a motor flux linkage and the dynamic characteristic of a controller inner ring, and has important significance for researching the transient problem that a large-capacity doubly-fed machine set is connected into a power grid.
Compared with a current source type electromechanical transient model of a doubly-fed generator excitation system, the model established by the embodiment of the invention keeps the dynamic characteristic of a current inner loop through the setting and matching of a PI parameter and a motor parameter; meanwhile, the generator is not equivalent to a current source, but rotor current is converted into rotor flux linkage through the action of the motor and then is injected into a stator voltage equation in the form of transient potential; in addition, the motor is equivalent to a voltage source mode, the dynamic state of a rotor flux linkage of the motor is considered, and internal electric quantities such as rotor current and the like can be observed.
The embodiment of the invention reserves the dynamic process of the motor flux linkage and the dynamic characteristic of the inner ring of the controller, normalizes the variable frequency controller, the frequency converter and the generator connection module, realizes the integration of a generator model and a variable frequency controller model, and has important significance for researching the transient problem of the large-capacity double-fed unit connected to the power grid.
Compared with a current source type electromechanical transient model of a doubly-fed generator excitation system, the voltage source type electromechanical transient modeling method of the doubly-fed generator excitation system provided by the embodiment of the invention has the advantages that the model established by the method keeps the dynamic characteristic of a current inner loop through the setting and matching of PI parameters and motor parameters; meanwhile, the generator is not equivalent to a current source, but rotor current is converted into rotor flux linkage through the action of the motor and then is injected into a stator voltage equation in the form of transient potential; in addition, the motor is equivalent to a voltage source mode, the dynamic state of a rotor flux linkage of the motor is considered, and internal electric quantities such as rotor current and the like can be observed.
As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present invention has been described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block of the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The above-mentioned embodiments are intended to illustrate the objects, technical solutions and advantages of the present invention in further detail, and it should be understood that the above-mentioned embodiments are only exemplary embodiments of the present invention, and are not intended to limit the scope of the present invention, and any modifications, equivalent substitutions, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (26)

1. A doubly-fed generator excitation system voltage source type electromechanical transient modeling method is characterized by comprising the following steps:
establishing a voltage source type electromechanical transient model of the doubly-fed generator;
determining an interface equation of the doubly-fed generator and an external system according to a voltage source type electromechanical transient model of the doubly-fed generator;
determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation of the doubly-fed generator and an external system;
determining a voltage source type electromechanical transient model of a doubly-fed generator excitation system according to a voltage source type electromechanical transient model and an alternating current excitation control model of the doubly-fed generator;
wherein, according to the voltage source type electromechanical transient state model of doubly-fed generator and external system's interface equation, confirm the excitation control model of interchange, include:
determining a generator rotor flux linkage equation according to an interface equation of the doubly-fed generator and an external system;
determining a stator current equation expressed by stator flux and rotor current according to a stator flux equation in a voltage source type electromechanical transient model of the doubly-fed generator;
substituting a stator current equation represented by stator flux and rotor current into a rotor flux equation to determine a rotor flux equation represented by the stator flux and the stator-rotor current;
substituting a rotor flux equation represented by the stator flux and the stator-rotor current into a rotor voltage equation to determine a rotor voltage equation represented by the stator flux and the rotor current;
determining an excitation regulator current inner ring control equation according to a rotor voltage equation represented by a stator flux linkage and a rotor current;
substituting the current inner ring control equation of the excitation regulator into the flux linkage equation of the generator rotor to determine the alternating-current excitation control model.
2. The method of claim 1, wherein establishing a voltage source type electromechanical transient model of a doubly fed generator comprises:
adopting a generator convention on a stator side and adopting a motor convention on a rotor side to establish a voltage source type electromechanical transient model of the doubly-fed generator; the voltage source type electromechanical transient model of the doubly-fed generator comprises: and the double-fed generator is formed by a stator voltage equation, a rotor voltage equation, a stator flux linkage equation and a rotor flux linkage equation and forms an equation set under the dq rotation coordinate system.
3. The method of claim 2, wherein the system of equations of the doubly fed generator in the dq rotation coordinate system is established as follows:
Figure FDA0003900141060000021
Figure FDA0003900141060000022
Figure FDA0003900141060000023
Figure FDA0003900141060000024
wherein u is sd 、u sq Is the stator voltage; u. of rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i.e. i sd 、i sq Is the stator current; i all right angle rd 、i rq Is the rotor current; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; omega base Is a rated rotating speed; l is ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is m Mutual inductance between the stator and the rotor; r s Is a stator phase resistance; r is r Is a rotor phase resistance; p is the differential operator d/dt.
4. The method of claim 2, wherein determining an interface equation of the doubly fed generator with the external system based on the voltage source type electromechanical transient model of the doubly fed generator comprises:
determining a rotor current equation according to a rotor voltage equation in a voltage source type electromechanical transient model of the doubly-fed generator;
substituting the rotor current equation into the stator flux linkage equation to eliminate the rotor current in the stator flux linkage, and determining the stator flux linkage equation for eliminating the rotor current;
and substituting the stator flux linkage equation for eliminating the rotor current into a stator voltage equation to determine an interface equation of the doubly-fed generator and an external system.
5. The method of claim 4, wherein the stator flux linkage equation that cancels the rotor current is determined as follows:
Figure FDA0003900141060000025
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle sd 、i sq Is the stator current; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; l is a radical of an alcohol ss The self-inductance of the stator is obtained; l is a radical of an alcohol rr Self-inductance of the rotor; l is m Is mutual inductance between the stator and the rotor.
6. The method of claim 4, wherein the interface equation of the doubly fed generator with the external system is determined as follows:
Figure FDA0003900141060000031
in the above formula:
Figure FDA0003900141060000032
Figure FDA0003900141060000033
wherein u is sd 、u sq Is the stator voltage; i all right angle sd 、i sq Is the stator current; l is ss The self-inductance of the stator is obtained; l is rr Self-inductance of the rotor; l is m Mutual inductance between the stator and the rotor; psi rd 、ψ rq Is a rotor flux linkage; v' d Is d-axis transient electromotive force; v's' q Q-axis transient electromotive force; x' s Is a transient reactance; r s Is the stator phase resistance.
7. The method of claim 1, wherein the generator rotor flux linkage equation is determined as follows:
Figure FDA0003900141060000034
Figure FDA0003900141060000035
wherein nu' d Is d-axis transient electromotive force; v' q Q-axis transient electromotive force; i.e. i sd 、i sq Is the stator current; u. of rd 、u rq Is the rotor voltage; l is ss Self-inductance of the stator; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; l is rr Self-inductance of the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity;
Figure FDA0003900141060000036
T′ 0 representing the attenuation of the rotor transient when the stator is in an open circuit for a transient open circuit time constant; x S =ω s (L s +L m )=ω s L ss Xs is the generator reactance; x' s Is a transient reactance.
8. The method of claim 1, wherein the stator current equation expressed in terms of stator flux linkage and rotor current is determined as follows:
Figure FDA0003900141060000041
wherein i sd 、i sq Is the stator current; i.e. i rd 、i rq Is the rotor current; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; l is a radical of an alcohol ss The self-inductance of the stator is obtained; psi sd 、ψ sq Is the stator flux linkage.
9. The method of claim 1, wherein the rotor flux linkage equation represented by stator flux linkage and stator-rotor current is determined as follows:
Figure FDA0003900141060000042
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle rd 、i rq Is the rotor current; l is ss Self-inductance of the stator; l is a radical of an alcohol rr Self-inductance of the rotor; l is m The mutual inductance between the stator and the rotor is adopted.
10. The method of claim 1, wherein the rotor voltage equation represented by the stator flux linkage and the rotor current is determined as follows:
Figure FDA0003900141060000043
wherein u is rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; i.e. i rd 、i rq Is the rotor current; l is ss Is self-inductance of stator;L rr Self-inductance of the rotor; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; omega base Is a rated rotating speed;
Figure FDA0003900141060000044
R r is the rotor phase resistance.
11. The method of claim 1, wherein the excitation regulator current inner loop control equation is determined as follows:
Figure FDA0003900141060000045
wherein u is rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; i all right angle rd 、i rq Is the rotor current; l is a radical of an alcohol ss The self-inductance of the stator is obtained; l is a radical of an alcohol rr Self-inductance of the rotor; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; s is a differential operator after the Laplace transformation of a system dynamic equation; omega base Is a rated rotating speed;
Figure FDA0003900141060000051
K rd_p is the inner ring d-axis proportionality coefficient; k is rd_i Is the inner ring d-axis integral coefficient; k rq_p Is the q-axis proportion coefficient of the inner ring; k rq_i Is an inner loop q-axis integral coefficient, i rdref For rotor d-axis current reference value, i rqref Is a rotor q-axis current reference value.
12. The method of claim 1, wherein the ac excitation control model is determined as follows:
Figure FDA0003900141060000052
Figure FDA0003900141060000053
v 'of the total' d Is d-axis transient electromotive force; v' q Q-axis transient electromotive force; i.e. i sd 、i sq Is the stator current; x S =ω s (L s +L m )=ω s L ss ,X′ s Is a transient reactance; xs is the generator reactance; l is ss The self-inductance of the stator is obtained; l is m Mutual inductance between the stator and the rotor; l is rr Self-inductance of the rotor; r r Is a rotor phase resistance; s is a differential operator after the Laplace transformation of a system dynamic equation; k rd_p The proportional coefficient of the d axis of the inner ring is; k rd_i Is an inner ring d-axis integral coefficient; k rq_p Is the inner ring q axis proportionality coefficient; k rq_i Is the integral coefficient of the inner loop q-axis, i rdref For rotor d-axis current reference value, i rqref Is a rotor q-axis current reference value.
13. A doubly-fed generator excitation system voltage source type electromechanical transient state modeling device is characterized by comprising:
the voltage source type electromechanical transient model building module of the doubly-fed generator is used for building a voltage source type electromechanical transient model of the doubly-fed generator;
the interface equation determining module of the doubly-fed generator and the external system is used for determining an interface equation of the doubly-fed generator and the external system according to the voltage source type electromechanical transient model of the doubly-fed generator;
the alternating current excitation control model determining module is used for determining an alternating current excitation control model according to a voltage source type electromechanical transient model of the doubly-fed generator and an interface equation between the doubly-fed generator and an external system;
the doubly-fed generator excitation system voltage source type electromechanical transient model determining module is used for determining a doubly-fed generator excitation system voltage source type electromechanical transient model according to a voltage source type electromechanical transient model and an alternating current excitation control model of a doubly-fed generator;
the alternating current excitation control model determining module is specifically used for:
determining a generator rotor flux linkage equation according to an interface equation of the doubly-fed generator and an external system;
determining a stator current equation expressed by stator flux and rotor current according to a stator flux equation in a voltage source type electromechanical transient model of the doubly-fed generator;
substituting a stator current equation represented by stator flux and rotor current into a rotor flux equation to determine a rotor flux equation represented by the stator flux and the stator and rotor currents;
substituting a rotor flux equation represented by the stator flux and the stator and rotor currents into a rotor voltage equation to determine a rotor voltage equation represented by the stator flux and the rotor currents;
determining an excitation regulator current inner ring control equation according to a rotor voltage equation represented by a stator flux linkage and a rotor current;
substituting the current inner ring control equation of the excitation regulator into the flux linkage equation of the generator rotor to determine the alternating-current excitation control model.
14. The apparatus according to claim 13, characterized by a voltage source type electromechanical transient modeling module of the doubly fed generator, specifically configured to:
adopting a generator convention for a stator side and adopting a motor convention for a rotor side, and establishing a voltage source type electromechanical transient model of the doubly-fed generator; the voltage source type electromechanical transient model of the doubly-fed generator comprises: and the double-fed generator is formed by a stator voltage equation, a rotor voltage equation, a stator flux linkage equation and a rotor flux linkage equation and has an equation set under a dq rotation coordinate system.
15. The apparatus of claim 14, wherein the voltage source type electromechanical transient modeling module of the doubly fed generator is further configured to set up a system of equations of the doubly fed generator in the dq rotation coordinate system as follows:
Figure FDA0003900141060000061
Figure FDA0003900141060000062
Figure FDA0003900141060000063
Figure FDA0003900141060000064
wherein u is sd 、u sq Is the stator voltage; u. u rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i all right angle sd 、i sq Is the stator current; i.e. i rd 、i rq Is the rotor current; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; omega base Is a rated rotating speed; l is a radical of an alcohol ss Self-inductance of the stator; l is a radical of an alcohol rr Self-inductance of the rotor; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; r is s Is a stator phase resistance; r r Is a rotor phase resistance; p is the differential operator d/dt.
16. The apparatus of claim 14, wherein the interface equation determination module of the doubly fed generator and the external system is specifically configured to:
determining a rotor current equation according to a rotor voltage equation in a voltage source type electromechanical transient model of the doubly-fed generator;
substituting the rotor current equation into the stator flux linkage equation to eliminate the rotor current in the stator flux linkage, and determining the stator flux linkage equation for eliminating the rotor current;
and substituting the stator flux linkage equation for eliminating the rotor current into a stator voltage equation to determine an interface equation of the doubly-fed generator and an external system.
17. The apparatus of claim 16, wherein the interface equation determining module of the doubly fed generator to the external system is further configured to determine the stator flux linkage equation for canceling the rotor current as follows:
Figure FDA0003900141060000071
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i.e. i sd 、i sq Is the stator current; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; l is a radical of an alcohol ss The self-inductance of the stator is obtained; l is a radical of an alcohol rr Self-inductance of the rotor; l is a radical of an alcohol m Is mutual inductance between the stator and the rotor.
18. The apparatus of claim 16, wherein the module for determining the interface equation of the doubly fed generator with the external system is further configured to determine the interface equation of the doubly fed generator with the external system as follows:
Figure FDA0003900141060000072
in the above formula:
Figure FDA0003900141060000073
Figure FDA0003900141060000074
wherein u is sd 、u sq Is the stator voltage; i.e. i sd 、i sq Is the stator current; l is a radical of an alcohol ss Self-inductance of the stator; l is rr Self-inductance of the rotor; l is m Mutual inductance between the stator and the rotor; psi rd 、ψ rq Is a rotor flux linkage; v' d Is d-axis transient electromotive force; v' q Q-axis transient electromotive force; x' s Is a transient reactance; r s Is the stator phase resistance.
19. The apparatus of claim 13, wherein the ac excitation control model determining module is further configured to determine a generator rotor flux linkage equation as follows:
Figure FDA0003900141060000081
Figure FDA0003900141060000082
wherein, v' d D-axis transient electromotive force; v' q Q-axis transient electromotive force; i all right angle sd 、i sq Is the stator current; u. of rd 、u rq Is the rotor voltage; l is ss The self-inductance of the stator is obtained; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; l is rr Self-inductance of the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity;
Figure FDA0003900141060000083
T 0 ' is a transient open-circuit time constant, which represents the attenuation of the rotor transient when the stator is open-circuited; x S =ω s (L s +L m )=ω s L ss Xs is the generator reactance; x' s Is a transient reactance.
20. The apparatus of claim 13, wherein the ac excitation control model determination module is further configured to determine a stator current equation expressed in terms of stator flux linkage and rotor current as follows:
Figure FDA0003900141060000084
wherein i sd 、i sq Is the stator current; i all right angle rd 、i rq Is the rotor current; l is m Mutual inductance between the stator and the rotor; l is ss The self-inductance of the stator is obtained; psi sd 、ψ sq Is the stator flux linkage.
21. The apparatus of claim 13, wherein the ac excitation control model determination module is further configured to determine a rotor flux linkage equation represented by stator flux linkages and stator and rotor currents as follows:
Figure FDA0003900141060000085
wherein psi sd 、ψ sq A stator flux linkage; psi rd 、ψ rq Is a rotor flux linkage; i.e. i rd 、i rq Is the rotor current; l is ss Self-inductance of the stator; l is a radical of an alcohol rr Self-inductance of the rotor; l is a radical of an alcohol m The mutual inductance between the stator and the rotor is adopted.
22. The apparatus of claim 13, wherein the ac excitation control model determination module is further configured to determine a rotor voltage equation represented by stator flux linkage and rotor current as follows:
Figure FDA0003900141060000091
wherein u is rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; i.e. i rd 、i rq Is the rotor current; l is ss The self-inductance of the stator is obtained; l is a radical of an alcohol rr Self-inductance of the rotor; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; omega base Is a rated rotating speed;
Figure FDA0003900141060000092
R r is the rotor phase resistance.
23. The apparatus of claim 13, wherein the ac excitation control model determination module is further configured to determine the excitation regulator current inner loop control equation as follows
Figure FDA0003900141060000093
Wherein u is rd 、u rq Is the rotor voltage; psi sd 、ψ sq A stator flux linkage; i.e. i rd 、i rq Is the rotor current; l is ss Self-inductance of the stator; l is rr Self-inductance of the rotor; l is a radical of an alcohol m Mutual inductance between the stator and the rotor; omega 2 =ω sr Is the slip angular velocity; omega s Synchronizing the angular frequency for the system; omega r Is the rotor rotational angular velocity; s is a differential operator after the Laplace transformation of the system dynamic equation; omega base Is a rated rotating speed;
Figure FDA0003900141060000094
K rd_p the proportional coefficient of the d axis of the inner ring is; k rd_i Is an inner ring d-axis integral coefficient; k rq_p Is the inner ring q axis proportionality coefficient; k is rq_i Is the integral coefficient of the inner loop q-axis, i rdref For rotor d-axis current reference value, i rqref Is a rotor q-axis current reference value.
24. The apparatus of claim 13, wherein the ac excitation control model determining module is further configured to determine the ac excitation control model as follows
Figure FDA0003900141060000095
Figure FDA0003900141060000096
V 'of the total' d Is d-axis transient electromotive force; v' q Q-axis transient electromotive force; i all right angle sd 、i sq Is the stator current; x S =ω s (L s +L m )=ω s L ss ,X′ s Is a transient reactance; xs is the generator reactance; l is ss The self-inductance of the stator is obtained; l is m Mutual inductance between the stator and the rotor; l is rr Self-inductance of the rotor; r is r Is a rotor phase resistance; s is a differential operator after the Laplace transformation of a system dynamic equation; k rd_p Is the inner ring d-axis proportionality coefficient; k is rd_i Is an inner ring d-axis integral coefficient; k rq_p Is the q-axis proportion coefficient of the inner ring; k is rq_i Is an inner loop q-axis integral coefficient, i rdref For rotor d-axis current reference value, i rqref Is a rotor q-axis current reference value.
25. A computer arrangement comprising a memory, a processor and a computer program stored on the memory and executable on the processor, characterized in that the processor implements the method of any of claims 1 to 12 when executing the computer program.
26. A computer-readable storage medium, characterized in that the computer-readable storage medium stores a computer program for executing a method according to any one of claims 1 to 12.
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