CN117977691A - Droop control coefficient design method and system considering fan rotation speed constraint - Google Patents

Droop control coefficient design method and system considering fan rotation speed constraint Download PDF

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Publication number
CN117977691A
CN117977691A CN202410165266.5A CN202410165266A CN117977691A CN 117977691 A CN117977691 A CN 117977691A CN 202410165266 A CN202410165266 A CN 202410165266A CN 117977691 A CN117977691 A CN 117977691A
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fan
coefficient
sagging
rotation speed
droop control
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李宇骏
李文博
杜正春
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Xian Jiaotong University
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Xian Jiaotong University
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Abstract

The invention discloses a droop control coefficient design method and system considering fan rotation speed constraint, which establishes a grid-connected fan dynamic response model based on droop control, obtains a linearization model near an MPPT (maximum power point) through linearization means, and analyzes the dynamic behavior of a fan near the MPPT; analyzing conditions which need to be met by the sagging coefficient when the balance point of the system exists according to the established dynamic response model of the grid-connected fan; establishing an equation set for describing the relation between the lowest rotating speed point of the fan and the sagging coefficient; and (3) obtaining a sequence of a set of droop coefficients by continuously solving a nonlinear equation set by utilizing a specific term in different coefficient scaling equations, obtaining a conservative estimation of the maximum droop coefficient for avoiding the fan rotating speed out-of-range in the transient process by taking the minimum value, and obtaining a droop control coefficient design method considering the fan rotating speed constraint. The invention can effectively utilize the kinetic energy of the fan rotor to provide frequency support for the system and ensure the safe operation of the fan.

Description

Droop control coefficient design method and system considering fan rotation speed constraint
Technical Field
The invention belongs to the technical field of electric power, and particularly relates to a droop control coefficient design method and system considering fan rotation speed constraint.
Background
Grid Formation (GFM) converters based on droop control are widely used because of their greater adaptability to weak ac power grids than Grid Formation (GFL) converters. Wind turbines based on droop control have the ability to provide a system frequency and inertial response during frequency events. Is considered to be an effective means of providing frequency and inertial support for modern high-scale power electronic power systems.
At present, droop coefficients are often configured empirically in droop control applications, and the goal is to mainly provide frequency support for the system, ignoring dynamic processes of the fan rotor during transients. The droop coefficient is configured by an empirical method, so that the kinetic energy of the fan rotor cannot be fully utilized, and in certain extreme cases, the transient out-of-range of the rotating speed of the fan can be caused, so that the serious accident of off-grid of the fan is caused. Therefore, how to provide a design method of sagging control coefficients considering the rotation speed constraint of a fan, and provide guidance for configuring sagging coefficients of the fan, is a problem to be solved urgently.
Disclosure of Invention
The invention aims to solve the technical problems that aiming at the defects in the prior art, a sagging control coefficient design method and a sagging control coefficient design system considering the rotation speed constraint of a fan are provided, and the method and the system are used for solving the technical problems that the configuration of parameters of a net-structured fan based on sagging control is difficult, and the existing method is easy to cause excessive deceleration of the fan to cause net detachment.
The invention adopts the following technical scheme:
a droop control coefficient design method considering fan rotation speed constraint comprises the following steps:
Establishing a grid-connected fan dynamic response model based on droop control, deducing a linearization model of the fan near an MPPT point, and analyzing the direction relation of fan rotating speed deviation and frequency deviation;
According to the obtained linearization model, analyzing that a sagging coefficient meets the condition when a grid-connected fan system balance point based on sagging control exists;
Establishing an equation set for describing the relation between the lowest point of the rotating speed of the fan and the sagging coefficient according to the obtained dynamic response model, and obtaining a sagging coefficient configuration method for avoiding the out-of-range rotating speed of the fan in the transient process by utilizing a scaling skill and solving the equation set;
And obtaining a sag coefficient boundary considering the rotation speed constraint of the fan by combining the obtained sag coefficient meeting the condition and the obtained sag coefficient configuration method.
Preferably, the linearization model of the fan around the MPPT point is as follows:
Wherein Δω r,Δfe is fan rotational speed deviation and frequency deviation, r p is droop coefficient, ω ropt is MPPT rotational speed, and C is a constant.
More preferably, the dynamic response model of the grid-connected fan based on droop control is as follows:
wherein f, f 0 is the actual system frequency and the rated frequency respectively, Respectively representing the electromagnetic power and the electromagnetic power reference value of the fan, wherein omega r is the rotating speed of the fan; t J is the inertial time constant of the fan, P m is the mechanical power of the fan, g (omega r) is a quadratic function of the rotational speed, and C is a constant.
Preferably, the sag factor satisfies the condition:
Wherein, For the rotational speed of the fan when reaching steady state, r p is the sag coefficient, C is a constant, and r pepe is the maximum sag coefficient that ensures that the equilibrium point exists.
More preferably, the rotational speed of the fan reaches steady stateThe method comprises the following steps:
Where a 1,a2 is the coefficient of the quadratic function of the approximate mechanical power curve.
Preferably, the set of equations describing the relationship of the lowest fan speed point to the droop coefficient is established as follows:
f(tend)=fend
Wherein ω rmin is the allowable minimum rotation speed, r pu is the maximum sag coefficient for avoiding the fan rotation speed from crossing the boundary, t end,fend is the time when the fan rotation speed reaches the minimum point and the frequency at the time, and f (t) is the classical second-order system frequency response function.
More preferably, the classical second-order system frequency response function f (t) is
Wherein DeltaP d represents the power disturbance magnitude,Is the relevant parameter obtained according to the actual curve identification.
Preferably, a conservative estimate of r pu is obtained using scaling techniques and non-linear equation solutions as follows:
rpmax=min{rpu}
Where r pu={rpu,i represents the sequence of solutions for a set of r pu obtained by solving the established multivariate equation after scaling a with different coefficients.
Preferably, the sag factor taking into account the fan speed constraint satisfies the following condition:
rp<min{rpepe,rpmax}
wherein, r pepe,rpmax is the maximum sagging coefficient for ensuring the existence of the balance point and the maximum sagging coefficient for avoiding the fan rotating speed from crossing the boundary respectively.
In a second aspect, an embodiment of the present invention provides a droop control coefficient design system considering a fan rotation speed constraint, including:
The deriving module is used for establishing a dynamic response model of the grid-connected fan based on droop control, deriving a linearization model of the fan near the MPPT point and analyzing the direction relation between the fan rotating speed deviation and the frequency deviation;
the condition module is used for analyzing that the sagging coefficient meets the condition when the grid-connected fan system balance point based on sagging control exists according to the linearization model obtained by the deriving module;
The solving module is used for establishing an equation set for describing the connection between the lowest point of the rotating speed of the fan and the sagging coefficient according to the dynamic response model obtained by the deriving module, and obtaining a sagging coefficient configuration method for avoiding the out-of-range rotating speed of the fan in the transient process by utilizing the scaling skill and solving the equation set;
And the design module is used for obtaining a sagging coefficient boundary considering the rotation speed constraint of the fan by integrating the sagging coefficient meeting conditions obtained by the condition module and the sagging coefficient configuration method obtained by the solving module.
In a third aspect, a chip includes a memory, a processor, and a computer program stored in the memory and executable on the processor, where the processor implements the steps of the droop control coefficient design method described above that take into account fan speed constraints when executing the computer program.
In a fourth aspect, an embodiment of the present invention provides an electronic device, including a computer program, where the computer program when executed by the electronic device implements the steps of the droop control coefficient design method that consider the fan rotation speed constraint.
Compared with the prior art, the invention has at least the following beneficial effects:
The design method of the sagging control coefficient considering the constraint of the rotating speed of the fan can provide guidance for configuring parameters of a net-structured fan based on sagging control, effectively utilizes the kinetic energy of a fan rotor to provide frequency support for a system while ensuring that the rotating speed of the fan does not cross the boundary in the transient process, and aims to examine the dynamic behavior of a fan grid-connected system based on sagging control from multiple angles and provide a conservative parameter configuration method.
Furthermore, a linearization model of the fan near the MPPT point provides a model basis for analysis of the direction relationship between the rotation speed deviation and the frequency deviation of the subsequent fan.
Further, a dynamic response model of the grid-connected fan based on droop control establishes a basic mathematical model for the analysis of the steps S2 and S3.
Further, the purpose of setting the sag factor meeting the condition is to deduce a necessary condition for stabilizing the grid-connected system of the fan based on sag control, namely that the balance point of the system exists.
Further, the objective of establishing the set of equations describing the relationship between the lowest rotational speed point of the blower and the sag factor is to establish the relationship between the sag factor and the lowest rotational speed point; the advantage is that the corresponding droop coefficient can be calculated by setting the desired rotational speed nadir.
Furthermore, the purpose of obtaining a conservative estimation setting of r pu by using a scaling skill and a nonlinear equation solution is to obtain a conservative upper bound of the sagging coefficient through simple mathematical operation, so as to avoid the out-of-limit of the lowest point of the rotating speed of the fan.
Further, the droop coefficient meeting the condition setting considering the fan rotation speed constraint has the advantage that the existence of a balance point of the fan grid-connected system based on droop control can be ensured when the droop coefficient obtained by calculation is applied; the fan can be prevented from being off-grid due to excessive deceleration.
It will be appreciated that the advantages of the second aspect may be found in the relevant description of the first aspect, and will not be described in detail herein.
In summary, the dynamic process of the grid-structured fan based on sagging control is analyzed to obtain the sagging coefficient design method considering the steady-state and transient constraints of the rotating speed of the fan, so that the kinetic energy of the fan rotor can be effectively utilized to provide frequency support for the system, and meanwhile, the safe operation of the fan is ensured.
The technical scheme of the invention is further described in detail through the drawings and the embodiments.
Drawings
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a schematic diagram of the equilibrium point position of the system;
FIG. 3 is a schematic diagram of a conservative estimation method of r pu;
FIG. 4 is a graph of fan speed for different wind speeds using the proposed method;
Fig. 5 is a schematic diagram of a computer device according to an embodiment of the invention.
Fig. 6 is a block diagram of a chip according to an embodiment of the present invention.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and fully with reference to the accompanying drawings, in which it is evident that the embodiments described are some, but not all embodiments of the invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
In the description of the present invention, it will be understood that the terms "comprises" and "comprising," when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
It is also to be understood that the terminology used in the description of the invention is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used in this specification and the appended claims, the singular forms "a," "an," and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise.
It should be further understood that the term "and/or" as used in the present specification and the appended claims refers to any and all possible combinations of one or more of the associated listed items, and includes such combinations, e.g., a and/or B, may represent: a exists alone, A and B exist together, and B exists alone. In the present invention, the character "/" generally indicates that the front and rear related objects are an or relationship.
It should be understood that although the terms first, second, third, etc. may be used to describe the preset ranges, etc. in the embodiments of the present invention, these preset ranges should not be limited to these terms. These terms are only used to distinguish one preset range from another. For example, a first preset range may also be referred to as a second preset range, and similarly, a second preset range may also be referred to as a first preset range without departing from the scope of embodiments of the present invention.
Depending on the context, the word "if" as used herein may be interpreted as "at … …" or "at … …" or "in response to a determination" or "in response to a detection". Similarly, the phrase "if determined" or "if detected (stated condition or event)" may be interpreted as "when determined" or "in response to determination" or "when detected (stated condition or event)" or "in response to detection (stated condition or event), depending on the context.
Various structural schematic diagrams according to the disclosed embodiments of the present invention are shown in the accompanying drawings. The figures are not drawn to scale, wherein certain details are exaggerated for clarity of presentation and may have been omitted. The shapes of the various regions, layers and their relative sizes, positional relationships shown in the drawings are merely exemplary, may in practice deviate due to manufacturing tolerances or technical limitations, and one skilled in the art may additionally design regions/layers having different shapes, sizes, relative positions as actually required.
The invention provides a droop control coefficient design method considering fan rotation speed constraint, which comprises the steps of firstly establishing a grid-connected fan dynamic response model based on droop control, obtaining a linearization model near an MPPT (maximum power point) through linearization means, and analyzing the dynamic behavior of a fan near the MPPT; then, analyzing conditions which need to be met by the sagging coefficient of the system balance point according to the established dynamic response model of the grid-connected fan; thirdly, establishing an equation set for describing the relation between the lowest rotating speed point of the fan and the sagging coefficient; obtaining a sequence of a set of droop coefficients by continuously solving a nonlinear equation set by utilizing a certain specific term in different coefficient scaling equations, and taking a conservative estimate of a maximum droop coefficient of which the minimum value ensures that the fan rotation speed is not out of range in a transient process, thereby providing a droop control coefficient design method considering fan rotation speed constraint; by analyzing the dynamic process of the grid-structured fan based on droop control, the design method of the droop coefficient of the fan is provided, wherein the stability and transient constraint of the rotating speed of the fan are considered. The method can provide guidance for the parameter configuration of the grid-structured fan based on sagging control, and can effectively utilize the kinetic energy of the fan rotor to provide frequency support for the system while ensuring that the rotating speed of the fan does not cross the boundary in the transient process.
Referring to fig. 1, the design method of the droop control coefficient considering the rotation speed constraint of the fan of the present invention includes the following steps:
S1, establishing a dynamic response model of a grid-connected fan based on droop control, deducing a linearization model of the fan near an MPPT (maximum power point tracking) point, and analyzing a direction relation between fan rotation speed deviation and frequency deviation;
The dynamic response model of the grid-connected fan based on droop control is established by integrating a droop control equation, a power reference value equation, a rotor motion equation and a mechanical power equation as follows:
Wherein f, f 0 represents the actual system frequency and the rated frequency respectively; Respectively representing the electromagnetic power of the fan and an electromagnetic power reference value; c is a constant; r p represents a sagging coefficient; omega r represents the fan speed; t J represents the inertial time constant of the fan; p m denotes the mechanical power of the fan as a quadratic function of the rotational speed, denoted g (ω r).
Further, a linearization model near the MPPT point is established through Taylor expansion, and the rotation speed deviation and the frequency deviation meet the following conditions:
Simplifying and obtaining:
Wherein Δω r,Δfe represents a fan rotational speed deviation and a frequency deviation, respectively; omega ropt represents the MPPT rotational speed. The rotational speed deviation of the fan is the same as the system frequency deviation.
S2, analyzing that a sagging coefficient meets a condition when a grid-connected fan system balance point based on sagging control exists according to the linearization model obtained in the step S1;
the electromagnetic power is equal to the mechanical power when the equilibrium point is reached, and as shown in fig. 2, whether the system equilibrium point (the intersection of the mechanical power and electromagnetic power curves) exists or not is related to the sag factor.
To ensure that the equilibrium point of the system exists, the following equation needs to be true:
let the derivative of the function G (ω r) with respect to the rotational speed be 0:
Obtaining the maximum value point of G (omega r):
Wherein, Indicating the rotational speed of the fan when it reaches steady state.
Substituting into (4), obtaining a maximum value point of the function G (omega r) through derivation, and substituting into the original equation, wherein the sag coefficient is known to meet the condition:
s3, establishing an equation set for describing the connection between the lowest point of the fan rotating speed and the sagging coefficient according to the dynamic response model obtained in the step S1, and obtaining a sagging coefficient configuration method for avoiding the fan rotating speed out of range in the transient process by utilizing the scaling skill and solving the equation set;
at a certain moment, the rotating speed of the fan reaches the lowest point, and the system frequency at the moment is expressed as:
f(tend)=fend (8)
Wherein, t end,fend represents the time when the rotating speed of the fan reaches the lowest point and the frequency at the time respectively; the function f (t) represents the classical second-order system frequency response function:
Wherein DeltaP d represents the power disturbance magnitude, Is the relevant parameter obtained according to the actual curve identification.
At this time, since the fan rotation speed reaches the lowest point, the derivative of the fan rotation speed with respect to time is 0:
Wherein ω rmin represents the allowable minimum rotation speed; r pu represents the maximum sag factor that avoids fan speed out of range.
During the frequency response, the released rotor kinetic energy is equal to the integral of electromagnetic power minus mechanical power over time:
synthesizing (8) - (11) to obtain a ternary nonlinear equation set describing the relation between the lowest rotating speed point of the fan and the sagging coefficient:
further, since a satisfies:
0<A<hmax(tend-t0),ωr∈[ωrminropt] (13)
Wherein, Substituting a i=[hmax(tend-t0) i/N, i=0, 1, respectively into the nonlinear equations and solving to obtain a sequence { r pu,i } composed of sagging coefficients when i takes different values, and when N takes enough value, the actual r pu is approximated by a specific quantity in the sequence; a conservative estimate of the droop coefficient:
rpmax=min{rpu} (14)
Referring to FIG. 3, which shows the relationship between the sequence { r pu,i } and r pu and r pmax under certain conditions, it is understood that r pmax is a conservative estimate of r pu; when the sag coefficient is set to r pmax, the lowest rotating speed point of the fan falls in an allowable range, so that the fan is ensured not to be off-line due to the excessively low rotating speed.
S4, synthesizing the sag coefficient obtained in the step S2 to meet the condition and the sag coefficient configuration method obtained in the step S3 to obtain a sag coefficient boundary considering the fan rotation speed constraint.
The droop control coefficient considering the rotation speed constraint of the fan meets the following conditions:
rp<min{rpepe,rpmax} (15)
Wherein, r pepe,rpmax is the maximum sagging coefficient which only ensures the existence of the balance point and the maximum sagging coefficient which avoids the fan rotating speed from crossing the boundary; to ensure safe operation of the blower, the actual sag factor r p should be less than the smaller of r pepe,rpmax.
In still another embodiment of the present invention, a droop control coefficient design system considering a fan rotation speed constraint is provided, where the droop control coefficient design system can be used to implement the droop control coefficient design method considering the fan rotation speed constraint, and specifically, the droop control coefficient design system considering the fan rotation speed constraint includes a deriving module, a condition module, a solving module, and a design module.
The deriving module is used for establishing a dynamic response model of the grid-connected fan based on droop control, deriving a linearization model of the fan near the MPPT point and analyzing the direction relation between the fan rotating speed deviation and the frequency deviation;
the condition module is used for analyzing that the sagging coefficient meets the condition when the grid-connected fan system balance point based on sagging control exists according to the linearization model obtained by the deriving module;
The solving module is used for establishing an equation set for describing the connection between the lowest point of the rotating speed of the fan and the sagging coefficient according to the dynamic response model obtained by the deriving module, and obtaining a sagging coefficient configuration method for ensuring that the rotating speed of the fan is not beyond the boundary in the transient process by utilizing the scaling skill and solving the equation set;
And the design module is used for obtaining a sagging coefficient boundary considering the rotation speed constraint of the fan by integrating the sagging coefficient meeting conditions obtained by the condition module and the sagging coefficient configuration method obtained by the solving module.
In yet another embodiment of the present invention, a terminal device is provided, the terminal device including a processor and a memory, the memory for storing a computer program, the computer program including program instructions, the processor for executing the program instructions stored by the computer storage medium. The processor may be a central processing unit (Central Processing Unit, CPU), but may also be other general purpose processor, digital signal processor (DIGITAL SIGNAL Processor, DSP), application Specific Integrated Circuit (ASIC), off-the-shelf Programmable gate array (Field-Programmable GATE ARRAY, FPGA) or other Programmable logic device, discrete gate or transistor logic, discrete hardware components, etc., which are a computational core and a control core of the terminal adapted to implement one or more instructions, in particular adapted to load and execute one or more instructions to implement a corresponding method flow or a corresponding function; the processor according to the embodiment of the invention can be used for considering the operation of the droop control coefficient design method of the fan rotation speed constraint, and comprises the following steps:
Establishing a grid-connected fan dynamic response model based on droop control, deducing a linearization model of the fan near an MPPT point, and analyzing the direction relation of fan rotating speed deviation and frequency deviation; analyzing that sag coefficients meet conditions when sag control-based grid-connected fan system balance points exist according to a linearization model; establishing an equation set for describing the relation between the lowest point of the rotating speed of the fan and the sagging coefficient according to the dynamic response model, and obtaining a sagging coefficient configuration method for avoiding the out-of-range rotating speed of the fan in the transient process by utilizing the scaling skill and solving the equation set; and synthesizing the sag coefficient meeting conditions and a sag coefficient configuration method to obtain a sag coefficient boundary considering the rotation speed constraint of the fan.
Referring to fig. 5, the terminal device is a computer device, and the computer device 60 of this embodiment includes: a processor 61, a memory 62, and a computer program 63 stored in the memory 62 and executable on the processor 61, the computer program 63 when executed by the processor 61 implements the reservoir inversion wellbore fluid composition calculation method of the embodiment, and is not described in detail herein to avoid repetition. Or the computer program 63, when executed by the processor 61, implements the functionality of each model/unit in the droop control coefficient design system taking into account the fan speed constraint, and is not described in detail herein to avoid repetition.
The computer device 60 may be a desktop computer, a notebook computer, a palm top computer, a cloud server, or the like. Computer device 60 may include, but is not limited to, a processor 61, a memory 62. It will be appreciated by those skilled in the art that fig. 5 is merely an example of a computer device 60 and is not intended to limit the computer device 60, and may include more or fewer components than shown, or may combine certain components, or different components, e.g., a computer device may also include an input-output device, a network access device, a bus, etc.
The Processor 61 may be a central processing unit (Central Processing Unit, CPU), but may also be other general purpose processors, digital signal processors (DIGITAL SIGNAL Processor, DSP), application SPECIFIC INTEGRATED Circuit (ASIC), field-Programmable gate array (Field-Programmable GATE ARRAY, FPGA) or other Programmable logic device, discrete gate or transistor logic device, discrete hardware components, or the like. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
The memory 62 may be an internal storage unit of the computer device 60, such as a hard disk or memory of the computer device 60. The memory 62 may also be an external storage device of the computer device 60, such as a plug-in hard disk provided on the computer device 60, a smart memory card (SMART MEDIA CARD, SMC), a Secure Digital (SD) card, a flash memory card (FLASH CARD), or the like.
Further, the memory 62 may also include both internal storage units and external storage devices of the computer device 60. The memory 62 is used to store computer programs and other programs and data required by the computer device. The memory 62 may also be used to temporarily store data that has been output or is to be output.
Referring to fig. 6, the terminal device is a chip, and the chip 600 of this embodiment includes a processor 622, which may be one or more in number, and a memory 632 for storing a computer program executable by the processor 622. The computer program stored in memory 632 may include one or more modules each corresponding to a set of instructions. Further, the processor 622 may be configured to execute the computer program to perform the droop control coefficient design method described above in consideration of the fan speed constraint.
In addition, chip 600 may further include a power supply component 626 and a communication component 650, where power supply component 626 may be configured to perform power management of chip 600, and communication component 650 may be configured to enable communication of chip 600, e.g., wired or wireless communication. In addition, the chip 600 may also include an input/output interface 658. Chip 600 may operate based on an operating system stored in memory 632.
In a further embodiment of the present invention, the present invention further provides a storage medium, in particular, a computer readable storage medium, which is a memory device in the terminal device, for storing programs and data. It will be appreciated that the computer readable storage medium herein may include both a built-in storage medium in the terminal device and an extended storage medium supported by the terminal device. The computer-readable storage medium provides a storage space storing an operating system of the terminal. Also stored in the memory space are one or more instructions, which may be one or more computer programs, adapted to be loaded and executed by the processor. The computer readable storage medium may be a high-speed RAM Memory or a Non-Volatile Memory (Non-Volatile Memory), such as at least one magnetic disk Memory.
One or more instructions stored in a computer-readable storage medium may be loaded and executed by a processor to implement the corresponding steps of the droop control coefficient design method in the above embodiments with respect to considering fan speed constraints; one or more instructions in a computer-readable storage medium are loaded by a processor and perform the steps of:
Establishing a grid-connected fan dynamic response model based on droop control, deducing a linearization model of the fan near an MPPT point, and analyzing the direction relation of fan rotating speed deviation and frequency deviation; analyzing that sag coefficients meet conditions when sag control-based grid-connected fan system balance points exist according to a linearization model; establishing an equation set for describing the relation between the lowest point of the rotating speed of the fan and the sagging coefficient according to the dynamic response model, and obtaining a sagging coefficient configuration method for avoiding the out-of-range rotating speed of the fan in the transient process by utilizing the scaling skill and solving the equation set; and synthesizing the sag coefficient meeting conditions and a sag coefficient configuration method to obtain a sag coefficient boundary considering the rotation speed constraint of the fan.
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments of the present invention. The components of the embodiments of the present invention generally described and illustrated in the figures herein may be arranged and designed in a wide variety of different configurations. Thus, the following detailed description of the embodiments of the invention, as presented in the figures, is not intended to limit the scope of the invention, as claimed, but is merely representative of selected embodiments of the invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Referring to table 1, table 1 is related parameters of the test system.
TABLE 1
Referring to fig. 4, fig. 4 is a graph of fan rotation speed when the proposed method is applied under different wind speed conditions. As can be seen from the figure, after a frequency event occurs, the fan speed is reduced to release the rotor kinetic energy, providing frequency support to the system. Furthermore, the sag factor calculated according to the present method is conservative, and the lowest point of the fan speed will not touch the lowest allowable speed at different fan initial speeds (different wind speeds).
Referring to Table 2, table 2 shows the sag factor and the lowest rotational speed of the fan obtained when the proposed method is applied.
TABLE 2
As shown in table 2, the maximum sag factor obtained in step S3 is smaller than the maximum sag factor obtained in step S2 at different wind speeds. The step S2 only can ensure that a system balance point exists, is a necessary condition for system stability, and the step S3 can avoid the fan rotating speed from crossing the boundary in the transient process. In addition, the rotational speed nadir under different conditions is greater than the allowable minimum rotational speed, i.e. 0.7p.u., and the lower the initial rotor speed, the lower the degree of conservation, verifying the conservation of the method of the invention.
In summary, the design method and system for the sagging control coefficient considering the constraint of the rotating speed of the fan can provide guidance for the parameter configuration of the net-structured fan based on sagging control, and effectively utilize the kinetic energy of the fan rotor to provide frequency support for the system while ensuring that the rotating speed of the fan does not cross the boundary in the transient process.
It will be apparent to those skilled in the art that, for convenience and brevity of description, only the above-described division of the functional units and modules is illustrated, and in practical application, the above-described functional distribution may be performed by different functional units and modules according to needs, i.e. the internal structure of the apparatus is divided into different functional units or modules to perform all or part of the above-described functions. The functional units and modules in the embodiment may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit, where the integrated units may be implemented in a form of hardware or a form of a software functional unit. In addition, the specific names of the functional units and modules are only for distinguishing from each other, and are not used for limiting the protection scope of the present application. The specific working process of the units and modules in the above system may refer to the corresponding process in the foregoing method embodiment, which is not described herein again.
In the foregoing embodiments, the descriptions of the embodiments are emphasized, and in part, not described or illustrated in any particular embodiment, reference is made to the related descriptions of other embodiments.
Those of ordinary skill in the art will appreciate that the various illustrative elements and algorithm steps described in connection with the embodiments disclosed herein may be implemented as electronic hardware, or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the solution. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present invention.
In the embodiments provided in the present invention, it should be understood that the disclosed apparatus/terminal and method may be implemented in other manners. For example, the apparatus/terminal embodiments described above are merely illustrative, e.g., the division of the modules or units is merely a logical function division, and there may be additional divisions when actually implemented, e.g., multiple units or components may be combined or integrated into another system, or some features may be omitted or not performed. Alternatively, the coupling or direct coupling or communication connection shown or discussed may be an indirect coupling or communication connection via interfaces, devices or units, which may be in electrical, mechanical or other forms.
The units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
In addition, each functional unit in the embodiments of the present invention may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit. The integrated units may be implemented in hardware or in software functional units.
The integrated modules/units, if implemented in the form of software functional units and sold or used as stand-alone products, may be stored in a computer readable storage medium. Based on such understanding, the present invention may implement all or part of the flow of the method of the above embodiment, or may be implemented by a computer program to instruct related hardware, where the computer program may be stored in a computer readable storage medium, and when the computer program is executed by a processor, the computer program may implement the steps of each of the method embodiments described above. Wherein the computer program comprises computer program code which may be in source code form, object code form, executable file or some intermediate form etc. The computer readable medium may include: any entity or device capable of carrying the computer program code, a recording medium, a usb disk, a removable hard disk, a magnetic disk, an optical disk, a computer Memory, a Read-Only Memory (ROM), a Random-Access Memory (RAM), an electrical carrier wave signal, a telecommunications signal, a software distribution medium, etc., it should be noted that the content of the computer readable medium may be appropriately increased or decreased according to the requirements of legislation and patent practice in jurisdictions, such as in some jurisdictions, according to the legislation and patent practice, the computer readable medium does not include electrical carrier wave signals and telecommunications signals.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus, and computer program products according to embodiments of the application. 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 is only for illustrating the technical idea of the present invention, and the protection scope of the present invention is not limited by this, and any modification made on the basis of the technical scheme according to the technical idea of the present invention falls within the protection scope of the claims of the present invention.

Claims (10)

1. The design method of the sagging control coefficient taking the rotation speed constraint of the fan into consideration is characterized by comprising the following steps of:
Establishing a grid-connected fan dynamic response model based on droop control, deducing a linearization model of the fan near an MPPT point, and analyzing the direction relation of fan rotating speed deviation and frequency deviation;
According to the obtained linearization model, analyzing that a sagging coefficient meets the condition when a grid-connected fan system balance point based on sagging control exists;
Establishing an equation set for describing the relation between the lowest point of the rotating speed of the fan and the sagging coefficient according to the obtained dynamic response model, and obtaining a sagging coefficient configuration method for avoiding the out-of-range rotating speed of the fan in the transient process by utilizing a scaling skill and solving the equation set;
And obtaining a sag coefficient boundary considering the rotation speed constraint of the fan by combining the obtained sag coefficient meeting the condition and the obtained sag coefficient configuration method.
2. The method for designing a droop control coefficient considering fan speed constraints according to claim 1, wherein a linearization model of the fan around the MPPT point is as follows:
Wherein Δω r,Δfe is fan rotational speed deviation and frequency deviation, r p is droop coefficient, ω ropt is MPPT rotational speed, and C is a constant.
3. The method for designing the droop control coefficient considering the fan rotation speed constraint according to claim 2, wherein the dynamic response model of the grid-connected fan based on the droop control is as follows:
wherein f, f 0 is the actual system frequency and the rated frequency respectively, Respectively representing the electromagnetic power and the electromagnetic power reference value of the fan, wherein omega r is the rotating speed of the fan; t J is the inertial time constant of the fan, P m is the mechanical power of the fan, g (omega r) is a quadratic function of the rotational speed, and C is a constant.
4. The method for designing a droop control coefficient considering a fan rotation speed constraint according to claim 1, wherein the droop coefficient satisfies the condition:
Wherein, For the rotational speed of the fan when reaching steady state, r p is the sag coefficient, C is a constant, and r pepe is the maximum sag coefficient that ensures that the equilibrium point exists.
5. The method for designing a droop control coefficient taking into account fan speed constraints as set forth in claim 4, wherein the fan speed reaches steady stateThe method comprises the following steps:
Where a 1,a2 is the coefficient of the quadratic function of the approximate mechanical power curve.
6. The method for designing a droop control coefficient considering a fan rotation speed constraint according to claim 1, wherein the set of equations describing a relationship between a fan rotation speed minimum point and the droop coefficient is as follows:
f(tend)=fend
Wherein ω rmin is the allowable minimum rotation speed, r pu is the maximum sag coefficient for avoiding the fan rotation speed from crossing the boundary, t end,fend is the time when the fan rotation speed reaches the minimum point and the frequency at the time, and f (t) is the classical second-order system frequency response function.
7. The method for designing a droop control coefficient taking into account fan speed constraints as set forth in claim 6, wherein the classical second-order system frequency response function f (t) is
Wherein DeltaP d represents the power disturbance magnitude,Is the relevant parameter obtained according to the actual curve identification.
8. The method for designing a droop control coefficient taking into account fan speed constraints of claim 1, wherein the conservative estimate of r pu obtained by scaling techniques and nonlinear equation solving is as follows:
rpmax=min{rpu}
Where r pu={rpu,i represents the sequence of solutions for a set of r pu obtained by solving the established multivariate equation after scaling a with different coefficients.
9. The method for designing a droop control coefficient considering a fan rotation speed constraint according to claim 1, wherein the droop coefficient considering the fan rotation speed constraint satisfies the following condition:
rp<min{rpepe,rpmax}
wherein, r pepe,rpmax is the maximum sagging coefficient for ensuring the existence of the balance point and the maximum sagging coefficient for avoiding the fan rotating speed from crossing the boundary respectively.
10. A droop control coefficient design system taking into account fan speed constraints, comprising:
The deriving module is used for establishing a dynamic response model of the grid-connected fan based on droop control, deriving a linearization model of the fan near the MPPT point and analyzing the direction relation between the fan rotating speed deviation and the frequency deviation;
the condition module is used for analyzing that the sagging coefficient meets the condition when the grid-connected fan system balance point based on sagging control exists according to the linearization model obtained by the deriving module;
The solving module is used for establishing an equation set for describing the connection between the lowest point of the rotating speed of the fan and the sagging coefficient according to the dynamic response model obtained by the deriving module, and obtaining a sagging coefficient configuration method for ensuring that the rotating speed of the fan is not beyond the boundary in the transient process by utilizing the scaling skill and solving the equation set;
And the design module is used for obtaining a sagging coefficient boundary considering the rotation speed constraint of the fan by integrating the sagging coefficient meeting conditions obtained by the condition module and the sagging coefficient configuration method obtained by the solving module.
CN202410165266.5A 2024-02-05 2024-02-05 Droop control coefficient design method and system considering fan rotation speed constraint Pending CN117977691A (en)

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Application Number Priority Date Filing Date Title
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