WO2019119681A1 - 检测风力发电机组的有功功率的方法和设备 - Google Patents

检测风力发电机组的有功功率的方法和设备 Download PDF

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Publication number
WO2019119681A1
WO2019119681A1 PCT/CN2018/082677 CN2018082677W WO2019119681A1 WO 2019119681 A1 WO2019119681 A1 WO 2019119681A1 CN 2018082677 W CN2018082677 W CN 2018082677W WO 2019119681 A1 WO2019119681 A1 WO 2019119681A1
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WO
WIPO (PCT)
Prior art keywords
wind
power
current
active power
wind turbine
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PCT/CN2018/082677
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English (en)
French (fr)
Inventor
余梦婷
周桂林
韩梅
Original Assignee
北京金风科创风电设备有限公司
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Application filed by 北京金风科创风电设备有限公司 filed Critical 北京金风科创风电设备有限公司
Priority to US16/339,207 priority Critical patent/US11408395B2/en
Priority to AU2018334592A priority patent/AU2018334592B2/en
Priority to EP18863807.6A priority patent/EP3521613B1/en
Publication of WO2019119681A1 publication Critical patent/WO2019119681A1/zh

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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F03MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
    • F03DWIND MOTORS
    • F03D17/00Monitoring or testing of wind motors, e.g. diagnostics
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F03MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
    • F03DWIND MOTORS
    • F03D7/00Controlling wind motors 
    • F03D7/02Controlling wind motors  the wind motors having rotation axis substantially parallel to the air flow entering the rotor
    • F03D7/04Automatic control; Regulation
    • F03D7/042Automatic control; Regulation by means of an electrical or electronic controller
    • F03D7/043Automatic control; Regulation by means of an electrical or electronic controller characterised by the type of control logic
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F03MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
    • F03DWIND MOTORS
    • F03D9/00Adaptations of wind motors for special use; Combinations of wind motors with apparatus driven thereby; Wind motors specially adapted for installation in particular locations
    • F03D9/20Wind motors characterised by the driven apparatus
    • F03D9/25Wind motors characterised by the driven apparatus the apparatus being an electrical generator
    • F03D9/255Wind motors characterised by the driven apparatus the apparatus being an electrical generator connected to electrical distribution networks; Arrangements therefor
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F03MACHINES OR ENGINES FOR LIQUIDS; WIND, SPRING, OR WEIGHT MOTORS; PRODUCING MECHANICAL POWER OR A REACTIVE PROPULSIVE THRUST, NOT OTHERWISE PROVIDED FOR
    • F03DWIND MOTORS
    • F03D7/00Controlling wind motors 
    • F03D7/02Controlling wind motors  the wind motors having rotation axis substantially parallel to the air flow entering the rotor
    • F03D7/028Controlling wind motors  the wind motors having rotation axis substantially parallel to the air flow entering the rotor controlling wind motor output power
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05BINDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
    • F05B2270/00Control
    • F05B2270/10Purpose of the control system
    • F05B2270/103Purpose of the control system to affect the output of the engine
    • F05B2270/1033Power (if explicitly mentioned)
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05BINDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
    • F05B2270/00Control
    • F05B2270/30Control parameters, e.g. input parameters
    • F05B2270/32Wind speeds
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05BINDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
    • F05B2270/00Control
    • F05B2270/30Control parameters, e.g. input parameters
    • F05B2270/327Rotor or generator speeds
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05BINDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
    • F05B2270/00Control
    • F05B2270/30Control parameters, e.g. input parameters
    • F05B2270/328Blade pitch angle
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F05INDEXING SCHEMES RELATING TO ENGINES OR PUMPS IN VARIOUS SUBCLASSES OF CLASSES F01-F04
    • F05BINDEXING SCHEME RELATING TO WIND, SPRING, WEIGHT, INERTIA OR LIKE MOTORS, TO MACHINES OR ENGINES FOR LIQUIDS COVERED BY SUBCLASSES F03B, F03D AND F03G
    • F05B2270/00Control
    • F05B2270/30Control parameters, e.g. input parameters
    • F05B2270/335Output power or torque

Definitions

  • This application relates to the field of wind power generation. More particularly, it relates to a method and apparatus for detecting available active power of a wind turbine.
  • the power system is a process of real-time balancing of power generation and load.
  • the wind turbine generator as the power generation end is required to provide the FM power quickly and flexibly to improve the frequency stability. This requires accurate estimation of the available active power of the wind turbine to provide maximum frequency modulation power to the grid under the premise of stable operation of the wind turbine.
  • An aspect of the present application provides a method of detecting available active power of a wind power generator, the method comprising: acquiring a current rotational speed of a rotor of a wind turbine of a wind power generator and an active power currently output; based on the current rotational speed and Determining the active power of the current output, determining an effective wind speed of the wind turbine; determining, according to the effective wind speed and the maximum wind energy utilization coefficient of the wind turbine at the current speed, the wind turbine can be captured at the current speed Maximum active power; determining the maximum active power that the wind turbine can output according to the maximum active power that can be captured and the corresponding power loss, and determining that the wind turbine can release the rotational kinetic energy of the wind turbine for a predetermined time at the current rotational speed The release power; determining the available active power of the wind turbine based on the maximum active power that can be output, the release power, and the active power of the current output.
  • an apparatus for detecting available active power of a wind power generator comprising: a parameter acquisition unit that acquires a current rotational speed of a rotor of a wind turbine of a wind power generator and an active power currently output; an effective wind speed Unit, determining an effective wind speed of the wind turbine based on the current rotational speed and the active power of the current output; the first power determining unit, according to the effective wind speed and the maximum wind energy utilization rate of the wind turbine at the current speed a coefficient determining a maximum active power that the wind power generator can capture at the current rotational speed; and a second power determining unit determining a maximum active power that the wind power generator can output according to the maximum active power that can be captured and the corresponding power loss, And determining, at the current rotational speed, that the wind power generator can release the release power of the rotational kinetic energy of the wind turbine for a predetermined time; the third power determining unit, according to the maximum active power that can be output, the release power, and the current Output
  • Another aspect of the present application provides a method of detecting an effective wind speed of a wind power generator, the method comprising: acquiring a current rotational speed of a rotor of a wind turbine of a wind power generator and an active power currently output; based on the current rotational speed and Determining the current output active power, determining a current tip speed ratio of the wind turbine; determining an effective wind speed of the wind turbine according to the current tip speed ratio and the current speed.
  • an apparatus for detecting an effective wind speed of a wind power generator comprising: a parameter acquisition unit that acquires a current rotational speed of a rotor of a wind turbine of a wind power generator and an active power currently output; a tip speed a ratio unit, determining a current tip speed ratio of the wind turbine based on the current rotational speed and the active power of the current output; the effective wind speed detecting unit determining the wind power generation according to the current tip speed ratio and the current rotational speed The effective wind speed of the unit.
  • Another aspect of the present application provides a system for detecting available active power of a wind power generator, the system comprising: a processor; a memory storing a computer program, when the computer program is executed by the processor, performing the detecting wind power The method of generating active power for a generator set.
  • Another aspect of the present application provides a system for detecting an effective wind speed of a wind power generator, the system comprising: a processor; a memory storing a computer program, when the computer program is executed by the processor, performing the detecting wind power generation The method of effective wind speed of the unit.
  • Another aspect of the present application is a computer readable storage medium storing a computer program that, when executed, implements the method described above.
  • the method, apparatus, and system for detecting available active power of a wind turbine can more accurately estimate the available active power of the wind turbine due to the fast and accurate effective wind speed detection method employed, and considering the rotational kinetic energy.
  • the detected available active power can satisfy the active power demand of the primary frequency modulation to the greatest extent possible under the premise of stable operation of the wind power generator.
  • FIG. 1 illustrates a flow chart of a method of detecting available active power of a wind turbine set in accordance with an embodiment of the present application.
  • FIG. 2 shows a flow chart of a method of determining an effective wind speed for a wind turbine according to an embodiment of the present application.
  • FIG. 3 illustrates a flow chart of a method of determining a current tip speed ratio of a wind turbine set in accordance with an embodiment of the present application.
  • FIG. 4 shows a block diagram of an apparatus for detecting available active power of a wind power plant, in accordance with an embodiment of the present application.
  • FIG. 1 illustrates a flow chart of a method of detecting available active power of a wind turbine set in accordance with an embodiment of the present application.
  • step S110 the current rotational speed of the rotor of the wind turbine of the wind turbine and the currently output active power are acquired.
  • the current speed of the rotor and the active power of the current output of the wind turbine can be obtained in various ways, which is not limited in this application.
  • an effective wind speed of the wind turbine is determined based on the current rotational speed and the currently output active power.
  • the effective wind speed of the wind turbine can be determined based on various relationships between the current speed and the currently output active power and the effective wind speed of the wind turbine.
  • a current tip speed ratio of the wind turbine is determined based on the current speed and the currently output active power.
  • the tip speed ratio can be determined based on various relationships between the rotational speed and the active power of the output.
  • FIG. 3 illustrates a flow chart of a method of determining a current tip speed ratio of a wind turbine set in accordance with an embodiment of the present application.
  • step S310 a relationship value indicating a predetermined relationship between the wind energy utilization coefficient of the wind turbine and the tip speed ratio is determined based on the current rotational speed and the currently output active power.
  • the predetermined relationship can be obtained by using a relationship including the rotational speed, the output active power, the wind energy utilization coefficient, and the tip speed ratio.
  • the predetermined relationship is a ratio of the wind energy utilization coefficient of the wind turbine to the cube of the tip speed ratio.
  • the ratio of the wind energy utilization coefficient of the wind turbine to the cube of the tip speed ratio is determined based on the current rotational speed and the active power of the current output.
  • the ratio is proportional to the active power and power loss of the current output, and inversely proportional to the air density, the fifth power of the impeller radius of the turbine of the wind turbine, and the cube of the current speed.
  • the ratio can be derived based on the relationship.
  • the following equation (1) shows the specific relationship of the ratio to these parameters.
  • C p represents the wind energy utilization coefficient of the wind turbine
  • represents the current tip speed ratio
  • P out represents the active power currently output by the wind turbine
  • P loss represents the power loss
  • represents the air density
  • R represents the impeller radius
  • represents The current speed of the rotor of the wind turbine.
  • the relationship between the wind energy utilization coefficient and the tip speed ratio obtained by using other relationships including the rotational speed, the output active power, the wind energy utilization coefficient, and the tip speed ratio may be used, depending on the accuracy and parameters.
  • the difficulty of obtaining, the calculation complexity, and the calculation method may be used, depending on the accuracy and parameters.
  • the current tip speed ratio of the wind turbine is obtained based on the current pitch angle of the wind turbine and the determined relationship value.
  • the correspondence between the pitch angle, the relationship value (or the wind energy utilization factor), and the tip speed ratio may be predetermined (eg, the pitch angle, the relationship value (or the wind energy utilization factor) are recorded. And a predetermined relationship table of the mapping relationship between the tip speeds, thereby obtaining a current tip speed ratio corresponding to the current pitch angle and the determined relationship value based on the correspondence.
  • the predetermined relationship table records a mapping relationship between a tip speed ratio, a pitch angle, and a wind energy utilization coefficient. That is to say, another corresponding parameter may be determined based on two of the above parameters, or a combination of the other two other parameters (ie, a parameter pair composed of the other two parameters) may be determined based on one parameter.
  • the predetermined relationship table may be a table for finding a corresponding wind energy utilization coefficient based on a tip speed ratio and a pitch angle, and the corresponding wind energy utilization may be determined based on a certain tip speed ratio and a certain pitch angle. Rate factor.
  • the predetermined relationship table can be obtained by obtaining a wind energy utilization coefficient corresponding to different pitch angles of different blade tip speed ratios through a pre-established aerodynamic model of the wind turbine generator.
  • Table 1 below shows an example of the predetermined relationship table of the present application.
  • Table 1 shows the cube of the pitch angle (i.e., n pitch angles ⁇ 1 to ⁇ n ) and the tip speed ratio (i.e., the cubic ⁇ 1 3 of the m tip speed ratios).
  • the wind energy utilization coefficient ie, C p11 to C pmn ) corresponding to different combinations of ⁇ m 3 ).
  • the corresponding wind energy utilization coefficient may be determined from Table 1 based on the pitch angle and the tip speed ratio, or a combination of the corresponding tip speed ratio and the wind energy utilization coefficient may be determined based on the pitch angle (ie, the leaf The parameter pair consisting of the tip speed ratio and the wind energy utilization coefficient).
  • the cube of the tip speed ratio is used in Table 1 in order to speed up the search speed, and the tip speed ratio (i.e., the one-off of the tip speed ratio) can also be used directly.
  • a combination of the wind energy utilization coefficient and the tip speed ratio corresponding to the current pitch angle is acquired from the predetermined relationship table (for example, in the case of Table 1, if the current pitch angle is ⁇ 1 , the acquisition is The combination of the wind energy utilization coefficient and the tip speed ratio corresponding to ⁇ 1 (C p11 , ⁇ 1 3 ) (C pm1 , ⁇ m 3 )); the combination of the obtained wind energy utilization coefficient and the tip speed ratio And obtaining a combination of relationship values indicating the predetermined relationship closest to the determined relationship value (ie, determining a value of C p / ⁇ 3 from the found combination closest to the combination of the relationship values determined at step S310)
  • the tip speed ratio among the obtained combinations is taken as the current tip speed ratio (for example, if (C p11 , ⁇ 1 3 ) indicates the relationship value of the predetermined relationship C p11 / ⁇ 1 3 is closest to the step
  • the relationship value determined by S310 is ⁇ 1 as the current tip speed ratio).
  • the effective wind speed of the wind turbine is determined based on the current tip speed ratio and the current speed.
  • the effective wind speed may be determined based on various relationships between the current tip speed ratio, the current speed, and the effective wind speed.
  • the equivalent wind speed of the wind turbine is determined based on the current tip speed ratio, the current speed, and the impeller radius of the wind turbine.
  • Equation (2) below shows the calculation of the effective wind speed of the wind turbine.
  • the effective wind speed of the wind turbine can be accurately and quickly determined (for example, the effective wind speed can be determined in the order of seconds or even millimeters), thereby satisfying the primary frequency modulation of the wind turbine. Fast response speed is required.
  • step S130 the maximum active power that the wind turbine can capture at the current speed is determined based on the effective wind speed and the maximum wind energy utilization coefficient of the wind turbine at the current speed.
  • the maximum wind energy utilization factor of the wind turbine at the current speed can be obtained by the predetermined relationship table described above.
  • the wind energy utilization coefficient corresponding to the current tip speed ratio can be obtained from the predetermined relationship table (for example, in the case of Table 1, if the current tip speed ratio is ⁇ m , the corresponding wind energy utilization coefficient includes C pm1 ... C pmn ), the largest wind energy utilization coefficient among the obtained wind energy utilization factors is taken as the maximum wind energy utilization coefficient.
  • the tip speed ratio is constant for a certain period of time, the rotation speed is also unchanged, so the maximum wind energy utilization coefficient at the corresponding rotation speed can be determined based on the tip speed ratio.
  • the maximum active power that the wind turbine can capture at the current rotational speed can be obtained based on the effective wind speed, the current rotational speed, and the parameters of the wind turbine, that is, at the effective wind speed and The maximum active power that can be captured with the same speed.
  • the maximum active power that can be captured can be calculated based on the following equation (3).
  • P in —max represents the maximum active power that can be captured
  • represents the current tip speed ratio
  • represents the current rotational speed of the rotor of the wind turbine
  • R is the impeller radius
  • Cp max represents the maximum wind energy utilization factor
  • represents the air density.
  • step S140 it is determined that the wind turbine can release the release power of the rotational kinetic energy of the wind turbine for a predetermined time at the current rotational speed.
  • the predetermined time is the length of time that the wind turbine needs to cause the output power to be in an elevated state in one frequency modulation.
  • the kinetic energy released by the wind turbine should not cause the speed of the rotor of the wind turbine to drop too much (for example, less than or equal to the grid-connected speed of the wind turbine), therefore,
  • the release power satisfies the condition that the wind turbine can operate at a grid-breaking speed greater than the wind turbine after the release power releases the rotational kinetic energy of the wind turbine for a predetermined time at the current speed.
  • the release power can be calculated by the following equation (4).
  • P rotating shows the release power
  • J represents the moment of inertia of the wind turbine
  • represents the current rotational speed of the rotor of the wind turbine
  • ⁇ cut_in represents wind turbine grid cut speed
  • k is greater than the speed factor 1
  • T represents a predetermined time.
  • the kinetic energy released by the wind turbine can be adjusted so that the rotational speed of the rotor of the wind turbine does not fall too much (for example, less than or equal to the grid-connected speed of the wind turbine). That is, by adjusting k, the wind turbine can be operated at a grid-breaking speed greater than the wind turbine set after the release power releases the rotational kinetic energy of the wind turbine at the current speed for a predetermined time.
  • step S130 and step S140 are not limited, and step S130 and step S140 may be simultaneously performed, or step S130 may be performed first and then step S140 may be performed, or step S140 may be performed first and then step S130 may be performed.
  • step S150 the available active power of the wind power generating set is determined according to the maximum active power that can be output, the released power, and the active power of the current output.
  • the sum of the maximum active power that can be output and the released power is calculated, and the calculated sum is subtracted from the active power of the current output, thereby obtaining the available active power of the wind turbine.
  • FIG. 4 shows a block diagram of an apparatus for detecting available active power of a wind power plant, in accordance with an embodiment of the present application.
  • the apparatus 400 for detecting an effective wind speed of a wind power generator includes a parameter acquisition unit 410, an effective wind speed unit 420, a first power determination unit 430, a second power determination unit 440, and a third.
  • Power determination unit 450 the apparatus 400 for detecting an effective wind speed of a wind power generator according to an embodiment of the present application includes a parameter acquisition unit 410, an effective wind speed unit 420, a first power determination unit 430, a second power determination unit 440, and a third.
  • Power determination unit 450 is included in the apparatus 400 for detecting an effective wind speed of a wind power generator.
  • the parameter acquisition unit 410 acquires the current rotational speed of the rotor of the wind turbine of the wind turbine and the active power currently output.
  • the current speed of the rotor and the active power of the current output of the wind turbine can be obtained in various ways, which is not limited in this application.
  • the effective wind speed unit 420 determines an effective wind speed of the wind turbine based on the current rotational speed and the currently output active power.
  • the effective wind speed unit 420 can determine the effective wind speed of the wind turbine based on various relationships between the current rotational speed and the currently output active power and the effective wind speed of the wind turbine.
  • the effective wind speed unit 420 includes a tip speed ratio unit and an effective wind speed detecting unit.
  • the tip speed ratio unit determines a current tip speed ratio of the wind turbine based on the current speed and the currently output active power.
  • the effective wind speed detecting unit determines the effective wind speed of the wind power generating set according to the current tip speed ratio and the current rotating speed.
  • the tip speed ratio unit includes a relationship determining unit and a tip speed ratio determining unit.
  • the relationship determining unit determines a relationship value indicating a predetermined relationship between the wind energy utilization coefficient of the wind turbine and the tip speed ratio based on the current rotational speed and the currently output active power. For example, the relationship determining unit may determine the relationship value in the manner of step S310 shown in FIG.
  • the tip speed ratio determining unit obtains the current tip speed ratio of the wind turbine according to the current pitch angle of the wind turbine and the determined relationship value. For example, the tip speed ratio determining unit may determine the current tip speed ratio in the manner of step S320 shown in FIG.
  • the effective wind speed detecting unit determines the effective wind speed of the wind power generating set according to the current tip speed ratio and the current rotating speed. For example, an equivalent wind speed of the wind turbine can be determined based on the current tip speed ratio, the current speed, and the impeller radius of the wind turbine.
  • the first power determining unit 430 determines the maximum active power that the wind power generator can capture at the current speed according to the effective wind speed and the maximum wind energy utilization coefficient of the wind turbine at the current speed. For example, the first power determining unit 430 may determine the maximum active power that can be captured in the manner of step S140 shown in FIG. 1.
  • the second power determining unit 440 determines the maximum active power that the wind power generator can output according to the maximum active power that can be captured and the corresponding power loss, and determines that the wind power generator can release the rotational kinetic energy of the wind turbine for a predetermined time at the current rotational speed. Release power.
  • the second power determining unit 440 may determine the release power in the manner of step S150 shown in FIG. 1.
  • the third power determining unit 450 determines the available active power of the wind turbine according to the maximum active power that can be output, the released power, and the currently output active power. Specifically, the third power determining unit 450 calculates the sum of the maximum active power that can be output and the released power, and subtracts the calculated output power from the current output, thereby obtaining the available active power of the wind power generator.
  • the present application also provides a system for detecting available active power of a wind power plant.
  • the system includes a processor and a memory.
  • the memory stores a computer program that, when executed by the processor, implements the method of detecting available active power of a wind turbine according to embodiments of the present application described above.
  • various units in a device in accordance with the exemplary embodiments of the present application can be implemented as hardware components and/or software components.
  • Those skilled in the art can implement the various units, for example, using a Field Programmable Gate Array (FPGA) or an Application Specific Integrated Circuit (ASIC), depending on the processing performed by the various defined units.
  • FPGA Field Programmable Gate Array
  • ASIC Application Specific Integrated Circuit
  • the above method according to an exemplary embodiment of the present application may be implemented as a computer program in a computer readable recording medium.
  • the computer program can be implemented by those skilled in the art in accordance with the description of the above method.
  • the above method of the present application is implemented when the computer program is executed in a computer.
  • the method, apparatus, and system for detecting available active power of a wind turbine can more accurately estimate the available active power of the wind turbine due to the fast and accurate effective wind speed detection method employed, and considering the rotational kinetic energy.
  • the detected available active power can satisfy the active power requirement of the primary frequency modulation to the greatest extent possible under the condition that the wind power generator is stably operated.

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  • Sustainable Development (AREA)
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Abstract

一种检测风力发电机组的有功功率的方法,包括:获取风力发电机组的风轮机的转子的当前转速和当前输出的有功功率;基于当前转速和当前输出的有功功率,确定风力发电机组的有效风速;根据有效风速和风力发电机组在当前转速下的最大风能利用率系数,确定风力发电机组在当前转速下能够捕获的最大有功功率;根据能够捕获的最大有功功率以及对应的功率损耗确定风力发电机组能够输出的最大有功功率,并确定风力发电机组在当前转速下能够持续预定时间释放风轮机的旋转动能的释放功率;根据能够输出的最大有功功率、释放功率、以及当前输出的有功功率,确定风力发电机组的可用有功功率。还涉及一种检测风力发电机组的有功功率的设备。上述方法和设备可准确地检测风力发电机组的可用有功功率。

Description

检测风力发电机组的有功功率的方法和设备 技术领域
本申请涉及风力发电领域。更具体地讲,涉及一种检测风力发电机组的可用有功功率的方法和设备。
背景技术
风能作为一种清洁的可再生能源,越来越受到重视,装机量也不断增加。随着风力发电技术的不断发展,风力发电机组的各种研究也日益深入。
电力系统是一个发电与负荷实时平衡的过程。当电网由于切机或者负荷突变等导致系统频率发生较大变化时,作为发电端的风力发电机组被要求快速灵活地提供调频功率以提高频率稳定性。这就需要准确地预估风力发电机组的可用有功功率,以实现在风力发电机组稳定运行的前提下向电网提供最大的调频功率。
因此,需要更准确地检测风力发电机组的可用有功功率的技术。
发明内容
本申请的一方面提供一种检测风力发电机组的可用有功功率的方法,所述方法包括:获取风力发电机组的风轮机的转子的当前转速和当前输出的有功功率;基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的有效风速;根据所述有效风速和风力发电机组在所述当前转速下的最大风能利用率系数,确定风力发电机组在所述当前转速下能够捕获的最大有功功率;根据所述能够捕获的最大有功功率以及对应的功率损耗确定风力发电机组能够输出的最大有功功率,并确定风力发电机组在所述当前转速下能够持续预定时间释放风轮机的旋转动能的释放功率;根据所述能够输出的最大有功功率、所述释放功率、以及所述当前输出的有功功率,确定风力发电机组的可用有功功率。
本申请的另一方面提供一种检测风力发电机组的可用有功功率的设备,所述设备包括:参数获取单元,获取风力发电机组的风轮机的转子的当前转 速和当前输出的有功功率;有效风速单元,基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的有效风速;第一功率确定单元,根据所述有效风速和风力发电机组在所述当前转速下的最大风能利用率系数,确定风力发电机组在所述当前转速下能够捕获的最大有功功率;第二功率确定单元,根据所述能够捕获的最大有功功率以及对应的功率损耗确定风力发电机组能够输出的最大有功功率,并确定风力发电机组在所述当前转速下能够持续预定时间释放风轮机的旋转动能的释放功率;第三功率确定单元,根据所述能够输出的最大有功功率、所述释放功率、以及所述当前输出的有功功率,确定风力发电机组的可用有功功率。
本申请的另一方面提供一种检测风力发电机组的有效风速的方法,所述方法包括:获取风力发电机组的风轮机的转子的当前转速和当前输出的有功功率;基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的当前叶尖速比;根据所述当前叶尖速比和所述当前转速,确定风力发电机组的有效风速。
本申请的另一方面提供一种检测风力发电机组的有效风速的设备,所述设备包括:参数获取单元,获取风力发电机组的风轮机的转子的当前转速和当前输出的有功功率;叶尖速比单元,基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的当前叶尖速比;有效风速检测单元,根据所述当前叶尖速比和所述当前转速,确定风力发电机组的有效风速。
本申请的另一方面提供一种检测风力发电机组的可用有功功率的系统,所述系统包括:处理器;存储器,存储有计算机程序,当所述计算机程序被处理器执行时,执行上述检测风力发电机组的可用有功功率的方法。
本申请的另一方面提供一种检测风力发电机组的有效风速的系统,所述系统包括:处理器;存储器,存储有计算机程序,当所述计算机程序被处理器执行时,执行上述检测风力发电机组的有效风速的方法。
本申请的另一方面一种存储有计算机程序的计算机可读存储介质,当所述计算机程序被执行时实现上面所述的方法。
根据本申请的检测风力发电机组的可用有功功率的方法、设备和系统由于采用的快速、准确地有效风速检测方法,并且考虑了旋转动能,可以更准确地预估风力发电机组的可用有功功率。此外,在用于风力发电机组的一次调频过程中的可用有功功率的确定时,检测的可用有功功率可在风力发电机 组稳定运行的前提下最大可能地满足一次调频的有功功率需求。
附图说明
为了更清楚地说明本申请实施例的技术方案,下面将对本申请实施例中所需要使用的附图作简单地介绍本申请:
图1示出根据本申请的实施例的检测风力发电机组的可用有功功率的方法的流程图。
图2示出根据本申请的实施例的确定风力发电机组的有效风速的方法的流程图。
图3示出根据本申请的实施例的确定风力发电机组的当前叶尖速比的方法的流程图。
图4示出根据本申请的实施例的检测风力发电机组的可用有功功率的设备的框图。
具体实施方式
图1示出根据本申请的实施例的检测风力发电机组的可用有功功率的方法的流程图。
在步骤S110,获取风力发电机组的风轮机的转子的当前转速和当前输出的有功功率。可通过各种方式来得到转子的当前转速和风力发电机组的当前输出的有功功率,本申请不进行限制。
在步骤S120,基于当前转速和当前输出的有功功率,确定风力发电机组的有效风速。
可以基于当前转速和当前输出的有功功率与风力发电机组的有效风速之间的各种关系,确定风力发电机组的有效风速。
下面,参照图2描述本申请的确定风力发电机组的有效风速的实施例。
在步骤S210,基于当前转速和当前输出的有功功率,确定风力发电机组的当前叶尖速比。可基于转速和输出的有功功率之间的各种关系来确定叶尖速比。
下面,参照图3描述本申请的确定风力发电机组的当前叶尖速比的实施例。
图3示出根据本申请的实施例的确定风力发电机组的当前叶尖速比的方 法的流程图。
参照图3,在步骤S310,根据当前转速和当前输出的有功功率,确定指示风电机组的风能利用率系数与叶尖速比的预定关系的关系值。
可以利用包含转速、输出的有功功率、风能利用率系数、叶尖速比的关系式而得到所述预定关系。
在一些实施例中,所述预定关系为风电机组的风能利用率系数与叶尖速比的三次方的比值。在此情况下,根据当前转速和当前输出的有功功率确定风电机组的风能利用率系数与叶尖速比的三次方的比值。
例如,所述比值与当前输出的有功功率和功率损耗成正比,与空气密度、风电机组的叶轮机的叶轮半径的五次方以及当前转速的三次方成反比。可基于该关系来得到所述比值。下面的等式(1)示出所述比值与这些参数的具体关系。
Figure PCTCN2018082677-appb-000001
其中,C p表示风电机组的风能利用率系数,λ表示当前叶尖速比,P out表示风电机组当前输出的有功功率,P loss表示功率损耗,ρ表示空气密度,R表示叶轮半径,ω表示风轮机的转子的当前转速。
应该理解的是,也可以利用包含转速、输出的有功功率、风能利用率系数、叶尖速比的其他关系式而得到的风能利用率系数与叶尖速比的关系,可以根据准确度、参数的获取难易程度、计算复杂度选择计算方式。
在步骤S320,根据风力发电机组的当前桨距角和确定的关系值,得到风力发电机组的当前叶尖速比。
在一些实施例中,可预先确定出桨距角、关系值(或风能利用率系数)、叶尖速比之间的对应关系(例如,记录了桨距角、关系值(或风能利用率系数)、叶尖速之间的映射关系的预定关系表),从而基于该对应关系得到与当前桨距角和确定的关系值对应的当前叶尖速比。
其中,所述预定关系表记录了叶尖速比、桨距角、风能利用率系数之间的映射关系。也就是说,可基于上面参数中的两个确定对应的另一个参数,也可基于一个参数确定对应的另外两个参数的组合(即,另外两个参数组成 的参数对)。例如,所述预定关系表可以是基于叶尖速比、桨距角来查找对应的风能利用率系数的表,此时可基于某个叶尖速比和某个桨距角确定对应的风能利用率系数。此外,还可通过预先建立的风力发电机组的空气动力学模型,来获得不同的叶尖速比不同的桨距角所对应的风能利用率系数来得到所述预定关系表。
下面的表1示出本申请的所述预定关系表的一个示例。
表1
C p β 1 β n
λ 1 3 C p11 C p1n
λ m 3 C pm1 C pmn
如表1所示,表1示出桨距角(即,n个桨距角β 1至β n)与叶尖速比的三次方(即,m个叶尖速比的三次方λ 1 3至λ m 3)的不同组合所对应的风能利用率系数(即,C p11至C pmn)。在此情况下,可基于桨距角和叶尖速比从表1确定对应的风能利用率系数,也可基于桨距角确定对应的叶尖速比和风能利用率系数的组合(即,叶尖速比和风能利用率系数组成的参数对)。
应该理解的是,在表1中使用叶尖速比的三次方是为了加快搜索速度,也可直接使用叶尖速比(即,叶尖速比的一次方)。
在此情况下,从预定关系表获取与当前桨距角对应的风能利用率系数和叶尖速比的组合(例如,在表1的情况下,如果当前桨距角为β 1,则获取与β 1对应的风能利用率系数和叶尖速比的组合(C p11,λ 1 3)……(C pm1,λ m 3));从获取的风能利用率系数和叶尖速比的组合之中,获得具有与确定的关系值最接近的指示所述预定关系的关系值的组合(即,从找到的组合中确定C p3的值最接近在步骤S310确定的关系值的组合);将获得的组合之中的叶尖速比作为当前叶尖速比(例如,如果(C p11,λ 1 3)的指示所述预定关系的关系值的C p111 3最接近在步骤S310确定的关系值,则将λ 1作为当前叶尖速比)。
返回图2,在步骤S220,根据当前叶尖速比和当前转速,确定风力发电机组的有效风速。例如,可根据当前叶尖速比、当前转速与有效风速之间的各种关系确定有效风速。在一些实施例中,根据所述当前叶尖速比、所述当前转速以及风轮机的叶轮半径,确定风力发电机组的等效风速。
下面的等式(2)示出风力发电机组的有效风速的计算。
Figure PCTCN2018082677-appb-000002
其中,U e为有效风速,λ表示当前叶尖速比,ω表示风轮机的转子的当前转速,R为叶轮半径。
根据本申请的实施例的有效风速的检测方法,可以准确、高速地确定出风力发电机组的有效风速(例如,可以达到秒级甚至毫米级确定有效风速),从而满足风力发电机组的一次调频的快速响应速度需要。
返回图1,在步骤S130,根据有效风速和风力发电机组在当前转速下的最大风能利用率系数,确定风力发电机组在所述当前转速下能够捕获的最大有功功率。
在一些实施例中,可通过上面所述的预定关系表来获得风力发电机组在当前转速下的最大风能利用率系数。具体地说,可从预定关系表获取与当前叶尖速比对应的风能利用率系数(例如,在表1的情况下,如果当前叶尖速比为λ m,则对应的风能利用率系数包括C pm1……C pmn),将获取的风能利用率系数之中的最大的风能利用率系数作为所述最大风能利用率系数。当在一定时间内叶尖速比不变时,转速也不变,因此可基于叶尖速比确定相应转速下的最大风能利用率系数。
在得到了最大风能利用率系数的情况下,可基于有效风速、当前转速以及风力发电机组的参数来得到风力发电机组在所述当前转速下能够捕获的最大有功功率,也即,在有效风速和转速不变的情况下可捕获的最大有功功率。
例如,可基于下面的等式(3)计算能够捕获的最大有功功率。
Figure PCTCN2018082677-appb-000003
其中,P in_max表示能够捕获的最大有功功率,λ表示当前叶尖速比,ω表示风轮机的转子的当前转速,R为叶轮半径,Cp max表示最大风能利用率系数,ρ表示空气密度。
在步骤S140,确定风力发电机组在当前转速下能够持续预定时间释放风轮机的旋转动能的释放功率。
所述预定时间为风力发电机组在一次调频中需要使得输出功率处于升高 状态所持续的时间长度。考虑到保证风力发电机组稳定运行不脱网,风力发电机组释放的动能不应使风轮机的转子的转速下降过大(例如,小于或等于风力发电机组的并网切入转速),因此,所述释放功率满足如下条件:风力发电机组以所述释放功率在所述当前转速下持续预定时间释放风轮机的旋转动能后,能够在大于风力发电机组的并网切入转速下运行。
其中,可通过下面的等式(4)计算释放功率。
Figure PCTCN2018082677-appb-000004
其中,P rotating表示释放功率,J表示风力发电机组的转动惯量,ω表示风轮机的转子的当前转速,ω cut_in表示风力发电机组的并网切入转速,k为大于1的转速系数,T表示预定时间。
可通过调整k的大小来使得风力发电机组释放的动能不会使风轮机的转子的转速下降过大(例如,小于或等于风力发电机组的并网切入转速)。即,通过调整k使得风力发电机组以所述释放功率在所述当前转速下持续预定时间释放风轮机的旋转动能后,能够在大于风力发电机组的并网切入转速下运行。
在本申请中,对步骤S130和步骤S140的执行次序不进行限制,可以同时执行步骤S130和步骤S140,或者先执行步骤S130然后执行步骤S140,或者先执行步骤S140然后执行步骤S130。
在步骤S150,根据所述能够输出的最大有功功率、所述释放功率、以及所述当前输出的有功功率,确定风力发电机组的可用有功功率。
具体地说,计算所述能够输出的最大有功功率与所述释放功率的和,并将计算的和减去所述当前输出的有功功率,从而得到风力发电机组的可用有功功率。
下面结合图4描述根据本申请的实施例的检测风力发电机组的可用有功功率的设备。
图4示出根据本申请的实施例的检测风力发电机组的可用有功功率的设备的框图。
如图4所示,根据本申请的实施例的检测风力发电机组的有效风速的设备400包括参数获取单元410、有效风速单元420、第一功率确定单元430、 第二功率确定单元440、第三功率确定单元450。
参数获取单元410获取风力发电机组的风轮机的转子的当前转速和当前输出的有功功率。可通过各种方式来得到转子的当前转速和风力发电机组的当前输出的有功功率,本申请不进行限制。
有效风速单元420基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的有效风速。有效风速单元420可以基于当前转速和当前输出的有功功率与风力发电机组的有效风速之间的各种关系,确定风力发电机组的有效风速
在一些实施例中,有效风速单元420包括叶尖速比单元和有效风速检测单元。叶尖速比单元基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的当前叶尖速比。有效风速检测单元根据所述当前叶尖速比和所述当前转速,确定风力发电机组的有效风速。
在一些实施例中,叶尖速比单元包括关系确定单元和叶尖速比确定单元。
关系确定单元根据当前转速和当前输出的有功功率,确定指示风电机组的风能利用率系数与叶尖速比的预定关系的关系值。例如,关系确定单元可以以图3所示的步骤S310的方式确定关系值。
叶尖速比确定单元根据风力发电机组的当前桨距角和确定的关系值,得到风力发电机组的当前叶尖速比。例如,叶尖速比确定单元可以以图3所示的步骤S320的方式确定当前叶尖速比。
有效风速检测单元根据当前叶尖速比和当前转速,确定风力发电机组的有效风速。例如,可根据所述当前叶尖速比、所述当前转速以及风轮机的叶轮半径,确定风力发电机组的等效风速。
第一功率确定单元430根据所述有效风速和风力发电机组在当前转速下的最大风能利用率系数,确定风力发电机组在当前转速下能够捕获的最大有功功率。例如,第一功率确定单元430可以以图1所示的步骤S140的方式确定能够捕获的最大有功功率。
第二功率确定单元440根据所述能够捕获的最大有功功率以及对应的功率损耗确定风力发电机组能够输出的最大有功功率,并确定风力发电机组在当前转速下能够持续预定时间释放风轮机的旋转动能的释放功率。例如,第二功率确定单元440可以以图1所示的步骤S150的方式确定释放功率。
第三功率确定单元450根据所述能够输出的最大有功功率、所述释放功 率、以及当前输出的有功功率,确定风力发电机组的可用有功功率。具体地说,第三功率确定单元450计算所述能够输出的最大有功功率与所述释放功率的和,并将计算的和减去当前输出的有功功率,从而得到风力发电机组的可用有功功率。
根据本申请的实施例,本申请还提供一种检测风力发电机组的可用有功功率的系统。所述系统包括:处理器和存储器。存储器存储有计算机程序,当所述计算机程序被处理器执行时,实现上面描述的根据本申请的实施例的检测风力发电机组的可用有功功率的方法。
此外,应该理解的是,根据本申请示例性实施例的设备中的各个单元可被实现硬件组件和/或软件组件。本领域技术人员根据限定的各个单元所执行的处理,可以例如使用现场可编程门阵列(FPGA)或专用集成电路(ASIC)来实现各个单元。
此外,根据本申请示例性实施例的上述方法可以被实现为计算机可读记录介质中的计算机程序。本领域技术人员可以根据对上述方法的描述来实现所述计算机程序。当所述计算机程序在计算机中被执行时实现本申请的上述方法。
根据本申请的检测风力发电机组的可用有功功率的方法、设备和系统由于采用的快速、准确地有效风速检测方法,并且考虑了旋转动能,可以更准确地预估风力发电机组的可用有功功率。此外,在用于风力发电机组的一次调频过程中的可用有功功率的确定时,检测的可用有功功率可在风力发电机组稳定运行的前提下最大可能地满足一次调频的有功功率需求。
尽管已经参照其示例性实施例具体显示和描述了本申请,但是本领域的技术人员应该理解,在不脱离权利要求所限定的本申请的精神和范围的情况下,可以对其进行形式和细节上的各种改变。

Claims (20)

  1. 一种检测风力发电机组的可用有功功率的方法,其特征在于,所述方法包括:
    获取风力发电机组的风轮机的转子的当前转速和当前输出的有功功率;
    基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的有效风速;
    根据所述有效风速和风力发电机组在所述当前转速下的最大风能利用率系数,确定风力发电机组在所述当前转速下能够捕获的最大有功功率;
    根据所述能够捕获的最大有功功率以及对应的功率损耗确定风力发电机组能够输出的最大有功功率,并确定风力发电机组在所述当前转速下能够持续预定时间释放风轮机的旋转动能的释放功率;
    根据所述能够输出的最大有功功率、所述释放功率、以及所述当前输出的有功功率,确定风力发电机组的可用有功功率。
  2. 根据权利要求1所述的方法,其特征在于,确定风力发电机组的有效风速的步骤包括:
    基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的当前叶尖速比;
    根据所述当前叶尖速比和所述当前转速,确定风力发电机组的有效风速。
  3. 根据权利要求2所述的方法,其特征在于,确定风力发电机组的当前叶尖速比的步骤包括:
    根据所述当前转速和所述当前输出的有功功率,确定指示风电机组的风能利用率系数与叶尖速比的预定关系的关系值;
    根据风力发电机组的当前桨距角和确定的关系值,得到风力发电机组的当前叶尖速比。
  4. 根据权利要求3所述的方法,其特征在于,得到风力发电机组的当前叶尖速比的步骤包括:
    从预定关系表获取与所述当前桨距角对应的风能利用率系数和叶尖速比的组合,其中,所述预定关系表记录了叶尖速比、桨距角、风能利用率系数之间的映射关系;
    从获取的风能利用率系数和叶尖速比的组合之中,获得具有与确定的关 系值最接近的指示所述预定关系的关系值的组合;
    将获得的组合之中的叶尖速比作为所述当前叶尖速比。
  5. 根据权利要求3或4所述的方法,其特征在于,所述预定关系为风电机组的风能利用率系数与叶尖速比的三次方的比值。
  6. 根据权利要求2所述的方法,其特征在于,所述最大风能利用率系数通过如下方式被获取:
    从预定关系表获取与所述当前叶尖速比对应的风能利用率系数,其中,所述预定关系表记录了叶尖速比、桨距角、风能利用率系数之间的映射关系;
    将获取的风能利用率系数之中的最大的风能利用率系数作为所述最大风能利用率系数。
  7. 根据权利要求1所述的方法,其特征在于,确定风力发电机组的可用有功功率的步骤包括:计算所述能够输出的最大有功功率与所述释放功率的和,并将计算的和减去所述当前输出的有功功率。
  8. 根据权利要求1所述的方法,其特征在于,所述预定时间为风力发电机组在一次调频中需要使得输出功率处于升高状态所持续的时间长度。
  9. 根据权利要求1所述的方法,其特征在于,所述释放功率满足如下条件:风力发电机组以所述释放功率在所述当前转速下持续预定时间释放风轮机的旋转动能后,能够在大于风力发电机组的并网切入转速下运行。
  10. 一种检测风力发电机组的可用有功功率的设备,其特征在于,所述设备包括:
    参数获取单元,获取风力发电机组的风轮机的转子的当前转速和当前输出的有功功率;
    有效风速单元,基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的有效风速;
    第一功率确定单元,根据所述有效风速和风力发电机组在所述当前转速下的最大风能利用率系数,确定风力发电机组在所述当前转速下能够捕获的最大有功功率;
    第二功率确定单元,根据所述能够捕获的最大有功功率以及对应的功率损耗确定风力发电机组能够输出的最大有功功率,并确定风力发电机组在所述当前转速下能够持续预定时间释放风轮机的旋转动能的释放功率;
    第三功率确定单元,根据所述能够输出的最大有功功率、所述释放功率、 以及所述当前输出的有功功率,确定风力发电机组的可用有功功率。
  11. 根据权利要求10所述的设备,其特征在于,有效风速单元包括:
    叶尖速比单元,基于所述当前转速和所述当前输出的有功功率,确定风力发电机组的当前叶尖速比;
    有效风速检测单元,根据所述当前叶尖速比和所述当前转速,确定风力发电机组的有效风速。
  12. 根据权利要求11所述的设备,其特征在于,叶尖速比单元包括:
    关系确定单元,根据所述当前转速和所述当前输出的有功功率,确定指示风电机组的风能利用率系数与叶尖速比的预定关系的关系值;
    叶尖速比确定单元,根据风力发电机组的当前桨距角和确定的关系值,得到风力发电机组的当前叶尖速比。
  13. 根据权利要求12所述的设备,其特征在于,叶尖速比确定单元从预定关系表获取与所述当前桨距角对应的风能利用率系数和叶尖速比的组合,其中,所述预定关系表记录了叶尖速比、桨距角、风能利用率系数之间的映射关系;从获取的风能利用率系数和叶尖速比的组合之中,获得具有与确定的关系值最接近的指示所述预定关系的关系值的组合;将获得的组合之中的叶尖速比作为所述当前叶尖速比。
  14. 根据权利要求12或13所述的设备,其特征在于,所述预定关系为风电机组的风能利用率系数与叶尖速比的三次方的比值。
  15. 根据权利要求11所述的设备,其特征在于,所述最大风能利用率系数通过如下方式被获取:
    从预定关系表获取与所述当前叶尖速比对应的风能利用率系数,其中,所述预定关系表记录了叶尖速比、桨距角、风能利用率系数之间的映射关系;
    将获取的风能利用率系数之中的最大的风能利用率系数作为所述最大风能利用率系数。
  16. 根据权利要求10所述的设备,其特征在于,第三功率确定单元计算所述能够输出的最大有功功率与所述释放功率的和,并将计算的和减去所述当前输出的有功功率。
  17. 根据权利要求10所述的设备,其特征在于,所述预定时间为风力发电机组在一次调频中需要使得输出功率处于升高状态所持续的时间长度。
  18. 根据权利要求10所述的设备,其特征在于,所述释放功率满足如下 条件:风力发电机组以所述释放功率在所述当前转速下持续预定时间释放风轮机的旋转动能后,能够在大于风力发电机组的并网切入转速下运行。
  19. 一种检测风力发电机组的可用有功功率的系统,其特征在于,所述系统包括:
    处理器;
    存储器,存储有计算机程序,当所述计算机程序被处理器执行时,执行权利要求1至9中的任意一项所述的方法。
  20. 一种存储有计算机程序的计算机可读存储介质,当所述计算机程序被执行时实现权利要求1至9中的任意一项所述的方法。
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