CN109546650B - Estimation method and device for transient stability limit of transmission channel - Google Patents

Estimation method and device for transient stability limit of transmission channel Download PDF

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CN109546650B
CN109546650B CN201811462312.9A CN201811462312A CN109546650B CN 109546650 B CN109546650 B CN 109546650B CN 201811462312 A CN201811462312 A CN 201811462312A CN 109546650 B CN109546650 B CN 109546650B
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transmission channel
generator
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CN109546650A (en
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程雪婷
张文朝
郑惠萍
杨俊炜
刘新元
张亚丽
薄利明
段伟文
杨尉薇
曲莹
王玮茹
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Electric Power Research Institute of State Grid Shanxi Electric Power Co Ltd
Beijing Kedong Electric Power Control System Co Ltd
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Beijing Kedong Electric Power Control System Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46Controlling of the sharing of output between the generators, converters, or transformers

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Abstract

The disclosure provides a method and a device for estimating transient stability limit of a power transmission channel, and belongs to the field of power systems. The power transmission channel transient stability limit estimation method and device are applied to a power system, the power system comprises a generator and a power transmission channel, the transient stability limit power before and after the fault of the power transmission channel is obtained, the power angle of the generator when the fault is removed is obtained through calculation according to the transient stability limit power before and after the fault of the power transmission channel, the coefficient K is obtained through calculation according to the power angle of the generator when the fault is removed after the power angle of the generator when the fault is removed, the transient stability limit power of the power transmission channel is obtained through calculation according to the transient stability limit power after the fault of the power transmission channel and the coefficient K after the coefficient K is obtained, voltage reactive power does not need to be adjusted repeatedly, and the calculation efficiency is greatly improved.

Description

输电通道暂稳极限的估算方法及装置Estimation method and device for transient stability limit of transmission channel

技术领域technical field

本公开涉及电力系统领域,具体而言,涉及一种输电通道暂稳极限的估算方法及装置。The present disclosure relates to the field of power systems, and in particular, to a method and device for estimating the temporary stability limit of a power transmission channel.

背景技术Background technique

随着用电负荷增大,使得电网区域结构更加复杂,而区域间的功率交换能力对于电网的安全稳定性产生很大的影响,加之现代电力系统运行方式和运行工况的灵活多变性,功率传输能力也随着方式和工况的变化而变化。因此,需要准确而又快速的确定联络线的功率传输能力,使其在满足安全性及可靠性的前提下最大程度的满足用电负荷需求,以提高决策的快速性。With the increase of electricity load, the regional structure of the power grid becomes more complex, and the power exchange capacity between regions has a great impact on the security and stability of the power grid. Transmission capacity also varies with mode and operating conditions. Therefore, it is necessary to accurately and quickly determine the power transmission capability of the tie line, so that it can meet the power load demand to the greatest extent under the premise of satisfying safety and reliability, so as to improve the rapidity of decision-making.

在工程中,暂稳极限功率是采用时域仿真程序计算的,需要在潮流中改变送受端的发电机组出力,通过不断仿真逼近稳定极限值。但是如果在潮流很重的情况下,系统因电压跌落严重造成潮流计算的不收敛,工作人员则需要通过对电压无功的调节以使得潮流计算重新收敛,操作复杂,效率低。In engineering, the temporary stability limit power is calculated by the time domain simulation program, and the output of the generator set at the sending and receiving ends needs to be changed during the power flow, and the stable limit value is approached through continuous simulation. However, if the power flow is heavy and the system does not converge due to serious voltage drop, the staff needs to adjust the voltage and reactive power to make the power flow calculation reconverge, which is complicated and inefficient.

发明内容SUMMARY OF THE INVENTION

有鉴于此,本公开提供一种输电通道暂稳极限的估算方法及装置。In view of this, the present disclosure provides a method and device for estimating the transient stability limit of a power transmission channel.

本公开提供一种输电通道暂稳极限的估算方法,应用于电力系统,所述电力系统包括发电机和输电通道,所述方法包括:The present disclosure provides a method for estimating the temporary stability limit of a power transmission channel, which is applied to a power system, where the power system includes a generator and a power transmission channel, and the method includes:

获取所述输电通道故障前和故障后的静稳极限功率。Obtain the static and stable limit power of the transmission channel before and after the fault.

根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机切除故障时的功角。The power angle of the generator when the fault is removed is calculated according to the static and stable limit power of the power transmission channel before and after the fault.

根据所述发电机切除故障时的功角计算系数K。The coefficient K is calculated according to the power angle of the generator when the fault is removed.

根据所述输电通道故障后的静稳极限功率以及所述系数K计算暂稳极限功率。The transient stability limit power is calculated according to the static stability limit power after the failure of the transmission channel and the coefficient K.

进一步的,所述电力系统还包括送端机组和受端机组,所述送端机组和受端机组通过所述输电通道连接,获取所述输电通道故障前和故障后的静稳极限功率的步骤包括:Further, the power system further includes a sending-end unit and a receiving-end unit, the sending-end unit and the receiving-end unit are connected through the power transmission channel, and the step of obtaining the static stability limit power before and after the fault of the power transmission channel include:

根据静态功角稳定实用算法,逐步增加所述送端机组的功率,并相应地减少受端机组功率,以分别计算得到所述输电通道故障前和故障后的静态功角稳定极限。According to the static power angle stabilization practical algorithm, the power of the sending-end unit is gradually increased, and the power of the receiving-end unit is correspondingly reduced, so as to calculate the static power angle stability limit of the transmission channel before and after the fault.

分别根据所述输电通道故障前和故障后的静态功角稳定极限得到所述输电通道故障前和故障后的输电通道或断面的最大输送功率,将分别得到的所述输电通道故障前和故障后的输电通道或断面的最大输送功率作为故障前和故障后的静稳极限功率。Obtain the maximum transmission power of the transmission channel or section of the transmission channel before and after the fault according to the static power angle stability limits of the transmission channel before and after the fault, respectively, and use the obtained pre-fault and post-fault of the transmission channel respectively. The maximum transmission power of the transmission channel or section is taken as the static and stable limit power before and after the fault.

进一步的,根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机切除故障时的功角的步骤包括:Further, the step of calculating the power angle of the generator when the fault is removed according to the static and stable limit power of the transmission channel before and after the fault includes:

根据所述输电通道故障前和故障后的静稳极限功率通过以下公式计算得到所述发电机的初始功角δ0According to the static and stable limit power of the transmission channel before and after the fault, the initial power angle δ 0 of the generator is calculated by the following formula:

Figure BDA0001887481520000031
Figure BDA0001887481520000031

根据所述发电机的初始功角δ0、发电机额定有功功率以及转动惯量通过以下公式计算得到所述发电机切除故障时的功角δcAccording to the initial power angle δ 0 of the generator, the rated active power of the generator and the moment of inertia, the power angle δ c of the generator when the fault is removed is calculated by the following formula:

Figure BDA0001887481520000032
Figure BDA0001887481520000032

其中,PImax为故障前的静稳极限功率,PIImax为故障后的静稳极限功率,Pn为发电机额定有功功率,PT为同初始潮流下原动机的机械功率,ω0为初始发电机转速,Tj为转动惯量,t为故障时间,在计算过程中,

Figure BDA0001887481520000033
Among them, P Imax is the static stability limit power before the fault, P IImax is the static stability limit power after the fault, P n is the rated active power of the generator, P T is the mechanical power of the prime mover under the same initial power flow, ω 0 is the initial generator speed, T j is the moment of inertia, t is the fault time, in the calculation process,
Figure BDA0001887481520000033

进一步的,根据所述发电机切除故障时的功角,通过以下公式计算得到所述系数K:Further, according to the power angle of the generator when the fault is removed, the coefficient K is calculated by the following formula:

Figure BDA0001887481520000034
Figure BDA0001887481520000034

其中,δc为切除故障时的功角,π-δst为达到极限时功角,即故障后的静态功角稳定极限,δ0为发电机的初始功角。Among them, δ c is the power angle when the fault is removed, π-δst is the power angle when the limit is reached, that is, the static power angle stability limit after the fault, and δ 0 is the initial power angle of the generator.

进一步的,所述系数K通过以下步骤得到:Further, the coefficient K is obtained through the following steps:

计算短路发生至故障切除时刻,机组加速面积。Calculate the acceleration area of the unit when the short circuit occurs to the moment when the fault is removed.

计算故障切除时刻至极限切除角时刻,机组减速面积。Calculate the deceleration area of the unit from the time of fault removal to the time of the limit removal angle.

基于等面积原则,所述机组加速面积等于所述机组减速面积,得到所述系数K。Based on the principle of equal area, the acceleration area of the unit is equal to the deceleration area of the unit, and the coefficient K is obtained.

进一步的,所述机组加速面积通过以下公式计算得到:Further, the acceleration area of the unit is calculated by the following formula:

S=(δC0)×PT=(δC0)×PIImax×sinδstS plus =(δ C −δ 0 )×P T =(δ C −δ 0 )×P IImax ×sinδ st ;

其中,δ0为正常运行时发电机的初始功角,δc为发电机切除故障时的功角,π-δst为达到极限时功角,PIImax为故障后的静稳极限功率,PT表示同初始潮流下原动机的机械功率。Among them, δ 0 is the initial power angle of the generator during normal operation, δ c is the power angle of the generator when the fault is removed, π-δst is the power angle when the limit is reached, P IImax is the static stability limit power after the fault, P T Represents the mechanical power of the prime mover under the same initial power flow.

进一步的,所述机组减速面积通过以下公式计算得到:Further, the deceleration area of the unit is calculated by the following formula:

Figure BDA0001887481520000041
Figure BDA0001887481520000041

其中,δc为切除故障时功角,π-δst为达到极限时功角,PIImax为故障后的静稳极限功率,PT表示同初始潮流下原动机的机械功率,PE为电磁功率。Among them, δ c is the power angle when the fault is removed, π-δst is the power angle when the limit is reached, P IImax is the static and stable limit power after the fault, P T is the mechanical power of the prime mover under the same initial power flow, and P E is the electromagnetic power. .

进一步的,基于等面积原则,所述机组加速面积等于所述机组减速面积,得到系数K的步骤包括:Further, based on the principle of equal area, the acceleration area of the unit is equal to the deceleration area of the unit, and the step of obtaining the coefficient K includes:

定义ΔE=减速能量-加速能量=减速面积-加速面积,计算得到:Definition ΔE = deceleration energy - acceleration energy = deceleration area - acceleration area, the calculation can be obtained:

ΔE=S-S=PIImax×(cosδst+cosδC)-PIImax×sinδst×(π-δstC)-(δC0)×PIImax×sinδstΔE=S minus -S plus =P IImax ×(cosδ st +cosδ C )-P IImax ×sinδ st ×(π-δ st −δ C )-(δ C −δ 0 )×P IImax ×sinδ st ;

化简得:Simplified to:

ΔE=PIImax×(cosδst+cosδC)-PIImax×sinδst×(π-δst0);ΔE=P IImax ×(cosδ st +cosδ C )-P IImax ×sinδ st ×(π-δ st0 );

基于等面积原则,所述机组加速面积等于所述机组减速面积,得到ΔE=0,计算得到:Based on the principle of equal area, the acceleration area of the unit is equal to the deceleration area of the unit, and ΔE=0 is obtained, and the calculation is as follows:

Figure BDA0001887481520000042
Figure BDA0001887481520000042

引入系数K,令K=sinδst,得到:Introduce the coefficient K, let K=sinδ st , get:

Figure BDA0001887481520000051
Figure BDA0001887481520000051

其中,δc为切除故障时功角,π-δst为达到极限时功角,PIImax为故障后的静稳极限功率,δ0为正常运行时发电机的初始功角。Among them, δ c is the power angle when the fault is removed, π-δ st is the power angle when the limit is reached, P IImax is the static and stable limit power after the fault, and δ 0 is the initial power angle of the generator during normal operation.

进一步的,所述暂稳极限功率通过以下公式计算得到:Further, the temporary stability limit power is calculated by the following formula:

Pst=K×PIImaxP st =K×P IImax ;

其中,Pst为暂稳极限功率,PIImax为故障后的静稳极限功率。Among them, P st is the transient stability limit power, and P IImax is the static stability limit power after the fault.

本公开提供一种输电通道暂稳极限的估算装置,应用于电力系统,所述电力系统包括发电机和输电通道,所述估算装置包括处理模块以及计算模块,所述处理模块用于获取所述输电通道故障前和故障后的静稳极限功率。The present disclosure provides an estimation device for the temporary stability limit of a power transmission channel, which is applied to a power system. The power system includes a generator and a power transmission channel. The estimation device includes a processing module and a calculation module, and the processing module is used to obtain the The static limit power before and after the fault of the transmission channel.

所述计算模块用于根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机切除故障时的功角,根据所述发电机切除故障时的功角计算系数K;并根据所述发电机故障后的静稳极限功率以及所述系数K计算暂稳极限功率。The calculation module is used to calculate the power angle of the generator when the fault is removed according to the static and stable limit power of the transmission channel before and after the fault, and to calculate the coefficient K according to the power angle of the generator when the fault is removed; The static stability limit power after the generator failure and the coefficient K are used to calculate the temporary stability limit power.

本公开提供的输电通道暂稳极限的估算方法及装置,应用于电力系统,所述电力系统包括发电机和输电通道,通过获取输电通道故障前和故障后的静稳极限功率,并根据输电通道故障前和故障后的静稳极限功率计算得到发电机切除故障时的功角,在得到发电机切除故障时的功角后,根据发电机切除故障时的功角计算得到系数K,在得到系数K后,根据输电通道故障后的静稳极限功率以及系数K计算得到输电通道的暂稳极限功率,无需对电压无功进行反复调节,操作便捷,极大提高了计算效率。The method and device for estimating the transient stability limit of a power transmission channel provided by the present disclosure are applied to a power system including a generator and a power transmission channel. The static and stable limit power before and after the fault is calculated to obtain the power angle of the generator when the fault is removed. After the power angle of the generator when the fault is removed, the coefficient K is calculated according to the power angle of the generator when the fault is removed. After K, the temporary stable limit power of the transmission channel is calculated according to the static and stable limit power after the failure of the transmission channel and the coefficient K, and there is no need to repeatedly adjust the voltage and reactive power. The operation is convenient and the calculation efficiency is greatly improved.

为使本公开的上述目的、特征和优点能更明显易懂,下文特举较佳实施例,并配合所附附图,作详细说明如下。In order to make the above-mentioned objects, features and advantages of the present disclosure more obvious and easy to understand, the preferred embodiments are exemplified below, and are described in detail as follows in conjunction with the accompanying drawings.

附图说明Description of drawings

为了更清楚地说明本公开的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,应当理解,以下附图仅示出了本公开的某些实施例,因此不应被看作是对范围的限定,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他相关的附图。In order to illustrate the technical solutions of the present disclosure more clearly, the accompanying drawings required in the embodiments will be briefly introduced below. It should be understood that the following drawings only show some embodiments of the present disclosure, and therefore should not be It is regarded as a limitation of the scope, and for those of ordinary skill in the art, other related drawings can also be obtained according to these drawings without any creative effort.

图1为本公开所提供的电力系统的一种方框示意图。FIG. 1 is a schematic block diagram of a power system provided by the present disclosure.

图2为本公开所提供的输电通道暂稳极限的估算方法的一种流程示意图。FIG. 2 is a schematic flowchart of a method for estimating the temporary stability limit of a power transmission channel provided by the present disclosure.

图3为本公开所提供的输电通道暂稳极限的估算方法的另一种流程示意图。FIG. 3 is another schematic flowchart of the method for estimating the transient stability limit of a power transmission channel provided by the present disclosure.

图4为本公开所提供的单机无穷大系统功角特性曲线。FIG. 4 is a power angle characteristic curve of a single-machine infinite system provided by the present disclosure.

图5为本公开正常方式下的输电通道的静稳曲线。FIG. 5 is a static stability curve of a power transmission channel in the normal mode of the present disclosure.

图6为本公开故障后的输电通道的静稳曲线。FIG. 6 is a static stability curve of a power transmission channel after a fault of the present disclosure.

图7为本公开故障后的发电机功角曲线。FIG. 7 is a generator power angle curve after a fault of the present disclosure.

图8为本公开暂态稳定后的发电机的功角曲线。FIG. 8 is a power angle curve of the generator after transient stabilization of the present disclosure.

图9为本公开暂态稳定后的输电通道的有功功率曲线。FIG. 9 is an active power curve of a power transmission channel after transient stabilization of the present disclosure.

图10为本公开提供的输电通道暂稳极限的估算装置的方框示意图。FIG. 10 is a schematic block diagram of an apparatus for estimating the transient stability limit of a power transmission channel provided by the present disclosure.

图标:100-电力系统;10-送端机组;11-发电机;20-受端机组;30-估算装置;31-处理模块;32-计算模块。Icons: 100-power system; 10-sending unit; 11-generator; 20-receiving unit; 30-estimating device; 31-processing module; 32-calculating module.

具体实施方式Detailed ways

下面将结合本公开中附图,对本公开中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本公开一部分实施例,而不是全部的实施例。通常在此处附图中描述和示出的本公开的组件可以以各种不同的配置来布置和设计。因此,以下对在附图中提供的本公开的实施例的详细描述并非旨在限制要求保护的本公开的范围,而是仅仅表示本公开的选定实施例。基于本公开的实施例,本领域技术人员在没有做出创造性劳动的前提下所获得的所有其他实施例,都属于本公开保护的范围。The technical solutions in the present disclosure will be clearly and completely described below with reference to the accompanying drawings in the present disclosure. Obviously, the described embodiments are only a part of the embodiments of the present disclosure, but not all of the embodiments. The components of the present disclosure generally described and illustrated in the drawings herein may be arranged and designed in a variety of different configurations. Therefore, the following detailed description of the embodiments of the disclosure provided in the accompanying drawings is not intended to limit the scope of the disclosure as claimed, but is merely representative of selected embodiments of the disclosure. Based on the embodiments of the present disclosure, all other embodiments obtained by those skilled in the art without creative work fall within the protection scope of the present disclosure.

应注意到:相似的标号和字母在下面的附图中表示类似项,因此,一旦某一项在一个附图中被定义,则在随后的附图中不需要对其进行进一步定义和解释。It should be noted that like numerals and letters refer to like items in the following figures, so once an item is defined in one figure, it does not require further definition and explanation in subsequent figures.

随着用电负荷增大,使得电网区域结构更加复杂,而区域间的功率交换能力对于电网的安全稳定性产生很大的影响,加之现代电力系统运行方式和运行工况的灵活多变性,功率传输能力也随着方式和工况的变化而变化。因此,需要准确而又快速的确定联络线的功率传输能力,使其在满足安全性及可靠性的前提下最大程度的满足用电负荷需求,以提高决策的快速性。With the increase of electricity load, the regional structure of the power grid becomes more complex, and the power exchange capacity between regions has a great impact on the security and stability of the power grid. Transmission capacity also varies with mode and operating conditions. Therefore, it is necessary to accurately and quickly determine the power transmission capability of the tie line, so that it can meet the power load demand to the greatest extent under the premise of satisfying safety and reliability, so as to improve the rapidity of decision-making.

理论上一般采用直接法对暂态稳定极限进行分析,直接法以其计算速度快的特点,在暂态安全分析的在线应用中具有很好的前景,但是其仍摆脱不了直接法保守性以及模型限制的缺陷,总之,用直接法来进行暂态稳定极限分析,受到直接法相应的计算精度和速度的制约。在工程中,暂稳极限功率是采用时域仿真程序计算的,需要在潮流中改变送受端的发电机组出力,通过不断仿真逼近稳定极限值。但是如果在潮流很重的情况下,系统因电压跌落严重造成潮流计算的不收敛,方式人员则需要通过对电压无功的调节以使得潮流计算重新收敛。这个调潮流的过程是很耗费时间的,且操作复杂,效率低。In theory, the direct method is generally used to analyze the transient stability limit. The direct method has a good prospect in the online application of transient safety analysis due to its fast calculation speed, but it still cannot get rid of the conservatism and model of the direct method. The limitation of the defect, in short, the use of the direct method for transient stability limit analysis is restricted by the corresponding calculation accuracy and speed of the direct method. In engineering, the temporary stability limit power is calculated by the time domain simulation program, and the output of the generator set at the sending and receiving ends needs to be changed during the power flow, and the stable limit value is approached through continuous simulation. However, if the power flow is heavy and the system does not converge due to serious voltage drop, the mode personnel need to adjust the voltage and reactive power to re-converge the power flow calculation. This process of adjusting the power flow is time-consuming, complicated to operate, and inefficient.

基于上述研究,本公开提供一种输电通道暂稳极限的估算方法及装置,以改善上述问题。Based on the above research, the present disclosure provides a method and device for estimating the transient stability limit of a power transmission channel to improve the above problems.

请结合参阅图1,本公开提供的输电通道暂稳极限的估算方法应用于图1所示的电力系统100,所述电力系统100包括送端机组10、受端机组20以及输电通道,所述送端机组10和受端机组20通过输电通道连接,以使送端机组10将电力输送到受端机组20,所述送端机组10包括发电机11。Please refer to FIG. 1 , the method for estimating the temporary stability limit of a transmission channel provided by the present disclosure is applied to the power system 100 shown in FIG. 1 . The sending-end unit 10 and the receiving-end unit 20 are connected by a power transmission channel, so that the sending-end unit 10 transmits electric power to the receiving-end unit 20 , and the sending-end unit 10 includes a generator 11 .

请结合参阅图2,图2为本公开所提供的输电通道暂稳极限的估算方法的流程示意图。下面对图2所示的流程示意图进行具体阐述。Please refer to FIG. 2 , which is a schematic flowchart of a method for estimating the transient stability limit of a power transmission channel provided by the present disclosure. The flow chart shown in FIG. 2 will be described in detail below.

步骤S10:获取所述输电通道故障前和故障后的静稳极限功率。Step S10: Obtain the static and stable limit power of the power transmission channel before and after the fault.

电力系统100静态稳定计算分析的目的是应用相应的判据确定电力系统100逐个被加载运行点的静态稳定性,求取在给定方式下的静态输送功率极限和静稳定储备,检验给定运行方式的静稳定储备是否满足要求。因此,对于大电源送出线、联系薄弱的电网联络线、大受端系统、网络中的薄弱断面等需要进行静态稳定分析。The purpose of the calculation and analysis of the static stability of the power system 100 is to apply the corresponding criteria to determine the static stability of the power system 100 loaded operating points one by one, to obtain the static transmission power limit and static stability reserve in a given mode, and to verify the given operation. Whether the static stability reserve of the method meets the requirements. Therefore, it is necessary to carry out static stability analysis for large power transmission lines, weak grid tie lines, large receiving end systems, and weak sections in the network.

进一步的,请结合参阅图3,获取所述输电通道故障前和故障后的静稳极限功率的步骤包括步骤S11至步骤S12。Further, please refer to FIG. 3 , the steps of acquiring the static and stable limit power of the power transmission channel before and after the fault include steps S11 to S12 .

步骤S12:根据静态功角稳定实用算法,逐步增加所述送端机组10的功率,并相应地减少受端机组20功率,以分别计算得到所述输电通道故障前和故障后的静态功角稳定极限。Step S12: According to the static power angle stabilization practical algorithm, gradually increase the power of the sending-end unit 10, and correspondingly reduce the power of the receiving-end unit 20, so as to calculate the static power angle stability before and after the failure of the transmission channel respectively. limit.

步骤S12:分别根据所述输电通道故障前和故障后的静态功角稳定极限得到所述输电通道故障前和故障后的输电通道或断面的最大输送功率,将分别得到的所述输电通道故障前和故障后的输电通道或断面的最大输送功率作为故障前和故障后的静稳极限功率。Step S12: Obtain the maximum transmission power of the transmission channel or section of the transmission channel before and after the failure according to the static power angle stability limits of the transmission channel before the failure and after the failure, respectively. and the maximum transmission power of the transmission channel or section after the fault as the static and stable limit power before and after the fault.

其中,对于静态功角稳定计算方法一般有两种,分别是特征根判别法和静态功角稳定实用算法。Among them, there are generally two methods for calculating the static power angle stability, which are the characteristic root discrimination method and the static power angle stability practical algorithm.

特征根判别法的一般过程为:计算给定运行方式下潮流分布和状态量的稳态值;对描述暂态过程的方程式,在稳态值附近线性化,形成特征矩阵,并根据其特征值的性质判断系统的静态稳定性。如果没有正实数特征根,则判定静态功角稳定。The general process of the characteristic root discriminant method is: calculate the steady state value of the power flow distribution and state quantity under a given operation mode; linearize the equation describing the transient process near the steady state value to form a characteristic matrix, and according to its characteristic value to judge the static stability of the system. If there is no positive real eigenvalue, the static power angle is determined to be stable.

静态功角稳定实用算法是采用稳定计算程序,逐步增加所述送端机组10的功率,并相应地减少受端机组20功率,直至系统发生非周期性失真,此时对应的功角则为静态功角的稳定极限。即静态功角稳定极限,同时,根据静态功角稳定极限得到输电通道或断面的最大输送功率,该功率则作为静稳极限功率。The practical algorithm for static power angle stabilization is to use a stable calculation program to gradually increase the power of the sending-end unit 10 and correspondingly reduce the power of the receiving-end unit 20 until aperiodic distortion occurs in the system. At this time, the corresponding power angle is static. The stability limit of the power angle. That is, the static power angle stability limit. At the same time, the maximum transmission power of the transmission channel or section is obtained according to the static power angle stability limit, and this power is regarded as the static stability limit power.

可选的,在静稳极限功率的计算过程中,本公开选用静态功角稳定实用算法,以求得的静稳极限功率作为判断电力系统100稳定性的有效评价指标。Optionally, in the calculation process of the static stability limit power, the present disclosure selects a static power angle stability practical algorithm, and uses the obtained static stability limit power as an effective evaluation index for judging the stability of the power system 100 .

静稳极限功率-表征了交流断面(通道)的最大传输能力。Static Stability Limit Power - Characterizes the maximum transmission capability of an AC cross-section (channel).

Figure BDA0001887481520000101
Figure BDA0001887481520000101

其中,Pmax为静稳极限功率,Eq为发电机11的内电势,U为无穷大节点电压,δ为发电机11的转子角度,Xd为发电机11同步电抗、通道线路等值电抗以及变压器等值电抗之和。Among them, P max is the static and stable limit power, E q is the internal potential of the generator 11, U is the infinite node voltage, δ is the rotor angle of the generator 11, X d is the generator 11 synchronous reactance, channel line equivalent reactance and The sum of the equivalent reactances of the transformers.

在计算过程中,应尽量保证系统的频率和电压在正常范围内,因此,要考虑送端机组10和受端机组20中的调速系统和励磁系统,保证增减功率基本平衡。同时应注意功率的增减方案要符合实际的功率流向,不同的方案可能得到不同的静态稳定极限。因为在多机系统中,从正常运行方式过渡到稳定极限运行情况,可能出现不同的过渡方案,而不同的运行方案就可能得出不同的稳定极限,各区域内发电或负荷的调整方式不同可能造成所得到的联络线静态稳定功率极限有可能相差10%-20%左右。增出力的机组位于联络线近端的时候,由于电压无功支撑的提高可能会使得静稳极限提高;当增出力的机组位于联络线远端的时候,因为功率要经过远距离的传输所以会造成沿线电压的降低,从而使得静稳极限降低。同理,减出力机组位于联络线近端或远端的时候,也会对静稳极限造成同样的影响。In the calculation process, the frequency and voltage of the system should be kept within the normal range as far as possible. Therefore, the speed regulation system and excitation system in the sending-end unit 10 and the receiving-end unit 20 should be considered to ensure the basic balance of increase and decrease power. At the same time, it should be noted that the increase or decrease scheme of power should conform to the actual power flow, and different schemes may obtain different static stability limits. Because in a multi-machine system, from the normal operation mode to the stable limit operation, different transition schemes may appear, and different operation schemes may lead to different stability limits, and the adjustment methods of power generation or load in each area may be different. As a result, the static stable power limit of the obtained tie line may differ by about 10%-20%. When the unit with increased output is located at the near end of the tie line, the static stability limit may be increased due to the increase of the voltage and reactive power support; when the unit with increased output is located at the far end of the tie line, because the power has to be transmitted over a long distance, it will Causes the reduction of the voltage along the line, thereby reducing the static stability limit. Similarly, when the power reducing unit is located at the near or far end of the tie line, it will also have the same impact on the static stability limit.

在根据得到静态功角稳定实用算法,获取得到故障前和故障后的静态功角稳定极限以及静稳极限功率后,进入步骤S20。After obtaining the static power angle stability limit and static stability limit power before and after the fault according to the obtained static power angle stability practical algorithm, step S20 is entered.

步骤S20:根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机11切除故障时的功角。Step S20: Calculate the power angle of the generator 11 when the fault is removed according to the static and stable limit power of the power transmission channel before and after the fault.

其中,根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机11切除故障时的功角可以通过流程1和流程2得到。The calculation of the power angle when the generator 11 removes the fault according to the static and stable limit power of the power transmission channel before and after the fault can be obtained through the process 1 and the process 2.

流程1:根据所述输电通道故障前和故障后的静稳极限功率通过以下公式计算得到所述发电机11的初始功角δ0Process 1: Calculate the initial power angle δ 0 of the generator 11 by the following formula according to the static and stable limit power of the transmission channel before and after the fault:

Figure BDA0001887481520000111
Figure BDA0001887481520000111

流程2:根据所述发电机11的初始功角δ0、发电机11额定有功功率以及转动惯量通过以下公式计算得到所述发电机11切除故障时的功角δcProcess 2: According to the initial power angle δ 0 of the generator 11 , the rated active power of the generator 11 and the moment of inertia, the power angle δ c of the generator 11 when the fault is removed is calculated by the following formula:

Figure BDA0001887481520000112
Figure BDA0001887481520000112

其中,PImax为故障前的静稳极限功率,PIImax为故障后的静稳极限功率,Pn为发电机11额定有功功率,PT为同初始潮流下原动机的机械功率,ω0为初始发电机11转速,Tj为转动惯量,在计算过程中,

Figure BDA0001887481520000113
t为故障时间。Among them, P Imax is the static stability limit power before the fault, P IImax is the static stability limit power after the fault, P n is the rated active power of the generator 11, P T is the mechanical power of the prime mover under the same initial power flow, ω 0 is Initial generator 11 speed, T j is the moment of inertia, in the calculation process,
Figure BDA0001887481520000113
t is the failure time.

在得到所述发电机11切除故障时的功角后进入步骤S30。Step S30 is entered after the power angle of the generator 11 when the fault is removed is obtained.

步骤S30:根据所述发电机11切除故障时的功角计算系数K。Step S30: Calculate the coefficient K according to the power angle of the generator 11 when the fault is removed.

其中,根据所述发电机11切除故障时的功角,通过以下公式计算得到所述系数K:Wherein, according to the power angle of the generator 11 when the fault is removed, the coefficient K is calculated by the following formula:

Figure BDA0001887481520000114
Figure BDA0001887481520000114

其中,δc为切除故障时的功角,π-δst为达到极限时功角,即故障后的静态功角稳定极限,δ0为发电机11的初始功角。Among them, δ c is the power angle when the fault is removed, π-δst is the power angle when the limit is reached, that is, the static power angle stability limit after the fault, and δ 0 is the initial power angle of the generator 11 .

在得到所述系数K后,进入步骤S40。After the coefficient K is obtained, go to step S40.

步骤S40:根据所述输电通道故障后的静稳极限功率以及所述系数K计算暂稳极限功率。Step S40: Calculate the temporary stability limit power according to the static stability limit power after the failure of the power transmission channel and the coefficient K.

其中,暂态稳定是电力系统100受到大扰动后,各同步电机保持同步运行并过渡到新的或恢复到原来稳态运行方式的能力。暂态稳定计算分析的目的是在规定的运行方式和故障形态下,对系统的暂态稳定性进行校验,研究保证电网安全稳定的控制策略,并对继电保护和自动装置以及各种安全稳定措施提出相应的要求。电力系统100在正常运行时,受到一个大的扰动后,能从原来的运行状态(平衡点)过渡到新的运行状态,并在新的运行状态下稳定地运行。若功角经过振荡后能稳定在某一个数值,表明发电机11之间重新恢复了同步运行,系统具有暂态稳定性,反之功角若不断增大,则表明系统失去了暂态平衡。因此,用受大扰动后功角随时间变化特性作为暂态稳定判据。Among them, transient stability is the ability of each synchronous motor to maintain synchronous operation and transition to a new or return to the original steady-state operation mode after the power system 100 is subjected to a large disturbance. The purpose of transient stability calculation and analysis is to verify the transient stability of the system under the specified operation mode and fault state, to study the control strategy to ensure the safety and stability of the power grid, and to provide protection for relay protection and automatic devices as well as various security systems. Stabilization measures put forward corresponding requirements. During normal operation, the power system 100 can transition from the original operating state (balance point) to a new operating state after being subjected to a large disturbance, and operate stably in the new operating state. If the power angle can be stabilized at a certain value after oscillation, it indicates that the synchronous operation between the generators 11 has resumed, and the system has transient stability. Therefore, the time-varying characteristics of the power angle after a large disturbance is used as the transient stability criterion.

在本公开中,所述暂稳极限功率通过以下公式计算得到:In the present disclosure, the temporary stability limit power is calculated by the following formula:

Pst=K×PIImaxP st =K×P IImax ;

其中,Pst为暂稳极限功率,PIImax为故障后的静稳极限功率。在本公开中,在得到系数K的值后,就可以根据故障后的静稳极限功率和系数K,快速的估算出暂稳极限功率,极大的提高了计算效率。Among them, P st is the transient stability limit power, and P IImax is the static stability limit power after the fault. In the present disclosure, after the value of the coefficient K is obtained, the temporary stability limit power can be quickly estimated according to the static stability limit power after the fault and the coefficient K, which greatly improves the calculation efficiency.

进一步的,请结合参阅图4,图4为本公开构建的单机无穷大系统的功角特性曲线,所述系数K通过流程3至流程5得到。Further, please refer to FIG. 4 . FIG. 4 is a power angle characteristic curve of a single-machine infinite system constructed by the present disclosure, and the coefficient K is obtained through process 3 to process 5 .

流程3:计算短路发生至故障切除时刻,机组加速面积。Process 3: Calculate the acceleration area of the unit when the short circuit occurs to the moment when the fault is removed.

其中,所述机组为送端机组10,所述机组加速面积通过以下公式计算得到:Wherein, the unit is the sending end unit 10, and the acceleration area of the unit is calculated by the following formula:

S=(δC0)×PT=(δC0)×PIImax×sinδstS plus =(δ C −δ 0 )×P T =(δ C −δ 0 )×P IImax ×sinδ st ;

其中,δ0为正常运行时发电机11的初始功角,δc为发电机11切除故障时的功角,π-δst为达到极限时功角,PIImax为故障后的静稳极限功率,PT表示同初始潮流下原动机的机械功率。Among them, δ 0 is the initial power angle of the generator 11 during normal operation, δ c is the power angle of the generator 11 when the fault is removed, π-δst is the power angle when the limit is reached, P IImax is the static stability limit power after the fault, P T represents the mechanical power of the prime mover under the same initial power flow.

流程4:计算故障切除时刻至极限切除角时刻,机组减速面积。Process 4: Calculate the deceleration area of the unit from the time of fault removal to the time of limit removal angle.

其中,进一步的,所述机组减速面积通过以下公式计算得到:Wherein, further, the deceleration area of the unit is calculated by the following formula:

Figure BDA0001887481520000131
Figure BDA0001887481520000131

其中,δc为切除故障时功角,π-δst为达到极限时功角,PIImax为故障后的静稳极限功率,PT表示同初始潮流下原动机的机械功率,PE为电磁功率。Among them, δ c is the power angle when the fault is removed, π-δst is the power angle when the limit is reached, P IImax is the static and stable limit power after the fault, P T is the mechanical power of the prime mover under the same initial power flow, and P E is the electromagnetic power. .

流程5:基于等面积原则,所述机组加速面积等于所述机组减速面积,得到所述系数K。Process 5: Based on the principle of equal area, the acceleration area of the unit is equal to the deceleration area of the unit, and the coefficient K is obtained.

其中,定义ΔE=减速能量-加速能量=减速面积-加速面积,计算得到:Among them, the definition ΔE = deceleration energy - acceleration energy = deceleration area - acceleration area, the calculation can be obtained:

ΔE=S-S=PIImax×(cosδst+cosδC)-PIImax×sinδst×(π-δstC)-(δC0)×PIImax×sinδstΔE=S minus -S plus =P IImax ×(cosδ st +cosδ C )-P IImax ×sinδ st ×(π-δ st −δ C )-(δ C −δ 0 )×P IImax ×sinδ st ;

化简得:Simplified to:

ΔE=PIImax×(cosδst+cosδC)-PIImax×sinδst×(π-δst0);ΔE=P IImax ×(cosδ st +cosδ C )-P IImax ×sinδ st ×(π-δ st0 );

基于等面积原则,所述机组加速面积等于所述机组减速面积,得到ΔE=0,计算得到:Based on the principle of equal area, the acceleration area of the unit is equal to the deceleration area of the unit, and ΔE=0 is obtained, and the calculation is as follows:

Figure BDA0001887481520000141
Figure BDA0001887481520000141

引入系数K,令K=sinδst,得到:Introduce the coefficient K, let K=sinδ st , get:

Figure BDA0001887481520000142
Figure BDA0001887481520000142

其中,δc为切除故障时功角,π-δst为达到极限时功角,PIImax为故障后的静稳极限功率,δ0为正常运行时发电机11的初始功角。Among them, δ c is the power angle when the fault is removed, π-δ st is the power angle when the limit is reached, P IImax is the static and stable limit power after the fault, and δ 0 is the initial power angle of the generator 11 during normal operation.

在由上述过程推导得到系数K后,在后续输电通道发生故障,对输电通道暂稳极限功率进行计算的时候,只需要通过一次仿真计算,得到故障前后的静稳极限功率以及系数K,就可以根据故障后的静稳极限功率和系数K,快速的估算出暂稳极限功率,极大的提高了计算效率。After the coefficient K is derived from the above process, when the subsequent transmission channel fails and the temporary stability limit power of the transmission channel is calculated, it is only necessary to obtain the static stability limit power and coefficient K before and after the failure through one simulation calculation, and then According to the static stability limit power and coefficient K after the fault, the temporary stability limit power is quickly estimated, which greatly improves the calculation efficiency.

下面以具体实施例对本公开所提供的输电通道暂稳极限的估算方法进行验证。其具体过程如下。The method for estimating the temporary stability limit of a power transmission channel provided by the present disclosure will be verified below with specific examples. The specific process is as follows.

(1)采用PSD-BPA机电暂态仿真软件,构建单机无穷大系统,计算输电通道故障前后的静稳极限,请结合参阅图5,图5为正常方式下输电通道的静稳曲线,在正常方式下,静稳极限PImax=1651MW,设置线路XL首端三永N-1故障,请结合参阅图6,图6为故障后的输电通道的静稳曲线,故障后的静稳极限为PIImax=1268MW。(1) Use PSD-BPA electromechanical transient simulation software to build a single-machine infinite system, and calculate the static stability limit of the transmission channel before and after the fault. Please refer to Figure 5. Figure 5 is the static stability curve of the transmission channel in the normal mode. The static stability limit P Imax = 1651MW, set the line XL head end Sanyong N-1 fault, please refer to Figure 6, Figure 6 is the static stability curve of the transmission channel after the fault, the static stability limit after the fault is P IImax =1268MW.

(2)确定发电机11额定有功功率、切除故障时的功角以及转动惯量等指标。请结合参阅图7,图7为故障后机组功角曲线,其中发电机11额定有功Pn=1000MW,发电机11惯性时间常数Tj=10s,发电机11切除故障时的功角δ0=39°(2) Determine the rated active power of the generator 11, the power angle when the fault is removed, and the moment of inertia. Please refer to FIG. 7. FIG. 7 is the power angle curve of the unit after the fault, wherein the rated active power of the generator 11 is P n =1000MW, the inertia time constant of the generator 11 is T j =10s, and the power angle of the generator 11 when the fault is removed δ 0 = 39°

(3)计算实际暂态稳定极限功率,即暂稳极限功率。请结合参阅图8和图9,图8为暂态稳定后机组的功角曲线,图9为暂态稳定后输电通道的有功功率曲线。采用PSD-BPA计算得到XL三永N-1故障下暂稳极限功率为1046MW。(3) Calculate the actual transient stability limit power, that is, the transient stability limit power. Please refer to Fig. 8 and Fig. 9 together, Fig. 8 is the power angle curve of the unit after transient stabilization, and Fig. 9 is the active power curve of the transmission channel after transient stabilization. Calculated by PSD-BPA, the temporary stable limit power under XL Sanyong N-1 fault is 1046MW.

(4)采用本公开提供的输电通道暂稳极限的估算方法估算暂稳极限功率。其中,发电机11额定有功功率Pn=1000MW,发电机11惯性时间常数Tj=10s,发电机11切除故障时的功角δ0=39°。正常方式下静稳极限功率PImax=1651MW,设置线路XL首端三永N-1故障,故障后的静稳极限功率PIImax=1268MW。由

Figure BDA0001887481520000151
计算得到K系数=0.826,由Pst=K×PIImax快速估算暂稳极限功率Pst=1047MW。(4) The temporary stability limit power is estimated by using the estimation method of the transmission channel temporary stability limit provided by the present disclosure. The rated active power of the generator 11 is P n =1000MW, the inertia time constant of the generator 11 is T j =10s, and the power angle δ 0 =39° when the generator 11 removes the fault. In the normal mode, the static stability limit power P Imax = 1651MW, set the line XL head end Sanyong N-1 fault, the static stability limit power P IImax = 1268MW after the fault. Depend on
Figure BDA0001887481520000151
The K coefficient is calculated to be 0.826, and the temporary stability limit power P st =1047MW is quickly estimated by P st =K×P IImax .

(5)将采用PSD-BPA计算得到XL三永N-1故障下暂稳极限功率与本公开提供的输电通道暂稳极限的估算方法估算得到的暂稳极限功率进行对比。采用PSD-BPA仿真计算XL三永N-1故障下暂稳极限功率为Pst=1046MW,本公开估算得到暂稳极限功率Pst=1047MW,故计算误差为0.09%。(5) Compare the transient stability limit power under XL Sanyong N-1 fault calculated by PSD-BPA with the transient stability limit power estimated by the transmission channel transient stability limit estimation method provided in the present disclosure. Using PSD-BPA simulation to calculate the temporary stability limit power under XL Sanyong N-1 fault is P st =1046MW, the present disclosure estimates and obtains the temporary stability limit power P st =1047MW, so the calculation error is 0.09%.

并且,采用PSD-BPA机电暂态仿真软件,计算托克托电厂外送暂稳极限功率,对本公开所提供的输电通道暂稳极限的估算方法的正确性进行验证。托克托机组额定有功Pn=4800MW,惯性时间常数Tj=9.26s,发电机11切除故障时的功角δ0=48°。正常方式下,静稳极限功率为PImax=6780MW,设置托克托~浑源线路托克托侧三永N-1故障,故障后的静稳极限功率PIImax=6185MW。计算K系数=0.82,快速估算得到暂稳极限功率Pst=5071MW。采用PSD-BPA计算得到XL三永N-1故障下暂稳极限功率为5312MW,故计算误差为4.5%。In addition, the PSD-BPA electromechanical transient simulation software is used to calculate the temporary stability limit power sent by the Toketuo Power Plant, and the correctness of the estimation method of the transmission channel temporary stability limit provided by the present disclosure is verified. The rated active power of the Tuoketuo unit is P n =4800MW, the inertia time constant T j =9.26s, and the power angle δ 0 =48° when the generator 11 removes the fault. In the normal mode, the static and stable limit power is P Imax = 6780MW, and the Sanyong N-1 fault on the Tuoketuo side of the Toketo-Hunyuan line is set, and the static and stable limit power after the fault is P IImax = 6185MW. Calculated K coefficient = 0.82, and obtained the temporary stability limit power P st = 5071MW by quick estimation. Calculated by PSD-BPA, the temporary stable limit power under XL Sanyong N-1 fault is 5312MW, so the calculation error is 4.5%.

因此,采用本公开提供的输电通道暂稳极限的估算方法对暂稳极限功率进行估算,误差保持在5%以内,精度上满足工程应用的要求,可以作为工程技术人员实际应用的预估值,运用于实际工程中。Therefore, using the estimation method for the temporary stability limit of the transmission channel provided by the present disclosure to estimate the temporary stability limit power, the error is kept within 5%, and the accuracy meets the requirements of engineering applications, which can be used as the estimated value for practical application by engineers and technicians. used in practical engineering.

进一步的,请结合参阅图10,本公开提供一种输电通道暂稳极限的估算装置30,应用于电力系统100,所述电力系统100包括发电机11和输电通道,所述估算装置30包括处理模块31以及计算模块32,所述处理模块31用于获取所述输电通道故障前和故障后的静稳极限功率。Further, please refer to FIG. 10 , the present disclosure provides an estimation device 30 for the temporary stability limit of a power transmission channel, which is applied to a power system 100 . The power system 100 includes a generator 11 and a power transmission channel, and the estimation device 30 includes a processing The module 31 and the calculation module 32, the processing module 31 is used to obtain the static and stable limit power of the power transmission channel before and after the fault.

所述计算模块32用于根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机11切除故障时的功角,根据所述发电机11切除故障时的功角计算系数K;并根据所述发电机11故障后的静稳极限功率以及所述系数K计算暂稳极限功率。The calculation module 32 is used to calculate the power angle of the generator 11 when the fault is removed according to the static and stable limit power of the transmission channel before and after the fault, and to calculate the coefficient K according to the power angle of the generator 11 when the fault is removed. ; and calculate the temporary stability limit power according to the static stability limit power after the generator 11 fails and the coefficient K.

所属领域的技术人员可以清楚地了解到,为描述的方便和简洁,上述描述的输电通道暂稳极限的估算装置30的具体工作过程,可以参照前述方法中的对应过程,在此不再过多的赘述。Those skilled in the art can clearly understand that, for the convenience and brevity of the description, the specific working process of the device 30 for estimating the temporary stability limit of the power transmission channel described above can be referred to the corresponding process in the aforementioned method, which is not repeated here. of elaboration.

综上,本公开提供的输电通道暂稳极限的估算方法及装置,应用于电力系统,所述电力系统包括发电机和输电通道,通过获取输电通道故障前和故障后的静稳极限功率,并根据输电通道故障前和故障后的静稳极限功率计算得到发电机切除故障时的功角,在得到发电机切除故障时的功角后,根据发电机切除故障时的功角计算得到系数K,在得到系数K后,根据输电通道故障后的静稳极限功率以及系数K计算得到输电通道的暂稳极限功率,只需通过一次仿真便能很快计算得到在运行方式变化后的暂态稳定极限功率,无需对电压无功进行反复调节,极大提高了计算效率,且本公开提供的输电通道暂稳极限的估算方法及装置具有与时域仿真法相同的模型适用性以及直接法所具有的稳定裕度量化性,精度较高且操作便捷。To sum up, the method and device for estimating the transient stability limit of a transmission channel provided by the present disclosure are applied to a power system including a generator and a transmission channel. According to the static and stable limit power of the transmission channel before and after the fault, the power angle of the generator when the fault is removed is obtained. After the power angle of the generator when the fault is removed, the coefficient K is calculated according to the power angle of the generator when the fault is removed. After the coefficient K is obtained, the transient stability limit power of the transmission channel can be calculated according to the static stability limit power after the transmission channel fault and the coefficient K, and the transient stability limit after the operation mode change can be quickly calculated by only one simulation. power, no need to repeatedly adjust the voltage and reactive power, which greatly improves the calculation efficiency, and the method and device for estimating the temporary stability limit of the transmission channel provided by the present disclosure have the same model applicability as the time domain simulation method and the direct method. Stability margin quantification, high precision and convenient operation.

除此之外,通过本公开提供的输电通道暂稳极限的估算方法及装置估算得到的暂稳极限功率误差保持在5%以内,精度上满足工程应用的要求,可以作为工程技术人员实际应用的预估值,运用于实际工程中。In addition, the error of the temporary stability limit power estimated by the method and device for estimating the temporary stability limit of the transmission channel provided by the present disclosure is kept within 5%, and the accuracy meets the requirements of engineering applications, which can be used as practical applications by engineers and technicians. The estimated value is used in practical engineering.

在本公开所提供的几个实施例中,应该理解到,所揭露的装置和方法,也可以通过其它的方式实现。以上所描述的装置和方法实施例仅仅是示意性的,例如,附图中的流程图和框图显示了根据本公开的多个实施例的装置、方法和计算机程序产品的可能实现的体系架构、功能和操作。在这点上,流程图或框图中的每个方框可以代表一个模块、程序段或代码的一部分,所述模块、程序段或代码的一部分包含一个或多个用于实现规定的逻辑功能的可执行指令。也应当注意,在有些作为替换的实现方式中,方框中所标注的功能也可以以不同于附图中所标注的顺序发生。例如,两个连续的方框实际上可以基本并行地执行,它们有时也可以按相反的顺序执行,这依所涉及的功能而定。也要注意的是,框图和/或流程图中的每个方框、以及框图和/或流程图中的方框的组合,可以用执行规定的功能或动作的专用的基于硬件的系统来实现,或者可以用专用硬件与计算机指令的组合来实现。In the several embodiments provided in the present disclosure, it should be understood that the disclosed apparatus and method may also be implemented in other manners. The apparatus and method embodiments described above are merely illustrative, for example, the flowcharts and block diagrams in the accompanying drawings illustrate the architecture, possible implementations of apparatus, methods and computer program products according to various embodiments of the present disclosure, function and operation. In this regard, each block in the flowchart or block diagrams may represent a module, segment, or portion of code that contains one or more functions for implementing the specified logical function(s) executable instructions. It should also be noted that, in some alternative implementations, the functions noted in the block may occur out of the order noted in the figures. For example, two blocks in succession may, in fact, be executed substantially concurrently, or the blocks may sometimes be executed in the reverse order, depending upon the functionality involved. It is also noted that each block of the block diagrams and/or flowchart illustrations, and combinations of blocks in the block diagrams and/or flowchart illustrations, can be implemented in dedicated hardware-based systems that perform the specified functions or actions , or can be implemented in a combination of dedicated hardware and computer instructions.

另外,在本公开各个实施例中的各功能模块可以集成在一起形成一个独立的部分,也可以是各个模块单独存在,也可以两个或两个以上模块集成形成一个独立的部分。In addition, each functional module in each embodiment of the present disclosure may be integrated together to form an independent part, or each module may exist alone, or two or more modules may be integrated to form an independent part.

所述功能如果以软件功能模块的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本公开的技术方案本质上或者说对现有技术做出贡献的部分或者该技术方案的部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质中,包括若干指令用以使得一台计算机设备(可以是个人计算机,电子设备,或者网络设备等)执行本公开各个实施例所述方法的全部或部分步骤。而前述的存储介质包括:U盘、移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。需要说明的是,在本文中,术语“包括”、“包含”或者其任何其他变体意在涵盖非排他性的包含,从而使得包括一系列要素的过程、方法、物品或者设备不仅包括那些要素,而且还包括没有明确列出的其他要素,或者是还包括为这种过程、方法、物品或者设备所固有的要素。在没有更多限制的情况下,由语句“包括一个……”限定的要素,并不排除在包括所述要素的过程、方法、物品或者设备中还存在另外的相同要素。If the functions are implemented in the form of software function modules and sold or used as independent products, they can be stored in a computer-readable storage medium. Based on such understanding, the technical solutions of the present disclosure can be embodied in the form of software products in essence, or the parts that contribute to the prior art or the parts of the technical solutions. The computer software products are stored in a storage medium, including Several instructions are used to cause a computer device (which may be a personal computer, an electronic device, or a network device, etc.) to execute all or part of the steps of the methods described in various embodiments of the present disclosure. The aforementioned storage medium includes: U disk, mobile hard disk, Read-Only Memory (ROM, Read-Only Memory), Random Access Memory (RAM, Random Access Memory), magnetic disk or optical disk and other media that can store program codes . It should be noted that, herein, the terms "comprising", "comprising" or any other variation thereof are intended to encompass non-exclusive inclusion, such that a process, method, article or device comprising a series of elements includes not only those elements, It also includes other elements not expressly listed or inherent to such a process, method, article or apparatus. Without further limitation, an element qualified by the phrase "comprising a..." does not preclude the presence of additional identical elements in a process, method, article or apparatus that includes the element.

以上所述仅为本公开的可选实施例而已,并不用于限制本公开,对于本领域的技术人员来说,本公开可以有各种更改和变化。凡在本公开的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本公开的保护范围之内。The above descriptions are only optional embodiments of the present disclosure, and are not intended to limit the present disclosure. For those skilled in the art, the present disclosure may have various modifications and changes. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present disclosure shall be included within the protection scope of the present disclosure.

Claims (8)

1.一种输电通道暂稳极限的估算方法,其特征在于,应用于电力系统,所述电力系统包括发电机和输电通道,所述方法包括:1. A method for estimating the temporary stability limit of a power transmission channel, characterized in that, applied to a power system, the power system comprising a generator and a power transmission channel, the method comprising: 获取所述输电通道故障前和故障后的静稳极限功率;Obtain the static and stable limit power of the transmission channel before and after the fault; 根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机切除故障时的功角;Calculate the power angle of the generator when the fault is removed according to the static and stable limit power of the power transmission channel before and after the fault; 根据所述发电机切除故障时的功角计算系数K;Calculate the coefficient K according to the power angle of the generator when the fault is removed; 根据所述输电通道故障后的静稳极限功率以及所述系数K计算暂稳极限功率;Calculate the temporary stability limit power according to the static stability limit power after the failure of the transmission channel and the coefficient K; 根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机切除故障时的功角的步骤包括:The step of calculating the power angle of the generator when the fault is removed according to the static and stable limit power of the transmission channel before and after the fault includes: 根据所述输电通道故障前和故障后的静稳极限功率通过以下公式计算得到所述发电机的初始功角δ0According to the static and stable limit power of the transmission channel before and after the fault, the initial power angle δ 0 of the generator is calculated by the following formula:
Figure FDA0002419756090000011
Figure FDA0002419756090000011
根据所述发电机的初始功角δ0、发电机额定有功功率以及转动惯量通过以下公式计算得到所述发电机切除故障时的功角δcAccording to the initial power angle δ 0 of the generator, the rated active power of the generator and the moment of inertia, the power angle δ c of the generator when the fault is removed is calculated by the following formula:
Figure FDA0002419756090000012
Figure FDA0002419756090000012
其中,PImax为故障前的静稳极限功率,PIImax为故障后的静稳极限功率,Pn为发电机额定有功功率,PT为同初始潮流下原动机的机械功率,ω0为初始发电机转速,Tj为转动惯量,t为故障时间,在计算过程中,
Figure FDA0002419756090000013
δst为达到极限时功角的补角;
Among them, P Imax is the static stability limit power before the fault, P IImax is the static stability limit power after the fault, P n is the rated active power of the generator, P T is the mechanical power of the prime mover under the same initial power flow, ω 0 is the initial generator speed, T j is the moment of inertia, t is the fault time, in the calculation process,
Figure FDA0002419756090000013
δst is the supplementary angle of the power angle when the limit is reached;
根据所述发电机切除故障时的功角,通过以下公式计算得到所述系数K:According to the power angle of the generator when the fault is removed, the coefficient K is calculated by the following formula:
Figure FDA0002419756090000021
Figure FDA0002419756090000021
其中,δc为切除故障时的功角,π-δst为达到极限时功角,即故障后的静态功角稳定极限,δ0为发电机的初始功角。Among them, δ c is the power angle when the fault is removed, π-δst is the power angle when the limit is reached, that is, the static power angle stability limit after the fault, and δ 0 is the initial power angle of the generator.
2.根据权利要求1所述的输电通道暂稳极限的估算方法,其特征在于,所述电力系统还包括送端机组和受端机组,所述送端机组和受端机组通过所述输电通道连接,获取所述输电通道故障前和故障后的静稳极限功率的步骤包括:2 . The method for estimating the temporary stability limit of a transmission channel according to claim 1 , wherein the power system further comprises a sending-end unit and a receiving-end unit, and the sending-end unit and the receiving-end unit pass through the transmission channel. 3 . The steps of obtaining the static and stable limit power of the transmission channel before and after the fault include: 根据静态功角稳定实用算法,逐步增加所述送端机组的功率,并相应地减少受端机组功率,以分别计算得到所述输电通道故障前和故障后的静态功角稳定极限;According to the static power angle stabilization practical algorithm, gradually increase the power of the sending-end unit, and correspondingly reduce the power of the receiving-end unit, so as to calculate the static power angle stability limit of the transmission channel before and after the fault respectively; 分别根据所述输电通道故障前和故障后的静态功角稳定极限得到所述输电通道故障前和故障后的输电通道或断面的最大输送功率,将分别得到的所述输电通道故障前和故障后的输电通道或断面的最大输送功率作为故障前和故障后的静稳极限功率。Obtain the maximum transmission power of the transmission channel or section of the transmission channel before and after the fault according to the static power angle stability limits of the transmission channel before and after the fault, respectively, and use the obtained pre-fault and post-fault of the transmission channel respectively. The maximum transmission power of the transmission channel or section is taken as the static and stable limit power before and after the fault. 3.根据权利要求1所述的输电通道暂稳极限的估算方法,其特征在于,所述系数K通过以下步骤得到:3. The method for estimating the temporary stability limit of a power transmission channel according to claim 1, wherein the coefficient K is obtained by the following steps: 计算短路发生至故障切除时刻,机组加速面积;Calculate the acceleration area of the unit when the short circuit occurs to the time when the fault is removed; 计算故障切除时刻至极限切除角时刻,机组减速面积;Calculate the deceleration area of the unit from the moment of fault removal to the moment of limit removal angle; 基于等面积原则,所述机组加速面积等于所述机组减速面积,得到所述系数K。Based on the principle of equal area, the acceleration area of the unit is equal to the deceleration area of the unit, and the coefficient K is obtained. 4.根据权利要求3所述的输电通道暂稳极限的估算方法,其特征在于,所述机组加速面积通过以下公式计算得到:4. The method for estimating the temporary stability limit of a power transmission channel according to claim 3, wherein the acceleration area of the unit is calculated by the following formula: S=(δC0)×PT=(δC0)×PIImax×sinδstS plus =(δ C −δ 0 )×P T =(δ C −δ 0 )×P IImax ×sinδ st ; 其中,δ0为正常运行时发电机的初始功角,δc为发电机切除故障时的功角,δst为达到极限时功角的补角,PIImax为故障后的静稳极限功率,PT表示同初始潮流下原动机的机械功率。Among them, δ 0 is the initial power angle of the generator during normal operation, δ c is the power angle of the generator when the fault is removed, δ st is the supplementary angle of the power angle when the limit is reached, P IImax is the static stability limit power after the fault, P T represents the mechanical power of the prime mover under the same initial power flow. 5.根据权利要求4所述的输电通道暂稳极限的估算方法,其特征在于,所述机组减速面积通过以下公式计算得到:5. The method for estimating the temporary stability limit of a power transmission channel according to claim 4, wherein the unit deceleration area is calculated by the following formula:
Figure FDA0002419756090000031
Figure FDA0002419756090000031
其中,δc为切除故障时功角,π-δst为达到极限时功角,PIImax为故障后的静稳极限功率,PT表示同初始潮流下原动机的机械功率,PE为电磁功率。Among them, δ c is the power angle when the fault is removed, π-δst is the power angle when the limit is reached, P IImax is the static and stable limit power after the fault, P T is the mechanical power of the prime mover under the same initial power flow, and P E is the electromagnetic power. .
6.根据权利要求5所述的输电通道暂稳极限的估算方法,其特征在于,基于等面积原则,所述机组加速面积等于所述机组减速面积,得到系数K的步骤包括:6. The method for estimating the temporary stability limit of a power transmission channel according to claim 5, wherein, based on the principle of equal area, the acceleration area of the unit is equal to the deceleration area of the unit, and the step of obtaining the coefficient K comprises: 定义ΔE=减速能量-加速能量=减速面积-加速面积,计算得到:Definition ΔE = deceleration energy - acceleration energy = deceleration area - acceleration area, the calculation can be obtained: ΔE=S-S=PIImax×(cosδst+cosδC)-PIImax×sinδst×(π-δstC)-(δC0)×PIImax×sinδstΔE=S minus -S plus =P IImax ×(cosδ st +cosδ C )-P IImax ×sinδ st ×(π-δ st −δ C )-(δ C −δ 0 )×P IImax ×sinδ st ; 化简得:Simplified to: ΔE=PIImax×(cosδst+cosδC)-PIImax×sinδst×(π-δst0);ΔE=P IImax ×(cosδ st +cosδ C )-P IImax ×sinδ st ×(π-δ st0 ); 基于等面积原则,所述机组加速面积等于所述机组减速面积,得到ΔE=0,计算得到:Based on the principle of equal area, the acceleration area of the unit is equal to the deceleration area of the unit, and ΔE=0 is obtained, and the calculation is as follows:
Figure FDA0002419756090000041
Figure FDA0002419756090000041
引入系数K,令K=sinδst,得到:Introduce the coefficient K, let K=sinδ st , get:
Figure FDA0002419756090000042
Figure FDA0002419756090000042
其中,δc为切除故障时功角,π-δst为达到极限时功角,PIImax为故障后的静稳极限功率,δ0为正常运行时发电机的初始功角。Among them, δ c is the power angle when the fault is removed, π-δst is the power angle when the limit is reached, P IImax is the static and stable limit power after the fault, and δ 0 is the initial power angle of the generator during normal operation.
7.根据权利要求6所述的输电通道暂稳极限的估算方法,其特征在于,所述暂稳极限功率通过以下公式计算得到:7. The method for estimating the temporary stability limit of a power transmission channel according to claim 6, wherein the temporary stability limit power is calculated by the following formula: Pst=K×PIImaxP st =K×P IImax ; 其中,Pst为暂稳极限功率,PIImax为故障后的静稳极限功率。Among them, P st is the transient stability limit power, and P IImax is the static stability limit power after the fault. 8.一种输电通道暂稳极限的估算装置,其特征在于,应用于电力系统,所述电力系统包括发电机和输电通道,所述估算装置包括处理模块以及计算模块,所述处理模块用于获取所述输电通道故障前和故障后的静稳极限功率;8. An estimation device for the temporary stability limit of a power transmission channel, characterized in that it is applied to a power system, the power system includes a generator and a power transmission channel, the estimation device includes a processing module and a calculation module, the processing module is used for Obtain the static and stable limit power of the transmission channel before and after the fault; 所述计算模块用于根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机切除故障时的功角,根据所述发电机切除故障时的功角计算系数K;并根据所述发电机故障后的静稳极限功率以及所述系数K计算暂稳极限功率;The calculation module is used to calculate the power angle of the generator when the fault is removed according to the static and stable limit power of the transmission channel before and after the fault, and to calculate the coefficient K according to the power angle of the generator when the fault is removed; The static stability limit power after the generator failure and the coefficient K are used to calculate the temporary stability limit power; 所述计算模块用于根据所述输电通道故障前和故障后的静稳极限功率计算所述发电机切除故障时的功角的步骤包括:The step of the calculation module for calculating the power angle of the generator when the fault is removed according to the static and stable limit power of the transmission channel before and after the fault includes: 根据所述输电通道故障前和故障后的静稳极限功率通过以下公式计算得到所述发电机的初始功角δ0According to the static and stable limit power of the transmission channel before and after the fault, the initial power angle δ 0 of the generator is calculated by the following formula:
Figure FDA0002419756090000051
Figure FDA0002419756090000051
根据所述发电机的初始功角δ0、发电机额定有功功率以及转动惯量通过以下公式计算得到所述发电机切除故障时的功角δcAccording to the initial power angle δ 0 of the generator, the rated active power of the generator and the moment of inertia, the power angle δ c of the generator when the fault is removed is calculated by the following formula:
Figure FDA0002419756090000052
Figure FDA0002419756090000052
其中,PImax为故障前的静稳极限功率,PIImax为故障后的静稳极限功率,Pn为发电机额定有功功率,PT为同初始潮流下原动机的机械功率,ω0为初始发电机转速,Tj为转动惯量,t为故障时间,在计算过程中,
Figure FDA0002419756090000053
δst为达到极限时功角的补角;
Among them, P Imax is the static stability limit power before the fault, P IImax is the static stability limit power after the fault, P n is the rated active power of the generator, P T is the mechanical power of the prime mover under the same initial power flow, ω 0 is the initial generator speed, T j is the moment of inertia, t is the fault time, in the calculation process,
Figure FDA0002419756090000053
δ st is the supplementary angle of the power angle when the limit is reached;
所述计算模块用于根据所述发电机切除故障时的功角,通过以下公式计算得到所述系数K:The calculation module is configured to calculate the coefficient K by the following formula according to the power angle when the generator removes the fault:
Figure FDA0002419756090000054
Figure FDA0002419756090000054
其中,δc为切除故障时的功角,π-δst为达到极限时功角,即故障后的静态功角稳定极限,δ0为发电机的初始功角。Among them, δ c is the power angle when the fault is removed, π-δst is the power angle when the limit is reached, that is, the static power angle stability limit after the fault, and δ 0 is the initial power angle of the generator.
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