CN101807798A - Section data integration method for power system safety and stability online analysis - Google Patents
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Abstract
本发明属电力系统及自动化技术领域,包括以下步骤:1)依据前一个电网运行状态的安全稳定裕度和模式,计算出发电机、母线对电网安全稳定的影响因子;2)对于调度管辖的电网(内网),采用发电机和母线对电网安全稳定的影响因子来修正量测量的权值,进行状态估计,得到用于安全稳定在线分析的内网断面数据;3)对于调度管辖外的电网(外网),通过修改外网内发电机出力和负荷,确保内、外网之间的联络线的潮流与内网潮流基本一致,并且计及发电机、母线影响因子后的发电机出力和负荷的调整量最小,得到调整后的外网断面数据;4)把内、外网断面数据合在一起,平衡机设置在外网,则得到满足内网安全稳定在线分析的断面数据。
The invention belongs to the field of electric power system and automation technology, comprising the following steps: 1) calculating the influence factors of generators and busbars on the safety and stability of the power grid according to the safety and stability margin and mode of the previous power grid operation state; 2) for the power grid under the jurisdiction of dispatching (intranet), use the influence factors of generators and busbars on the safety and stability of the power grid to correct the weight of the quantity measurement, perform state estimation, and obtain the section data of the internal network for online analysis of safety and stability; 3) For power grids outside the dispatching jurisdiction (external network), by modifying the generator output and load in the external network, ensure that the power flow of the connection line between the internal and external network is basically consistent with the internal network power flow, and the generator output and The adjustment of the load is the smallest, and the adjusted external network section data is obtained; 4) The internal and external network section data are combined, and the balancing machine is set in the external network, and the section data that meets the security and stability of the internal network online analysis is obtained.
Description
技术领域technical field
本发明属于电力系统及自动化技术领域。The invention belongs to the technical field of electric power system and automation.
背景技术Background technique
电网运行断面数据是电力系统安全稳定在线分析的数据基础,其精确性直接影响到电力系统安全稳定在线分析结果的实用性。对于互联电网中一个调度中心调管的子网(简称为:内网)进行安全稳定在线分析,对于内网的断面数据通常直接采用该调度中心能量管理系统(EMS)的状态估计结果,对于该调度中心调管范围外的电网(简称为:外网)的断面数据通常也是采用状态估计结果。用于电网状态估计的数据采集时间不一致,状态估计的计算结果与残差方程中量测量的权值相关度比较大,不同的权值,状态估计的结果不同,量测量的权值越大,状态估计结果就越接近相应的量测值。电网的安全稳定性与电网中各个发电机和母线的运行状态的相关度是不同的,若对电网安全稳定影响大的发电机和母线的运行状态的估计精度高,则电网安全稳定的分析结果将更为精确。为此,需要对常规的状态估计算法进行改进,以提高电网安全稳定分析的精度。同样对于外网断面数据也需要按照发电机和母线对安全稳定的影响程度进行优化调整。Power grid operation section data is the data basis for online analysis of power system security and stability, and its accuracy directly affects the practicability of online analysis results for power system security and stability. For the safety and stability online analysis of a dispatch center subnet (referred to as: intranet) in the interconnected grid, the section data of the intranet usually directly uses the state estimation results of the energy management system (EMS) of the dispatch center. The section data of the power grid (referred to as: external network) outside the scope of dispatching center usually also adopts the result of state estimation. The data collection time used for power grid state estimation is inconsistent, and the calculation result of state estimation has a relatively large correlation with the weight of the quantity measurement in the residual equation. Different weights, different results of state estimation, and the greater the weight of the quantity measurement, The closer the state estimation results are to the corresponding measured values. The security and stability of the power grid have different correlations with the operating states of the generators and buses in the power grid. If the estimation accuracy of the operating states of the generators and buses that have a great impact on the safety and stability of the power grid is high, the analysis results of the power grid security and stability will be more precise. Therefore, it is necessary to improve the conventional state estimation algorithm to improve the accuracy of power grid security and stability analysis. Similarly, the cross-section data of the external network also need to be optimized and adjusted according to the degree of influence of generators and buses on safety and stability.
因此,本发明提出了用于电力系统安全稳定在线分析的断面数据整合方法,在常规的状态估计算法和外网断面数据优化调整算法中引入发电机和母线对安全稳定的影响因子,实现面向电网安全稳定在线分析的断面数据整合,可以提高电网安全稳定在线分析的精度。Therefore, the present invention proposes a cross-section data integration method for on-line analysis of power system safety and stability, and introduces the influence factors of generators and busbars on safety and stability into the conventional state estimation algorithm and external network section data optimization and adjustment algorithm to realize grid-oriented The cross-sectional data integration of online analysis of safety and stability can improve the accuracy of online analysis of safety and stability of power grid.
发明内容Contents of the invention
本发明目的是:实现面向电网安全稳定在线分析的断面数据整合,提高电网安全稳定在线分析的精度。The purpose of the invention is to realize the integration of cross-section data facing the online analysis of the safety and stability of the power grid, and improve the accuracy of the online analysis of the safety and stability of the power grid.
本发明采用以下的技术方案来实现,包括下述步骤:The present invention adopts following technical scheme to realize, comprises the following steps:
1)发电机、母线对电网安全稳定的影响因子计算1) Calculation of influence factors of generator and busbar on power grid safety and stability
对于小扰动稳定,依据前一个电网运行状态的小扰动稳定模式分析结果,采用公式(1)计算发电机对电网小扰动稳定的影响因子。For small-disturbance stability, according to the analysis results of the small-disturbance stability mode in the previous power grid operation state, formula (1) is used to calculate the influence factor of the generator on the small-disturbance stability of the power grid.
其中,σ为用于从所有低频振荡模式中过滤出相对严重模式的阻尼比门槛值,m为阻尼比小于σ的模式数,σj为第j个模式的阻尼比,pa.ij为第j个模式中发电机i的参与因子。where σ is the damping ratio threshold used to filter out relatively severe modes from all low-frequency oscillation modes, m is the number of modes with damping ratios smaller than σ, σ j is the damping ratio of the jth mode, and p a.ij is the Participation factor of generator i in j modes.
对于静态电压稳定,依据前一个电网运行状态的静态电压稳定模式分析结果,采用公式(2)计算母线对静态电压稳定的影响因子。For the static voltage stability, according to the analysis results of the static voltage stability mode in the previous power grid operation state, formula (2) is used to calculate the influence factor of the bus on the static voltage stability.
其中,λ为用于从所有电压稳定模式中过滤出相对严重模式的特征值门槛值,n为特征值小于λ的模式数,λj为第j个模式的特征值,pv.ij为第j个模式中母线i的参与因子。where λ is the eigenvalue threshold used to filter out relatively severe modes from all voltage stable modes, n is the number of modes with eigenvalues smaller than λ, λj is the eigenvalue of the jth mode, and p v.ij is the eigenvalue of the jth mode Participation factor of bus i in j modes.
对于暂态功角稳定和暂态电压安全稳定,依据前一个电网运行状态的各个预想故障的暂态功角稳定裕度、模式和暂态电压安全稳定裕度、模式,分别采用公式(3)和(4)计算发电机和母线对电网暂态安全稳定的影响因子。For transient power angle stability and transient voltage safety and stability, according to the transient power angle stability margin, mode and transient voltage safety and stability margin and mode of each expected fault in the previous power grid operation state, formula (3) is used respectively and (4) Calculate the influence factors of the generator and the busbar on the transient security and stability of the power grid.
其中,ηa为用于从所有预想故障中过滤出暂态功角稳定相对严重故障的稳定裕度门槛值,k为暂态功角稳定裕度小于ηa的预想故障数,ηa.j为故障j发生后的暂态功角稳定裕度(-1≤ηa.j≤1,ηa.j<0表示功角失稳,ηa.j=0表示功角临界稳定,ηa.j>0表示功角稳定),qa.ij为故障j的暂态功角稳定模式中发电机i的参与因子(临界群发电机的参与因子为正,余下群发电机的参与因子为负);ηv为用于从所有预想故障中过滤出暂态电压安全稳定相对严重故障的安全稳定裕度门槛值,l为暂态电压安全稳定裕度小于ηv的预想故障数,ηv.j为故障j发生后母线i的暂态电压安全稳定裕度(-1≤ηv.j≤1,ηv.j<0表示电压不安全或失稳,ηv.j=0表示电压临界安全稳定,ηv.j>0表示电压安全稳定),qv.ij为故障j的暂态电压安全稳定模式中母线i的参与因子。Among them, η a is the stability margin threshold value used to filter out the relatively serious faults of transient power angle stability from all expected faults, k is the number of expected faults whose transient power angle stability margin is less than η a , and η aj is the fault Transient power angle stability margin after j occurs (-1≤η aj ≤1, η aj <0 means power angle instability, η aj =0 means power angle critical stability, η aj >0 means power angle stability), q a.ij is the participation factor of generator i in the transient angle stability mode of fault j (the participation factor of the critical group generator is positive, and the participation factor of the remaining group generators is negative); Filter out the safety and stability margin threshold value of transient voltage safety and stability relative to serious faults, l is the expected number of faults whose transient voltage safety and stability margin is less than η v , η vj is the transient voltage safety of bus i after fault j occurs Stability margin (-1≤η vj ≤1, η vj <0 means the voltage is unsafe or unstable, η vj = 0 means the voltage is critically safe and stable, η vj >0 means the voltage is safe and stable), q v.ij means a fault The participation factor of bus i in the transient voltage safety and stability mode of j.
2)面向内网安全稳定在线分析的内网断面状态估计2) Intranet section state estimation for online analysis of intranet security and stability
对内网的状态估计算法进行修改,采用发电机和母线对电网安全稳定的影响因子来修正量测量的权值,即在状态估计的残差方程中,对于发电机量测量权值,采用(ksGs.i+ktGt.i)与反映量测误差的权值的乘积来代替,对于母线量测量权值,采用(lsBs.i+ltBt.i)与反映量测误差的权值的乘积来代替,其中ks、kt、ls和lt是设定值。再对内网进行状态估计计算,即可得到用于安全稳定在线分析的内网断面数据;The state estimation algorithm of the internal network is modified, and the weight of the quantity measurement is corrected by using the influence factors of the generator and the busbar on the safety and stability of the power grid, that is, in the residual equation of the state estimation, for the weight of the generator quantity measurement, use k s G si + k t G ti ) and the weight reflecting the measurement error instead . , where k s , k t , l s and l t are set values. Then perform state estimation and calculation on the intranet to obtain intranet section data for safe and stable online analysis;
3)面向内网安全稳定在线分析的外网断面数据优化调整3) Optimization and adjustment of external network section data for internal network security and stability online analysis
在对外网的断面数据进行优化调整的目标函数中计及发电机、母线对电网安全稳定的影响因子,式(5)为外网断面数据的有功优化调整模型,无功优化调整模型与之类似。In the objective function of optimizing and adjusting the section data of the external network, the influence factors of generators and buses on the safety and stability of the power grid are taken into account. Equation (5) is the optimal adjustment model for active power of the section data of the external network, and the optimal adjustment model for reactive power is similar to it .
其中,M为外网的可调发电机数,ΔPi是发电机的有功调整量,N为外网的可调负荷母线数,ΔPj是负荷的有功调整量,Cki是第i台发电机对第k条联络线的有功灵敏度,Ckj是第j个负荷对第k条联络线的有功灵敏度,ΔPl.k是第k条内网联络线有功与外网断面数据调整前的相应联络线有功之差,L为内、外网联络线的数目。采用二次规划算法计算出发电机和负荷的有功和无功功率调整量,并对外网断面初始数据进行修改,即得到面向内网安全稳定在线分析的外网断面数据。Among them, M is the number of adjustable generators in the external network, ΔP i is the active power adjustment amount of the generator, N is the adjustable load bus number of the external network, ΔP j is the active power adjustment amount of the load, and C ki is the i-th generator The active power sensitivity of the machine to the k-th tie-line, C kj is the active power sensitivity of the j-th load to the k-th tie-line, ΔP lk is the corresponding tie-line before the adjustment of the active power of the k-th internal network tie-line and the data of the external network section Active power difference, L is the number of internal and external network connection lines. The quadratic programming algorithm is used to calculate the active and reactive power adjustments of generators and loads, and the initial data of the external network section is modified to obtain the external network section data for online analysis of internal network security and stability.
4)面向内网安全稳定在线分析的内、外网断面数据合并4) Merge internal and external network section data for online analysis of internal network security and stability
把步骤2)和步骤3)获得的面向内网安全稳定在线分析的内、外网断面数据合在一起,并将用于全网潮流计算的平衡机设置在外网,则得到满足内网安全稳定在线分析的全网断面潮流数据。Combine the internal and external network cross-section data obtained in step 2) and step 3) for the online analysis of internal network security and stability, and set the balancing machine used for the calculation of the power flow of the entire network on the external network, then the security and stability of the internal network can be satisfied. Online analysis of cross-sectional power flow data of the entire network.
附带说明的是:电网安全稳定在线分析系统第一次启动时,需要给发电机和母线的影响因子设置初始值。A side note is that when the online analysis system for power grid security and stability is started for the first time, it is necessary to set initial values for the influencing factors of generators and buses.
效果和优点:Effects and advantages:
本发明依据电网的安全稳定性与电网中各个发电机和母线的运行状态的相关度不同的特性,通过在线计算发电机和母线对电网安全稳定的影响因子,在常规的状态估计算法和外网断面数据优化调整算法中引入发电机和母线对安全稳定的影响因子,实现了面向电网安全稳定在线分析的断面数据整合,可以提高电网安全稳定在线分析的精度,解决了面向大电网安全稳定在线分析的断面数据整合的难题。According to the characteristics of different correlations between the safety and stability of the power grid and the operating states of each generator and busbar in the power grid, the present invention calculates the influence factors of generators and busbars on the safety and stability of the power grid on-line, in the conventional state estimation algorithm and external network The influence factors of generators and buses on safety and stability are introduced into the section data optimization and adjustment algorithm, which realizes the integration of section data for online analysis of power grid safety and stability, improves the accuracy of online analysis of power grid safety and stability, and solves the problem of online analysis of safety and stability for large power grids. The problem of cross-sectional data integration.
附图说明Description of drawings
图1是本发明方法的流程图。Figure 1 is a flow chart of the method of the present invention.
具体实施方式Detailed ways
下面结合附图1,对本发明方法进行详细描述。Below in conjunction with accompanying drawing 1, the method of the present invention is described in detail.
图1中步骤1描述的是电网安全稳定在线分析系统启动时,由于没有连续运行过程中前一次的电网安全稳定分析结果,所以需要人为设置发电机和母线对电网安全稳定的影响因子;Step 1 in Figure 1 describes that when the grid security and stability online analysis system is started, since there is no previous grid security and stability analysis result in the continuous operation process, it is necessary to artificially set the influence factors of generators and buses on grid security and stability;
图1中步骤2描述的是计算发电机、母线对电网安全稳定的影响因子,包括以下3个部分:Step 2 in Figure 1 describes the calculation of the influence factors of generators and buses on the safety and stability of the power grid, including the following three parts:
1)对于小扰动稳定,依据前一个电网运行状态的小扰动稳定模式分析结果,采用公式(1)计算发电机对电网小扰动稳定的影响因子。1) For small-disturbance stability, according to the analysis results of the small-disturbance stability mode in the previous power grid operation state, formula (1) is used to calculate the influence factor of the generator on the small-disturbance stability of the power grid.
其中,σ为用于从所有低频振荡模式中过滤出相对严重模式的阻尼比门槛值,m为阻尼比小于σ的模式数,σj为第j个模式的阻尼比,pa.ij为第j个模式中发电机i的参与因子。where σ is the damping ratio threshold used to filter out relatively severe modes from all low-frequency oscillation modes, m is the number of modes with damping ratios smaller than σ, σ j is the damping ratio of the jth mode, and p a.ij is the Participation factor of generator i in j modes.
2)对于静态电压稳定,依据前一个电网运行状态的静态电压稳定模式分析结果,采用公式(2)计算母线对静态电压稳定的影响因子。2) For static voltage stability, according to the analysis results of the static voltage stability mode in the previous power grid operation state, formula (2) is used to calculate the influence factor of the busbar on the static voltage stability.
其中,λ为用于从所有电压稳定模式中过滤出相对严重模式的特征值门槛值,n为特征值小于λ的模式数,λj为第j个模式的特征值,pv.ij为第j个模式中母线i的参与因子。where λ is the eigenvalue threshold used to filter out relatively severe modes from all voltage stable modes, n is the number of modes with eigenvalues smaller than λ, λj is the eigenvalue of the jth mode, and p v.ij is the eigenvalue of the jth mode Participation factor of bus i in j modes.
3)对于暂态功角稳定和暂态电压安全稳定,依据前一个电网运行状态的各个预想故障的暂态功角稳定裕度、模式和暂态电压安全稳定裕度、模式,分别采用公式(3)和(4)计算发电机和母线对电网暂态安全稳定的影响因子。3) For transient power angle stability and transient voltage safety and stability, the formula ( 3) and (4) Calculate the influence factors of the generator and the busbar on the transient safety and stability of the power grid.
其中,ηa为用于从所有预想故障中过滤出暂态功角稳定相对严重故障的稳定裕度门槛值,k为暂态功角稳定裕度小于ηa的预想故障数,ηa.j为故障j发生后的暂态功角稳定裕度(-1≤ηa.j≤1,ηa.j<0表示功角失稳,ηa.j=0表示功角临界稳定,ηa.j>0表示功角稳定),qa.ij为故障j的暂态功角稳定模式中发电机i的参与因子(临界群发电机的参与因子为正,余下群发电机的参与因子为负);ηv为用于从所有预想故障中过滤出暂态电压安全稳定相对严重故障的安全稳定裕度门槛值,l为暂态电压安全稳定裕度小于ηv的预想故障数,ηv.j为故障j发生后母线i的暂态电压安全稳定裕度(-1≤ηv.j≤1,ηv.j<0表示电压不安全或失稳,ηv.j=0表示电压临界安全稳定,ηv.j>0表示电压安全稳定),qv.ij为故障j的暂态电压安全稳定模式中母线i的参与因子。Among them, η a is the stability margin threshold value used to filter out the relatively serious faults of transient power angle stability from all expected faults, k is the number of expected faults whose transient power angle stability margin is less than η a , and η aj is the fault Transient power angle stability margin after j occurs (-1≤η aj ≤1, η aj <0 means power angle instability, η aj =0 means power angle critical stability, η aj >0 means power angle stability), q a.ij is the participation factor of generator i in the transient angle stability mode of fault j (the participation factor of the critical group generator is positive, and the participation factor of the remaining group generators is negative); Filter out the safety and stability margin threshold value of transient voltage safety and stability relative to serious faults, l is the expected number of faults whose transient voltage safety and stability margin is less than η v , η vj is the transient voltage safety of bus i after fault j occurs Stability margin (-1≤η vj ≤1, η vj <0 means the voltage is unsafe or unstable, η vj = 0 means the voltage is critically safe and stable, η vj >0 means the voltage is safe and stable), q v.ij means a fault The participation factor of bus i in the transient voltage safety and stability mode of j.
图1中步骤3描述的是对内网断面进行面向内网安全稳定在线分析的状态估计,即对内网的状态估计算法进行修改,采用发电机和母线对电网安全稳定的影响因子来修正量测量的权值,即在状态估计的残差方程中,对于发电机量测量权值,采用(ksGs.i+ktGt.i)与反映量测误差的权值的乘积来代替,对于母线量测量权值,采用(lsBs.i+ltBt.i)与反映量测误差的权值的乘积来代替,其中ks、kt、ls和lt是设定值。再对内网进行状态估计计算,即可得到用于安全稳定在线分析的内网断面数据;Step 3 in Figure 1 describes the state estimation of the section of the internal network oriented to the online analysis of internal network security and stability, that is, the state estimation algorithm of the internal network is modified, and the influence factors of generators and buses on the security and stability of the power grid are used to correct the amount The weight of measurement, that is, in the residual equation of state estimation, for the measurement weight of generator capacity, it is replaced by the product of (k s G si +k t G ti ) and the weight reflecting the measurement error, for the bus The measurement weight is replaced by the product of (l s B si +l t B ti ) and the weight reflecting the measurement error, where k s , k t , l s and l t are set values. Then perform state estimation and calculation on the intranet to obtain intranet section data for safe and stable online analysis;
图1中步骤4描述的是对外网断面进行面向内网安全稳定在线分析的优化调整,即在对外网的断面数据进行优化调整的目标函数中计及发电机、母线对电网安全稳定的影响因子,式(5)为外网断面数据的有功优化调整模型,无功优化调整模型与之类似。Step 4 in Figure 1 describes the optimization and adjustment of the cross-section of the external network for online analysis of the security and stability of the internal network, that is, the influence factors of generators and buses on the safety and stability of the power grid are taken into account in the objective function of the optimization and adjustment of the cross-section data of the external network , Equation (5) is the active power optimization adjustment model of the cross-section data of the external network, and the reactive power optimization adjustment model is similar to it.
其中,M为外网的可调发电机数,ΔPi是发电机的有功调整量,N为外网的可调负荷母线数,ΔPj是负荷的有功调整量,Cki是第i台发电机对第k条联络线的有功灵敏度,Ckj是第j个负荷对第k条联络线的有功灵敏度,ΔPl.k是第k条内网联络线有功与外网断面数据调整前的相应联络线有功之差,L为内、外网联络线的数目。采用二次规划算法计算出发电机和负荷的有功和无功功率调整量,并对外网断面初始数据进行修改,即得到面向内网安全稳定在线分析的外网断面数据。Among them, M is the number of adjustable generators in the external network, ΔP i is the active power adjustment amount of the generator, N is the adjustable load bus number of the external network, ΔP j is the active power adjustment amount of the load, and C ki is the i-th generator The active power sensitivity of the machine to the k-th tie-line, C kj is the active power sensitivity of the j-th load to the k-th tie-line, ΔP lk is the corresponding tie-line before the adjustment of the active power of the k-th internal network tie-line and the data of the external network section Active power difference, L is the number of internal and external network connection lines. The quadratic programming algorithm is used to calculate the active and reactive power adjustments of generators and loads, and the initial data of the external network section is modified to obtain the external network section data for online analysis of internal network security and stability.
图1中步骤5描述的是对内、网断面数据进行面向内网安全稳定在线分析的合并,即把步骤3)和步骤4)获得的面向内网安全稳定在线分析的内、外网断面数据合在一起,并将用于全网潮流计算的平衡机设置在外网,则得到满足内网安全稳定在线分析的全网断面潮流数据。Step 5 in Figure 1 describes the merging of intranet and network section data for online analysis of intranet security and stability, that is, the internal and external network section data obtained in step 3) and step 4) for online analysis of intranet security and stability Together, and setting the balancing machine used for the power flow calculation of the whole network on the external network, the cross-sectional power flow data of the whole network that meets the security and stability of the internal network can be obtained.
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