WO2014063634A1 - Processing method and device for digital measurement or telemetry of electric power system - Google Patents

Processing method and device for digital measurement or telemetry of electric power system Download PDF

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WO2014063634A1
WO2014063634A1 PCT/CN2013/085807 CN2013085807W WO2014063634A1 WO 2014063634 A1 WO2014063634 A1 WO 2014063634A1 CN 2013085807 W CN2013085807 W CN 2013085807W WO 2014063634 A1 WO2014063634 A1 WO 2014063634A1
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steady state
value
telemetry
steady
digital measurement
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PCT/CN2013/085807
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French (fr)
Chinese (zh)
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郝玉山
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Hao Yushan
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R19/00Arrangements for measuring currents or voltages or for indicating presence or sign thereof
    • G01R19/12Measuring rate of change

Definitions

  • the present invention relates to digital measurement or telemetry data processing techniques, and more particularly to digital measurement or telemetry data steady state processing techniques for voltage, power, phase angle, etc. in a power system. Background technique
  • the steady state process refers to the process that the value of the physical quantity remains basically unchanged or does not change for a long period of time, two steady state processes The transition between them is called a transient process.
  • the analog-to-digital conversion process for physical quantities is called digital measurement.
  • Most of the actual systems only care about the steady-state value.
  • the digital measurement data needs to be processed in a steady state; the data obtained by the local digital measurement is sent to the remote computer through communication ( Called the primary station, it is called telemetry.
  • the data received by the primary station is telemetry data.
  • Most of the actual telemetry systems only care about the steady-state value.
  • the main station needs to perform steady-state processing on the telemetry data.
  • the present invention proposes a steady state processing method for digital measurement or telemetry of a power system, which comprises the following steps:
  • the mathematical description of the transient process is the ordinary differential equation of time.
  • the solution of the ordinary differential equation includes the free component y t (t) and the forced component y s (t), ie
  • the free component y t (t) is the attenuation component associated with the initial value.
  • the free component tends to zero over time, ie y t (t) t ⁇ ⁇ ) 0; the forced component y s (t) is related to the input. , a steady-state solution that does not decay.
  • t>3i after, y t (t) is 0, where ⁇ is the time constant of the system; digital measurement, especially the sampling time of telemetry is often greater than 3 ⁇ , so in the transient process, y(t)
  • the sampled value) ⁇ has only the forced component ⁇ (3 ⁇ 4.
  • the interval between digital measurement or telemetry data is greater than 3 ⁇ , and the forced component of the voltage, current rms, and active and reactive power are only forced components.
  • the load-shedding curve of the prefecture-level dispatching and county-level dispatching is stepped, while the daily load curve of the above-mentioned provincial dispatching is braided.
  • does not exceed 3, and the ⁇ +1 derivative is close to zero.
  • the present invention proposes a steady state process for digital measurement or telemetry of the above power system.
  • Method from SI to S7, the steady state value calculation of the physical quantity of electricity is completed in seven steps.
  • the step S2 calculates the derivatives according to the data sequence ⁇ y J.
  • the first derivative and the high derivative by numerical values, such as forward difference, backward difference, center difference, etc. Let me repeat.
  • step S4 it is determined whether the current value is in a steady state process or a transient process. If X is in a steady state process, its value is a constant value. Due to the influence of random interference, it conforms to the characteristics of stationary random variables in statistical mathematics, then Obey the t distribution; otherwise, if it does not obey the t distribution, it does not belong to the stationary random variable, that is, it does not belong to the steady state process. Specifically:
  • the step S4 determines whether the current value is in a transient process or a steady state process according to the t distribution.
  • is a given constant
  • Xe is the nominal value of the physical quantity X.
  • the ⁇ is at 0.1% ⁇
  • the average and standard deviation 3 ⁇ 4 calculations can be performed as follows:
  • step S5 the average value is calculated with reference to the above method, and the description will not be repeated here.
  • step S6 the inverse state of the steady state value of x is inversely transformed. Since the steady state value is approximately constant, y k . x k , ⁇ 3 ⁇ 4, (3 ⁇ 4, (3 ⁇ 4, ⁇ , ⁇ ⁇ _ ⁇ is press
  • the Kalman filter can filter out the output state variables, ie the first derivative, the second derivative of y, the ..., n+1 derivative, and thus, the derivatives of the above-mentioned steady-state processing methods for digital measurement or telemetry of power systems It can also be obtained by a Kalman filter.
  • the present invention also proposes another steady state processing method for digital measurement or telemetry of a power system, which comprises the following steps:
  • the present invention provides a steady state processing apparatus for digital measurement or telemetry of a power system, which includes:
  • Input unit for inputting a digital measurement or telemetry data sequence of physical quantity y ⁇ ⁇ ,) ⁇ ,...,) ⁇ , where k is the current sampling point number and N is the time window width;
  • a replacement unit for variable replacement c judgment unit for receiving a data sequence "[ ⁇ , determining whether the current value is in a transient process or a steady state process
  • the reducing unit is configured to perform an inverse inverse transformation on the steady state value of X when determining that the current value is in a steady state process, and calculate a steady state value of y;
  • Output unit for outputting steady state values.
  • the determining unit determines whether the current value is in a transient process or a steady state process according to the t distribution:
  • is a given constant
  • Xe is the nominal value of the physical quantity X.
  • the ⁇ is between 0.1% and 10%.
  • the average and standard deviation 3 ⁇ 4 can be calculated as follows:
  • the calculation unit calculates an average value by referring to the above method, and the description will not be repeated here.
  • the present invention also proposes another steady state processing device for digital measurement or telemetry of a power system, which includes:
  • Input unit for inputting a digital measurement or telemetry data sequence of physical quantity y ⁇ ⁇ ,) ⁇ ,...,) ⁇ , where k is the current sampling point number and N is the time window width;
  • a calculation unit configured to calculate a steady-state value of y from the n-th derivative of y when determining that the n-th derivative of y is in a steady state process
  • Output unit for outputting steady state values.
  • the calculation unit calculates the steady-state value of y, where is the first n dt n according to the derivative formula and y and its derivatives
  • the invention provides two methods and devices for digital measurement or telemetry processing of a power system, which are suitable for both on-site digital measurement and main station telemetry processing, and calculate a steady state value for the whole process of the physical quantity of the power system, thereby improving data measurement and The accuracy of telemetry data.
  • FIG. 1 is a schematic diagram of a steady state processing method for digital measurement or telemetry of a power system according to the present invention.
  • FIG. 2 is a schematic diagram of another steady state processing method for digital measurement or telemetry of a power system according to the present invention.
  • 3 is a schematic diagram of a steady state processing device for digital measurement or telemetry of a power system according to the present invention.
  • FIG. 4 is a schematic diagram of another steady state processing device for digital measurement or telemetry of a power system according to the present invention. detailed description
  • FIG. 1 is a schematic diagram of steps of a method for digitally measuring or telemetry steady state processing of a power system according to an embodiment of the present invention. As shown in the figure, the method includes the following steps:
  • the step S2 calculates the derivatives according to the data sequence ⁇ y J.
  • the first derivative and the high derivative by numerical values, such as forward difference, backward difference, center difference, etc. Let me repeat.
  • Step S4 determining whether the current value is in a transient process or a steady state process according to the t distribution, obeying the distribution
  • step S5 the average value is calculated with reference to the above method, and the description will not be repeated here.
  • the constant determined by the derivative formula and the initial value of the physical quantity y and its derivatives. 2 is a schematic diagram showing the steps of a steady state processing method for digital measurement or telemetry of another power system according to the present invention. As shown, it includes the following steps:
  • FIG. 3 is a schematic diagram of a power system digital measurement or telemetry steady state processing device according to the present invention, as shown in the figure, which includes:
  • Input unit 1 a data sequence for inputting a digital measurement or telemetry of physical quantity y ⁇ ⁇ ,) ⁇ ,...,) ⁇ , where k is the current sampling point number and N is the time window width;
  • the restoration unit 6 is configured to perform inverse integration on the steady state value of X when determining that the current value is in a steady state process, and calculate a steady state value of y;
  • Output unit 7 is used to output the steady state value.
  • the determining unit 4 determines whether the current value is in a transient process or a steady state according to the t distribution:
  • 3 ⁇ 4 is the standard deviation
  • t(k) is the t distribution with a degree of freedom of k.
  • the average and standard deviation 3 ⁇ 4 calculations can be performed as follows:
  • the calculating unit 5 calculates an average value by referring to the above method, and the description will not be repeated here.
  • 4 is a schematic diagram of another steady state processing apparatus for digital measurement or telemetry of a power system according to the present invention. As shown, it includes:
  • Input unit A a data sequence for inputting a physical quantity y or a telemetry data ⁇ ⁇ ,) ⁇ ,...,) ⁇ , where k is the current sampling point number and N is the time window width;
  • the calculation unit D is used to determine the steady state value of y from the nth derivative of y when determining that the nth derivative of y is in a steady state process;
  • Output unit E for output steady state value.
  • the invention provides two methods and devices for digital measurement or telemetry processing of a power system, which are suitable for two situations of on-site digital measurement and main station telemetry, and calculate steady state values for the whole process of the physical quantity of the power system, and improve data measurement and telemetry. The accuracy of the data.

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Remote Monitoring And Control Of Power-Distribution Networks (AREA)

Abstract

The present invention relates to a steady-state processing method and device for digital measurement or telemetry of an electric power system, including: inputting a data sequence {yk} = {yk, yk-1,... yk-N} of the digital measurement or telemetry of a physical quantity y; according to the data sequence {yk}, calculating the n+1 order derivative of y, n = 0, 1,..., until a formula (I) is satisfied, so as to determine n; performing variable substitution with a formula (II), and calculating a data sequence {xk}; judging that a current numerical value xk is located in a transient-state process or a steady-state process; when the current numerical value xk is judged to be located in the steady-state process, calculating an average value as a steady-state value according to {xk}; and performing integral inverse transformation, and solving the steady-state value of y from. Also proposed is another steady-state processing method and device for digital measurement or telemetry of an electric power system by adopting a Kalman filter to substitute for the above derivation process. The present invention is applicable to two conditions of the field of digital measurement or telemetry, and performs accurate steady-state processing in the whole process of determining the physical quantity of an electric power system.

Description

电力系统数字测量或遥测处理的方法及装置 技术领域  Method and device for digital measurement or telemetry processing of power system
本发明涉及数字测量或遥测数据处理技术, 尤其涉及电力系统中的电压、 、 功率、 相角等数字测量或遥测数据稳态处理技术。 背景技术  The present invention relates to digital measurement or telemetry data processing techniques, and more particularly to digital measurement or telemetry data steady state processing techniques for voltage, power, phase angle, etc. in a power system. Background technique
实际电力系统运行在稳态、 暂态、 稳态、 …不断交替的过程中, 稳态过程 是指物理量的值在相当长一段时间维持基本不变或变化不大的过程,两个稳态 过程之间的过渡称为暂态过程。  The actual power system operates in the process of steady state, transient, steady state, ... alternating, the steady state process refers to the process that the value of the physical quantity remains basically unchanged or does not change for a long period of time, two steady state processes The transition between them is called a transient process.
对于物理量的模数转换过程称为数字测量, 实际系统中多数只关心稳态 值, 这时需要对数字测量的数据进行稳态处理; 就地数字测量获得的数据经过 通信送往远方的计算机(称为主站)称为遥测,主站接受到的数据为遥测数据, 实际的遥测系统中多数也只关心稳态值, 在主站需要对遥测数据进行稳态处 理。  The analog-to-digital conversion process for physical quantities is called digital measurement. Most of the actual systems only care about the steady-state value. In this case, the digital measurement data needs to be processed in a steady state; the data obtained by the local digital measurement is sent to the remote computer through communication ( Called the primary station, it is called telemetry. The data received by the primary station is telemetry data. Most of the actual telemetry systems only care about the steady-state value. The main station needs to perform steady-state processing on the telemetry data.
在专利 200910158370"物理量数据采集方法及装置 "中, 提出了对物理量 进行稳态测量的方法,但是其中只对稳态过程进行了处理, 暂态过程被认为时 间短而被忽略, 这有可能使大量数据被丟弃,导致长时间的暂态过程中不能处 理稳态值, 并且遥测数据中还包括时间标签等信息, 不适用于已有自动化系统 的升级。 发明内容  In the patent 200910158370 "Physical Data Acquisition Method and Apparatus", a method for steady-state measurement of physical quantities is proposed, but only the steady-state process is processed. The transient process is considered to be short and ignored, which may make A large amount of data is discarded, resulting in a long-term transient process that cannot handle steady-state values, and the telemetry data also includes information such as time stamps, which does not apply to upgrades of existing automation systems. Summary of the invention
为了解决上述技术问题,本发明提出了一种电力系统数字测量或遥测的稳 态处理方法, 其包括以下步骤:  In order to solve the above technical problem, the present invention proposes a steady state processing method for digital measurement or telemetry of a power system, which comprises the following steps:
Sl、 输入物理量 y 的数字测量或遥测的数据序列 {^ μ ^ , }^ ,· · · , ^^ } , 其中 k为当前采样点号, N为时间窗口宽度;  Sl, the data sequence of the digital measurement or telemetry of the input physical quantity y {^ μ ^ , }^ , · · · , ^^ } , where k is the current sampling point number and N is the time window width;
S2、根据数据序列 {yj计算 y的 n+1阶导数, η=0,1,...,直到满足 d _ y  S2, calculating the n+1 derivative of y according to the data sequence {yj, η=0,1,... until d _ y is satisfied
< ε dtn+l 从而确定 n, 其中 ε为接近于 0的常数; < ε dt n+l Thereby determining n, where ε is a constant close to zero;
53、 做变量替换 c = ^, 由数据序列 {yJ计算出数据序列 53. Do variable substitution c = ^, calculate the data sequence from the data sequence { y J
dtn Dt n
54、 对于数据序列{ : , 判断当前数值 处于暂态过程还是稳态过程; 54. For the data sequence { : , judge whether the current value is in a transient process or a steady state process;
55、 当判定当前数值 处于稳态过程, 根据 { }计算平均值 作为稳态值 ¾, 进行步骤 S6; 当判定当前数值 处于暂态过程, 令 k=l; 55. When it is determined that the current value is in a steady state process, the average value is calculated according to { } as the steady state value 3⁄4, and step S6 is performed; when it is determined that the current value is in the transient state, let k=l;
56、 对 x的稳态值 做积分反变换, 计算出 y的稳态值 ;  56. Perform an inverse inverse transformation on the steady-state value of x to calculate the steady-state value of y;
57、 输出稳态值 。  57. Output steady state value.
对于物理量 y, 其暂态过程的数学描述是时间的常微分方程, 常微分方程 的解包括自由分量 yt(t)和强迫分量 ys(t), 即 For the physical quantity y, the mathematical description of the transient process is the ordinary differential equation of time. The solution of the ordinary differential equation includes the free component y t (t) and the forced component y s (t), ie
y(t) = yt(t) + ys(t) y(t) = y t (t) + y s (t)
自由分量 yt(t)是与初值有关的衰减分量, 随着时间的推移自由分量趋于 0, 即 yt(t) t→∞ )0; 强迫分量 ys(t)是与输入有关、 不衰减的稳态解。 工程应用中, 认为 t>3i:后, yt(t)为 0, 其中 τ是系统的时间常数; 数字测量尤其是遥测的采 样时间往往大于 3τ, 这样暂态过程中, y(t)的采样值)^中只有强迫分量^(¾。 The free component y t (t) is the attenuation component associated with the initial value. The free component tends to zero over time, ie y t (t) t → ∞ ) 0; the forced component y s (t) is related to the input. , a steady-state solution that does not decay. In engineering applications, it is considered that t>3i: after, y t (t) is 0, where τ is the time constant of the system; digital measurement, especially the sampling time of telemetry is often greater than 3τ, so in the transient process, y(t) The sampled value) ^ has only the forced component ^ (3⁄4.
电力自动化中, 数字测量或遥测数据的间隔大于 3τ, 电压、 电流的有效 值和有功、无功功率等的遥测数据中只有强迫分量。地级调度和县级调度所辖 的曰负荷曲线呈现阶梯状, 而省以上调度的日负荷曲线呈 Μ状。 前者, 功率 的一阶导数接近于 0, 即所述 η=0; 后者, 功率的二阶导数接近于 0, 即所述 η=1。 也就是说, 电力遥测数据的强迫分量要么一阶导数接近于 0, 要么二阶 导数接近于 0, —般地, η不会超过 3, η+1阶导数就会接近于 0。  In power automation, the interval between digital measurement or telemetry data is greater than 3τ, and the forced component of the voltage, current rms, and active and reactive power are only forced components. The load-shedding curve of the prefecture-level dispatching and county-level dispatching is stepped, while the daily load curve of the above-mentioned provincial dispatching is braided. In the former, the first derivative of power is close to 0, that is, η = 0; in the latter, the second derivative of power is close to 0, that is, η = 1. That is to say, the forced component of the power telemetry data either has a first derivative close to 0 or a second derivative close to 0. In general, η does not exceed 3, and the η+1 derivative is close to zero.
从运动物理学看, 匀速运动^ = 0, 即所述 η=1, 受力平衡是稳态过程, dr  From the perspective of motion physics, the uniform motion ^ = 0, that is, the η = 1, the force balance is a steady state process, dr
v=常数、 s = +v. , v和 s都容易测量; 匀加速运动^ f = o, 即所述 n = 2, 尽 dt v=constant, s = + v . , v and s are easy to measure; uniform acceleration motion ^ f = o, ie the n = 2, do dt
管物理学中认为匀加速运动不是稳态过程, 但是 β = ^=常数、 也容易测量, dt In tube physics, it is considered that the uniform acceleration motion is not a steady state process, but β = ^ = constant, and easy to measure, dt
之后, v = Vo +fl^和 = +ν(Γ + 1/2·β· 2也容易获得; 在数学上, 若^ ^ = 0 , 则^为常数,容易测量,测量^准确后,很容易积分计算出 ^、 、 ...、 dtn dtn dtn dtn 直到求出 y。 After that, v = Vo +fl^ and = + ν(Γ + 1/2·β· 2 are also easy to obtain; mathematically, if ^ ^ = 0, then ^ is a constant, easy to measure, after measuring ^ is accurate, very It is easy to integrate ^, , ..., dt n dt n dt n dt n until y is obtained.
利用这些知识,本发明提出了上述电力系统数字测量或遥测的稳态处理的 方法, 从 SI到 S7共七步完成对电力物理量的稳态值计算。 Using this knowledge, the present invention proposes a steady state process for digital measurement or telemetry of the above power system. Method, from SI to S7, the steady state value calculation of the physical quantity of electricity is completed in seven steps.
所述步骤 S2根据数据序列 {yJ计算各阶导数, 在数学中, 已有很多由数 值求一阶导数、 高阶导数的方法, 如向前差分、 向后差分、 中心差分等, 这里 不再赘述。 The step S2 calculates the derivatives according to the data sequence { y J. In mathematics, there are many methods for obtaining the first derivative and the high derivative by numerical values, such as forward difference, backward difference, center difference, etc. Let me repeat.
所述步骤 S4, 判断当前数值 处于稳态过程还是暂态过程, 如果 X处于 稳态过程, 其值为一恒定值, 由于受到随机干扰的影响, 它符合统计数学中的 平稳随机变量特征, 那么 服从 t分布; 否则, 不服从 t分布, 则 不 属于平稳随机变量, 即不属于该稳态过程。 具体来说:  In step S4, it is determined whether the current value is in a steady state process or a transient process. If X is in a steady state process, its value is a constant value. Due to the influence of random interference, it conforms to the characteristics of stationary random variables in statistical mathematics, then Obey the t distribution; otherwise, if it does not obey the t distribution, it does not belong to the stationary random variable, that is, it does not belong to the steady state process. Specifically:
所述步骤 S4, 依据 t分布判断当前数值 处于暂态过程还是稳态过程,  The step S4 determines whether the current value is in a transient process or a steady state process according to the t distribution.
1, 如果 t ^服从 分布 0, 如果 fe^J不服从(W分布 1, if t ^ obeys distribution 0, if fe^J does not obey ( W distribution
F= l时, 处于稳态过程; F=0时, 处于暂态过程; 其中, 为平均值、 ¾ 为标准方差、 t(k)是自由度为 k的 t分布。 When F=l, it is in the steady state process; when F=0, it is in the transient process; where, it is the average value, 3⁄4 is the standard deviation, and t(k) is the t distribution with the degree of freedom k.
上述判断当前数值 处于暂态过程还是稳态过程的判据可以筒化为:  The above criteria for judging whether the current value is in a transient process or a steady state process can be summarized as:
ίι, 如果 | — |≤G-4  Ίι, if | — | ≤ G-4
F = , m F = , m
[0, 如果 | - |>G- 其中, 为平均值、 ¾为标准方差、 G为给定常数。所述 G位于 2.5~ 15之间。  [0, if | - |> G- where, is the average, 3⁄4 is the standard deviation, and G is the given constant. The G is located between 2.5 and 15.
上述判据还可以进一步筒化为: xe The above criteria can be further reduced to: x e
Figure imgf000005_0001
Figure imgf000005_0001
其中, 为平均值, δ为给定常数, Xe为物理量 X的额定值。所述 δ位于 0.1% ~Where is the average value, δ is a given constant, and Xe is the nominal value of the physical quantity X. The δ is at 0.1% ~
10%之间。 Between 10%.
所述平均值 和标准方差 ¾计算可以按照以下方法进行:  The average and standard deviation 3⁄4 calculations can be performed as follows:
当 F= l变 F = 0时,即当前数值 由稳态过程进入暂态过程时,令 k=l;
Figure imgf000005_0002
When F = l changes F = 0, that is, when the current value enters the transient process from the steady state process, let k = l;
Figure imgf000005_0002
= -j ~~ 7¾-i +(¾ ~¾-i)2 +-j ~~ r(¾ _ )2 , k = k+l。 = -j ~~ 73⁄4-i +(3⁄4 ~3⁄4-i) 2 + -j ~~ r(3⁄4 _ )2 , k = k+l.
—1 —1  —1 —1
所述步骤 S5, 参照上述方法计算平均值 , 此处不再重复叙述。 所述步骤 S6, 对 x的稳态值 做积分反变换, 由于稳态值 为近似常数, 所以, yk . xk , <¾,(¾,(¾,···, αη_χ是按
Figure imgf000006_0001
In the step S5, the average value is calculated with reference to the above method, and the description will not be repeated here. In the step S6, the inverse state of the steady state value of x is inversely transformed. Since the steady state value is approximately constant, y k . x k , <3⁄4, (3⁄4, (3⁄4,···, α η _ χ is press
Figure imgf000006_0001
照导数公式和物理量 y及其各阶导数的初值确定的常数。 卡尔曼滤波器能够滤出输出状态变量,即 y的一阶导数 、二阶导数)、…、 n+1阶导数, 于是, 上述电力系统数字测量或遥测的稳态处理方法中的各阶导 数也可以由卡尔曼滤波器获得。 The constant determined by the derivative formula and the initial value of the physical quantity y and its derivatives. The Kalman filter can filter out the output state variables, ie the first derivative, the second derivative of y, the ..., n+1 derivative, and thus, the derivatives of the above-mentioned steady-state processing methods for digital measurement or telemetry of power systems It can also be obtained by a Kalman filter.
由此, 本发明还提出了另一种电力系统数字测量或遥测的稳态处理方法, 其包括以下步骤:  Thus, the present invention also proposes another steady state processing method for digital measurement or telemetry of a power system, which comprises the following steps:
Pl、 输入物理量 y 的数字测量或遥测的数据序列 {^μ^,}^,···,^^}, 其中 k为当前采样点号, N为时间窗口宽度;  Pl, the digital measurement of the physical quantity y or the data sequence of the telemetry {^μ^,}^,···, ^^}, where k is the current sampling point number and N is the time window width;
P2、 根据数据序列 {>¾}采用卡尔曼滤波器滤波得出物理量 y的各阶导数, 判断出令 n+1 阶及以上阶的导数的绝对值均小于 ε 的最小阶数 η, 其中, η=0, 1,2,3, ε为接近于 0的常数;  P2, according to the data sequence {>3⁄4}, using the Kalman filter to obtain the derivative of the physical quantity y, and determining that the absolute values of the derivatives of the order n+1 and above are smaller than the minimum order η of ε, wherein η = 0, 1, 2, 3, ε is a constant close to 0;
Ρ3、 当 η与上一个采样点判断出的 η值相同,判断 y的 η阶导数处于稳态 过程, 进行步骤 Ρ4; 否则, 令 k=l;  Ρ3. When η is the same as the η value judged by the previous sampling point, judge that the η-order derivative of y is in a steady state process, and proceed to step Ρ4; otherwise, let k=l;
P4、 当判定 y的 n阶导数处于稳态过程, 由 y的 n阶导数计算出 y的稳态 值 ;  P4. When it is determined that the nth derivative of y is in a steady state process, the steady state value of y is calculated from the nth derivative of y;
P5、 输出稳态值 。  P5, output steady state value.
所述步骤 P4, 按照公式 =0。+0 + ^ + 03^+〜+ 0„^"计算出 y的稳态 值 , 其中, l是按照导数公式和y及其各阶导数的
Figure imgf000006_0002
The step P4 is according to the formula = 0 . + 0 + ^ + 03 ^+~+ 0 „^" calculates the steady-state value of y, where l is in accordance with the derivative formula and y and its derivatives
Figure imgf000006_0002
初值确定的常数。 对应的, 本发明提出了一种电力系统数字测量或遥测的稳态处理装置, 其 包括: The constant determined by the initial value. Correspondingly, the present invention provides a steady state processing apparatus for digital measurement or telemetry of a power system, which includes:
输入单元, 用于输入物理量 y 的数字测量或遥测的数据序列 ^ ^,)^,…,)^^, 其中 k为当前采样点号, N为时间窗口宽度;  Input unit, for inputting a digital measurement or telemetry data sequence of physical quantity y ^ ^,)^,...,)^^, where k is the current sampling point number and N is the time window width;
求导单元, 用于根据数据序列 {yj计算 y的 n+1阶导数, η=0,1,..., 直到 从而确定 n, 其中 ε为接近于 0的常数;Deriving unit, configured to calculate n+1 derivative of y according to the data sequence {yj, η=0,1,..., until Thereby determining n, where ε is a constant close to zero;
Figure imgf000007_0001
Figure imgf000007_0001
替换单元, 用于做变量替换 c 判断单元, 用于接收数据序列" [ }, 判断当前数值 处于暂态过程还是稳 态过程;  a replacement unit for variable replacement c judgment unit for receiving a data sequence "[ }, determining whether the current value is in a transient process or a steady state process;
计算单元, 用于当判定当前数值 处于稳态过程, 根据 { }计算平均值 作为稳态值 ; 当判定当前数值 处于暂态过程, 令 k=l;  a calculation unit, configured to determine that the current value is in a steady state process, calculate an average value as a steady state value according to { }; and determine that the current value is in a transient process, let k=l;
还原单元, 用于当判定当前数值 处于稳态过程, 对 X的稳态值 做积分 反变换, 计算出 y的稳态值 ;  The reducing unit is configured to perform an inverse inverse transformation on the steady state value of X when determining that the current value is in a steady state process, and calculate a steady state value of y;
输出单元, 用于输出稳态值 。  Output unit for outputting steady state values.
其中, 所述判断单元, 依据 t分布判断当前数值 处于暂态过程还是稳态 过程:  The determining unit determines whether the current value is in a transient process or a steady state process according to the t distribution:
1, 如果 ^ ^服从 分布 0, 如果 fe^J不服从 (W分布 1, if ^ ^ obeys distribution 0, if fe^J does not obey ( W distribution
F=l时, 处于稳态过程; F=0时, 处于暂态过程; 其中, 为平均值、 ¾ 为标准方差、 t(k)是自由度为 k的 t分布。 When F=l, it is in the steady state process; when F=0, it is in the transient process; where, it is the average value, 3⁄4 is the standard deviation, and t(k) is the t distribution with the degree of freedom k.
上述判据可以筒化为:  The above criteria can be summarized as:
如果 | - |≤G-4 If | - | ≤ G-4
Figure imgf000007_0002
如果 | — |>G- 其中, 为平均值、 ¾为标准方差、 G为给定常数。所述 G位于 2.5~15之间。
Figure imgf000007_0002
If | — |> G- where, is the mean, 3⁄4 is the standard deviation, and G is the given constant. The G is located between 2.5 and 15.
为:
Figure imgf000007_0003
for:
Figure imgf000007_0003
其中, 为平均值, δ为给定常数, Xe为物理量 X的额定值。所述 δ位于 0.1% ~ 10%之间。 Where is the average value, δ is a given constant, and Xe is the nominal value of the physical quantity X. The δ is between 0.1% and 10%.
所述平均值 和标准方差 ¾可以按照以下方法进行计算:  The average and standard deviation 3⁄4 can be calculated as follows:
当 F=l变为 F = 0时,即当前数值 由稳态过程进入暂态过程时,令 k=l;
Figure imgf000007_0004
When F=l becomes F=0, that is, when the current value enters the transient process from the steady state process, let k=l;
Figure imgf000007_0004
fc≥2时: xk = -((k-l)-xk_l +xk) , = ~Ί ~~ 7¾-i +(¾ ~¾-i)2 ~~ r(¾ _ )2 , k = k+l。When fc≥2: x k = -((kl)-x k _ l +x k ) , = ~ Ί ~~ 7¾-i + (¾ ~ ¾-i) 2 ~~ r (¾ _) 2, k = k + l.
c -1 c -1  c -1 c -1
所述计算单元, 参照上述方法计算平均值 , 此处不再重复叙述。  The calculation unit calculates an average value by referring to the above method, and the description will not be repeated here.
所述还原单元,对 X的稳态值 做积分反变换,由于稳态值 为近似常数, 所以, yk =aQ+ax-t + a2-t2 + a -t - Yan-f ·> 其中, an =— . xk , <¾,(¾,(¾,···, an_x是按 n The reducing unit performs an inverse inverse transformation on the steady state value of X. Since the steady state value is approximately constant, y k = a Q + a x - t + a 2 - t 2 + a - t - Ya n - f ·> where a n =- . x k , <3⁄4,(3⁄4,(3⁄4,···, a n _ x is by n
照导数公式和物理量 y及其各阶导数的初值确定的常数。 对应的, 本发明还提出了另一种电力系统数字测量或遥测的稳态处理装 置, 其包括: The constant determined by the derivative formula and the initial value of the physical quantity y and its derivatives. Correspondingly, the present invention also proposes another steady state processing device for digital measurement or telemetry of a power system, which includes:
输入单元, 用于输入物理量 y 的数字测量或遥测的数据序列 ^ ^,)^,…,)^^, 其中 k为当前采样点号, N为时间窗口宽度;  Input unit, for inputting a digital measurement or telemetry data sequence of physical quantity y ^ ^,)^,...,)^^, where k is the current sampling point number and N is the time window width;
滤波单元, 用于根据数据序列 {yj采用卡尔曼滤波器滤出物理量 y的各阶 导数, 判断出令 n+1阶及以上阶的导数的绝对值小于 ε的最小阶数 n, 其中, n=0, 1,2,3, ε为接近于 0的常数;  a filtering unit, configured to filter out each derivative of the physical quantity y by using a Kalman filter according to the data sequence {yj, and determine that the absolute value of the derivative of the n+1 order and the above order is smaller than the minimum order n of ε, wherein, n =0, 1, 2, 3, ε is a constant close to 0;
判断单元, 用于当 η与上一个采样点判断出的 η值相同, 判断 y的 η阶导 数处于稳态过程, 进入计算单元; 否则, 令 k=l;  a determining unit, configured to: when η is the same as the value of η determined by the previous sampling point, determine that the n-th derivative of y is in a steady state process, and enter the calculating unit; otherwise, let k=l;
计算单元, 用于当判定 y的 n阶导数处于稳态过程, 由 y的 n阶导数计算 出 y的稳 -态值 ;  a calculation unit, configured to calculate a steady-state value of y from the n-th derivative of y when determining that the n-th derivative of y is in a steady state process;
输出单元, 用于输出稳态值 。  Output unit for outputting steady state values.
所述计算单元, 按照 =α。+αι· + · 2 + α3· 3+〜 + α„ · "计算出 y 的稳态值 , 其中, 是按照导数公式和 y及其各阶导数的初 n dtn The calculation unit, according to = α . + αι · + · 2 + α3 · 3 +~ + α „ · " Calculate the steady-state value of y, where is the first n dt n according to the derivative formula and y and its derivatives
值确定的常数。 The constant determined by the value.
本发明提供了两种电力系统数字测量或遥测处理的方法及装置,适用于现 场数字测量和主站遥测处理两种情况,对电力系统的物理量的全过程计算稳态 值, 提高了数据测量和遥测数据的准确性。  The invention provides two methods and devices for digital measurement or telemetry processing of a power system, which are suitable for both on-site digital measurement and main station telemetry processing, and calculate a steady state value for the whole process of the physical quantity of the power system, thereby improving data measurement and The accuracy of telemetry data.
附图说明 DRAWINGS
图 1为本发明一种电力系统数字测量或遥测的稳态处理方法示意图。  1 is a schematic diagram of a steady state processing method for digital measurement or telemetry of a power system according to the present invention.
图 2为本发明另一种电力系统数字测量或遥测的稳态处理方法示意图。 图 3为本发明一种电力系统数字测量或遥测的稳态处理装置示意图。 2 is a schematic diagram of another steady state processing method for digital measurement or telemetry of a power system according to the present invention. 3 is a schematic diagram of a steady state processing device for digital measurement or telemetry of a power system according to the present invention.
图 4为本发明另一种电力系统数字测量或遥测的稳态处理装置示意图。 具体实施方式  4 is a schematic diagram of another steady state processing device for digital measurement or telemetry of a power system according to the present invention. detailed description
下面详细描述本发明的实施例, 所述实施例的示例在附图中示出, 其中自 始至终相同或类似的标号表示相同或类似的元件或具有相同或类似功能的元 件。 下面通过参考附图描述的实施例是示例性的, 仅用于解释本发明, 而不能 解释为对本发明的限制。  The embodiments of the present invention are described in detail below, and the examples of the embodiments are illustrated in the drawings, wherein the same or similar reference numerals are used for the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the drawings are intended to be illustrative of the invention and are not to be construed as limiting.
图 1 为本发明实施例电力系统数字测量或遥测稳态处理方法的步骤示意 图, 如图所示, 其包括以下步骤:  FIG. 1 is a schematic diagram of steps of a method for digitally measuring or telemetry steady state processing of a power system according to an embodiment of the present invention. As shown in the figure, the method includes the following steps:
Sl、 输入物理量 y 的数字测量或遥测的数据序列 {^μ^,}^,···,^^}, 其中 k为当前采样点号, N为时间窗口宽度;  Sl, input the digital measurement of the physical quantity y or the data sequence of the telemetry {^μ^,}^,···, ^^}, where k is the current sampling point number, and N is the time window width;
52、根据数据序列 d y  52, according to the data sequence d y
{yj计算 y的 n+l阶导数, η=0,1,...,直到满足 n+l < ε , dt 从而确定 n, 其中 ε为接近于 0的常数;  {yj calculates the n+l derivative of y, η=0,1,... until n+l < ε , dt is satisfied to determine n, where ε is a constant close to 0;
53、 做变量替换 c = ^, 由数据序列 {yJ计算出数据序列 53. Do variable substitution c = ^, calculate the data sequence from the data sequence { y J
d  d
54、 对于数据序列{ : , 判断当前数值 处于暂态过程还是稳态过程; 54. For the data sequence { : , judge whether the current value is in a transient process or a steady state process;
55、 当判定当前数值 处于稳态过程, 根据 { }计算平均值 作为稳态值 ¾ , 进行步骤 S6; 当判定当前数值 处于暂态过程, 令 k=l ; 55. When it is determined that the current value is in the steady state process, the average value is calculated as {stead value 3⁄4 according to { }, and step S6 is performed; when it is determined that the current value is in the transient state, let k=l;
56、 对 x的稳态值 做积分反变换, 计算出 y的稳态值 ;  56. Perform an inverse inverse transformation on the steady-state value of x to calculate the steady-state value of y;
57、 输出稳态值 。  57. Output steady state value.
所述步骤 S2根据数据序列 {yJ计算各阶导数, 在数学中, 已有很多由数 值求一阶导数、 高阶导数的方法, 如向前差分、 向后差分、 中心差分等, 这里 不再赘述。 The step S2 calculates the derivatives according to the data sequence { y J. In mathematics, there are many methods for obtaining the first derivative and the high derivative by numerical values, such as forward difference, backward difference, center difference, etc. Let me repeat.
所述步骤 S4, 依据 t分布判断当前数值 处于暂态过程还是稳态过程, 服从 分布  Step S4, determining whether the current value is in a transient process or a steady state process according to the t distribution, obeying the distribution
F =  F =
0, 如果^ ^不服从 分布  0, if ^^ disobeys distribution
F = l时, 处于稳态过程; F=0时, 处于暂态过程; 其中, 为平均值、 ¾为标准方差、 t(k)是自由度为 k的 t分布。 When F = l, it is in the steady state process; when F = 0, it is in the transient process; where, is the average value, 3⁄4 is the standard deviation, and t(k) is the t distribution with a degree of freedom of k.
所述步骤 S5, 参照上述方法计算平均值 , 此处不再重复叙述。
Figure imgf000010_0001
In the step S5, the average value is calculated with reference to the above method, and the description will not be repeated here.
Figure imgf000010_0001
照导数公式和物理量 y及其各阶导数的初值确定的常数。 图 2 为本发明另一种电力系统数字测量或遥测的稳态处理方法的步骤示 意图, 如图所示, 其包括以下步骤: The constant determined by the derivative formula and the initial value of the physical quantity y and its derivatives. 2 is a schematic diagram showing the steps of a steady state processing method for digital measurement or telemetry of another power system according to the present invention. As shown, it includes the following steps:
Pl、 输入物理量 y 的数字测量或遥测的数据序列 {^μ^,}^,···,^^}, 其中 k为当前采样点号, N为时间窗口宽度;  Pl, the digital measurement of the physical quantity y or the data sequence of the telemetry {^μ^,}^,···, ^^}, where k is the current sampling point number and N is the time window width;
P2、 根据数据序列 {yJ采用 4阶及以下阶卡尔曼滤波器滤波得出物理量 y 的各阶导数,判断出令 n+1阶及以上阶的导数的绝对值均小于 ε的最小阶数 n, 其中, η=0,1,2,3, ε为接近于 0的常数; P2. According to the data sequence { y J, using the Kalman filter of 4th order and below, the derivative of the physical quantity y is obtained, and the absolute order of the derivatives of the order n+1 and above is determined to be smaller than the minimum order of ε. n, where η = 0, 1, 2, 3, ε is a constant close to 0;
Ρ3、 当 η与上一个采样点判断出的 η值相同,判断 y的 η阶导数处于稳态 过程, 进行步骤 Ρ4; 否则, 令 k=l;  Ρ3. When η is the same as the η value judged by the previous sampling point, judge that the η-order derivative of y is in a steady state process, and proceed to step Ρ4; otherwise, let k=l;
P4、 当判定 y的 n阶导数处于稳态过程, 由 y的 n阶导数计算出 y的稳态 值 ;  P4. When it is determined that the nth derivative of y is in a steady state process, the steady state value of y is calculated from the nth derivative of y;
P5、 输出稳态值 。  P5, output steady state value.
其中, 步骤 P4, 当 y的 n阶导数处于稳态过程, y的 n阶导数为一近似常 数, 将其近似为常数 C, 再按照 =α。+αι· + · 2 + α3· 3+〜 + α„· "计算出 y 的稳态值 , 其中, , ^,…,^^是按照导数公式和 y及其各阶导
Figure imgf000010_0002
Where, in step P4, when the nth derivative of y is in a steady state process, the nth derivative of y is an approximate constant, which is approximated as a constant C, and then = α . + αι · + · 2 + α 3 · 3 +~ + α „· " Calculate the steady-state value of y, where , ^,...,^^ is in accordance with the derivative formula and y and its various orders
Figure imgf000010_0002
数的初值确定的常数。 图 3为本发明的一种电力系统数字测量或遥测稳态处理装置的示意图,如 图所示, 其包括: The initial value of the number is determined by a constant. 3 is a schematic diagram of a power system digital measurement or telemetry steady state processing device according to the present invention, as shown in the figure, which includes:
输入单元 1, 用于输入物理量 y 的数字测量或遥测的数据序列 ^ ^,)^,…,)^^, 其中 k为当前采样点号, N为时间窗口宽度;  Input unit 1, a data sequence for inputting a digital measurement or telemetry of physical quantity y ^ ^,)^,...,)^^, where k is the current sampling point number and N is the time window width;
求导单元 2, 用于根据数据序列 {yJ计算 y的 n+1阶导数, η=0,1,..., 直到 满足 d y Deriving unit 2, configured to calculate n+1 derivative of y according to the data sequence { y J, η=0,1,..., until Meet dy
n+l ≤ε , 从而确定 n, 其中 ε为接近于 0的常数;  n + l ≤ ε, thereby determining n, where ε is a constant close to 0;
dt  Dt
替换单元 3, 用于做变量替换 c = 2, 由数据序列 {yJ计算出数据序列 dtn 判断单元 4, 用于接收数据序列" [ }, 判断当前数值 处于暂态过程还是 稳态过程; Substitute unit 3, which is used for variable substitution c = 2, and the data sequence { y J calculates the data sequence dt n judgment unit 4 for receiving the data sequence " [ }, and judges whether the current value is in a transient process or a steady state process;
计算单元 5 ,用于当判定当前数值 处于稳态过程,根据 { }计算平均值 作为稳态值 ; 当判定当前数值 处于暂态过程, 令 k=l;  The calculating unit 5 is configured to determine that the current value is in a steady state process, and calculate an average value as a steady state value according to { }; when determining that the current value is in a transient state, let k=l;
还原单元 6, 用于当判定当前数值 处于稳态过程, 对 X的稳态值 做积 分反变换, 计算出 y的稳态值 ;  The restoration unit 6 is configured to perform inverse integration on the steady state value of X when determining that the current value is in a steady state process, and calculate a steady state value of y;
输出单元 7, 用于输出稳态值 。  Output unit 7 is used to output the steady state value.
其中, 所述判断单元 4, 依据 t分布判断当前数值 处于暂态过程还是稳 态过程:  The determining unit 4 determines whether the current value is in a transient process or a steady state according to the t distribution:
服从 分布  Obey
F =  F =
0, 如果^ ^不服从 分布  0, if ^^ disobeys distribution
F=l时, 处于稳态过程; F=0时, 处于暂态过程; 其中, 为平均值、When F=l, it is in the steady state process; when F=0, it is in the transient process; where, it is the average value,
¾为标准方差、 t(k)是自由度为 k的 t分布。 3⁄4 is the standard deviation, and t(k) is the t distribution with a degree of freedom of k.
上述判断当前数值 处于暂态过程还是稳态过程的判据可以筒化为:  The above criteria for judging whether the current value is in a transient process or a steady state process can be summarized as:
ίι, 如果 | — |≤G-4  Ίι, if | — | ≤ G-4
F = , m F = , m
[0, 如果 | - |>G- 其中, 为平均值、 ¾为标准方差、 G为给定常数。 所述 G位于 2.5~15 之间。  [0, if | - |> G- where, is the average, 3⁄4 is the standard deviation, and G is the given constant. The G is located between 2.5 and 15.
上述判据还可以进一步筒化为:  The above criteria can be further reduced to:
= |i 如果 |  = |i if |
[0 如果 \xk
Figure imgf000011_0001
xe
[0 if \x k
Figure imgf000011_0001
x e
其中, 为平均值, δ为给定常数, Xe为物理量 X的额定值。 所述 δ位于Where is the average value, δ is a given constant, and Xe is the nominal value of the physical quantity X. The δ is located
0.1% ~ 10%之间。 Between 0.1% and 10%.
所述平均值 和标准方差 ¾计算可以按照以下方法进行:  The average and standard deviation 3⁄4 calculations can be performed as follows:
当 F=l变为 F = 0时,即当前数值 由稳态过程进入暂态过程时,令 k=l; k=lH: =·¾, ¾2 = 0 , k = k+l; When F=l becomes F=0, that is, when the current value enters the transient process from the steady state process, let k=l; k=lH: =·3⁄4, 3⁄4 2 = 0 , k = k+l;
k≥2H: xk = -((k-l)-xk_l+xk) , k≥2H: x k = -((kl)-x k _ l +x k ) ,
K  K
= -j ~~ 7¾-i +(¾ ~¾-i)2 +-j ~~ r(¾ _ )2 , k = k+l。 = -j ~~ 73⁄4-i +(3⁄4 ~3⁄4-i) 2 + -j ~~ r(3⁄4 _ )2 , k = k+l.
K—1 K—1  K-1 K-1
所述计算单元 5, 参照上述方法计算平均值 , 此处不再重复叙述。  The calculating unit 5 calculates an average value by referring to the above method, and the description will not be repeated here.
所述还原单元 6, 对 X的稳态值 做积分反变换, 由于稳态值 为近似常 数, 所以, yk = aQ+ ax-t + a2-t2 + a -t - Yan-f ·> 其中, an =— . xk , an_x 是按照导数公式和物理量 y及其各阶导数的初值确定的常数。 图 4为本发明另一种电力系统数字测量或遥测的稳态处理装置的示意图, 如图所示, 其包括: The reducing unit 6 performs an integral inverse transformation on the steady state value of X. Since the steady state value is approximately constant, y k = a Q + a x -t + a 2 -t 2 + a -t - Ya n -f ·> where a n =— . x k , a n _ x is a constant determined according to the derivative formula and the initial value of the physical quantity y and its derivatives. 4 is a schematic diagram of another steady state processing apparatus for digital measurement or telemetry of a power system according to the present invention. As shown, it includes:
输入单元 A, 用于输入物理量 y 的数字测量或遥测的数据序列 ^ ^,)^,…,)^^, 其中 k为当前采样点号, N为时间窗口宽度;  Input unit A, a data sequence for inputting a physical quantity y or a telemetry data ^ ^,)^,...,)^^, where k is the current sampling point number and N is the time window width;
滤波单元 B, 用于根据数据序列 {yj采用 4阶及其以下阶的卡尔曼滤波器 滤出物理量 y的各阶导数, 判断出令 n+1 阶及以上阶的导数的绝对值小于 ε 的最小阶数 η, 其中, η=0,1,2,3, ε为接近于 0的常数;  The filtering unit B is configured to filter out the derivatives of the physical quantity y according to the data sequence {yj using the Kalman filter of the fourth order and below, and determine that the absolute value of the derivative of the n+1 order and the above order is smaller than ε a minimum order η, where η = 0, 1, 2, 3, ε is a constant close to 0;
判断单元 C, 用于当 η与上一个采样点判断出的 η值相同, 判断 y的 η阶 导数处于稳态过程, 进入计算单元 Ε; 否则, 令 k=l;  The determining unit C is configured to: when η is the same as the value of η determined by the previous sampling point, determine that the η-order derivative of y is in a steady state process, and enter the calculating unit Ε; otherwise, let k=l;
计算单元 D, 用于当判定 y的 n阶导数处于稳态过程, 由 y的 n阶导数计 算出 y的稳态值 ;  The calculation unit D is used to determine the steady state value of y from the nth derivative of y when determining that the nth derivative of y is in a steady state process;
输出单元 E, 用于输出稳态值 。  Output unit E, for output steady state value.
所述计算单元 D, 由 y的 n阶导数计算出 y的稳态值 的过程为, 将 y 的 n阶导数近似为常数 C,再按照 =0。+0 + ^ + 03^+〜+ 0„^"计算出 y的稳态值 , 其中, an =丄 -C, Α,^,-,α^是按照导数公式和 y及其各阶 n! The calculation unit D, the process of calculating the steady state value of y from the nth derivative of y is to approximate the nth derivative of y to a constant C, and then according to = 0 . + 0 + ^ + 03 ^+~+ 0 „^” calculates the steady-state value of y, where a n =丄-C, Α,^,-,α^ is in accordance with the derivative formula and y and its order n !
导数的初值确定的常数。 The constant determined by the initial value of the derivative.
本发明提供了两种电力系统数字测量或遥测处理的方法及装置,适用于现 场数字测量和主站遥测处理两种情况,对电力系统的物理量的全过程计算稳态 值, 提高数据测量和遥测数据的准确性。  The invention provides two methods and devices for digital measurement or telemetry processing of a power system, which are suitable for two situations of on-site digital measurement and main station telemetry, and calculate steady state values for the whole process of the physical quantity of the power system, and improve data measurement and telemetry. The accuracy of the data.
以上依据图式所示的实施例详细说明了本发明的构造、 特征及作用效果, 以上所述仅为本发明的较佳实施例,但本发明不以图面所示限定实施范围, 凡 是依照本发明的构想所作的改变,或修改为等同变化的等效实施例,仍未超出 说明书与图示所涵盖的精神时, 均应在本发明的保护范围内。 The structure, features and effects of the present invention are described in detail above based on the embodiments shown in the drawings. The above are only the preferred embodiments of the present invention, but the present invention is not limited to the scope of the embodiments shown in the drawings, and the modifications made in accordance with the concept of the present invention, or modified equivalents to equivalent changes, are not exceeded. The spirit of the specification and the illustrations are intended to be within the scope of the invention.

Claims

权 利 要 求 书 Claims
1.一种电力系统数字测量或遥测的稳态处理方法, 其特征在于包括以下步 骤: A steady state processing method for digital measurement or telemetry of a power system, comprising the steps of:
Sl、 输入物理量 y 的数字测量或遥测的数据序列 {^μ^,}^,···,^^}, 其中 k为当前采样点号, N为时间窗口宽度;  Sl, input the digital measurement of the physical quantity y or the data sequence of the telemetry {^μ^,}^,···, ^^}, where k is the current sampling point number, and N is the time window width;
, d y , d y
52、根据数据序列 {yj计算 y的 n+l阶导数 η=0,1,...,直到满足 n+l <ε , dt 从而确定 n, 其中 ε为接近于 0的常数; 52. Calculate n + l derivative y of y according to the data sequence {yj η = 0, 1, ... until n + l < ε , dt is satisfied to determine n, where ε is a constant close to 0;
53、 做变量替换 c = ^, 由数据序列 {yJ计算出数据序列 53. Do variable substitution c = ^, calculate the data sequence from the data sequence { y J
d  d
54、 对于数据序列{ : , 判断当前数值 处于暂态过程还是稳态过程; 54. For the data sequence { : , judge whether the current value is in a transient process or a steady state process;
55、 当判定当前数值 处于稳态过程, 根据 { }计算平均值 作为稳态值 ¾, 进行步骤 S6; 当判定当前数值 处于暂态过程, 令 k=l; 55. When it is determined that the current value is in a steady state process, the average value is calculated according to { } as the steady state value 3⁄4, and step S6 is performed; when it is determined that the current value is in the transient state, let k=l;
56、 对 x的稳态值 做积分反变换, 计算出 y的稳态值 ;  56. Perform an inverse inverse transformation on the steady-state value of x to calculate the steady-state value of y;
57、 输出稳态值 。  57. Output steady state value.
2.如权利要求 1所述的电力系统数字测量或遥测的稳态处理方法, 其特征 在于:  2. The steady state processing method for digital measurement or telemetry of a power system according to claim 1, wherein:
所述步骤 S4 , 判断当前数值 处于暂态过程还是稳态过程的判据为, 服从 分布  In the step S4, the criterion for judging whether the current value is in a transient process or a steady state process is obeying the distribution.
F =  F =
0, 如果 fe^J不服从 (W分布 0, if fe^J does not obey ( W distribution
F=l时, 处于稳态过程; F=0时, 处于暂态过程; 其中, 为平均值、 ¾ 为标准方差、 t(k)是自由度为 k的 t分布。 When F=l, it is in the steady state process; when F=0, it is in the transient process; where, it is the average value, 3⁄4 is the standard deviation, and t(k) is the t distribution with the degree of freedom k.
3.如权利要求 2所述的电力系统数字测量或遥测的稳态处理方法, 其特征 在于: 所述判据筒化为:  3. The method of claim 1, wherein the criterion is:
il, 如果 | — |≤G-4  Il, if | — | ≤ G-4
F = , m F = , m
[0, 如果 | - |>G- 其中, 为平均值、 ¾为标准方差、 G为给定常数。  [0, if | - |> G- where, is the average, 3⁄4 is the standard deviation, and G is the given constant.
4. 如权利要求 2所述的电力系统数字测量或遥测的稳态处理方法, 其特 征在于: 所述判据筒化为: = |i 如果 |4. The method of claim 2, wherein the criterion is summarized as: = |i if |
0 如果 \xk
Figure imgf000015_0001
xe
0 if \x k
Figure imgf000015_0001
x e
其中, 为平均值, δ为给定常数, Xe为物理量 χ的额定值。 Where is the average value, δ is a given constant, and Xe is the nominal value of the physical quantity χ.
5.如权利要求 1所述的电力系统数字测量或遥测的稳态处理方法, 其特征 在于:  5. The steady state processing method for digital measurement or telemetry of a power system according to claim 1, wherein:
所述步骤 S6, 按照公式 =0。+0 + ^ + 03^+〜+ 0„^"计算 y的稳态值 yk , 其中, 是按照导数公式和 y及其各阶导数的初值 确定的常数。 The step S6 is according to the formula = 0 . + 0 + ^ + 03 ^+~+ 0 „^” calculates the steady-state value y k of y , where is the constant determined by the derivative formula and the initial value of y and its derivatives.
6.—种电力系统数字测量或遥测的稳态处理方法, 其特征在于包括以下步 骤:  6. A steady state processing method for digital measurement or telemetry of a power system, comprising the steps of:
Pl、 输入物理量 y 的数字测量或遥测的数据序列 {^μ^,}^,···,^^}, 其中 k为当前采样点号, N为时间窗口宽度;  Pl, the digital measurement of the physical quantity y or the data sequence of the telemetry {^μ^,}^,···, ^^}, where k is the current sampling point number and N is the time window width;
P2、 根据数据序列 {yJ采用卡尔曼滤波器滤出物理量 y的各阶导数, 判断 出令 n+1阶及以上阶的导数的绝对值均小于 ε的最小阶数 n,其中, n=0,l,2,3, ε为接近于 0的常数; P2. According to the data sequence { y J, the Kalman filter is used to filter out the derivatives of the physical quantity y, and it is determined that the absolute values of the derivatives of the n+1 order and the above are smaller than the minimum order n of ε, where n= 0,l,2,3, ε is a constant close to 0;
Ρ3、 当 η与上一个采样点判断出的 η值相同,判断 y的 η阶导数处于稳态 过程, 进行步骤 Ρ4; 否则, 令 k=l;  Ρ3. When η is the same as the η value judged by the previous sampling point, judge that the η-order derivative of y is in a steady state process, and proceed to step Ρ4; otherwise, let k=l;
P4、 当判定 y的 n阶导数处于稳态过程, 由 y的 n阶导数计算出 y的稳态 值 ;  P4. When it is determined that the nth derivative of y is in a steady state process, the steady state value of y is calculated from the nth derivative of y;
P5、 输出稳态值 。  P5, output steady state value.
7.如权利要求 6所述的电力系统数字测量或遥测的稳态处理方法, 其特征 在于:  7. The steady state processing method for digital measurement or telemetry of a power system according to claim 6, wherein:
所述步 P4, 按照公式 =0。+0 + ^ + 03^+〜+ 0„^"计算出 y的稳态 值 , 其中, βQ,βl,β2,…, 1按照导数公式和y及其各阶导数的初
Figure imgf000015_0002
The step P4 is according to the formula = 0 . + 0 + ^ + 03 ^+~+ 0 „^” calculates the steady-state value of y, where βQ , βl , β2 ,..., 1 are in accordance with the derivative formula and y and its derivatives.
Figure imgf000015_0002
值确定的常数。 The constant determined by the value.
8. 一种电力系统数字测量或遥测的稳态处理装置, 其特征在于包括: 输入单元, 用于输入物理量 y 的数字测量或遥测的数据序列 ^ ^,)^,…,)^^, 其中 k为当前采样点号, N为时间窗口宽度;  8. A steady-state processing device for digital measurement or telemetry of a power system, comprising: an input unit, a data sequence for inputting a digital measurement or telemetry of a physical quantity y ^^,)^,...,)^^, wherein k is the current sampling point number, and N is the time window width;
求导单元, 用于根据数据序列 {yj计算 y的 n+1阶导数, η=0,1,..., 直到 从而确定 n, 其中 ε为接近于 0的常数;Deriving unit, configured to calculate n+1 derivative of y according to the data sequence {yj, η=0,1,..., until Thereby determining n, where ε is a constant close to zero;
Figure imgf000016_0001
Figure imgf000016_0001
替换单元, 用于做变量替换 c 判断单元, 用于接收数据序列" [ }, 判断当前数值 处于暂态过程还是稳 态过程;  a replacement unit for variable replacement c judgment unit for receiving a data sequence "[ }, determining whether the current value is in a transient process or a steady state process;
计算单元, 用于当判定当前数值 处于稳态过程, 根据 { }计算平均值 作为稳态值 ; 当判定当前数值 处于暂态过程, 令 k=l;  a calculation unit, configured to determine that the current value is in a steady state process, calculate an average value as a steady state value according to { }; and determine that the current value is in a transient process, let k=l;
还原单元, 用于当判定当前数值 处于稳态过程, 对 X的稳态值 做积分 反变换, 计算出 y的稳态值 ;  The reducing unit is configured to perform an inverse inverse transformation on the steady state value of X when determining that the current value is in a steady state process, and calculate a steady state value of y;
输出单元, 用于输出稳态值 。  Output unit for outputting steady state values.
9.如权利要求 8所述的电力系统数字测量或遥测的稳态处理装置, 其特征 在于: 所述判断单元的判据为,  9. The steady state processing apparatus for digital measurement or telemetry of a power system according to claim 8, wherein: the criterion of the determining unit is:
1, 如果 t ^服从 分布  1, if t ^ obeying distribution
0, 如果 fe^J不服从(W分布 0, if fe^J does not obey ( W distribution
F=l时, 处于稳态过程; F=0时, 处于暂态过程; 其中, 为平均值、 ¾ 为标准方差、 t(k)是自由度为 k的 t分布。 When F=l, it is in the steady state process; when F=0, it is in the transient process; where, it is the average value, 3⁄4 is the standard deviation, and t(k) is the t distribution with the degree of freedom k.
10.如权利要求 9所述的电力系统数字测量或遥测的稳态处理装置, 其特 征在于: 所述判据筒化为:  10. The steady state processing apparatus for digital measurement or telemetry of a power system according to claim 9, wherein: said criterion is:
il, 如果 | — |≤G-4  Il, if | — | ≤ G-4
F = , m F = , m
[0, 如果 | - |>G- 其中, 为平均值、 ¾为标准方差、 G为给定常数。  [0, if | - |> G- where, is the average, 3⁄4 is the standard deviation, and G is the given constant.
11.如权利要求 9所述的电力系统数字测量或遥测的稳态处理装置, 其特 征在
Figure imgf000016_0002
11. The steady state processing apparatus for digital measurement or telemetry of a power system according to claim 9, wherein
Figure imgf000016_0002
其中, 为平均值, δ为给定常数, Xe为物理量 X的额定值。 Where is the average value, δ is a given constant, and Xe is the nominal value of the physical quantity X.
12. 如权利要求 8所述的电力系统数字测量或遥测的稳态处理装置, 其特 征在于: 所述还原单元, 按照公式 ^+^ + ^^ + ^^+…+ ^^"计算出 y的 稳态值 , 其中, 是按照导数公式和 y及其各阶导数 的初值确定的常数。 12. The steady state processing apparatus for digital measurement or telemetry of a power system according to claim 8, wherein: said reducing unit calculates y according to a formula ^+^ + ^^ + ^^+...+ ^^" Steady-state value, where, is in accordance with the derivative formula and y and its derivatives The initial value is determined by a constant.
13. 一种电力系统数字测量或遥测的稳态处理装置, 其特征在于包括: 输入单元, 用于输入物理量 y 的数字测量或遥测的数据序列 13. A steady-state processing device for digital measurement or telemetry of a power system, comprising: an input unit for inputting a digital measurement of a physical quantity y or a data sequence of telemetry
^ ^,)^,…,)^^, 其中 k为当前采样点号, N为时间窗口宽度; ^ ^,)^,...,)^^, where k is the current sampling point number and N is the time window width;
滤波单元, 用于根据数据序列 {>¾}采用卡尔曼滤波器滤出物理量 y的各阶 导数, 判断出令 n+1阶及以上阶的导数的绝对值小于 ε的最小阶数 n, 其中, n=0, 1,2,3, ε为接近于 0的常数;  a filtering unit, configured to filter out each derivative of the physical quantity y by using a Kalman filter according to the data sequence {>3⁄4}, and determine that the absolute value of the derivative of the n+1 order and the above order is smaller than the minimum order n of ε, wherein , n=0, 1, 2, 3, ε is a constant close to 0;
判断单元, 用于当 η与上一个采样点判断出的 η值相同, 判断 y的 η阶导 数处于稳态过程, 进入计算单元; 否则, 令 k=l;  a determining unit, configured to: when η is the same as the value of η determined by the previous sampling point, determine that the n-th derivative of y is in a steady state process, and enter the calculating unit; otherwise, let k=l;
计算单元, 用于当判定 y的 n阶导数处于稳态过程, 由 y的 n阶导数计算 出 y的稳 -态值 ;  a calculation unit, configured to calculate a steady-state value of y from the n-th derivative of y when determining that the n-th derivative of y is in a steady state process;
输出单元, 用于输出稳态值 。  Output unit for outputting steady state values.
14.如权利要求 13所述的电力系统数字测量或遥测的稳态处理装置, 其特 征在于: 所述计算单元, 按照公式 =0。 + 0 + ^ + 03^+... + 0„^"计算出 的 稳态值 , 其中, l是按照导数公式和y及其各阶导
Figure imgf000017_0001
14. The steady state processing apparatus for digital measurement or telemetry of a power system according to claim 13, wherein: said calculating unit is according to the formula = 0 . + 0 + ^ + 03 ^+... + 0 „^” calculated steady-state values, where l is in accordance with the derivative formula and y and its various derivatives
Figure imgf000017_0001
数的初值确定的常数。 The initial value of the number is determined by a constant.
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CN102928014A (en) * 2012-10-23 2013-02-13 保定市三川电气有限责任公司 Method and device for digital measurement or telemetering processing of electric power system
CN102946253A (en) * 2012-10-23 2013-02-27 保定市三川电气有限责任公司 Data sampling method and data sampling system, as well as method and system applying data sampling method and data sampling system to parameter identification

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CN114440452A (en) * 2022-03-01 2022-05-06 浙江乾丰智能科技有限公司 Practical frosting judgment method for air energy water heater
CN114440452B (en) * 2022-03-01 2024-01-16 北溪特(浙江)科技有限公司 Frosting judgment method for air energy water heater

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