CN109103871A - The direct-current grid method for analyzing stability more disturbed based on honourable lotus - Google Patents

The direct-current grid method for analyzing stability more disturbed based on honourable lotus Download PDF

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CN109103871A
CN109103871A CN201811148185.5A CN201811148185A CN109103871A CN 109103871 A CN109103871 A CN 109103871A CN 201811148185 A CN201811148185 A CN 201811148185A CN 109103871 A CN109103871 A CN 109103871A
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wind
microgrid
stochastic model
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stochastic
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华英
王鸿
王致杰
程亚丽
韩紫薇
朱洋艳
王娟
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Shanghai Dianji University
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J1/00—Circuit arrangements for DC mains or DC distribution networks
    • H02J1/10—Parallel operation of DC sources

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  • Power Engineering (AREA)
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Abstract

本发明公开一种基于风光荷多扰动的直流微电网稳定性分析方法，其包括如下步骤：构建直流微电网系统的随机模型：获取所述随机模型的解、随机变量的期望与方差以及所述直流微电网系统的状态方程的特征根；判断当时间t趋于无穷大时，所述随机变量的期望与方差是否有界且所述特征根的实部是否均小于0，若是，则所述直流微电网系统是随机稳定的。本发明将直流微电网中的各种随机因素作为随机变量，通过随机微分方程的基本理论，建立了包含所有种类的随机过程的直流微电网的随机模型，能够更加真实的反应直流微电网中的随机扰动问题，提高直流微电网稳定性分析的准确性。

The invention discloses a method for analyzing the stability of a DC microgrid based on multiple disturbances of wind, wind and loads, which includes the following steps: constructing a stochastic model of a DC microgrid system: obtaining the solution of the stochastic model, the expectation and variance of random variables, and the The characteristic root of the state equation of the DC microgrid system; it is judged that when the time t tends to infinity, whether the expectation and variance of the random variable are bounded and whether the real part of the characteristic root is less than 0, if so, the DC The microgrid system is stochastically stable. The present invention uses various random factors in the DC microgrid as random variables, and establishes a random model of the DC microgrid including all kinds of random processes through the basic theory of stochastic differential equations, which can more realistically reflect the factors in the DC microgrid. To improve the accuracy of DC microgrid stability analysis for random disturbance problems.

Description

The direct-current grid method for analyzing stability more disturbed based on honourable lotus
Technical field
The present invention relates to electrical network fields, specifically, the present invention relates to a kind of DC micro-electrics more disturbed based on honourable lotus Net method for analyzing stability.
Background technique
For the unstable problem of direct-current grid, many scholars never be unfolded in face of the stability of direct-current grid by Tongfang Systematic analysis, specifically includes that
Using small-signal analysis method, the direct-current grid small-signal model under different control strategies is established, its impedance is analyzed Model analyzes the resonance caused by system interconnects；
Using large-signal analysis, establish the big signal stabilization model of direct-current grid, to constant power load, route and Resonance caused by filtering parameter is analyzed.
But it is micro- to direct current not can solve the random perturbations such as the fluctuation of power supply unit output power, the fluctuation of random load Stochastic volatility problem caused by power grid.
Summary of the invention
Direct-current grid is made in order to solve the random perturbations such as the fluctuation of power supply unit output power, the fluctuation of random load At stochastic volatility problem, the present invention provides it is a kind of based on honourable lotus more disturb direct-current grid stability analysis side Method.
To achieve the above object, a kind of direct-current grid method for analyzing stability packet more disturbed based on honourable lotus of the present invention Include following steps:
Step S101: the stochastic model of DC micro power grid system is constructed:
Wherein, z indicates the acquisition parameter in DC micro power grid system,Indicate the deterministic models of z, β (z, t, W (t)) stochastic variable introduced is indicated, W (t) is white Gaussian noise process, and t is the time；
Step S103: the expectation and variance and the direct-current grid of the solution, stochastic variable of the stochastic model are obtained The characteristic root of the state equation of system；
Step S105: judging when the time, t tended to infinity, the expectation of the stochastic variable and variance whether bounded and institute Whether the real part for stating characteristic root is respectively less than 0, if so, the DC micro power grid system is Stochastic stable.
Preferably, the direct-current grid method for analyzing stability more disturbed based on honourable lotus further includes following steps:
If it is not, then the DC micro power grid system is unstable.
Preferably, the step S101 includes the following steps:
It obtains and classifies acquisition parameter according to preset rules, wherein the classification of acquisition parameter includes that state variable and parameter become Amount；
Classification based on the acquisition parameter and the acquisition parameter constructs the stochastic model of the DC micro power grid system.
Preferably, the acquisition parameter include the revolving speed of blower, generator rotor angle, rotational speed difference, photovoltaic active power of output and Load active power, the preset rules are that the revolving speed of the blower, generator rotor angle, rotational speed difference are divided to state variable, will be described The active power of output of photovoltaic, load active power are divided to parametric variable.
Preferably, the stochastic model of the DC micro power grid system includes wind-powered electricity generation stochastic model, described to be based on the acquisition The stochastic model that the classification of parameter and the acquisition parameter constructs the DC micro power grid system includes the following steps:
Revolving speed, generator rotor angle, rotational speed difference and state variable based on blower construct wind-powered electricity generation stochastic model, wherein when acquisition is joined When number z is state variable x, stochastic model is
In formula:
Indicate the dynamic process of state variable x,
φ (x, t) indicates the motion profile of state variable x,
Indicate the dynamic process of stochastic variable β,
A (x, β, t) indicates the dynamic behaviour of stochastic variable,
The statistical property of b (x, β, t) expression stochastic variable.
Preferably, the stochastic model of the DC micro power grid system includes photovoltaic stochastic model and Stochastic Load Model, institute Stating the classification based on the acquisition parameter and the acquisition parameter and constructing the stochastic model of the DC micro power grid system includes such as Lower step:
Active power of output and parametric variable based on photovoltaic construct photovoltaic stochastic model；
Stochastic Load Model is constructed based on load active power and parametric variable, wherein when acquisition parameter z is that parameter is normal When measuring p, stochastic model is
P (t)=p0+β(p,t,W(t))
In formula:
Indicate the dynamic process of stochastic variable β,
A (p, β, t) indicates the dynamic behaviour of stochastic variable,
The statistical property of b (p, β, t) expression stochastic variable.
Compared with prior art, a kind of direct-current grid method for analyzing stability tool more disturbed based on honourable lotus of the present invention It has the advantages that:
A kind of direct-current grid method for analyzing stability more disturbed based on honourable lotus of the present invention will be in direct-current grid Various enchancement factors are established by the basic theories of stochastic differential equation comprising the random of all kinds as stochastic variable The stochastic model of the direct-current grid of process, and the direct-current grid stochastic model based on stochastic differential equation can be more true Reaction direct-current grid in random perturbation problem, thus, it is possible to the stable characters of more accurate analysis direct-current grid Condition overcomes the feature not accurate enough by deterministic models analysis direct-current grid stability, improves direct-current grid analysis of stability The accuracy of analysis.
The additional aspect of the present invention and advantage will be set forth in part in the description, these will become from the following description Obviously, or practice through the invention is recognized.
Detailed description of the invention
Above-mentioned and/or additional aspect and advantage of the invention will become from the following description of the accompanying drawings of embodiments Obviously and it is readily appreciated that, in which:
Fig. 1 is a kind of method of the direct-current grid method for analyzing stability more disturbed based on honourable lotus of the embodiment of the present invention Flow diagram.
Specific embodiment
The embodiment of the present invention is described below in detail, examples of the embodiments are shown in the accompanying drawings, wherein from beginning to end Same or similar label indicates same or similar element or element with the same or similar functions.Below with reference to attached The embodiment of figure description is exemplary, and for explaining only the invention, and is not construed as limiting the claims.
Referring to Fig. 1, a kind of direct-current grid method for analyzing stability more disturbed based on honourable lotus of the embodiment of the present invention, It includes the following steps:
Step S101: the stochastic model of DC micro power grid system is constructed:
Wherein, z indicates the acquisition parameter in DC micro power grid system,Indicate the deterministic models of z, β (z, t, W (t)) stochastic variable introduced is indicated, W (t) is white Gaussian noise process, and t is the time.
Specifically, step S101 includes the following steps:
It obtains and classifies acquisition parameter according to preset rules, wherein the classification of acquisition parameter includes that state variable and parameter become Amount；
Stochastic model based on the classification of acquisition parameter and acquisition parameter building DC micro power grid system.
Preferably, acquisition parameter includes the active power of output and load of the revolving speed of blower, generator rotor angle, rotational speed difference, photovoltaic Active power, preset rules are that the revolving speed of blower, generator rotor angle, rotational speed difference are divided to state variable, by the output wattful power of photovoltaic Rate, load active power are divided to parametric variable.
In some embodiments, the stochastic model of DC micro power grid system includes wind-powered electricity generation stochastic model, then based on acquisition The stochastic model of the classification of parameter and acquisition parameter building DC micro power grid system includes the following steps:
Revolving speed, generator rotor angle, rotational speed difference and state variable based on blower construct wind-powered electricity generation stochastic model, wherein when acquisition is joined When number z is state variable x, stochastic model is
In formula:
Indicate the dynamic process of state variable x,
φ (x, t) indicates the motion profile of state variable x,
Indicate the dynamic process of stochastic variable β,
A (x, β, t) indicates the dynamic behaviour of stochastic variable,
The statistical property of b (x, β, t) expression stochastic variable.
In some embodiments, the stochastic model of DC micro power grid system further includes that photovoltaic stochastic model and load are random Model, the then stochastic model based on the classification of acquisition parameter and acquisition parameter building DC micro power grid system include the following steps:
Active power of output and parametric variable based on photovoltaic construct photovoltaic stochastic model；
Stochastic Load Model is constructed based on load active power and parametric variable, wherein when acquisition parameter z is that parameter is normal When measuring p, stochastic model is
P (t)=p0+β(p,t,W(t))
In formula:
Indicate the dynamic process of stochastic variable β,
A (p, β, t) indicates the dynamic behaviour of stochastic variable,
The statistical property of b (p, β, t) expression stochastic variable.
Step S103: the expectation and variance and the direct-current grid of the solution, stochastic variable of the stochastic model are obtained The characteristic root of the state equation of system.
Preferably, step S103 is solved using numerical value software for calculation.
Step S105: judging when the time, t tended to infinity, the expectation of the stochastic variable and variance whether bounded and institute Whether the real part for stating characteristic root is respectively less than 0, if so, the DC micro power grid system is Stochastic stable.
It is understood that if when time t tends to infinity, the expectation of stochastic variable and variance is unbounded or characteristic root Real part is greater than 0, then DC micro power grid system is unstable.
Compared with prior art, a kind of direct-current grid stability analysis more disturbed based on honourable lotus of the embodiment of the present invention Method has the following beneficial effects:
A kind of direct-current grid method for analyzing stability more disturbed based on honourable lotus of the embodiment of the present invention is by DC micro-electric Various enchancement factors in net are established by the basic theories of stochastic differential equation comprising all kinds as stochastic variable Random process direct-current grid stochastic model, and the direct-current grid stochastic model based on stochastic differential equation can be more Add the random perturbation problem in true reaction direct-current grid, thus, it is possible to the stabilizations of more accurate analysis direct-current grid Character condition overcomes the feature not accurate enough by deterministic models analysis direct-current grid stability, improves direct-current grid and stablize Property analysis accuracy.
The above is only some embodiments of the invention, it is noted that for the ordinary skill people of the art For member, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also answered It is considered as protection scope of the present invention.

Claims (6)

1.一种基于风光荷多扰动的直流微电网稳定性分析方法，其特征在于，所述基于风光荷多扰动的直流微电网稳定性分析方法包括如下步骤：1. A method for analyzing the stability of a DC microgrid based on wind and wind loads with multiple disturbances, characterized in that the method for analyzing the stability of a DC microgrid based on wind and wind loads with multiple disturbances comprises the following steps: 步骤S101：构建直流微电网系统的随机模型：Step S101: Construct a stochastic model of the DC microgrid system: 其中，z表示直流微电网系统中的采集参数，表示z的确定性模型，β(z,t,W(t))表示引入的随机变量，W(t)是高斯白噪声过程，t为时间；Among them, z represents the acquisition parameters in the DC microgrid system, Represents the deterministic model of z, β(z,t,W(t)) represents the introduced random variable, W(t) is the Gaussian white noise process, and t is time; 步骤S103：获取所述随机模型的解、随机变量的期望与方差以及所述直流微电网系统的状态方程的特征根；Step S103: Obtain the solution of the stochastic model, the expectation and variance of the random variable, and the characteristic root of the state equation of the DC microgrid system; 步骤S105：判断当时间t趋于无穷大时，所述随机变量的期望与方差是否有界且所述特征根的实部是否均小于0，若是，则所述直流微电网系统是随机稳定的。Step S105: Determine whether the expectation and variance of the random variable are bounded and whether the real part of the characteristic root is less than 0 when the time t tends to infinity. If so, the DC microgrid system is stochastically stable. 2.如权利要求1所述的基于风光荷多扰动的直流微电网稳定性分析方法，其特征在于，所述基于风光荷多扰动的直流微电网稳定性分析方法还包括如下步骤：2. The DC microgrid stability analysis method based on wind-wind load multi-disturbance as claimed in claim 1, wherein the DC micro-grid stability analysis method based on wind-wind load multi-disturbance also includes the following steps: 若否，则所述直流微电网系统不稳定。If not, the DC microgrid system is unstable. 3.如权利要求1所述的基于风光荷多扰动的直流微电网稳定性分析方法，其特征在于，所述步骤S101包括如下步骤：3. The DC microgrid stability analysis method based on multiple disturbances of wind and wind loads as claimed in claim 1, wherein said step S101 comprises the following steps: 获取并按照预设规则分类采集参数，其中采集参数的类别包括状态变量和参数变量；Obtain and classify collection parameters according to preset rules, where the categories of collection parameters include state variables and parameter variables; 基于所述采集参数和所述采集参数的类别构建所述直流微电网系统的随机模型。A stochastic model of the DC microgrid system is constructed based on the collection parameters and the category of the collection parameters. 4.如权利要求3所述的基于风光荷多扰动的直流微电网稳定性分析方法，其特征在于，所述采集参数包括风机的转速、功角、转速差、光伏的输出有功功率以及负荷有功功率，所述预设规则为将所述风机的转速、功角、转速差划分至状态变量，将所述光伏的输出有功功率、负荷有功功率划分至参数变量。4. The DC microgrid stability analysis method based on wind and load multi-disturbances as claimed in claim 3, wherein the acquisition parameters include the speed of the fan, the power angle, the speed difference, the output active power of the photovoltaic, and the active power of the load Power, the preset rule is to divide the fan speed, power angle, and speed difference into state variables, and divide the photovoltaic output active power and load active power into parameter variables. 5.如权利要求4所述的基于风光荷多扰动的直流微电网稳定性分析方法，其特征在于，所述直流微电网系统的随机模型包括风电随机模型，所述基于所述采集参数和所述采集参数的类别构建所述直流微电网系统的随机模型包括如下步骤：5. The DC microgrid stability analysis method based on wind-wind load multi-disturbance as claimed in claim 4, wherein the stochastic model of the DC microgrid system includes a wind power stochastic model, and the Constructing the stochastic model of the DC microgrid system according to the category of the collected parameters includes the following steps: 基于风机的转速、功角、转速差以及状态变量构建风电随机模型，其中，当采集参数z为状态变量x时，随机模型为A wind power stochastic model is constructed based on the wind turbine's speed, power angle, speed difference and state variables. When the acquisition parameter z is the state variable x, the stochastic model is 式中：In the formula: 表示状态变量x的动态过程， Represents the dynamic process of the state variable x, φ(x,t)表示状态变量x的运动轨迹， φ(x,t) represents the trajectory of the state variable x, 表示随机变量β的动态过程， Represents the dynamic process of the random variable β, a(x,β,t)表示随机变量的动态行为，a(x,β,t) represents the dynamic behavior of random variables, b(x,β,t)表示随机变量的统计特性。b(x,β,t) represents the statistical properties of random variables. 6.如权利要求4所述的基于风光荷多扰动的直流微电网稳定性分析方法，其特征在于，所述直流微电网系统的随机模型包括光伏随机模型和负荷随机模型，所述基于所述采集参数和所述采集参数的类别构建所述直流微电网系统的随机模型包括如下步骤：6. The DC micro-grid stability analysis method based on wind-wind load multi-disturbance as claimed in claim 4, wherein the stochastic model of the DC micro-grid system includes a photovoltaic stochastic model and a load stochastic model, and based on the The collection parameters and the categories of the collection parameters constructing the random model of the DC microgrid system include the following steps: 基于光伏的输出有功功率以及参数变量构建光伏随机模型；Build a photovoltaic stochastic model based on photovoltaic output active power and parameter variables; 基于负荷有功功率以及参数变量构建负荷随机模型，其中，当采集参数z为参数常量p时，随机模型为Construct a load stochastic model based on load active power and parameter variables, where, when the acquisition parameter z is the parameter constant p, the stochastic model is p(t)＝p0+β(p,t,W(t))p(t)=p 0 +β(p,t,W(t)) 式中：In the formula: 表示随机变量β的动态过程， Represents the dynamic process of the random variable β, a(p,β,t)表示随机变量的动态行为，a(p,β,t) represents the dynamic behavior of random variables, b(p,β,t)表示随机变量的统计特性。b(p,β,t) represents the statistical properties of random variables.
CN201811148185.5A 2018-09-29 2018-09-29 The direct-current grid method for analyzing stability more disturbed based on honourable lotus Pending CN109103871A (en)

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Application publication date: 20181228