CN106786807B - A kind of wind power station active power control method based on Model Predictive Control - Google Patents
A kind of wind power station active power control method based on Model Predictive Control Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于风电场有功功率控制技术领域,更为具体地讲,涉及一种基于模型预测控制的风电场有功功率控制方法。The invention belongs to the technical field of active power control of wind farms, and more particularly relates to a method for controlling active power of wind farms based on model predictive control.
背景技术Background technique
风力发电作为最主要的可再生能源利用形式,得到了快速的发展。传统的风电场控制方式是一种自治的有功功率控制方式,允许风电场内各台风机自行根据风能的变化尽可能的发电。随着风电渗透水平逐渐增高,这种因风能的不确定性引起的风电场有功功率的波动性给电网的安全运行带来了巨大挑战。风电场实现可控运行将逐渐成为大型风电场并网运行的发展趋势,风电场可控运行的关键技术是风电场的有功功率控制。As the most important form of renewable energy utilization, wind power has developed rapidly. The traditional wind farm control method is an autonomous active power control method, which allows each wind turbine in the wind farm to generate electricity as much as possible according to the change of wind energy. As the penetration level of wind power increases gradually, the fluctuation of active power of wind farms caused by the uncertainty of wind energy brings great challenges to the safe operation of power grids. The realization of controllable operation of wind farms will gradually become the development trend of grid-connected operation of large-scale wind farms. The key technology for the controllable operation of wind farms is active power control of wind farms.
风电场有功功率控制即风电场可以尽己所能跟踪电网调度值。为了使风电场有功输出波动性得到平抑,常用的方法是使用大型储能设备,然而这种方法的设备成本、技术成本和维护成本较高。另一种较经济的方法是风电机组的协同控制的方法。这种方法利用风电场的集合效应,通过风电场层的控制单元给每台风机分配功率参考值,把每台风电机组看作一个执行器,每台机组的有功输出之和则为风电场总有功功率。Wind farm active power control means that the wind farm can do its best to track the grid dispatch value. In order to stabilize the fluctuation of active power output of wind farms, a common method is to use large-scale energy storage equipment, but this method has high equipment cost, technical cost and maintenance cost. Another more economical method is the cooperative control method of wind turbines. This method makes use of the collective effect of the wind farm, assigns a power reference value to each wind turbine through the control unit of the wind farm layer, treats each wind turbine as an actuator, and the sum of the active power output of each unit is the total output of the wind farm. Active power.
国内外学者对风机的有功功率协同控制方法展开了一系列探讨,最常用的是根据电网调度值与公共链接点测量得到的风电场有功输出之间的偏差,采取比例-积分控制方式,然后使用比例分配方式将有功参考值分配给各台机组。由于风电场是一个多变量强耦合,又含约束的系统,非常适合用模型预测控制方法进行控制。近来有学者提出将模型预测控制方式应用于风电场控制,分别又有集中式模型预测控制和分布式模型预测控制两种方案。由于风电场模型是一个多输入多输出的系统,随着风机数量增多,阶数显著增大,分布式模型预测方案较集中式模型预测控制方案能减少计算量。总的来说目前这些研究都将风电场进行统一控制,未考虑机组所处不同位置风况不同等差异。然而如果不考虑机组间差异,造成功率分配不当,必然导致总有功功率跟踪效果不佳。并且目前的研究忽略了机组响应时间,认为机组有功输出瞬间即可达到参考值,转而将研究重点放在功率可追踪下的风机载荷控制。所以以快速跟踪电网调度为目的的研究甚少。Scholars at home and abroad have carried out a series of discussions on the active power cooperative control method of wind turbines. The most commonly used method is to adopt the proportional-integral control method according to the deviation between the grid dispatch value and the active power output of the wind farm measured at the public link point, and then use The proportional distribution method distributes the active reference value to each unit. Because the wind farm is a multi-variable and strongly coupled system with constraints, it is very suitable to be controlled by the model predictive control method. Recently, some scholars have proposed to apply the model predictive control method to wind farm control, and there are two schemes: centralized model predictive control and distributed model predictive control. Since the wind farm model is a multi-input and multi-output system, with the increase of the number of wind turbines, the order increases significantly. Compared with the centralized model predictive control scheme, the distributed model prediction scheme can reduce the amount of calculation. In general, these current studies all control wind farms in a unified manner, and do not take into account the differences in wind conditions at different locations of the units. However, if the differences between units are not considered, resulting in improper power distribution, it will inevitably lead to poor tracking of total active power. And the current research ignores the response time of the unit, and believes that the active power output of the unit can reach the reference value instantly, and instead focuses on the fan load control under the power traceability. Therefore, there are few studies aimed at fast-tracking grid dispatching.
因此,一种基于模型预测控制方式,将所处不同风况的风电机组进行分类并对有功调整量进行合理分配,使风电场能够快速跟踪电网调度命令的有功功率控制方法具有重要意义。Therefore, an active power control method based on the model predictive control method, which classifies the wind turbines under different wind conditions and reasonably allocates the active power adjustment, so that the wind farm can quickly track the grid dispatch command is of great significance.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于克服现有技术的不足,提供一种基于模型预测控制的风电场有功功率控制方法,使风电场快速响应,并避免机组的不必要动作,实现对电网调度值的跟踪。The purpose of the present invention is to overcome the deficiencies of the prior art and provide a wind farm active power control method based on model predictive control, so that the wind farm responds quickly, avoids unnecessary actions of the units, and realizes the tracking of the grid dispatch value.
为实现上述发明目的,本发明基于模型预测控制的风电场有功功率控制方法,其特征在于,包括以下步骤:In order to achieve the above purpose of the invention, the method for controlling the active power of a wind farm based on model predictive control of the present invention is characterized in that it includes the following steps:
(1)、根据风机出厂参数,从切入风速vin到额定风速vrated再到切出风速vout将风电机组所处风况进行分类,再根据分类结果,将来自电网调度中心的有功调度功率和从公共链接点测量得到的风电场实时有功出力进行风电场级有功参考值分配,使每类风电机组分配到有功功率参考值其中,i=1,2,…,n,n表示风电机组分类总数;(1) According to the factory parameters of the wind turbine, classify the wind conditions of the wind turbine from the cut-in wind speed v in to the rated wind speed v rated and then to the cut-out wind speed v out , and then according to the classification results, the active dispatch power from the grid dispatch center and real-time active power output of wind farms measured from public link points Allocate the active power reference value at the wind farm level, so that each type of wind turbine can be assigned to the active power reference value Among them, i=1,2,...,n, n represents the total number of classifications of wind turbines;
(2)、对分类后的每一类风电机组按照分类类别进行等值建模,再在等值建模基础上,设计每一类风电机组的模型预测控制器,最后利用模型预测控制器对进行修定,得到有功功率值 (2) Carry out equivalent modeling for each type of wind turbine after classification according to the classification category, and then design the model predictive controller of each type of wind turbine on the basis of the equivalent modeling, and finally use the model predictive controller to Make corrections to get the active power value
(3)、将有功功率值按照单台风电机组在该类风机机组中的出力比例分配给单台风电机组,使每台风电机组分配到输出功率值mi表示第i类风电机组的总台数;(3), the active power value According to the output ratio of a single wind turbine in this type of wind turbine, it is allocated to a single wind turbine, so that each wind turbine is assigned to the output power value m i represents the total number of wind turbines of the i-th category;
(4)、每台风电机组按照分配到的输出功率值进行输出,从而完成整个风电场的有功功率控制。(4), each wind turbine according to the assigned output power value Output, so as to complete the active power control of the entire wind farm.
其中,所述步骤(1)中,每类风电机组分配到有功功率参考值的具体步骤为:Wherein, in the step (1), each type of wind turbine is assigned to an active power reference value The specific steps are:
(2.1)、功率预处理(2.1), power preprocessing
计算每类风电机组的有功出力 Calculate the active power output of each type of wind turbine
其中,表示第i类风电机组中第j台风电机组的出力,mi表示第i类风电机组的总台数;in, represents the output of the jth wind turbine in the i-th type of wind turbine, and m i represents the total number of the i-th type of wind turbine;
计算整个风电场有功出力 Calculate the active output of the entire wind farm
其中,是第i类风电机组有功出力,n表示风电机组分类总数;in, is the active power output of the i-th type of wind turbines, and n represents the total number of classifications of wind turbines;
计算风电场待调控量ΔP: Calculate the amount to be regulated ΔP of the wind farm:
其中,是来自电网调度中心的有功调度功率;in, is the active dispatch power from the grid dispatch center;
(2.2)、分配每类风电机组有功功率参考值 (2.2) Allocate the active power reference value of each type of wind turbine
(2.2.1)、当ΔP>0时,则表明那么每类风电机组的有功功率参考值的分配步骤为:(2.2.1), when ΔP>0, it means that Then the active power reference value of each type of wind turbine The allocation steps are:
1)、计算每类风电机组的升功率能力: 1) Calculate the power-up capability of each type of wind turbine:
2)、按照预设的调控顺序,依次累加每类风电机组升功率能力,当时,按照如下公式进行分配,得到每类风电机组的有功参考值 2) According to the preset regulation sequence, the power-up capability of each type of wind turbine is accumulated in turn. , according to the following formula for distribution to obtain the active reference value of each type of wind turbine
其中,表示第i类风电机组升功率的能力,表示第i类风电机组有功输出最大值,t表示依次累加到第t类风电机组即可满足调度目标;in, Represents the capacity of the i-th type wind turbine to increase the power, Represents the maximum value of active power output of the i-th type of wind turbines, and t means that it can be accumulated to the t-th type of wind turbines in turn to meet the dispatching target;
(2.2.2)、当ΔP<0时,表明那么每类风电机组的有功功率参考值的分配步骤为:(2.2.2), when ΔP<0, it means that Then the active power reference value of each type of wind turbine The allocation steps are:
1)、计算每类风电机组的降功率能力: 1) Calculate the power reduction capability of each type of wind turbine:
2)、按照预设的调控顺序,依次累加每类风电机组降功率能力,当时,按照如下公式进行分配,得到每类风电机组的有功参考值 2) According to the preset regulation sequence, the power reduction capability of each type of wind turbine is accumulated in turn. , according to the following formula for distribution to obtain the active reference value of each type of wind turbine
其中,表示第i类机组降功率的能力,表示第i类机组有功输出最小值。in, Indicates the ability of the i-th type unit to reduce power, Indicates the minimum value of the active output of the i-th type unit.
进一步的,所述步骤(2)中,对每一类风电机组按照分类类别进行等值建模的方法为:Further, in the step (2), the method of performing equivalent modeling for each type of wind turbine according to the classification category is:
(3.1)、设步骤(1)中风电机组所处风况划分为n类,其中,低风速区机组占k-1类,表示为T1,T2,…Tk-1;临近额定风速区机组占一类,表示为Tk;高风速区机组占n-k类,表示为Tk+1,Tk+2,…Tn;(3.1), suppose that the wind conditions of the wind turbines in step (1) are divided into n categories, among which, the units in the low wind speed area occupy category k-1, which are expressed as T 1 , T 2 ,...T k-1 ; near the rated wind speed The units in the high wind speed area occupy one class, denoted as T k ; the units in the high wind speed area occupy the nk class, denoted as T k+1 , T k+2 ,…T n ;
(3.2)、对各类风电机组进行等值(3.2) Equivalent value for all types of wind turbines
(3.2.1)、以容量等值为前提,分别对各类风电机组进行等值;(3.2.1), on the premise that the capacity is equivalent, carry out the equivalent value for each type of wind turbine;
1)、对低风速区机组进行等值:1), perform the equivalent value for the unit in the low wind speed area:
1.1)、风速等值1.1), wind speed, etc.
根据风速-功率函数计算第i类风电机组中每台风电机组功率:Pij=F(vij)Calculate the power of each wind turbine in the i-th type of wind turbine according to the wind speed-power function: P ij =F(vi j )
计算第i风电机组的等值有功功率 Calculate the equivalent active power of the i-th wind turbine
采用倒推法计算第i类风电机组的等值风速 Calculate the equivalent wind speed of the i-th type wind turbine by using the backward method
其中,j表示第i类风电机组中第j台风电机组,mi表示第i类风电机组的总台数,F(vij)为风速-功率函数,vij表示第i类风电机组中第j台风电机组的风速;Among them, j represents the jth wind turbine in the i-th type of wind turbines, m i represents the total number of the i-th type of wind turbines, F(v ij ) is the wind speed-power function, v ij represents the j-th type of wind turbines in the i-th type of wind turbines The wind speed of the typhoon;
1.2)、转矩等值1.2), torque equivalent
其中,为第i类风电机组的等值转矩,其值相当于第i类中某台特定机组j*的转矩;in, is the equivalent torque of the i-type wind turbine, and its value is equivalent to the torque of a specific unit j * in the i-type;
2)、对临近额定风速机组和高风速区机组进行等值;2) Equivalent values for the units near the rated wind speed and those in the high wind speed area;
2.1)、风速等值: 2.1), wind speed equivalent:
2.2)、转矩等值: 2.2), torque equivalent:
(3.3)、根据等值建立状态空间模型(3.3), establish a state space model according to the equivalent value
(3.3.1)、将风机机械转矩在给定稳定运行点的一阶泰勒展开近似得到:(3.3.1), the mechanical torque of the fan The approximation of the first-order Taylor expansion at a given stable operating point yields:
其中,δ表示变量与其稳定运行点的偏差,ρ是空气密度,R是风轮半径,v是风速,Cp(λ,β)是功率利用系数,β是桨距角,λ是叶尖速比,ωt是风机转速,Tt可看作关于风机转速ωt、桨距角β和风速v的函数,上划线表示其稳态运行点;where δ represents the deviation of the variable from its stable operating point, ρ is the air density, R is the rotor radius, v is the wind speed, C p (λ, β) is the power utilization coefficient, β is the pitch angle, and λ is the tip speed Compare, ω t is the fan speed, T t can be regarded as a function of the fan speed ω t , the pitch angle β and the wind speed v, the overline represents its steady-state operating point;
(3.3.2)、建立状态空间模型(3.3.2), establish a state space model
y=δPg=Cxy=δP g =Cx
其中,d=δvin, d=δv
其中,ωg是电机转速,Tg是电磁转矩,上标*表示给定值,Ks和Bs分别表示转动轴的等值弹性系数和等值阻尼系数,Jt和Jg分别表示风机转动惯量和电机转动惯量,τg和τ分别表示机电时间常数和桨距角时间常数,η是电机效率。where ω g is the motor speed, T g is the electromagnetic torque, The superscript * represents the given value, K s and B s represent the equivalent elastic coefficient and equivalent damping coefficient of the rotating shaft, respectively, J t and J g represent the moment of inertia of the fan and motor, respectively, τ g and τ represent the electromechanical time constant and pitch angle time constant, η is the motor efficiency.
更进一步的,所述步骤(2)中,模型预测控制器的设计流程为:Further, in the step (2), the design process of the model predictive controller is:
(4.1)、将状态空间模型离散化,得到:(4.1), discretize the state space model to get:
x(k+1)=A′x(k)+Bu′u(k)+Bd′d(k)x(k+1)=A'x(k)+B u 'u(k)+B d 'd(k)
y(k+1)=C′x(k)y(k+1)=C′x(k)
(4.2)、设计优化目标函数及约束条件(4.2), design optimization objective function and constraints
优化目标函数为: The optimization objective function is:
约束条件为: The constraints are:
其中,nc,np分别表示控制时域和预测时域,QP,QR,QS分别表示权重系数,分别表示第i类风电机组电磁转矩和桨距角的最大值,且分别表示第i类风电机组电磁转矩给定值和桨距角给定值,已知采样时间和变化率约束两者相乘则可计算得到 分别表示第i类风电机组电磁转矩变化率的最小值和最大值,桨距角变化率的最小值和最大值。Among them, n c , n p represent the control time domain and prediction time domain, respectively, QP , QR , QS represent the weight coefficients, respectively, respectively represent the maximum value of electromagnetic torque and pitch angle of the i-th type wind turbine, and Represents the given value of electromagnetic torque and the given value of pitch angle of the i-th type wind turbine, and the sampling time and change rate constraints are known Multiplying the two can calculate Represent the minimum and maximum value of the electromagnetic torque change rate and the minimum and maximum value of the pitch angle change rate of the i-th type of wind turbine.
本发明的发明目的是这样实现的:The purpose of the invention of the present invention is achieved in this way:
本发明基于模型预测控制的风电场有功功率控制方法,根据风电机组所处风速将风电机组进行分类,并采用等值建模方法建立每类机组的局部线性化状态空间模型并基于此设计模型预测控制器,考虑不同类机组的动态响应特性,按一定的优先级将电网调度值分配给每类机组,每类机组所得到的有功参考值再由模型预测控制器进行修定,修定值按比例分配给该类中所有机组。本发明以风电场有功功率控制为目标,考虑机组间的运行差异,并基于模型预测控制,使之能快速跟踪电网调度值。The present invention is a wind farm active power control method based on model predictive control. The wind turbines are classified according to the wind speed where the wind turbines are located, and the equivalent modeling method is used to establish a local linearized state space model of each type of turbines and predict based on the design model. The controller, considering the dynamic response characteristics of different types of units, assigns the grid dispatch value to each type of unit according to a certain priority, and the active power reference value obtained by each type of unit is then revised by the model prediction controller. Proportionately allocated to all units in the class. The invention takes the active power control of the wind farm as the goal, considers the operation difference between the units, and based on the model prediction control, so that the grid dispatch value can be quickly tracked.
同时,本发明基于模型预测控制的风电场有功功率控制方法还具有以下有益效果:Meanwhile, the wind farm active power control method based on the model predictive control of the present invention also has the following beneficial effects:
(1)、与现有的PI控制方法相比,通过风电机组按所处风速不同进行分类,实现了功率按机组运行差异进行分配;(1) Compared with the existing PI control method, the wind turbines are classified according to the different wind speeds where they are located, so that the power is distributed according to the operating differences of the units;
(2)、与现有的PI控制方法相比,功率的分配上具有优先级,总体上减少了机组不必要的桨距角频繁动作(尤其是临近额定风速区机组的桨距角动作),加快了响应速度,同时有利于延长机组寿命;(2) Compared with the existing PI control method, the power distribution has priority, which generally reduces the unnecessary frequent action of the pitch angle of the unit (especially the pitch angle action of the unit near the rated wind speed area), The response speed is accelerated, and it is beneficial to prolong the life of the unit;
(3)、使用的模型预测控制器,其本质是在对过程的未来行为进行预测的基础上对控制量加以优化;其中预测对于所基于的模型精度没有苛刻的要求,这给予风电场这种高阶非线性的复杂系统建模一定容错空间;优化是在未来一段有限时间内,通过某一性能指标的最优化来确定未来的控制作用,优化是在线反复进行的,有别与传统意义上的全局优化;并且模型预测控制是一种闭环控制算法,充分利用了实际输出误差进行反馈校正,因此可以得到良好控制效果。(3) The essence of the model predictive controller used is to optimize the control quantity on the basis of predicting the future behavior of the process; the prediction does not have strict requirements on the accuracy of the model based on it, which gives the wind farm this kind of High-order nonlinear complex system modeling has a certain fault tolerance space; optimization is to determine the future control effect through the optimization of a certain performance index in a limited period of time in the future. The optimization is repeated online, which is different from the traditional sense. The model predictive control is a closed-loop control algorithm, which makes full use of the actual output error for feedback correction, so it can get a good control effect.
附图说明Description of drawings
图1是基于模型预测控制的风电场有功功率控制方法系统框图;Figure 1 is a system block diagram of a wind farm active power control method based on model predictive control;
图2是现有的PI控制方法系统框图;Fig. 2 is the system block diagram of the existing PI control method;
图3是仿真验证所用的风电场内风速情况图;Figure 3 is a diagram of the wind speed in the wind farm used for simulation verification;
图4是跟踪电网调度值效果对比图;Figure 4 is a comparison diagram of the effect of tracking the dispatch value of the power grid;
图5是某台近额定风速区机组桨距角变化对比图;Figure 5 is a comparison diagram of the pitch angle change of a unit near the rated wind speed area;
图6是机组有功出力变化对比图。Figure 6 is a comparison diagram of the change of the active power output of the unit.
具体实施方式Detailed ways
下面结合附图对本发明的具体实施方式进行描述,以便本领域的技术人员更好地理解本发明。需要特别提醒注意的是,在以下的描述中,当已知功能和设计的详细描述也许会淡化本发明的主要内容时,这些描述在这里将被忽略。The specific embodiments of the present invention are described below with reference to the accompanying drawings, so that those skilled in the art can better understand the present invention. It should be noted that, in the following description, when the detailed description of known functions and designs may dilute the main content of the present invention, these descriptions will be omitted here.
实施例Example
图1是基于模型预测控制的风电场有功功率控制方法系统框图。Figure 1 is a system block diagram of a wind farm active power control method based on model predictive control.
在本实施例中,如图1所示,本发明基于模型预测控制的风电场有功功率控制方法的系统架构主要包括:一、风电场级有功参考值分配;二、基于模型预测控制的参考值修定;三、机组间有功参考修定值分配。下面对三个部分进行详细说明。In this embodiment, as shown in FIG. 1 , the system architecture of the wind farm active power control method based on model predictive control of the present invention mainly includes: 1. allocation of active power reference value at the wind farm level; 2. reference value based on model predictive control 3. Allocation of active power reference revision value among units. The three parts are described in detail below.
一、风电场级有功参考值分配1. Distribution of active power reference value at the wind farm level
风电场级有功参考值分配是以机组分类为前提的。因为即使在一个很小的风电场内,由于地理位置等因素,每台风机所受风速不可能完全相同,本发明按风电机组所受风速对应于不同的预设风速区间,将风电场内所有风电机组划归为若干子类,但就总体而言按控制方式可以分为三大类:The assignment of active power reference values at the wind farm level is based on the classification of units. Because even in a small wind farm, due to factors such as geographical location, the wind speed of each wind turbine cannot be exactly the same. Wind turbines are classified into several sub-categories, but in general they can be divided into three categories according to the control method:
低风速区机组:该类风电机组在切入风速到额定风速间运行,桨距角保持在0°,通过控制风机转矩以调节转速来改变风能利用系数实现有功功率控制,惯性时间常数小,响应速度快。Low wind speed area unit: This type of wind turbine operates between the cut-in wind speed and the rated wind speed, the pitch angle is kept at 0°, and the wind energy utilization coefficient is changed by controlling the fan torque to adjust the speed to achieve active power control. The inertia time constant is small, and the response high speed.
临近额定风速区机组:该类机组在额定风速附近很小的区间内运行,由于处于风速-功率曲线拐点附近,受到很小的风速扰动其工作状态都有可能发生从较大转变,从而引起桨距角的不断变化,导致机组不必要的机械动作,增加响应时间,所以一般情况下不将其纳入调节,而始终为其分配固定的有功参考值。Units near the rated wind speed area: This type of unit operates in a small range near the rated wind speed. Because it is near the inflection point of the wind speed-power curve, its working state may change greatly due to small wind speed disturbances, which will cause propellers The constant change of the pitch angle leads to unnecessary mechanical actions of the unit and increases the response time, so it is generally not included in the adjustment, and a fixed active reference value is always assigned to it.
高风速区机组:该类风电机组在额定风速到切出风速间运行,处于额定转速恒功率发电状态,通过调节桨距角实现有功功率控制,而桨距角的变化是机械动作,惯性时间常数较大,响应速度慢;高风速区机组由于转速已达到额定值,所以所受风速越高,其输出功率对桨距角变化越敏感,即改变同样大小的角度,所受风速越高的机组功率变化越大。High wind speed area unit: This type of wind turbine operates between the rated wind speed and the cut-out wind speed, and is in the state of constant power generation at rated speed. Active power control is realized by adjusting the pitch angle, and the change of the pitch angle is a mechanical action, and the inertia time constant The higher the wind speed, the slower the response speed; the higher the wind speed of the unit in the high wind speed area, the more sensitive the output power to the change of the pitch angle, that is, the higher the wind speed, the higher the wind speed. The greater the power change.
在本实施例中,将风电机组所处风况划分为n类,其中,低风速区机组占k-1类,表示为T1,T2,…Tk-1;临近额定风速区机组占一类,表示为Tk;高风速区机组占n-k类,表示为Tk+1,Tk+2,…Tn;In this embodiment, the wind conditions in which the wind turbines are located are divided into n categories, wherein the units in the low wind speed area occupy category k-1, which are represented as T 1 , T 2 , . . . T k-1 ; the units in the adjacent rated wind speed area occupy One class, represented as T k ; high wind speed area units occupy nk class, represented as T k+1 , T k+2 ,...T n ;
当风电场在接收到来自电网调度中心的有功调度功率和从公共链接点测量得到的风电场实时有功出力后,得到电网调度值与风电场实时有功出力的偏差ΔP,即风电场的待调控量,判断风电场应进行升功率还是降功率控制,根据每类机组响应速度的特征,按一定优先级将分配到每类机组,从而得到每类机组的有功功率参考值为了加快风电场响应速度,显然应该尽可能少地调节桨距角,则每类机组参与调节的优先级顺序为低风速区机组首先参与到调节中,按风速增大方向依次将最低风速区机组,次低风速区机组,直到低风速区风速最接近额定风速的某类机组纳入有功功率调节中,若有功功率控制目标尚未达到,高风速区机组再参与到调节中,按风速降低方向,依次将最高风速区机组,次高风速区,直到高风速区风速最接近额定风速的某类机组纳入有功功率调节中。其中,某类机组参与调节后,能够满足电网调度要求,则按照优先级顺序,在其之后的机组有功输出维持原值。When the wind farm is receiving active dispatch power from the grid dispatch center and real-time active power output of wind farms measured from public link points Then, the deviation ΔP between the grid dispatch value and the real-time active power output of the wind farm is obtained, that is, the amount to be regulated by the wind farm, and it is judged whether the wind farm should be controlled to increase or decrease the power. Allocated to each type of unit, so as to obtain the active power reference value of each type of unit In order to speed up the response speed of the wind farm, it is obvious that the pitch angle should be adjusted as little as possible. The priority order of each type of units involved in the adjustment is that the units in the low wind speed area first participate in the adjustment, and the units in the lowest wind speed area are followed by the wind speed increase direction. , units in the next low wind speed area, until a certain type of units in the low wind speed area whose wind speed is closest to the rated wind speed are included in the active power adjustment. If the active power control target has not been reached, the units in the high wind speed area will participate in the adjustment again. The units in the highest wind speed area, the second highest wind speed area, and some types of units whose wind speed is closest to the rated wind speed in the high wind speed area are included in the active power regulation. Among them, after a certain type of unit participates in the adjustment and can meet the grid scheduling requirements, the active power output of the following units will maintain the original value according to the priority order.
下面对每类风电机组分配到有功功率参考值的具体步骤进行详细说明,具体为:The active power reference value is assigned to each type of wind turbine as follows The specific steps are described in detail, as follows:
(1)、计算每类风电机组的有功出力 (1) Calculate the active power output of each type of wind turbine
其中,表示第i类风电机组中第j台风电机组的出力,mi表示第i类风电机组的总台数;in, represents the output of the jth wind turbine in the i-th type of wind turbine, and m i represents the total number of the i-th type of wind turbine;
计算整个风电场有功出力 Calculate the active output of the entire wind farm
其中,是第i类风电机组有功出力,n表示风电机组分类总数;in, is the active power output of the i-th type of wind turbines, and n represents the total number of classifications of wind turbines;
计算风电场待调控量ΔP: Calculate the amount to be regulated ΔP of the wind farm:
其中,是来自电网调度中心的有功调度功率;in, is the active dispatch power from the grid dispatch center;
(2)、分配每类风电机组有功功率参考值 (2) Allocate the active power reference value of each type of wind turbine
(2.1)、当ΔP>0时,则表明表示为了跟踪电网调度值,风电场此时需要增加有功出力,那么每类风电机组的有功功率参考值的分配步骤为:(2.1), when ΔP>0, it means that Indicates that in order to track the grid dispatch value, the wind farm needs to increase the active power output at this time, then the active power reference value of each type of wind turbine The allocation steps are:
1)、计算每类风电机组的升功率能力: 1) Calculate the power-up capability of each type of wind turbine:
2)、按照预设的调控顺序,依次累加每类风电机组升功率能力,当时,按照如下公式进行分配,得到每类风电机组的有功参考值 2) According to the preset regulation sequence, the power-up capability of each type of wind turbine is accumulated in turn. , according to the following formula for distribution to obtain the active reference value of each type of wind turbine
其中,表示第i类风电机组升功率的能力,表示第i类风电机组有功输出最大值,t表示依次累加到第t类风电机组即可满足调度目标;in, Represents the capacity of the i-th type wind turbine to increase the power, Represents the maximum value of active power output of the i-th type of wind turbines, and t means that it can be accumulated to the t-th type of wind turbines in turn to meet the dispatching target;
(2.2)、当ΔP<0时,表明表示为了跟踪电网调度值,风电场此时需要减少有功出力,那么每类风电机组的有功功率参考值的分配步骤为:(2.2), when ΔP<0, it means that Indicates that in order to track the grid dispatch value, the wind farm needs to reduce the active power output at this time, then the active power reference value of each type of wind turbine The allocation steps are:
1)、计算每类风电机组的降功率能力: 1) Calculate the power reduction capability of each type of wind turbine:
2)、按照预设的调控顺序,依次累加每类风电机组降功率能力,当时,按照如下公式进行分配,得到每类风电机组的有功参考值 2) According to the preset regulation sequence, the power reduction capability of each type of wind turbine is accumulated in turn. , according to the following formula for distribution to obtain the active reference value of each type of wind turbine
其中,表示第i类机组降功率的能力,表示第i类机组有功输出最小值,t表示依次累加到第t类风电机组即可满足调度目标。in, Indicates the ability of the i-th type unit to reduce power, Represents the minimum value of the active power output of the i-th type of wind turbines, and t means that it can be accumulated to the t-th type of wind turbines in turn to meet the dispatching target.
二、基于模型预测控制的参考值修定2. Reference value revision based on model predictive control
为了设计模型预测控制器,必须先对每类风电机组进行等值建模,下面以容量等值为前提,分别对各类机组进行单机等值,等值方法分为两种情况说明:In order to design the model predictive controller, it is necessary to carry out equivalent modeling for each type of wind turbine. The following is based on the premise that the capacity is equivalent, and the single-machine equivalent of each type of wind turbine is carried out respectively. The equivalent method is divided into two situations:
1)、对低风速区机组进行等值:1), perform the equivalent value for the unit in the low wind speed area:
1.1)、风速等值1.1), wind speed, etc.
根据风速-功率函数计算第i风电机组中每台风电机组功率Pij:Pij=F(vij)Calculate the power P ij of each wind turbine in the i-th wind turbine according to the wind speed-power function: P ij =F(v ij )
计算第i风电机组的等值有功功率 Calculate the equivalent active power of the i-th wind turbine
采用倒推法计算第i类风电机组的等值风速 Calculate the equivalent wind speed of the i-th type wind turbine by using the backward method
其中,j表示第i类风电机组中第j台风电机组,mi表示第i类风电机组的总台数,F(vij)为风速-功率函数,vij表示第i类风电机组中第j台风电机组的风速;Among them, j represents the jth wind turbine in the i-th type of wind turbines, m i represents the total number of the i-th type of wind turbines, F(v ij ) is the wind speed-power function, v ij represents the j-th type of wind turbines in the i-th type of wind turbines The wind speed of the typhoon;
如两台风速分别为6m/s和8m/s的机组进行风速等值,风速-功率函数为空气密度ρ=1.2231kg/m3,风轮半径R=63m,由于机组位于低风速区,功率利用系数取最大值Cp=Cpmax=0.482,v是风速。先根据风速-功率函数分别计算得到两台机组的功率,0.793872MW和1.881772MW。求其和,再根据风速-功率函数反解得到等值风速约为9m/s。For example, if two units with wind speeds of 6m/s and 8m/s respectively perform wind speed equivalence, the wind speed-power function is Air density ρ=1.2231kg/m 3 , rotor radius R=63m, since the unit is located in the low wind speed area, the power utilization coefficient takes the maximum value C p =C pmax =0.482, and v is the wind speed. First, according to the wind speed-power function, the powers of the two units are calculated respectively, 0.793872MW and 1.881772MW. Calculate the sum, and then inversely solve the wind speed-power function to obtain the equivalent wind speed of about 9m/s.
1.2)、转矩等值1.2), torque equivalent
其中,为第i类风电机组的等值转矩,其值相当于第i类中某台特定机组j*的转矩;in, is the equivalent torque of the i-type wind turbine, and its value is equivalent to the torque of a specific unit j * in the i-type;
2)、对临近额定风速区机组和高风速区机组进行等值;2) Equivalent the units in the adjacent rated wind speed area and the units in the high wind speed area;
2.1)、风速等值: 2.1), wind speed equivalent:
2.2)、转矩等值: 2.2), torque equivalent:
3)、根据等值建立状态空间模型3), establish a state space model according to the equivalent value
3.1)、由于模型预测控制对预测模型的精度要求不高,所以直接将风机机械转矩在给定稳定运行点进行一阶泰勒展开,将Tt在稳定运行点附近部分线性化近似得到:3.1) Since the model predictive control does not have high requirements on the accuracy of the predictive model, the mechanical torque of the fan is directly The first-order Taylor expansion is performed at a given stable operating point, and the partial linearization of T t near the stable operating point is approximated to obtain:
其中,δ表示变量与其稳定运行点的偏差,ρ是空气密度,R是风轮半径,v是风速,Cp(λ,β)是功率利用系数,β是桨距角,λ是叶尖速比,ωt是风机转速,Tt可看作关于风机转速ωt、桨距角β和风速v的函数,上划线表示其稳态运行点;where δ represents the deviation of the variable from its stable operating point, ρ is the air density, R is the rotor radius, v is the wind speed, C p (λ, β) is the power utilization coefficient, β is the pitch angle, and λ is the tip speed Compare, ω t is the fan speed, T t can be regarded as a function of the fan speed ω t , the pitch angle β and the wind speed v, the overline represents its steady-state operating point;
3.2)、建立状态空间模型3.2), establish a state space model
y=δPg=Cxy=δP g =Cx
其中,d=δvin, d=δv
其中,ωg是电机转速,Tg是电磁转矩,上标*表示给定值,Ks和Bs分别表示转动轴的等值弹性系数和等值阻尼系数,Jt和Jg分别表示风机转动惯量和电机转动惯量,τg和τ分别表示机电时间常数和桨距角时间常数,η是电机效率。where ω g is the motor speed, T g is the electromagnetic torque, The superscript * represents the given value, K s and B s represent the equivalent elastic coefficient and equivalent damping coefficient of the rotating shaft, respectively, J t and J g represent the moment of inertia of the fan and motor, respectively, τ g and τ represent the electromechanical time constant and pitch angle time constant, η is the motor efficiency.
4)、再根据状态空间模型设计模型预测控制器,其设计流程为:4), and then design the model predictive controller according to the state space model, and its design process is:
4.1)、将状态空间模型离散化,得到:4.1), discretize the state space model to get:
x(k+1)=A′x(k)+Bu′u(k)+Bd′d(k)x(k+1)=A'x(k)+B u 'u(k)+B d 'd(k)
y(k+1)=C′x(k)y(k+1)=C′x(k)
4.2)、设计优化目标函数及约束条件4.2), design optimization objective function and constraints
优化目标函数为: The optimization objective function is:
约束条件为: The constraints are:
其中,nc,np分别表示控制时域和预测时域,QP,QR,QS分别表示权重系数,分别表示第i类风电机组电磁转矩和桨距角的最大值,且分别表示第i类风电机组电磁转矩给定值与桨距角给定值在两个采样时刻之差,分别表示第i类风电机组的电磁转矩给定值和桨距角给定值,已知采样时间和变化率约束两者相乘则可计算得到 分别表示第i类风电机组电磁转矩变化率的最小值和最大值,桨距角变化率的最小值和最大值。Among them, n c , n p represent the control time domain and prediction time domain, respectively, QP , QR , QS represent the weight coefficients, respectively, respectively represent the maximum value of electromagnetic torque and pitch angle of the i-th type wind turbine, and respectively represent the difference between the given value of electromagnetic torque and the given value of pitch angle of the i-th type of wind turbine at two sampling times, Respectively represent the given value of electromagnetic torque and given value of pitch angle of the i-th type wind turbine, and the sampling time and change rate constraints are known Multiplying the two can calculate Represent the minimum and maximum value of the electromagnetic torque change rate and the minimum and maximum value of the pitch angle change rate of the i-th type of wind turbine.
三、机组间有功参考修定值分配3. Allocation of active power reference correction value among units
为保证相似运行状态的机组间分配的公平性,将由模型预测控制器得到的每类机组有功参考值的修定值按照单台风电机组在该类风机机组中的出力比例分配给单台风电机组,使每台风电机组分配到输出功率值 In order to ensure the fairness of allocation among units with similar operating states, the revised value of the active power reference value of each type of units obtained by the model predictive controller is used. According to the output ratio of a single wind turbine in this type of wind turbine, it is allocated to a single wind turbine, so that each wind turbine is assigned to the output power value
图2是现有的PI控制方法系统框图。FIG. 2 is a system block diagram of a conventional PI control method.
该方法仅根据电网调度值与公共链接点测量得到的风电场有功输出之间的偏差,采取比例-积分控制方式进行控制,然后使用比例分配方式将有功参考值分配给各台机组。该方法没有考虑机组间的差异,在调节过程中没有优先级,所有机组的有功参考值会随电网调度值的波动而波动,会导致部分机组,尤其是临近额定风速区机组的桨距角频繁动作,势必延长响应时间,既不利于风电场快速跟踪电网调度值,也有损机组寿命,增加风电场成本。In this method, the proportional-integral control method is adopted to control only the deviation between the grid dispatch value and the active power output of the wind farm measured at the public link point, and then the active power reference value is distributed to each unit using the proportional distribution method. This method does not consider the differences between units, and there is no priority in the adjustment process. The active power reference value of all units will fluctuate with the fluctuation of the grid dispatch value, which will lead to frequent pitch angles of some units, especially units near the rated wind speed area. The action will inevitably prolong the response time, which is not conducive to the fast tracking of the grid dispatch value of the wind farm, but also damages the life of the unit and increases the cost of the wind farm.
实施例Example
为了说明本发明的技术效果,将本发明的有功功率控制方法应用于一个每台容量为5MW,拥有14台风电机组的风电场进行仿真验证。并假设风电场测量到的风速情况如图3所示,根据仿真所使用的风机参数(切入风速vin=3m/s,额定风速vrated=11.4m/s,切出风速vout=25m/s)将风速划分5个子类,如表1所示,风电场内14台机组按初始风速划归到5个子类中,机组分类情况如表2所示。以电网调度值变化50MW-42MW-36MW-40MW-45MW-52MW为例说明本发明方法的有效性。In order to illustrate the technical effect of the present invention, the active power control method of the present invention is applied to a wind farm with a capacity of 5MW each and 14 wind turbines for simulation verification. And assuming that the wind speed measured by the wind farm is shown in Figure 3, according to the fan parameters used in the simulation (cut-in wind speed v in = 3m/s, rated wind speed v rated = 11.4m/s, cut-out wind speed v out = 25m/ s) Divide the wind speed into 5 sub-categories, as shown in Table 1. The 14 units in the wind farm are classified into 5 sub-categories according to the initial wind speed. The classification of units is shown in Table 2. The effectiveness of the method of the present invention is illustrated by taking the grid dispatch value variation of 50MW-42MW-36MW-40MW-45MW-52MW as an example.
表1按风速划分5个子类Table 1 is divided into 5 sub-categories by wind speed
表2风电场内机组分类情况Table 2 Classification of units in wind farms
图4是跟踪电网调度值效果对比图。从图4可以看出,风电场按本发明的方法进行有功功率控制,响应速度较现有的PI控制方法更快。定义风电场有功功率达到并随后稳定在电网调度值±5%的误差带范围内的时间为调节时间,本发明的该项指标为1.27s,而PI控制方法该项指标为2.4s,本发明较现有方法在快速性上提高47.2%。Figure 4 is a comparison diagram of the effect of tracking the dispatch value of the power grid. It can be seen from FIG. 4 that the wind farm performs active power control according to the method of the present invention, and the response speed is faster than that of the existing PI control method. The time for the active power of the wind farm to reach and then stabilize within the error band of the grid dispatch value ±5% is defined as the adjustment time, the index of the present invention is 1.27s, and the index of the PI control method is 2.4s. Compared with the existing method, the speed is improved by 47.2%.
图5是近额定风速区机组桨距角变化对比图。从图5可以看出,风电场按本发明的方法进行有功功率控制,给处于临近额定风速区机组中的每台机组分配的有功参考值始终为5MW,使得其桨距角始终保持在0°,有利于风电场快速响应;而PI控制方法没有考虑该类机组对风速扰动的敏感性特征,不断地给其分配功率参考值,造成桨距角频繁变化,不利于风电场快速响应。Figure 5 is a comparison diagram of the pitch angle changes of the units in the near-rated wind speed area. It can be seen from Figure 5 that the active power control of the wind farm is carried out according to the method of the present invention, and the active power reference value allocated to each unit in the adjacent rated wind speed area is always 5MW, so that its pitch angle is always kept at 0° , which is conducive to the rapid response of the wind farm; while the PI control method does not consider the sensitivity characteristics of such units to wind speed disturbances, and constantly assigns power reference values to them, resulting in frequent changes in the pitch angle, which is not conducive to the rapid response of the wind farm.
图6是机组有功出力变化对比图。从图6可以看出两种方法下,五类机组的功率变化趋势。以其在六个稳定运行的采样时刻的功率值来描述。六个时刻分别为5s,15s,25s,35s,45s,55s,65s。每类的前三根柱状图描述了风电场跟踪逐渐下降的电网调度功率时(电网调度值从初始50MW突变至42MW再突变至36MW),每类机组的出力情况。当调度值从初始50MW突变至42MW时,使用本发明进行有功功率控制,低风速区的第一类机组和第二类机组率先降至最小值,因为尚未满足降功率量,高风速区处于最高风速的第五类机组参与到调节中,而第五类机组降至最小功率后仍然不能满足调节量,随后高风速区处于次高风速的第四类机组也降低出力参与到调节中,此过程可以通过每类机组的第一根到第二根柱状图看出;当电网调度值从42MW突变至36MW时,由于第一、二和五类机组已经全部降至设定的最小功率值,只有第四类机组还有调节余量,第四类机组继续减少出力,完成跟踪目标,此过程可以从每类机组第二根到第三根柱状图看出。与降功率类似,功率升高过程中,按照本发明方法进行有功功率控制,每类机组仍然按照预设的优先级顺序参与到调节中,即第一类,第二类,第五类,第四类机组依次动作,符合预期效果。而使用PI控制方法的每类机组的有功输出都会随着电网调度值的变化而不断变化,系统稳定性欠佳。Figure 6 is a comparison diagram of the change of the active power output of the unit. From Figure 6, it can be seen that the power variation trend of the five types of units under the two methods. It is described by its power value at six sampling instants of stable operation. The six moments are 5s, 15s, 25s, 35s, 45s, 55s, 65s. The first three bar charts of each type describe the output of each type of units when the wind farm tracks the gradually decreasing grid dispatch power (the grid dispatch value suddenly changes from the initial 50MW to 42MW to 36MW). When the dispatch value suddenly changes from the initial 50MW to 42MW, the present invention is used to control the active power, and the first and second types of units in the low wind speed area take the lead to reduce to the minimum value, because the power reduction amount has not yet been met, and the high wind speed area is at the highest The fifth category of wind speed units participated in the adjustment, but the fifth category of units still could not meet the adjustment amount after the minimum power was reduced, and then the fourth category of units with the second highest wind speed in the high wind speed area also reduced their output and participated in the adjustment. This process It can be seen from the first to second bar graphs of each type of unit; when the grid dispatch value suddenly changes from 42MW to 36MW, since the first, second and fifth types of units have all dropped to the set minimum power value, only The fourth type of unit still has an adjustment margin. The fourth type of unit continues to reduce output and completes the tracking target. This process can be seen from the second to third bar graphs of each type of unit. Similar to power reduction, in the process of power increase, active power control is performed according to the method of the present invention, and each type of unit still participates in the adjustment according to the preset priority order, that is, the first type, the second type, the fifth type, the first type. The four types of units act in sequence, which is in line with the expected effect. However, the active power output of each type of unit using the PI control method will change continuously with the change of the grid dispatch value, and the system stability is not good.
尽管上面对本发明说明性的具体实施方式进行了描述,以便于本技术领域的技术人员理解本发明,但应该清楚,本发明不限于具体实施方式的范围,对本技术领域的普通技术人员来讲,只要各种变化在所附的权利要求限定和确定的本发明的精神和范围内,这些变化是显而易见的,一切利用本发明构思的发明创造均在保护之列。Although the illustrative specific embodiments of the present invention have been described above to facilitate the understanding of the present invention by those skilled in the art, it should be clear that the present invention is not limited to the scope of the specific embodiments. For those skilled in the art, As long as various changes are within the spirit and scope of the present invention as defined and determined by the appended claims, these changes are obvious, and all inventions and creations utilizing the inventive concept are included in the protection list.
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