CN114254571A - Machine set control rule optimization decision method under extreme working conditions of pumped storage power station - Google Patents
Machine set control rule optimization decision method under extreme working conditions of pumped storage power station Download PDFInfo
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Abstract
Description
技术领域technical field
本发明属于流体机械及能源动力技术领域,涉及抽水蓄能电站控制技术领域,更具体地,涉及一种抽水蓄能电站极端工况下机组控制规律优化决策方法。The invention belongs to the technical field of fluid machinery and energy power, and relates to the technical field of pumped-storage power station control, and more particularly, to a decision-making method for optimizing unit control laws under extreme working conditions of a pumped-storage power station.
背景技术Background technique
近年来风光等可再生间歇能源持续大量接入电网,其波动性使电网的稳定运行受到严重威胁。抽水蓄能电站作为一种重要的储能技术,是电力系统有效的、不可或缺的调节手段,其调峰填谷的独特运行特性,发挥着调节负荷、促进电力系统节能和维护电网安全稳定运行的重要功能。然而,当电网或机组发生故障时,需要及时将管道中的水流截断。在此极端工况下,水力瞬变会对机组和压力引水系统的可靠性造成极大的风险,不利于机组的安全高效稳定运行。此外,抽水蓄能电站正朝着高水头、大单机容量、复杂过水系统、超长引水管道方向发展,频繁的工况转换也使得机组更易于陷入极端工况,对抽水蓄能电站的安全稳定运行构成极大威胁。为了达到机组安全稳定运行的目的,亟需提高抽水蓄能电站在极端工况下的控制水平。In recent years, a large number of renewable intermittent energy sources such as wind and solar have been continuously connected to the power grid, and their volatility has seriously threatened the stable operation of the power grid. As an important energy storage technology, pumped storage power station is an effective and indispensable adjustment method for the power system. Its unique operating characteristics of peak regulation and valley filling play an important role in adjusting the load, promoting energy conservation of the power system and maintaining the security and stability of the power grid. important functions to run. However, when the power grid or unit fails, the water flow in the pipeline needs to be cut off in time. Under this extreme working condition, the hydraulic transient will cause great risks to the reliability of the unit and the pressure diversion system, which is not conducive to the safe, efficient and stable operation of the unit. In addition, pumped-storage power plants are developing towards high water head, large unit capacity, complex water-passing systems, and super-long water diversion pipelines. Frequent switching of working conditions also makes it easier for the units to fall into extreme working conditions, which is very important for the safety of pumped-storage power plants. Stable operation poses a great threat. In order to achieve the purpose of safe and stable operation of the unit, it is urgent to improve the control level of the pumped storage power station under extreme conditions.
有研究证明,抽水蓄能机组关闭规律对过渡过程影响极大,合理的关闭规律可以在一定范围内降低水击压力和转速峰值,获得良好的过渡过程动态品质。近年来,有人将优化算法应用于抽水蓄能电站极端工况下控制规律优化中,但是优化算法获得的结果是一组Pareto解,解集中的方案优劣关系无法比较。而且,抽水蓄能电站控制规律的选择,本质上是一个多目标多准则决策问题,需综合考虑除机组转速极值与压力极值之外的过渡过程各种动态品质以及其他定性定量因素,最终确定机组关闭规律。Studies have shown that the shut-off law of pumped storage units has a great influence on the transition process. A reasonable shut-down law can reduce the water hammer pressure and the peak speed of the rotational speed within a certain range, and obtain a good dynamic quality of the transition process. In recent years, some people have applied optimization algorithms to the optimization of control laws under extreme conditions of pumped-storage power plants, but the results obtained by the optimization algorithms are a set of Pareto solutions, and the pros and cons of the solutions in the solution set cannot be compared. Moreover, the selection of the control law of the pumped-storage power station is essentially a multi-objective and multi-criteria decision-making problem. It is necessary to comprehensively consider various dynamic qualities of the transition process and other qualitative and quantitative factors in addition to the extreme value of the unit’s speed and pressure. Determine the unit shutdown pattern.
发明内容SUMMARY OF THE INVENTION
针对现有技术的缺陷和改进需求,本发明提出了一种抽水蓄能电站极端工况下机组控制规律优化决策方法,其目的在于,考虑机组极端工况下多种控制策略各自特点及过渡过程动态品质的定性定量因素,多准则决策选择抽水蓄能电站最优控制规律,保障抽水蓄能系统安全稳定运行。In view of the defects and improvement needs of the existing technology, the present invention proposes a decision-making method for optimizing the control law of the unit under extreme working conditions of the pumped-storage power station. Qualitative and quantitative factors of dynamic quality, multi-criteria decision-making to select the optimal control law of pumped-storage power station, to ensure the safe and stable operation of pumped-storage system.
为了实现上述目的,本发明提供了一种抽水蓄能电站极端工况下机组控制规律优化决策方法,包括:In order to achieve the above purpose, the present invention provides a decision-making method for optimizing the control law of units under extreme working conditions of a pumped-storage power station, including:
(1)建立抽水蓄能电站极端工况过渡过程数学模型,输入机组控制规律,计算机组转速、蜗壳水击压力极值、尾水管水击压力极值,以机组过渡过程动态品质多目标函数为优化目标,结合改进非支配遗传算法筛选机组控制规律Pareto解集,所述改进非支配遗传算法融合拉丁超立方采样及分段线性混沌映射,嵌入自适应惩罚策略解决多重决策空间边界限制。(1) Establish a mathematical model for the transition process of the pumped storage power station under extreme conditions, input the unit control law, calculate the unit speed, the extreme value of the water hammer pressure of the volute, and the extreme value of the water hammer pressure of the draft tube, and use the multi-objective function of the dynamic quality of the unit transition process In order to optimize the objective, the Pareto solution set of the unit control law is screened by the improved non-dominated genetic algorithm, which integrates Latin hypercube sampling and piecewise linear chaotic mapping, and embeds an adaptive penalty strategy to solve the multiple decision space boundary constraints.
(2)建立抽水蓄能电站极端工况机组控制规律多准则决策层次框架,综合定性与定量指标,在机组控制规律Pareto解集中遴选最优解作为抽水蓄能电站极端工况下机组最优控制规律。(2) Establish a multi-criteria decision-making hierarchy framework for the unit control law of the pumped-storage power station under extreme working conditions, synthesizing qualitative and quantitative indicators, and select the optimal solution from the Pareto solution set of the unit control law as the optimal control of the unit under extreme working conditions of the pumped-storage power station law.
优选地,步骤(1)中所述抽水蓄能电站极端工况过渡过程数学模型包含有压过水系统、水泵水轮机、调速器及其伺服系统;所述有压过水系统包括压力管道、调压室及球阀。Preferably, in step (1), the mathematical model of the transition process under extreme working conditions of the pumped-storage power station includes a pressurized water flow system, a water pump turbine, a governor and its servo system; the pressurized water flow system includes a pressure pipeline, Surge chamber and ball valve.
所述压力管道采用连续方程与动量方程描述,并采用特征线法获得其流量与压力瞬态特性。所述连续方程与动量方程具有如下形式:The pressure pipeline is described by a continuous equation and a momentum equation, and its flow and pressure transient characteristics are obtained by a characteristic line method. The continuity equation and momentum equation have the following form:
所述调压室具有如下形式:The surge chamber has the following form:
其中,Hs和Qs分别为调压室底部压力和流量,At和Ac分别为调压室阻抗孔截面面积与调压室截面面积,Hc和HR分别为水头搞成及调压室水力损失水头,KR为阻抗孔水力损失系数,与过流方向有关。Among them, H s and Q s are the pressure and flow rate at the bottom of the surge chamber, respectively, At and A c are the cross-sectional area of the impedance hole and the cross-sectional area of the surge chamber, respectively, and H c and HR are the water head and adjustment, respectively. The hydraulic loss head of the pressure chamber, K R is the hydraulic loss coefficient of the resistance hole, which is related to the flow direction.
所述球阀,其数学表达式为:The mathematical expression of the ball valve is:
其中,A、Q分别为球阀处横截断面面积、球阀处过流流量,K是球阀过流系数,g是重力加速度。Among them, A and Q are the cross-sectional area at the ball valve, the overcurrent flow at the ball valve, K is the overflow coefficient of the ball valve, and g is the acceleration of gravity.
所述水泵水轮机,采用水泵水轮机全特性曲线作为水泵水轮机非线性插值计算,引入改进Suter变化方法处理机组全特性曲线,并采用两元三值拉格朗日插值法提高计算精度。所述Suter变化及拉格朗日插值法具有如下形式:For the pump-turbine, the pump-turbine full characteristic curve is used as the nonlinear interpolation calculation of the pump-turbine, the improved Suter variation method is introduced to process the unit's full characteristic curve, and the two-variable ternary Lagrangian interpolation method is used to improve the calculation accuracy. The Suter variation and Lagrangian interpolation method have the following form:
综合有压过水系统、水泵水轮机、调速器及其伺服系统,得到抽水蓄能电站过渡过程模型。The transition process model of the pumped-storage power station is obtained by synthesizing the pressurized water system, the pump turbine, the governor and its servo system.
优选地,步骤(1)中所述优化目标,其特征在于,包括机组转速最大上升相对值与水击压力复合极值;Preferably, the optimization objective described in step (1) is characterized in that it includes the relative value of the maximum increase in the rotational speed of the unit and the composite extreme value of the water hammer pressure;
所述机组转速最大上升相对值的计算形式为:The calculation form of the relative value of the maximum increase in the rotational speed of the unit is:
其中,n是机组台数,xi为第i台机组转速,xr,i为第i台机组额定转速;Among them, n is the number of units, x i is the rotational speed of the i-th unit, and x r,i is the rated speed of the i-th unit;
所述水击压力复合极值的计算形式为:The calculation form of the composite extreme value of the water hammer pressure is:
其中,Pvol,i、Pdra,i分别为蜗壳、尾水管水击压力值,为尾水管水击压力额定值,Iv、Id分别为蜗壳、尾水管重要度权重系数。Among them, P vol,i and P dra,i are the water hammer pressure values of the volute and draft tube, respectively, is the rated value of the water hammer pressure of the draft tube, and I v and I d are the weight coefficients of the importance of the volute and the draft tube, respectively.
优选地,步骤(1)中所述机组关闭规律,包含导叶一段直线关闭规律;导叶两段折线关闭规律;导叶球阀协联两段关闭规律;导叶延时一段直线球阀两段折线关闭规律。Preferably, the closing rule of the unit described in step (1) includes the one-stage straight-line closing rule of the guide vane; the two-stage folding-line closing rule of the guide vane; the two-stage closing rule that the guide-vane ball valve is associated with; the guide-vane delaying one-stage linear ball valve closing rule .
所述导叶一段直线关闭规律,其特征为:D1=[ti];所述导叶两段折线关闭规律,其特征为:D2=[ti-1,ti-2,yi];所述导叶球阀协联两段关闭规律,其特征为:D3=[ti-1,ti-2,yi,tbi-1,tbi-2,θi];所述导叶延时一段直线球阀两段折线关闭规律为:D3=[ti-s,ti-d,tbi-1,tbi-2,θi]。式中,i为抽水蓄能电站机组台数,ti-1,ti-2,yi分别为机组两段折线关闭规律中第一段关闭时间,第二段关闭时间及拐点,tbi-1tbi-2θi分别为机组球阀两段折线关闭规律中第一段关闭时间,第二段关闭时间及拐点。ti-s ti-d则分别为机组延时一段直线关闭的关闭时间及延迟时间。The law of closing a straight line of one section of the guide vane is characterized by: D 1 =[t i ]; the law of closing two broken lines of the guide vane is characterized by: D 2 =[t i-1 ,t i-2 ,y i ]; the guide vane ball valve is associated with two-stage closing law, characterized by: D 3 =[t i-1 , t i-2 , y i , t bi-1 , t bi-2 , θ i ]; The closing rule of the guide vane delaying one segment of linear ball valve and two segments of broken line is: D 3 =[t is , t id , t bi-1 , t bi-2 , θ i ]. In the formula, i is the number of units in the pumped-storage power station, t i-1 , t i-2 , y i are the closing time of the first stage, the closing time of the second stage and the inflection point in the two-section broken line closing rule of the unit, respectively, t bi- 1 t bi-2 θ i are the closing time of the first stage, the closing time of the second stage and the inflection point in the closing rule of the two-section broken line of the ball valve of the unit, respectively. t is t id is the closing time and delay time for the unit to delay a straight line closing, respectively.
优选地,步骤(1)中所述改进非支配遗传算法,包括以下步骤:Preferably, the improved non-dominated genetic algorithm described in step (1) includes the following steps:
(1.1)设定粒子种群的规模N,最大迭代次数T,当前迭代次数t,混沌变异条件Tchaotic,决策空间维度D,交叉重组概率Pc,多项式变异概率Pm;(1.1) Set the size N of the particle population, the maximum iteration number T, the current iteration number t, the chaotic mutation condition T chaotic , the decision space dimension D, the cross-recombination probability P c , and the polynomial mutation probability P m ;
(1.2)执行拉丁超立方采样策略初始化粒子种群,将D维决策空间均匀划分为N个不交叠的等间隔区域,从每个维度每个等间隔区域中随机选取一个点作为粒子决策变量,生成N个初始化粒子,作为父代粒子群P;(1.2) Execute the Latin hypercube sampling strategy to initialize the particle population, divide the D-dimensional decision space into N non-overlapping equally spaced regions, and randomly select a point from each equally spaced region in each dimension as the particle decision variable, Generate N initialized particles as the parent particle swarm P;
(1.3)依据当前迭代循环内可行解与不可行解的数量关系,执行自适应惩罚策略,计算修正后的优化目标值;所述自适应惩罚策略具有如下形式:(1.3) According to the quantitative relationship between feasible solutions and infeasible solutions in the current iteration loop, implement an adaptive penalty strategy, and calculate the revised optimization target value; the adaptive penalty strategy has the following form:
其中,fm(Xi(t))为第i个粒子的第m优化目标值,p(Xi(t))是添加在粒子上的惩罚函数;所述惩罚函数具有两个惩罚因子M(Xi(t))、N(Xi(t)),其计算形式为:Among them, f m (X i (t)) is the m-th optimization target value of the i-th particle, and p(X i (t)) is the penalty function added to the particle; the penalty function has two penalty factors M (X i (t)), N(X i (t)), the calculation form is:
p(Xi(t))=(1-rf)M(Xi(t))+rfN(Xi(t))p(X i (t))=(1-r f )M(X i (t))+r f N(X i (t))
其中,为第i个粒子违反约束的总和,分别为粒子种群中可行解的最大最小优化目标值,rf为可行解在粒子种群的数量关系;in, is the sum of constraint violations for the ith particle, are the maximum and minimum optimization objective values of feasible solutions in the particle population, respectively, and r f is the quantitative relationship of feasible solutions in the particle population;
(1.4)执行非支配排序,通过锦标赛选择、交叉重组以及多项式变异等策略由父代粒子群P生成子代粒子群C,计算子代粒子群C内粒子的优化目标值;(1.4) Execute non-dominated sorting, generate child particle swarm C from parent particle swarm P through strategies such as tournament selection, cross-recombination and polynomial mutation, and calculate the optimal target value of particles in child particle swarm C;
(1.5)判断当前迭代次数t是否大于混沌变异条件Tchaotic,若满足,执行步骤(1.7),否则转入步骤(1.7);(1.5) Determine whether the current iteration number t is greater than the chaotic mutation condition T chaotic , if so, execute step (1.7), otherwise go to step (1.7);
(1.6)执行分段线性混沌映射,所述分段线性混沌映射,其计算形式为:(1.6) Execute a piecewise linear chaotic map, the calculation form of the piecewise linear chaotic map is:
其中,p∈(0,0.5)为控制参数,xi∈(0,1)为数字混沌伪随机序列;Among them, p∈(0, 0.5) is the control parameter, and x i ∈(0,1) is the digital chaotic pseudo-random sequence;
(1.7)融合父代粒子群P与子代粒子群C,形成家族粒子群Ω,以非支配排序及拥挤度为判断依据,从家族粒子群Ω中选择N个优选粒子组成精英档案集E;所述优选粒子在被选择时遵循以下原则:首先从家族粒子群Ω中非支配排序等级最高的粒子中选择,当该等级具有的粒子数大于N时,以粒子的拥挤度为优选依据,选择较小拥挤度的粒子放入精英档案集E,若非支配排序等级最高的粒子群小于N,则从次一级非支配排序等级的粒子中选择,直到精英档案集E包含有N个优选粒子;(1.7) Integrate the parent particle swarm P and the child particle swarm C to form a family particle swarm Ω, and select N preferred particles from the family particle swarm Ω to form an elite file set E based on the non-dominated sorting and crowding degree; The preferred particles are selected according to the following principles: first, they are selected from the particles with the highest non-dominant ranking in the family particle group Ω. When the number of particles in this rank is greater than N, the crowding degree of the particles is used as the preferred basis to select Particles with a smaller crowding degree are put into the elite file set E. If the particle swarm with the highest non-dominant ranking is less than N, it is selected from the particles of the next non-dominant ranking until the elite file set E contains N preferred particles;
(1.8)判断当前迭代次数t是否小于最大迭代次数T,如满足则跳出循环,以当前精英档案集R作为Pareto解集;否则,当前迭代次数t=t+1,以当前精英档案集R作为下次循环的父代粒子群P,进入步骤(1.3)。(1.8) Determine whether the current number of iterations t is less than the maximum number of iterations T, if so, jump out of the loop and take the current elite archive set R as the Pareto solution set; otherwise, the current iteration number t=t+1, take the current elite archive set R as the Pareto solution set The parent particle swarm P of the next cycle goes to step (1.3).
优选地,步骤(2)包含如下子步骤:Preferably, step (2) comprises the following substeps:
(2.1)以直觉模糊集(x|μx,νx,πx)为判断基底,由底至上逐层比较决策层次框架,形成直觉模糊层次判断矩阵R;其中直觉模糊值μx,νx,πx分别为隶属度、非隶属度、犹豫度;(2.1) Take the intuitionistic fuzzy set (x|μ x , ν x , π x ) as the judgment base, compare the decision-making hierarchy layer by layer from bottom to top, and form the intuitionistic fuzzy hierarchical judgment matrix R; where the intuitionistic fuzzy values μ x , ν x , π x are membership degree, non-membership degree and hesitation degree, respectively;
(2.2)对直觉模糊层次判断矩阵R进行一致性检验,满足一致性检验的判断矩阵被认为符合判断一致性,转入步骤(2.4),否则转入步骤(2.3);(2.2) Consistency test is carried out on the judgment matrix R of the intuitionistic fuzzy hierarchy, and the judgment matrix satisfying the consistency test is considered to be consistent with the judgment consistency, and then go to step (2.4), otherwise, go to step (2.3);
(2.3)修改直觉模糊层次判断矩阵,计算直觉模糊层次判断矩阵的完全一致性矩阵Rp,选取控制参数σ,融合R与Rp得到多次重复上述步骤直至获得满足一致性的判断矩阵;(2.3) Modify the intuitionistic fuzzy hierarchical judgment matrix, calculate the complete consistency matrix R p of the intuitionistic fuzzy hierarchical judgment matrix, select the control parameter σ, and fuse R and R p to get Repeat the above steps several times until a judgment matrix satisfying consistency is obtained;
(2.4)融合各层直觉模糊层次判断矩阵,得到每个方案的直觉模糊集,计算方案优选权重ρ;所述优选权重,其计算形式为:ρ(x)=0.5(1+πx)(1-μx);具有较小ρ值的方案具有更高的优越级,选择具有最小优选权重ρ的方案作为抽水蓄能电站极端工况下机组最优控制规律。(2.4) Integrate the intuitionistic fuzzy hierarchical judgment matrix of each layer to obtain the intuitionistic fuzzy set of each scheme, and calculate the optimal weight ρ of the scheme; the calculation form of the optimal weight is: ρ(x)=0.5(1+π x )( 1-μ x ); the scheme with a smaller ρ value has a higher superiority level, and the scheme with the smallest preferred weight ρ is selected as the optimal control law of the unit under extreme conditions of the pumped-storage power station.
优选地,步骤(1.3)中可行解与不可行解,其特征为:若粒子违反多重决策空间边界限制,则将该粒子划分为不可行解,反之则划分为可行解。所述多重决策空间边界限制包含转速限制、蜗壳及球阀压力限制、尾水管真空度限制、导叶及球阀操作速度限制。Preferably, the feasible solution and the infeasible solution in step (1.3) are characterized in that: if the particle violates the multiple decision space boundary constraints, the particle is classified as an infeasible solution, otherwise, it is classified as a feasible solution. The multiple decision space boundary constraints include speed limit, volute and ball valve pressure limit, draft tube vacuum limit, guide vane and ball valve operating speed limit.
所述上升转速限制,具有如下形式:(xi,max-xi,r)/xi,r≤45%,其中,xi,max为第i台机组转速最大值,xi,r为第i台机组转速额定值;The rising speed limit has the following form: (x i,max -x i,r )/x i,r ≤45%, where x i,max is the maximum speed of the ith unit, and x i,r is The speed rating of the i-th unit;
所述蜗壳及球阀水压力限制,具有如下形式:其中,Pvol,i为第i台机组蜗壳水击压力值,为第i台机组蜗壳水击压力初始值,hn为工作水头,为蜗壳水击压力限制值;The water pressure limitation of the volute and the ball valve has the following forms: Among them, P vol,i is the water hammer pressure value of the volute casing of the i-th unit, is the initial value of the volute water hammer pressure of the i-th unit, h n is the working water head, is the water hammer pressure limit value of the volute;
所述尾水管真空度限制,具有如下形式:其中,Pdra,i为第i台机组尾水管水击压力值,为第i台机组尾水管水击压力初始值,hn为工作水头,为尾水管水击压力限制值;The limit of the vacuum degree of the draft tube has the following form: Among them, P dra,i is the water hammer pressure value of the draft tube of the i-th unit, is the initial value of the water hammer pressure of the draft tube of the i-th unit, h n is the working head, is the limit value of the water hammer pressure of the draft pipe;
所述导叶及球阀操作速度限制,具有如下形式:其中,ΔY为导叶关闭角度,Tsimu为单位仿真步长。Ymax为导叶最大开度,为导叶最快关闭时间,Δθ为球阀关闭角度,θmax为球阀最大开度,为球阀最快关闭时间。The operating speed limit of the guide vane and the ball valve has the following forms: Among them, ΔY is the closing angle of the guide vane, and T simu is the unit simulation step size. Y max is the maximum opening of the guide vane, is the fastest closing time of the guide vane, Δθ is the closing angle of the ball valve, θ max is the maximum opening of the ball valve, The fastest closing time for the ball valve.
总体而言,通过本发明所构思的以上技术方案与现有技术相比,能够取得下列有益效果:In general, compared with the prior art, the above technical solutions conceived by the present invention can achieve the following beneficial effects:
(1)本发明提供的抽水蓄能电站极端工况控制规律优化决策方法,嵌入了改进的多目标非支配遗传算法,综合考虑抽水蓄能电站极端工况下机组转速及压力极值的多个过渡过程关键目标,将控制规律的多重准则纳入决策评价依据中,由所述方法可解得极端工况下机组最优控制规律,可应用于工程实际,获得优良的过渡过程动态品质。(1) The optimal decision-making method for extreme operating conditions of the pumped-storage power station provided by the present invention embeds an improved multi-objective non-dominated genetic algorithm, and comprehensively considers multiple extreme values of unit speed and pressure under extreme operating conditions of the pumped-storage power station. The key objective of the transition process is to incorporate multiple criteria of the control law into the decision-making evaluation basis. The method can solve the optimal control law of the unit under extreme working conditions, which can be applied to engineering practice and obtain excellent dynamic quality of the transition process.
(2)本发明提供的改进非支配遗传算法,融合拉丁超立方采样机分段线性混沌映射,嵌入自适应惩罚策略。在算法初始化阶段采用拉丁超立方采样策略,在决策空间中均匀随机生成初始化粒子种群;在算法迭代中后期采用分段线性混沌映射机制,驱使粒子跳出局部最优范围,搜索决策空间中其他区域;所提出的自适应惩罚策略,充分利用当前迭代下的可行解与不可行解比例关系及粒子所蕴含的信息,在算法初期侧重于找到更多的可行解,在算法后期侧重于找到更优解。(2) The improved non-dominated genetic algorithm provided by the present invention integrates the piecewise linear chaotic map of the Latin hypercube sampling machine, and embeds an adaptive penalty strategy. In the initial stage of the algorithm, the Latin hypercube sampling strategy is used to generate the initialized particle population uniformly and randomly in the decision space; in the later stage of the algorithm iteration, the piecewise linear chaotic mapping mechanism is used to drive the particles to jump out of the local optimal range and search other areas in the decision space; The proposed adaptive penalty strategy makes full use of the proportional relationship between feasible solutions and infeasible solutions under the current iteration and the information contained in the particles, focusing on finding more feasible solutions in the early stage of the algorithm, and focusing on finding better solutions in the later stage of the algorithm. .
(3)将直觉模糊层次分析法引入到多准则决策框架中,直觉模糊值可充分反映决策者对目标的重要度量,包含了决策者的肯定、否定与犹豫,更符合决策实际。(3) The intuitionistic fuzzy AHP is introduced into the multi-criteria decision-making framework. The intuitionistic fuzzy value can fully reflect the decision-maker's important measure of the goal, including the decision-maker's affirmation, negation and hesitation, which is more in line with the decision-making reality.
(4)本发明构建的抽水蓄能电站极端工况多准则决策层次框架充分考虑了抽水蓄能电站过渡过程中动态品质及控制规律的复杂性与安全性,所得结果更全面更综合。(4) The multi-criteria decision-making hierarchy framework for extreme working conditions of the pumped-storage power station constructed by the present invention fully considers the complexity and safety of the dynamic quality and control laws in the transition process of the pumped-storage power station, and the obtained results are more comprehensive and comprehensive.
附图说明Description of drawings
图1为本发明实施例公开的一种抽水蓄能电站极端工况下机组控制规律优化决策方法的流程示意图;FIG. 1 is a schematic flowchart of a method for optimizing the control law of units under extreme working conditions of a pumped-storage power station disclosed in an embodiment of the present invention;
图2为本发明实施例公开的改进非支配遗传算法的流程示意图;2 is a schematic flowchart of an improved non-dominated genetic algorithm disclosed in an embodiment of the present invention;
图3为本发明实施例公开的多准则决策流程示意图;3 is a schematic diagram of a multi-criteria decision-making process disclosed in an embodiment of the present invention;
图4为本发明实施例公开的抽水蓄能电站极端工况控制规律多准则决策层次框架;FIG. 4 is a multi-criteria decision-making hierarchy framework for extreme working conditions of a pumped-storage power station disclosed in an embodiment of the present invention;
图5为本发明实施例公开的多准则决策准则层直觉模糊权重;5 is a multi-criteria decision-making criterion layer intuitionistic fuzzy weight disclosed in an embodiment of the present invention;
图6为本发明实施例公开的相继甩负荷下机组优选控制规律机组过渡过程,(a)为第一台机组转速,(b)为第二台机组转速,(c)为第一台机组蜗壳压力值,(d)为第二台机组蜗壳压力值,(e)为第一台机组尾水管真空度,(f)为第二台机组尾水管真空度。Fig. 6 is the transition process of the optimal control law of the units under the successive load rejection disclosed in the embodiment of the present invention, (a) is the rotational speed of the first unit, (b) is the rotational speed of the second unit, and (c) is the worm gear of the first unit Shell pressure value, (d) is the volute pressure value of the second unit, (e) is the vacuum degree of the draft tube of the first unit, and (f) is the vacuum degree of the draft tube of the second unit.
具体实施方式Detailed ways
为了使本发明的目的,技术方案及优点更加清楚明白,以下结合附图及实施例,对本发明进行进一步详细的说明。应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。此外,下面所描述的本发明各个实施方式中所涉及到的技术特征只要彼此之间未构成冲突就可以互相组合。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, but not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.
本发明提供的一种抽水蓄能电站极端工况下机组控制规律优化决策方法,其目的在于优化抽水蓄能电站极端工况下机组关闭规律,降低抽水蓄能电站极端工况下运行的安全风险。The invention provides a decision-making method for optimizing the control law of units under extreme working conditions of a pumped-storage power station. .
如图1所示为本发明实施例公开的一种抽水蓄能电站极端工况下机组控制规律优化决策方法的流程示意图,在图1所示的方法中,包括以下步骤:FIG. 1 is a schematic flowchart of a method for optimizing the control law of units under extreme working conditions of a pumped-storage power station disclosed in an embodiment of the present invention. The method shown in FIG. 1 includes the following steps:
(1)建立抽水蓄能电站极端工况过渡过程数学模型,输入机组控制规律,计算机组转速、蜗壳水击压力极值、尾水管水机压力值,以机组过渡过程动态品质多目标函数为优化目标,结合改进非支配遗传算法筛选机组控制规律Pareto解集;(1) Establish a mathematical model of the transition process of the pumped storage power station under extreme working conditions, input the control law of the unit, and calculate the speed of the unit, the extreme value of the water hammer pressure of the volute, and the pressure value of the draft tube water machine. The dynamic quality multi-objective function of the unit transition process is as The optimization objective is combined with the improved non-dominated genetic algorithm to screen the Pareto solution set of the unit control law;
(2)建立抽水蓄能电站极端工况机组控制规律多准则决策层次框架,在机组控制规律Pareto解集中遴选最优解作为抽水蓄能电站极端工况下机组最优控制规律。(2) Establish a multi-criteria decision-making hierarchy framework for the unit control law in extreme conditions of the pumped storage power station, and select the optimal solution in the Pareto solution set of the unit control law as the optimal control law of the unit under extreme conditions of the pumped storage station.
如图2所示为本发明实施例公开的一种改进非支配遗传算法流程示意图,在图2所示的方法中,包括如下步骤:FIG. 2 is a schematic flowchart of an improved non-dominated genetic algorithm disclosed in an embodiment of the present invention. The method shown in FIG. 2 includes the following steps:
(1.1)设置优化算法基本参数,具体地,设定粒子种群的规模N,最大迭代次数T,当前迭代次数t,混沌变异条件Tchaotic,决策空间维度D,交叉重组概率Pc,多项式变异概率Pm;(1.1) Set the basic parameters of the optimization algorithm, specifically, set the size of the particle population N, the maximum iteration number T, the current iteration number t, the chaotic mutation condition T chaotic , the decision space dimension D, the cross recombination probability P c , the polynomial mutation probability P m ;
(1.2)使用拉丁超立方采样初始化粒子父代种群,具体地,将D维决策空间均匀划分为N个不交叠的等间隔区域,从每个维度每个等间隔区域中随机选取一个点作为粒子决策变量,生成N个初始化粒子,作为父代粒子群P;(1.2) Use Latin hypercube sampling to initialize the particle parent population. Specifically, the D-dimensional decision space is evenly divided into N non-overlapping equally spaced regions, and a point is randomly selected from each equally spaced region of each dimension as Particle decision variable, generating N initialized particles as the parent particle swarm P;
(1.3)执行自适应惩罚函数修正父代粒子优化目标值,具体地,依据当前迭代循环内可行解与不可行解的数量关系,计算惩罚因子施加在粒子优化目标值上;(1.3) Execute the adaptive penalty function to correct the parent particle optimization target value, specifically, according to the quantitative relationship between feasible solutions and infeasible solutions in the current iteration loop, calculate the penalty factor and apply it to the particle optimization target value;
(1.4)执行非支配排序、锦标赛选择、交叉重组、多项式变异生成子代粒子种群,计算子代粒子优化目标值;(1.4) Execute non-dominated sorting, championship selection, cross-recombination, and polynomial mutation to generate a population of offspring particles, and calculate the optimal target value of offspring particles;
(1.5)混沌判断,具体地,判断当前迭代次数t是否大于混沌变异条件Tchaotic,若满足,执行步骤(1.6),否则转入步骤(1.7);(1.5) Chaos judgment, specifically, judge whether the current iteration number t is greater than the chaotic mutation condition T chaotic , if so, execute step (1.6), otherwise go to step (1.7);
(1.6)执行分段线性混沌映射机制;(1.6) Implement piecewise linear chaotic mapping mechanism;
(1.7)融合父代子代粒子群,基于非支配序列及拥挤度距离执行快速非支配遗传排序,选择新父代粒子;(1.7) Integrate parent and child particle swarms, perform fast non-dominated genetic sorting based on non-dominated sequence and crowding degree distance, and select new parent particles;
(1.8)结束判断,具体地,判断当前迭代次数t是否小于最大迭代次数T,如满足则跳出循环,以当前解集作为Pareto解集;否则,当前迭代次数t=t+1,以当前解集作为下次循环的父代粒子群P,进入步骤(1.3)。(1.8) End judgment, specifically, judge whether the current iteration number t is less than the maximum iteration number T, if so, jump out of the loop, and use the current solution set as the Pareto solution set; otherwise, the current iteration number t=t+1, with the current solution set Set as the parent particle swarm P of the next cycle, and enter step (1.3).
如图3所示为本发明实施例公开的一种抽水蓄能电站极端工况下控制规律决策框架内的多准则决策流程。分解指标,构建多层次决策框架,具体地,将抽水蓄能电站极端工况机组控制规律决策划分为目标层、准则层、方案层。目标层为抽水蓄能电站极端工况最优控制规律;准则层包含机组最大转速上升值、蜗壳进口处最大水压力值、尾水管出口处真空压力值、球阀处最大水压力值、控制器及球阀最大油速度等定量指标与机组转速波动程度、蜗壳尾水管压力脉动程度、上下游调压室水位波动程度、控制规律操作复杂度、控制规律操作安全性等定性指标;方案层为由多目标优化算法得到的Pareto解集,多层次决策框架如图4所示。FIG. 3 shows a multi-criteria decision-making process within a control law decision-making framework of a pumped-storage power station under extreme working conditions disclosed in an embodiment of the present invention. The index is decomposed and a multi-level decision-making framework is constructed. Specifically, the decision-making of the unit control law in extreme working conditions of the pumped-storage power station is divided into the target layer, the criterion layer, and the scheme layer. The target layer is the optimal control law for extreme working conditions of the pumped storage power station; the criterion layer includes the maximum speed increase value of the unit, the maximum water pressure value at the inlet of the volute, the vacuum pressure value at the outlet of the draft tube, the maximum water pressure value at the ball valve, and the controller. Quantitative indicators such as the maximum oil velocity of the ball valve and qualitative indicators such as the fluctuation degree of the rotational speed of the unit, the fluctuation degree of the volute draft tube pressure, the fluctuation degree of the water level of the upstream and downstream surge chambers, the operational complexity of the control law, and the operational safety of the control law; The Pareto solution set obtained by the multi-objective optimization algorithm, the multi-level decision-making framework is shown in Figure 4.
在图3所示的流程中,包括以下步骤:In the process shown in Figure 3, the following steps are included:
(2.1)以直觉模糊集进行同层指标间的两两比较,具体地,以直觉模糊集(x|μx,νx,πx)为判断基底,由底至上逐层比较决策层次框架,形成直觉模糊层次判断矩阵R;(2.1) Use the intuitionistic fuzzy set to compare the indicators at the same level. Specifically, the intuitionistic fuzzy set (x|μ x , ν x , π x ) is used as the judgment base, and the decision-making hierarchy is compared layer by layer from bottom to top. Form the intuitionistic fuzzy hierarchical judgment matrix R;
(2.2)一致性检验判断,满足一致性检验的判断矩阵被认为符合判断一致性,进入步骤(2.4),否则转入步骤(2.3);(2.2) Consistency test judgment, the judgment matrix that satisfies the consistency test is considered to be consistent with the judgment, and goes to step (2.4), otherwise it goes to step (2.3);
(2.3)执行一致性修正,具体地,修改直觉模糊层次判断矩阵,计算直觉模糊层次判断矩阵的完全一致性矩阵Rp,选取控制参数σ,融合R与Rp得到多次重复上述步骤直至获得满足一致性的判断矩阵;(2.3) Perform consistency correction, specifically, modify the intuitionistic fuzzy hierarchical judgment matrix, calculate the complete consistency matrix R p of the intuitionistic fuzzy hierarchical judgment matrix, select the control parameter σ, and fuse R and R p to obtain Repeat the above steps several times until a judgment matrix satisfying consistency is obtained;
(2.4)融合各层直觉模糊层次判断矩阵,计算方案优选权重,选择具有最小优选权重的方案作为抽水蓄能电站极端工况机组最优控制规律。(2.4) Integrate the intuitionistic fuzzy hierarchical judgment matrix of each layer, calculate the optimal weight of the scheme, and select the scheme with the smallest optimal weight as the optimal control law of the units in extreme conditions of the pumped storage power station.
如图5所示为本发明实施例抽水蓄能电站极端工况多准则决策目标层直觉模糊层次权重示意图,尾水管真空度及操作安全性分别为专家最关注的定量指标及定性指标,所得直觉模糊层次排序得到的重要度也符合专家认知。Figure 5 is a schematic diagram of the intuitionistic fuzzy hierarchical weights of the multi-criteria decision-making target layer in the extreme working conditions of the pumped storage power station according to the embodiment of the present invention. The vacuum degree of the draft tube and the operational safety are the quantitative and qualitative indicators that experts are most concerned about, respectively. The importance obtained by the fuzzy hierarchical ranking is also in line with expert cognition.
将本实施例优化求解最终得到的控制规律应用在在一管双机布置形式两台机组相继进入甩负荷的工况,所得结果如图6所示,精英档案集包含40个个体,如表1所示。相继甩负荷工况控制规律节点极值与电站实际实测对比如表2所示。由图6及表2可以看到,使用本方法得到的机组最优控制规律满足调节保证计算的要求,并保留了较大的裕度,且大幅度的减小了机组转速上升值及蜗壳处水压力值,同时,有效提高了尾水管处真空度,具有良好的过渡过程动态品质。验证表明:利用本发明的抽水蓄能电站极端工况下控制规律多目标优化多准则决策方法优化决策抽水蓄能电站极端工况最优控制规律是正确有效的。The control law finally obtained by the optimization solution in this embodiment is applied to the working condition that two units enter the load shedding successively in the form of one-pipe and two-unit arrangement. The results are shown in Figure 6. The elite file set contains 40 individuals, as shown in Table 1. shown. The comparison between the node extreme value of the control law under successive load shedding conditions and the actual measurement of the power station is shown in Table 2. It can be seen from Figure 6 and Table 2 that the optimal control law of the unit obtained by this method meets the requirements of the adjustment guarantee calculation, retains a large margin, and greatly reduces the speed increase of the unit and the volute. At the same time, the vacuum degree at the draft tube is effectively improved, and the dynamic quality of the transition process is good. The verification shows that the multi-objective optimization and multi-criteria decision-making method of the control law of the present invention under extreme working conditions of the pumped-storage power station is correct and effective to optimize the decision-making of the optimal control law of the pumped-storage power station under extreme working conditions.
表1外部档案集及详细参数Table 1 External file set and detailed parameters
表2相继甩负荷工况下最优控制规律、现场实测与调保计算标准节点极值Table 2 Optimal control law, field measurement and standard node extreme value of adjustment and maintenance calculation under successive load shedding conditions
本领域的技术人员容易理解,以上所述仅为本发明的较佳实施例而已,并不用以限制本发明,凡在本发明的精神和原则之内所作的任何修改、等同替换和改进等,均应包含在本发明的保护范围之内。Those skilled in the art can easily understand that the above are only preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements and improvements made within the spirit and principles of the present invention, etc., All should be included within the protection scope of the present invention.
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