CN110083912A - The optimal waterpower permanent magnet generator optimum design method of annual electricity generating capacity - Google Patents
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Abstract
本发明提供了一种年发电量最优的水力永磁发电机优化设计方法,该方法建立了目标水电站的水文数据库,数据库包括水头、流量、降雨量以及水位等相关统计数据;随后基于已建立数据库,对水文数据分布差异所导致的发电机输入端负载信息变化进行分析,匹配得到发电机的预运行工况;最后基于预运行工况建立多效率优化体系,利用最优化算法对多个效率的目标函数进行求解并得到关键设计参数。本利用该方法合理的选取和利用了水电领域的诸多变量对电机参数进行设计,能够同步提高水力发电机在多个水位时期的综合运行效率,且计算量小,特别适合于水力发电领域。
The present invention provides a method for optimal design of hydraulic permanent magnet generators with optimal annual power generation. The method establishes the hydrological database of the target hydropower station, and the database includes relevant statistical data such as water head, flow, rainfall and water level; then based on the established The database analyzes the changes in the load information of the generator input end caused by the difference in the distribution of hydrological data, and matches the pre-operating conditions of the generator; finally, a multi-efficiency optimization system is established based on the pre-operating conditions, and the optimization algorithm is used to optimize the efficiency of multiple efficiencies. The objective function is solved and the key design parameters are obtained. Using this method to reasonably select and utilize many variables in the field of hydropower to design motor parameters can simultaneously improve the comprehensive operating efficiency of hydroelectric generators in multiple water level periods, and the amount of calculation is small, which is especially suitable for the field of hydropower.
Description
技术领域technical field
本发明涉及水力发电优化技术领域,更具体地,涉及一种年发电量最优的水力永磁发电机优化设计方法。The invention relates to the technical field of hydraulic power generation optimization, and more specifically, relates to an optimal design method of a hydraulic permanent magnet generator with optimal annual power generation.
背景技术Background technique
发电机是水力发电系统能量转换的关键部件,发电机效率的高低直接影响到水电系统的发电量,因此效率最优化是电机设计的重要目标。电机最优化设计是利用快速发展的计算机技术为电机设计人员快速且准确的找到最佳设计参数的一种电机设计方法,电机的最优化设计方法被广泛应用于电机设计领域中,也是人们研究的热点。Generators are key components of energy conversion in hydroelectric power generation systems. The efficiency of generators directly affects the power generation of hydropower systems. Therefore, efficiency optimization is an important goal of motor design. Motor optimization design is a motor design method that uses fast-growing computer technology to quickly and accurately find the best design parameters for motor designers. The optimal design method of motors is widely used in the field of motor design and is also a research topic. hotspot.
现有的发电机的效率优化设计通常以电机的额定效率模型为目标函数,以电机性能约束为约束条件,利用最优化算法,通过不断地迭代计算求解得到目标函数的最优解,设计流程如图1所示。理论上,将所求得的最优解代入电机的设计参数中能使得电机的额定运行效率达到最大值。The efficiency optimization design of existing generators usually takes the rated efficiency model of the motor as the objective function, takes the performance constraints of the motor as the constraints, and uses the optimization algorithm to obtain the optimal solution of the objective function through continuous iterative calculations. The design process is as follows: Figure 1 shows. In theory, substituting the obtained optimal solution into the design parameters of the motor can make the rated operating efficiency of the motor reach the maximum value.
在水电领域中,由于水力发电站受地区降雨、上、下流域水流量等多方面因素影响,一年之中水库或河流的水位分布差异十分明显,水位的差异直接导致了发电机的输入端负载变化极大。在这种情况下,电机将较少时间运行于额定工况下。传统的效率最优化设计方法假设发电机持续运行于额定状态并仅对发电机的额定效率进行优化,而没有考虑输入端负载的变化对运行效率产生的重要影响,这可能导致发电机在非额定工况下的运行效率的大大降低,进一步严重降低发电机的总体运行效率、减少水电站的年发电量。In the field of hydropower, since hydropower stations are affected by various factors such as regional rainfall, water flow in upper and lower basins, etc., the water level distribution of reservoirs or rivers varies significantly in a year, and the difference in water level directly leads to the input of the generator. The load varies greatly. In this case, the motor will run less time at rated conditions. The traditional efficiency optimization design method assumes that the generator continues to operate at the rated state and only optimizes the rated efficiency of the generator, without considering the important impact of the change of the input load on the operating efficiency, which may cause the generator to operate at non-rated The greatly reduced operating efficiency under working conditions will further seriously reduce the overall operating efficiency of the generator and reduce the annual power generation of the hydropower station.
现有的水力发电用发电机设计方法没有对目标水电站进行工况预分析,没有进行负载匹配,假定发电机将长期工作于额定工况、没有考虑到水库或河流的年周期内水位分布变化对发电机的工况变化的影响,而仅仅对发电机的额定运行效率进行了最优化设计,很难适应水电站实际的多工况运行环境,将导致发电机在非额定负载运行效率的下降,进一步影响到水电站的年发电量输出。The existing generator design methods for hydroelectric power generation do not carry out pre-analysis of the working conditions of the target hydropower station, do not carry out load matching, assume that the generator will work at the rated working condition for a long time, and do not take into account the impact of changes in the water level distribution of the reservoir or river in the annual cycle. However, it is difficult to adapt to the actual multi-working condition operating environment of the hydropower station if only the rated operating efficiency of the generator is optimized, which will lead to a decrease in the operating efficiency of the generator at non-rated load, further Affect the annual power output of the hydropower station.
发明内容SUMMARY OF THE INVENTION
为了克服这一问题,本发明提供了一种年发电量最优的水力永磁发电机的优化设计方法,该方法能够同步提高水力发电机在多个水位时期的综合运行效率,且特别适合于水力发电领域。In order to overcome this problem, the present invention provides an optimal design method of a hydraulic permanent magnet generator with the best annual power generation. This method can simultaneously improve the comprehensive operating efficiency of the hydraulic generator in multiple water level periods, and is especially suitable for field of hydropower.
本发明提供了一种年发电量最优的水力永磁发电机优化设计方法,该方法包括如下步骤:The invention provides a method for optimal design of a hydraulic permanent magnet generator with optimal annual power generation, the method comprising the following steps:
S1:建立水文数据库,所述水文数据库包括年周期内的水头、流量、降雨量与水位;S1: Establish a hydrological database, the hydrological database includes the head, flow, rainfall and water level in the annual cycle;
S2:对所述水文数据库进行数据分析,将水文数据离散化以区分水文时期,所述水文时期包括枯水期、平水期和丰水期,并建立各个水文时期所映射的永磁发电机的输入功率P1~P3、输入转速ω1~ω3、时间占比系数α1~α3,进而建立水文变化与发电机效率的解析关系,从而获得各个水文时期对应的效率模型η1(X)~η3(X);S2: Perform data analysis on the hydrological database, discretize the hydrological data to distinguish the hydrological period, the hydrological period includes the dry season, the normal water period and the wet season, and establish the input power of the permanent magnet generator mapped to each hydrological period P 1 ~ P 3 , input speed ω 1 ~ω 3 , and time proportion coefficient α 1 ~α 3 , and then establish the analytical relationship between hydrological changes and generator efficiency, so as to obtain the efficiency model η 1 (X) corresponding to each hydrological period ~η 3 (X);
其中,各个水文时期所占的累计时间T1~T3决定了对应的时间占比系数α1~α3,α1~α3的计算公式(1)为:Among them, the cumulative time T 1 to T 3 occupied by each hydrological period determines the corresponding time ratio coefficients α 1 to α 3 , and the calculation formula (1) of α 1 to α 3 is:
下标i为不同水位时期系数,分别取值为1、2、3;The subscript i is the coefficient of different water level periods, and the values are 1, 2, and 3 respectively;
S3:建立永磁同步发电机的解析模型,从而利用最优化算法来迭代获取最优的设计变量X;所述解析模型的包括了多目标函数Fi(X)、约束条件Gj(X)和发电机的设计变量X,所述多目标函数Fi(X)的建立利用了时间占比系数α1~α3和效率模型η1(X)~η3(X)。S3: Establish an analytical model of the permanent magnet synchronous generator, thereby using an optimization algorithm to iteratively obtain the optimal design variable X; the analytical model includes a multi-objective function F i (X), constraint conditions G j (X) and the design variable X of the generator, the establishment of the multi-objective function F i (X) utilizes the time ratio coefficients α 1 ~ α 3 and the efficiency models η 1 (X) ~ η 3 (X).
在另外一个实施例中,所述步骤S1中建立的水文数据库具体是目标水库或河流水文信息的水文数据库。In another embodiment, the hydrological database established in step S1 is specifically a hydrological database of hydrological information of the target reservoir or river.
在另外一个实施例中,所述多目标函数Fi(X)具体满足下式(2):In another embodiment, the multi-objective function F i (X) specifically satisfies the following formula (2):
Fi(X)=αi*ηi(X) (2)F i (X) = α i *η i (X) (2)
其中,下标i对应不同水位时期系数,分别为1、2、3。Among them, the subscript i corresponds to the coefficients of different water level periods, which are 1, 2, and 3 respectively.
在另外一个实施例中,所述设计变量X为电机轴长L1、转子内径Rr、永磁体厚度hm、气隙宽δ、定子槽高hs、定子轭部高hy、定子齿宽wt、极弧系数αp中的一种或多种。In another embodiment, the design variable X is motor shaft length L 1 , rotor inner diameter R r , permanent magnet thickness h m , air gap width δ, stator slot height h s , stator yoke height h y , stator teeth One or more of width w t and polar arc coefficient α p .
在另外一个实施例中,所述约束条件Gj(X)包括定子绕组电流密度J1(X)、定子槽满率Sf(X)、气隙磁密Bg(X)、定子齿部磁密Bt(X)和/或定子轭部磁密By(X)的约束函数。In another embodiment, the constraints G j (X) include stator winding current density J 1 (X), stator slot fullness S f (X), air gap magnetic density B g (X), stator tooth Constraint function of flux density B t (X) and/or stator yoke flux density By y (X).
在另外一个实施例中,所述步骤S3中的最优化算法为遗传算法。In another embodiment, the optimization algorithm in step S3 is a genetic algorithm.
本发明的优点在于,水文数据库的建立与分析方法能够帮助电机设计人员更加全面地了解拟设计发电机的工况分布,使得设计方案更具针对性。再者,最优化算法以多个水位时期的发电机运行效率为目标函数,能同步优化发电机的多负载状态的运行效率。因此,本发明具有提高水力发电站的年发电量的优点。The invention has the advantage that the establishment and analysis method of the hydrological database can help motor designers to more comprehensively understand the working condition distribution of the generator to be designed, so that the design scheme is more targeted. Furthermore, the optimization algorithm takes the operating efficiency of the generator in multiple water level periods as the objective function, and can simultaneously optimize the operating efficiency of the generator in multiple load states. Therefore, the present invention has the advantage of increasing the annual power generation of hydroelectric power plants.
附图说明Description of drawings
图1为一种电机设计参数的设计流程图;Fig. 1 is a design flow chart of a kind of motor design parameter;
图2为本发明的水利发电系统的负载匹配流程示意图;Fig. 2 is a schematic diagram of the load matching flow chart of the hydroelectric power generation system of the present invention;
图3为本发明的年发电量最优的优化设计流程示意图。Fig. 3 is a schematic diagram of an optimal design process for optimal annual power generation in the present invention.
具体实施方式Detailed ways
下面结合附图和实施例,对本发明的具体实施方式作进一步详细描述。以下实施例用于说明本发明,但不用来限制本发明的范围。The specific embodiments of the present invention will be described in further detail below with reference to the accompanying drawings and embodiments. The following examples are intended to illustrate the present invention, but not to limit the scope of the present invention.
如图2所示,其示出了一种水利发电系统的负载匹配流程示意图,由图可知,负载匹配流程包括:As shown in Figure 2, it shows a schematic diagram of a load matching process of a hydroelectric power generation system. It can be seen from the figure that the load matching process includes:
1)水文数据库建立:建立对目标水库或河流水文信息的水文数据库;其中,所述的水文数据库建立是针对目标水电站的水文信息进行数据统计与分析,具体为建立目标水电站所在水库或河流在年周期内的水头、流量、降雨量与水位等信息的综合数据库。1) Establishment of a hydrological database: establish a hydrological database for the hydrological information of the target reservoir or river; wherein, the establishment of the hydrological database is to carry out data statistics and analysis for the hydrological information of the target hydropower station, specifically to establish the reservoir or river where the target hydropower station is located. A comprehensive database of information such as head, flow, rainfall and water level during the cycle.
2)发电机负载匹配:对已建立的水文数据库进行数据分析,根据水位、流量、水头、降雨量等数据区分枯水期、平水期、丰水期,将水文数据离散化(该离散化符合水力发电领域中电机受水位差异影响的运行特点),并建立各个水文时期所映射的电机的输入功率P1~P3、输入转速ω1~ω3、时间占比系数α1~α3,进而建立水文变化与发电机效率的解析关系,从而获得各个水文时期对应的效率模型η1(X)~η3(X);2) Generator load matching: analyze the data of the established hydrological database, distinguish dry season, normal water season, and wet season according to data such as water level, flow, water head, and rainfall, and discretize the hydrological data (this discretization is in line with hydroelectric power generation). The operating characteristics of motors affected by water level differences in the field), and establish the input power P 1 ~ P 3 , input speed ω 1 ~ ω 3 , and time proportion coefficient α 1 ~ α 3 of the motor mapped in each hydrological period, and then establish Analytical relationship between hydrological changes and generator efficiency to obtain efficiency models η 1 (X) to η 3 (X) corresponding to each hydrological period;
3)最优化程序:建立永磁同步发电机的解析模型,从而利用最优化程序中的最优算法迭代获取电机设计参数,使得其能够适用于水力发电领域,且提高水力发电机在多个水位时期的综合运行效率。3) Optimization program: establish the analytical model of the permanent magnet synchronous generator, so as to use the optimal algorithm in the optimization program to iteratively obtain the motor design parameters, so that it can be applied to the field of hydropower generation, and improve the performance of the hydroelectric generator at multiple water levels. The comprehensive operating efficiency of the period.
在一个实施例中,所述的水文数据离散化为三个重要水文时期,分别为:In one embodiment, the hydrological data are discretized into three important hydrological periods, which are:
S1、枯水期:枯水期主要指水库水位Hi处于较低区间段(H0-H1),其累计时间为T1。枯水期会对发电机的输入功率P1、输入转速ω1产生影响,并将进一步影响到电机电磁性能和效率模型η1(X)。枯水期累计时间T1决定了时间占比系数α1,计算公式如(1)所示。S1. Dry season: The dry season mainly refers to the low water level H i of the reservoir (H 0 -H 1 ), and its cumulative time is T 1 . The dry season will affect the input power P 1 and input speed ω 1 of the generator, and will further affect the electromagnetic performance of the motor and the efficiency model η 1 (X). The cumulative time T 1 in the dry season determines the time proportion coefficient α 1 , and the calculation formula is shown in (1).
S2、平水期:平水期主要指水库水位Hi处于较平缓区间段(H1-H2),其累计时间为T2。枯水期会对发电机的输入功率P2、输入转速ω2产生影响,并将进一步影响到电机电磁性能和效率模型η2(X)。枯水期累计时间T2决定了时间占比系数α2,计算公式如(1)所示。S2. Flat water period: The flat water period mainly refers to that the reservoir water level H i is in a relatively gentle interval (H 1 -H 2 ), and its cumulative time is T 2 . The dry season will affect the input power P 2 and input speed ω 2 of the generator, and will further affect the electromagnetic performance of the motor and the efficiency model η 2 (X). The cumulative time T 2 in the dry season determines the time proportion coefficient α 2 , and the calculation formula is shown in (1).
S3、丰水期:枯水期主要指水库水位Hi处于较高区间段(H2-H3),其累计时间为T3。枯水期会对发电机的输入功率P3、输入转速ω3产生影响,并将进一步影响到电机电磁性能和效率模型η3(X)。枯水期累计时间T3决定了时间占比系数α3,计算公式如(1)所示。S3. Wet water season: the dry season mainly refers to the reservoir water level H i being in a relatively high interval (H 2 -H 3 ), and its cumulative time is T 3 . The dry season will affect the input power P 3 and input speed ω 3 of the generator, and will further affect the electromagnetic performance of the motor and the efficiency model η 3 (X). The cumulative time T 3 in the dry season determines the time proportion coefficient α 3 , and the calculation formula is shown in (1).
其中,下标i为不同水位时期系数,依次代表枯水期、平水期和丰水期,分别为1、2、3。Among them, the subscript i is the coefficient of different water level periods, representing the dry season, normal water season and wet season in turn, which are 1, 2, and 3, respectively.
水文信息会对电机运行性能产生重要影响,水文数据库的建立与发电机负载匹配将对下一步的发电机多效率最优化设计产生关键作用。Hydrological information will have an important impact on the performance of the motor. The establishment of the hydrological database and the matching of the generator load will play a key role in the next step of the multi-efficiency optimization design of the generator.
图3示出了一种年发电量最优的优化设计流程示意图,如图可知,年发电量最优的优化设计为多目标优化设计,设计方法包括:Figure 3 shows a schematic diagram of an optimal design process for optimal annual power generation. As can be seen from the figure, the optimal design for optimal annual power generation is a multi-objective optimization design, and the design method includes:
基于负载匹配模型建立永磁同步发电机的解析模型,以及选定最优算法(例如遗传算法)对解析模型进行多目标优化,从而获取模型的最优解,即最优的永磁同步发电机的设计变量。所述解析模型的包括了多目标函数Fi(X),约束条件Gj(X)、设计变量X。Establish the analytical model of the permanent magnet synchronous generator based on the load matching model, and select the optimal algorithm (such as genetic algorithm) to perform multi-objective optimization on the analytical model, so as to obtain the optimal solution of the model, that is, the optimal permanent magnet synchronous generator design variables. The analytical model includes a multi-objective function F i (X), a constraint condition G j (X), and a design variable X.
在一个实施案例中,智能算法选用遗传算法,发电机采用表贴式永磁同步电机结构,解析模型包括设计变量X、约束条件Gj(X)、多目标函数Fi(X)与时间占比系数αi,其中:In an implementation case, the intelligent algorithm uses the genetic algorithm, the generator adopts the structure of the surface-mounted permanent magnet synchronous motor, and the analytical model includes the design variable X, the constraint condition G j (X), the multi-objective function F i (X) and the time occupation Ratio coefficient α i , where:
S1、设计变量X:指能对电机效率产生重要影响电机结构参数,案例选用的设计变量包含:电机轴长L1、转子内径Rr、永磁体厚度hm、气隙宽δ、定子槽高hs、定子轭部高hy、定子齿宽wt、极弧系数αp。S1. Design variable X: Refers to the structural parameters of the motor that can have an important impact on the efficiency of the motor. The design variables selected in the case include: motor shaft length L 1 , rotor inner diameter R r , permanent magnet thickness h m , air gap width δ, and stator slot height h s , stator yoke height h y , stator tooth width w t , pole arc coefficient α p .
S2、约束条件Gj(X):是电机的电、磁、热、力等性能约束体现为解析模型中的因变量函数。约束条件能使算法的计算值一直处于合理的范围,由于本申请属于水电领域,故本案例中考虑的约束条件主要包括:定子绕组电流密度J1(X)、定子槽满率Sf(X)、气隙磁密Bg(X)、定子齿部磁密Bt(X)、定子轭部磁密By(X)的约束函数。S2. Constraint condition G j (X): It is the electric, magnetic, thermal, force and other performance constraints of the motor reflected in the dependent variable function in the analytical model. Constraint conditions can keep the calculated value of the algorithm within a reasonable range. Since this application belongs to the field of hydropower, the constraints considered in this case mainly include: stator winding current density J 1 (X), stator slot fullness rate S f (X ), air gap flux density B g (X), stator tooth flux density B t (X), and stator yoke flux density B y (X) constraint functions.
S3、多目标函数Fi(X)与时间占比系数αi,案例中优化程序为多目标优化,所述多目标函数Fi(X)的建立利用了时间占比系数α1~α3和效率模型η1(X)~η3(X)。具体的,如公式(2)所示,多目标函数Fi(X)分别为水电站处于枯水期、平水期、丰水期的效率模型ηi(X)与对应的时间占比系数αi的乘积,时间占比系数αi为枯水期、平水期、丰水期的时间占比系数αi,时间占比系数越大则优化的权重越高。S3. Multi-objective function F i (X) and time proportion coefficient α i , the optimization program in the case is multi-objective optimization, and the establishment of the multi-objective function F i (X) utilizes time proportion coefficient α 1 ~ α 3 and efficiency models η 1 (X) to η 3 (X). Specifically, as shown in formula (2), the multi-objective function F i (X) is the product of the efficiency model ηi(X) of the hydropower station in the dry season, normal water season, and wet season and the corresponding time proportion coefficient α i , respectively, The time proportion coefficient α i is the time proportion coefficient α i of the dry season, normal water season, and wet season. The larger the time proportion coefficient, the higher the weight of optimization.
其中多目标函数Fi(X)为:Among them, the multi-objective function F i (X) is:
Fi(X)=αi*ηi(X) (2)F i (X) = α i* η i (X) (2)
其中,下标i对应不同水位时期系数,分别为1、2、3。Among them, the subscript i corresponds to the coefficients of different water level periods, which are 1, 2, and 3 respectively.
最后,遗传算法对由设计变量、约束条件与目标函数所建立起来的多效率优化体系进行迭代计算与求解。当满足算法结束的判定条件时,结束优化程序并输出最优解。Finally, the genetic algorithm iteratively calculates and solves the multi-efficiency optimization system established by the design variables, constraints and objective functions. When the judgment condition for the end of the algorithm is met, the optimization program ends and the optimal solution is output.
本发明的方法首先建立目标水电站的水文数据库,数据库包括水头、流量、降雨量以及水位等相关统计数据;随后基于已建立数据库,对水文数据分布差异所导致的发电机输入端负载信息变化进行分析,匹配得到发电机的预运行工况;最后基于预运行工况建立多效率优化体系,利用最优化算法对多个效率的目标函数进行求解并得到关键设计参数。利用该方法合理的选取和利用了水文领域的诸多变量对电机参数进行设计,能有效地提高水电站的年发电量输出,且计算量小。The method of the present invention first establishes the hydrological database of the target hydropower station, and the database includes related statistical data such as water head, flow, rainfall, and water level; then based on the established database, the change of the load information at the input end of the generator caused by the difference in the distribution of hydrological data is analyzed. , to match the pre-operating conditions of the generator; finally, a multi-efficiency optimization system is established based on the pre-operating conditions, and the optimization algorithm is used to solve the objective functions of multiple efficiencies and obtain key design parameters. Using this method to reasonably select and utilize many variables in the hydrological field to design the motor parameters can effectively improve the annual power output of the hydropower station with a small amount of calculation.
本发明各个实施例之间的技术方案可以相互结合,但是必须是以本领域普通技术人员能够实现为基础,当技术方案的结合出现相互矛盾或无法实现时应当认为这种技术方案的结合不存在,也不在本发明要求的保护范围之内。The technical solutions of the various embodiments of the present invention can be combined with each other, but it must be based on the realization of those skilled in the art. When the combination of technical solutions is contradictory or cannot be realized, it should be considered that the combination of such technical solutions does not exist , nor within the scope of protection required by the present invention.
最后,本发明的方法仅为较佳的实施方案,并非用于限定本发明的保护范围。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。Finally, the method of the present invention is only a preferred embodiment, and is not intended to limit the protection scope of the present invention. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.
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