CN111597687A - Method for optimizing working condition efficiency of water pump of variable-speed pumped storage unit - Google Patents

Method for optimizing working condition efficiency of water pump of variable-speed pumped storage unit Download PDF

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CN111597687A
CN111597687A CN202010303478.7A CN202010303478A CN111597687A CN 111597687 A CN111597687 A CN 111597687A CN 202010303478 A CN202010303478 A CN 202010303478A CN 111597687 A CN111597687 A CN 111597687A
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water pump
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CN111597687B (en
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余向阳
高春阳
门闯社
吴罗长
南海鹏
罗兴锜
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Xian University of Technology
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Abstract

The invention discloses a method for optimizing the working condition efficiency of a water pump of a variable-speed pumped storage unit, which comprises the following steps of: firstly, drawing a flow characteristic curve and a moment characteristic curve of the water pump working condition of the water pump turbine according to model experiment data of the water pump turbine; next, the equal unit output P is calculated11On-line unit speed n11And unit flow rate Q11And finding out the output P of each equal unit11Fitting the data of the maximum efficiency point by using a least square method to obtain the optimal opening αoptAnd unit output P11Optimum unit speed n11optAnd unit output P11Finally, the function relation obtained in the steps is utilized to calculate the given unit input power P and the optimal opening α under the real-time lift HoptOptimum rotational speed noptThen the unit control system adjusts the unit to α according to the optimal openingoptAnd an optimum speed noptThe highest efficiency can be obtained by operation.

Description

Method for optimizing working condition efficiency of water pump of variable-speed pumped storage unit
Technical Field
The invention belongs to the technical field of hydropower station water turbine adjustment, and particularly relates to a method for optimizing the working condition efficiency of a water pump of a variable-speed pumped storage unit.
Background
The variable-speed pumped storage unit needs to perform efficiency optimization according to given power and real-time water head (lift). The efficiency optimization of the unit is closely related to a control strategy, and the control strategy can change along with the change of working conditions. Under the working condition of the water turbine, the water turbine speed regulator regulates the opening of the guide vane according to the difference value between the optimal rotating speed and the real-time rotating speed, and the rotor side controller controls the active output of the generator according to the difference value between the given power and the real-time power, so that the unit operates at the optimal efficiency; under the working condition of the water pump, the hydraulic turbine speed regulator regulates the opening of the guide vane according to the optimal opening, and the rotor side controller controls the active output of the generator according to the difference value of the given power and the real-time power and the difference value of the optimal rotating speed and the real-time rotating speed, so that the unit operates at the optimal efficiency. Therefore, the efficiency optimization of the working condition of the water turbine only optimizes the rotating speed, and the efficiency optimization of the working condition of the water pump needs to optimize the rotating speed and the opening degree together.
The optimization of the working condition efficiency of the water turbine of the variable-speed pumped storage unit is researched more, and the research on the working condition of the water pump is not reported. Generally, when a water pump operates under a working condition, the lift change is large, the input power of a unit needs to be adjusted due to power grid frequency modulation, and in order to ensure high-efficiency operation of the unit, the optimal opening and the optimal rotating speed of the unit need to be found according to given input power and real-time lift so as to ensure that the pumped storage unit operates at the highest efficiency, namely the working condition efficiency of the water pump of the variable-speed pumped storage unit is optimized.
Disclosure of Invention
The invention aims to provide a method for optimizing the working condition efficiency of a water pump of a variable-speed pumped storage unit, which is used for searching the optimal opening α corresponding to the highest efficiency point of the unit under the given input power P and real-time lift H of the unit according to the model experiment data of a water pump turbineoptOptimum rotational speed noptThe unit control system adjusts the unit according to the optimal opening αoptAnd an optimum speed noptOperate to ensureThe efficiency is highest when proving variable speed pumped storage unit water pump operating mode.
The technical scheme adopted by the invention is that the method for optimizing the working condition efficiency of the water pump of the variable-speed pumped storage unit is implemented according to the following steps:
step 1: utilizing data of rotating speed n, lift H, flow Q, moment M and the like in water pump turbine model experimental data and the diameter D of the rotating wheel of the model unit1Drawing a flow characteristic curve and a moment characteristic curve of the water pump working condition of the water pump turbine;
step 2: drawing equal unit output P in the flow characteristic curve of the water pump working condition of the pump turbine according to the moment characteristic curve of the water pump working condition of the pump turbine11A wire;
and step 3: finding out the output P of each equal unit11On-line unit flow rate Q11The point with the largest absolute value, i.e. the point of highest efficiency, and the corresponding optimum unit speed n11optAnd an optimum opening αopt；
Step 4, fitting the optimal opening α according to the data of the highest efficiency point in the step 3optAnd unit output P11Optimum unit speed n11optAnd unit output P11The functional relationship of (a);
and 5: calculating unit output P according to given unit input power P and lift H11Finding out the optimum opening α of the pump turbine operation by using the result of step 4optAnd an optimum unit rotation speed n11optThen according to the optimum unit rotation speed n11optCalculating the optimal rotating speed n of the pump turbineoptThen the unit control system adjusts the unit to α according to the optimal openingoptAnd an optimum speed noptThe highest efficiency can be obtained by operation.
Further, the specific implementation of step 1 is:
calculating unit rotating speed n of each working condition point11The formula of (1) is:
Figure BDA0002454903940000031
in the formula (1), the working condition n of the water turbine is greater than 0, and the working condition n of the water pump is less than 0;
calculating unit flow Q of each working condition point11The formula of (1) is:
Figure BDA0002454903940000032
in the formula (2), the working condition Q of the water turbine is greater than 0, and the working condition Q of the water pump is less than 0;
calculating unit moment M of each working condition point11The formula of (1) is:
Figure BDA0002454903940000033
and drawing a flow characteristic curve and a moment characteristic curve of the working condition of the water pump turbine according to the calculation formula.
Further, the specific implementation of step 2 is:
unit output P of each working point11Unit speed n of same working point11And unit moment M11The formula is obtained as follows:
Figure BDA0002454903940000034
drawing equal unit output P in flow characteristic curve of water pump working condition of water pump turbine11A wire.
Further, in the step 4, a least square method is adopted to fit the data of the highest efficiency point to obtain an optimal opening αoptAnd unit output P11Optimum unit speed n11optAnd unit output P11The functional relationship of (a).
Further, the specific implementation of step 5 is:
unit output P11The calculation formula of (2) is as follows:
Figure BDA0002454903940000041
in the formula (5), D is the nominal diameter of the pump turbine;
the calculation formula of the optimal rotating speed nopt is as follows:
Figure BDA0002454903940000042
in the formula (6), n11optIs the optimal unit rotating speed.
Compared with the prior art, the invention has the following beneficial effects: the method provides a variable-speed optimization method for the working condition efficiency of the water pump of the pumped storage unit so as to ensure that the pumped storage unit operates at the highest efficiency.
Drawings
FIG. 1 is a computational flow diagram of the present invention;
FIG. 2 is a flow characteristic curve of the pump condition of the pump turbine of the present invention;
FIG. 3 is a torque characteristic curve of the pump condition of the pump turbine of the present invention;
FIG. 4 is the equal unit output P of the flow characteristic curve of the pump condition of the pump turbine of the present invention11A line and an optimal efficiency point;
FIG. 5 is an optimum opening α of the present inventionoptAnd unit output P11The relationship curve of (1);
FIG. 6 is the optimum unit speed n of the present invention11optAnd unit output P11The relationship curve of (1);
in the figure, 1-equal unit output curve and 2-equal opening curve.
Detailed Description
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, the present invention is described in detail below with reference to a specific embodiment and a calculation flowchart (see fig. 1).
A method for optimizing the working condition efficiency of a water pump of a variable-speed pumped storage unit is implemented according to the following steps:
step 1: utilizing data of rotating speed n, lift H, flow Q, moment M and the like in water pump turbine model experimental data and the diameter D of the rotating wheel of the model unit1Drawing the flow characteristic curve of the water pump working condition of the pump turbine(see fig. 2) and torque characteristics (see fig. 3);
calculating unit rotating speed n of each working condition point11The formula of (1) is:
Figure BDA0002454903940000051
in the formula (1), the working condition n of the water turbine is greater than 0, and the working condition n of the water pump is less than 0.
Calculating unit flow Q of each working condition point11The formula of (1) is:
Figure BDA0002454903940000052
in the formula (2), the working condition Q of the water turbine is greater than 0, and the working condition Q of the water pump is less than 0.
Calculating unit moment M of each working condition point11The formula of (1) is:
Figure BDA0002454903940000053
step 2: drawing equal unit output P in the flow characteristic curve of the water pump working condition of the pump turbine according to the moment characteristic curve of the water pump working condition of the pump turbine11A wire;
unit output P of each working point11Unit speed n of same working point11And unit moment M11Obtaining:
Figure BDA0002454903940000061
and step 3: finding out the output P of each equal unit11On-line unit flow rate Q11The point with the largest absolute value, i.e. the point of highest efficiency, and the corresponding optimum unit speed n11optAnd an optimum opening αoptAs shown in fig. 4;
step 4, fitting the optimal opening α according to the data of the highest efficiency point in the step 3optAnd unit output P11Optimum unit speed n11optAnd unit output P11The functional relationship of (a);
as shown in FIG. 4, each point of maximum efficiency corresponds to a set of parameters (n)11opt、αopt、P11). The data of all the maximum efficiency points form a three-dimensional array, and (n) in the three-dimensional array is respectively calculated11opt、P11) And (α)opt、P11) The least square method is adopted for fitting, so that the optimal opening α can be obtainedoptAnd unit output P11(see FIG. 5), optimal unit speed n11optAnd unit output P11Functional relationships (as in FIG. 6);
and 5: calculating unit output P according to given unit input power P and real-time lift H11The optimum opening α of the pump turbine operation is found from fig. 5 and fig. 6 respectivelyoptAnd an optimum unit rotation speed n11optThen according to the optimum unit rotation speed n11optCalculating the optimal rotating speed n of the pump turbineoptThen the unit control system adjusts the unit to α according to the optimal openingoptAnd an optimum speed noptThe highest efficiency can be obtained by operation.
Unit output P11The calculation formula of (2) is as follows:
Figure BDA0002454903940000062
in the formula (5), D is the nominal diameter of the pump turbine.
Optimum speed noptThe calculation formula of (2) is as follows:
Figure BDA0002454903940000063
in the formula (6), n11optIs the optimal unit rotating speed.
While specific embodiments of the invention have been described above, it will be appreciated by those skilled in the art that this is by way of example only, and that the scope of the invention is defined by the appended claims. Various changes and modifications to these embodiments may be made by those skilled in the art without departing from the spirit and scope of the invention, and these changes and modifications are within the scope of the invention.

Claims (5)

1. A method for optimizing the working condition efficiency of a water pump of a variable-speed pumped storage unit is characterized by comprising the following steps:
step 1: utilizing data of rotating speed n, lift H, flow Q, moment M and the like in water pump turbine model experimental data and the diameter D of the rotating wheel of the model unit1Drawing a flow characteristic curve and a moment characteristic curve of the water pump working condition of the water pump turbine;
step 2: drawing equal unit output P in the flow characteristic curve of the water pump working condition of the pump turbine according to the moment characteristic curve of the water pump working condition of the pump turbine11A wire;
and step 3: finding out the output P of each equal unit11On-line unit flow rate Q11The point with the largest absolute value, i.e. the point of highest efficiency, and the corresponding optimum unit speed n11optAnd an optimum opening αopt；
Step 4, fitting the optimal opening α according to the data of the highest efficiency point in the step 3optAnd unit output P11Optimum unit speed n11optAnd unit output P11The functional relationship of (a);
and 5: calculating unit output P according to given unit input power P and lift H11Finding out the optimum opening α of the pump turbine operation by using the result of step 4optAnd an optimum unit rotation speed n11optThen according to the optimum unit rotation speed n11optCalculating the optimal rotating speed n of the pump turbineoptThen the unit control system adjusts the unit to α according to the optimal openingoptAnd an optimum speed noptThe highest efficiency can be obtained by operation.
2. The method for optimizing the operating condition efficiency of the water pump of the variable-speed pumped-storage unit according to claim 1, wherein the step 1 comprises the following specific steps:
calculating unit rotating speed n of each working condition point11The formula of (1) is:
Figure FDA0002454903930000011
in the formula (1), the working condition n of the water turbine is greater than 0, and the working condition n of the water pump is less than 0;
calculating unit flow Q of each working condition point11The formula of (1) is:
Figure FDA0002454903930000021
in the formula (2), the working condition Q of the water turbine is greater than 0, and the working condition Q of the water pump is less than 0;
calculating unit moment M of each working condition point11The formula of (1) is:
Figure FDA0002454903930000022
and drawing a flow characteristic curve and a moment characteristic curve of the working condition of the water pump turbine according to the calculation formula.
3. The method for optimizing the operating condition efficiency of the water pump of the variable-speed pumped-storage unit according to claim 1, wherein the step 2 comprises the following specific steps:
unit output P of each working point11Unit speed n of same working point11And unit moment M11The formula is obtained as follows:
Figure FDA0002454903930000023
drawing equal unit output P in flow characteristic curve of water pump working condition of water pump turbine11A wire.
4. The method for optimizing the operating condition efficiency of the water pump of the variable-speed pumped storage unit according to claim 1, wherein in the step 4, the data of the highest efficiency point is fitted by a least square method to obtain the optimal opening αoptAnd unit output P11Most preferablyPreferred unit rotational speed n11optAnd unit output P11The functional relationship of (a).
5. The method for optimizing the operating condition efficiency of the water pump of the variable-speed pumped-storage unit according to claim 1, wherein the concrete method of the step 5 comprises the following steps:
unit output P11The calculation formula of (2) is as follows:
Figure FDA0002454903930000031
in the formula (5), D is the nominal diameter of the pump turbine;
the calculation formula of the optimal rotating speed nopt is as follows:
Figure FDA0002454903930000032
in the formula (6), n11optIs the optimal unit rotating speed.
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Cited By (7)

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CN112904721A (en) * 2021-01-18 2021-06-04 武汉大学 Coordinated control method for variable-speed pumped storage unit
CN113757019A (en) * 2021-09-30 2021-12-07 中国水利水电科学研究院 Full-power variable-frequency water turbine working condition rapid active power response operation method and system
CN113757030A (en) * 2021-09-10 2021-12-07 昆明理工大学 Method and system for optimizing rotating speed and flow rate of variable-speed operation of mixed-flow turbine
CN115076020A (en) * 2022-07-07 2022-09-20 中国长江三峡集团有限公司 Method, device and equipment for optimizing water pump working condition of variable-speed pumped storage unit
CN115306693A (en) * 2022-08-04 2022-11-08 广州市百福电气设备有限公司 Control method, device and system for monitoring water pump system
CN117937535A (en) * 2023-12-20 2024-04-26 西安理工大学 Current transformer capacity selection method of doubly-fed variable-speed pumped storage unit
CN118088369A (en) * 2024-04-29 2024-05-28 西安理工大学 Power distribution method, system and medium for hydraulic short circuit mode of variable speed pumping and accumulating unit

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Cited By (9)

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Publication number Priority date Publication date Assignee Title
CN112904721A (en) * 2021-01-18 2021-06-04 武汉大学 Coordinated control method for variable-speed pumped storage unit
CN113757030A (en) * 2021-09-10 2021-12-07 昆明理工大学 Method and system for optimizing rotating speed and flow rate of variable-speed operation of mixed-flow turbine
CN113757019A (en) * 2021-09-30 2021-12-07 中国水利水电科学研究院 Full-power variable-frequency water turbine working condition rapid active power response operation method and system
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CN117937535A (en) * 2023-12-20 2024-04-26 西安理工大学 Current transformer capacity selection method of doubly-fed variable-speed pumped storage unit
CN118088369A (en) * 2024-04-29 2024-05-28 西安理工大学 Power distribution method, system and medium for hydraulic short circuit mode of variable speed pumping and accumulating unit
CN118088369B (en) * 2024-04-29 2024-07-09 西安理工大学 Power distribution method, system and medium for hydraulic short circuit mode of variable speed pumping and accumulating unit

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