CN112067181B - Method for calculating specific rotating speed of single-stage reversible mixed-flow pump turbine - Google Patents
Method for calculating specific rotating speed of single-stage reversible mixed-flow pump turbine Download PDFInfo
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- CN112067181B CN112067181B CN202010967821.8A CN202010967821A CN112067181B CN 112067181 B CN112067181 B CN 112067181B CN 202010967821 A CN202010967821 A CN 202010967821A CN 112067181 B CN112067181 B CN 112067181B
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Abstract
The invention relates to the field of pump turbines, and discloses a method for calculating the specific rotating speed of a single-stage reversible mixed-flow pump turbine. The invention comprises the following steps: judging the working mode of the single-stage reversible mixed-flow pump turbine; if the working mode of the water turbine is adopted, acquiring the rated head value H of the working condition of the water turbinetr(ii) a According to the rated head value HtrAnd formula nsr＝488.41‑60.77Ln(Htr) Calculating the rated speed n of the single-stage reversible mixed-flow pump turbinesr(ii) a If the water pump works, acquiring the minimum pump lift value H of the working condition of the water pumppmin(ii) a According to the minimum head value HpminAnd formula nqmax＝184.37‑24.27Ln(Hpmin) Calculating the maximum specific speed n of the single-stage reversible mixed-flow pump turbine under the working condition of the water pumpqmax. The invention is suitable for single-stage reversible mixed-flow pump water turbine.
Description
Technical Field
The invention relates to the field of water pumps and turbines, in particular to a method for calculating the specific rotating speed of a single-stage reversible mixed-flow water pump and turbine.
Background
The single-stage reversible mixed-flow pump turbine is the most widely used reversible pump turbine type in pumped storage power station. The reversible pump-turbine refers to a hydraulic machine which has two working modes of a water pump and a water turbine and two rotating directions of the water pump and the water turbine and can be operated as the water pump and the water turbine, is called as the heart of a pumped storage power station, has very important function on initial investment of pumped storage power station engineering and exertion of economic benefits of the power station after operation by reasonably selecting parameters, and is one of core contents of pumped storage power station engineering design.
The specific speed of the pump turbine is a comprehensive parameter index for measuring the energy characteristic, cavitation characteristic, operation stability, economy and advancement of the pump turbine. When a single-stage reversible mixed-flow pump turbine is in a turbine working mode, the working condition rated specific speed of the turbine is generally used as a comprehensive parameter index for measuring the energy characteristic, cavitation characteristic, operation stability, economy and advancement of the pump turbine in the industry; when a single-stage reversible mixed-flow pump turbine is in a water pump working mode, the maximum specific rotating speed of the working condition of a water pump is generally used as a comprehensive parameter index for measuring the energy characteristic, the cavitation characteristic, the operation stability, the economy and the advancement of the pump turbine in the industry. The improvement of the specific rotating speed has important significance for improving the energy characteristic of the water pump turbine, reducing the unit manufacturing cost and the civil engineering investment of a factory building; but the improvement of the specific rotating speed is limited by the factors of the strength, the cavitation performance, the silt abrasion, the operation stability and the like of the pump turbine. Therefore, how to reasonably determine the specific rotating speed of the pump turbine is very important content in the engineering design of the pumped storage power station.
The current closest solution to the present invention to solve the above problems is: in order to obtain the specific speed of a single-stage reversible mixed-flow pump turbine, two estimation methods are usually adopted, namely a method I: if parameters such as water head (lift), output (input force), flow and the like of the pump turbine are the same as or close to those of the designed and manufactured pump turbine in the designed pumped storage power station project, the specific rotating speed of the pump turbine is estimated by utilizing the existing single-stage reversible mixed-flow pump turbine model parameters and the comprehensive characteristic curve. Because the estimation method is based on certain existing model data, is limited by the technical conditions at the time, and is generally difficult to carry out comprehensive and deep experimental research on the model characteristics, the specific rotating speed of the water pump turbine estimated is generally difficult to meet the requirements of new pumped storage power station engineering, particularly large and medium pumped storage power station engineering or pumped storage power station engineering with special requirements, and the new model is generally required to be developed by using new technologies such as CFD (computational fluid dynamics) and the like according to the concrete conditions and the operation requirements of the engineering; the second method comprises the following steps: and when no proper model data exists, estimating the specific rotating speed of the water pump turbine according to a statistical formula. The estimation method estimates the specific rotating speed of the pump turbine according to a statistical formula, so that the statistical formula is more at present, the parameter sample data of the single-stage reversible mixed-flow pump turbine based on each statistical formula is of the last century, or of a certain head section or within a certain specific rotating speed range, and certain limitations exist. Therefore, the first and second methods cannot meet the requirements of pumped storage power station engineering on continuous development of new technology, new materials, new processes, new structures and the like, and the specific rotating speed of the estimated single-stage reversible mixed-flow water pump turbine cannot meet the requirements of the new pumped storage power station engineering generally.
On the basis of collecting and sorting a large amount of well-operated single-stage reversible mixed-flow pump turbine data in nearly 30 years at home and abroad, the invention utilizes the principle of least square method, uses a large amount of single-stage reversible mixed-flow pump turbine parameters as sample data, and obtains a new single-stage reversible mixed-flow pump turbine specific rotating speed calculation formula through regression statistics, thereby obtaining a reasonable single-stage reversible mixed-flow pump turbine specific rotating speed calculation value to meet the engineering requirements of a new pumped storage power station.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: the method for calculating the specific rotating speed of the single-stage reversible mixed-flow pump turbine is provided, and the specific rotating speed of the single-stage reversible mixed-flow pump turbine is more reasonably calculated so as to meet the engineering requirements of a new pumped storage power station.
In order to solve the problems, the invention adopts the technical scheme that: a method for calculating the specific speed of a single-stage reversible mixed-flow pump turbine comprises the following steps:
judging the working mode of the single-stage reversible mixed-flow pump turbine;
if the working mode of the single-stage reversible mixed-flow pump water turbine is the water turbine working mode, acquiring the rated head value H of the working condition of the water turbine of the single-stage reversible mixed-flow pump water turbinetrThe rated head value HtrThe unit of (a) is m;
according to the rated head value HtrAnd the following formula (1) to calculate a single-stage reversible mixed flowWater turbine working condition rated specific speed n of pump turbinesrSaid rated specific speed nsrThe unit of (a) is m.kW,
nsr＝488.41-60.77Ln(Htr) (1)；
if the working mode of the single-stage reversible mixed-flow pump turbine is the water pump working mode, acquiring the minimum pump lift value H of the single-stage reversible mixed-flow pump turbine under the water pump working conditionpminSaid minimum head value HpminThe unit of (a) is m;
according to the minimum lift value HpminAnd the following formula (2) is used for calculating the maximum specific speed n of the water pump working condition of the single-stage reversible mixed-flow water pump turbineqmaxSaid maximum specific speed nqmaxHas the unit of m.m3/s，
nqmax＝184.37-24.27Ln(Hpmin) (2)。
The invention has the beneficial effects that: the invention collects and arranges a large amount of data of the single-stage reversible mixed-flow pump turbine which runs well in nearly 30 years at home and abroad; by utilizing a least square method, a large number of parameters of the single-stage reversible mixed-flow pump turbine are used as sample data, regression statistics is carried out to obtain a calculation formula (1) of the rated specific rotating speed of the working condition of the water turbine of the single-stage reversible mixed-flow pump turbine and a calculation formula (2) of the maximum specific rotating speed of the working condition of the water pump, the formulas (1) and (2) comprehensively consider the calculation formulas of the typical representative working condition specific rotating speed of the single-stage reversible mixed-flow pump turbine, namely the working condition rated specific rotating speed of the turbine and the maximum specific rotating speed of the pump, after a large amount of calculation and deduction work is carried out in the early stage, a more reasonable specific rotating speed calculation method is creatively summarized for the single-stage reversible mixed-flow water pump turbine, the engineering requirements of a new pumped storage power station are better met, the design quality and efficiency are improved, the cost is reduced, and powerful technical support is provided for the subsequent domestic and foreign pumped storage power station engineering construction. And the invention is applicable regardless of whether the same or similar single-stage reversible mixed-flow water pump turbine model exists or not.
Drawings
FIG. 1 is a flow chart of the present invention for calculating the specific speed of a single-stage reversible mixed-flow pump turbine.
Detailed Description
The invention is further illustrated by the following examples.
The embodiment provides a method for calculating the specific rotating speed of a single-stage reversible mixed-flow pump turbine, as shown in fig. 1, comprising the following steps:
judging the working mode of the single-stage reversible mixed-flow pump turbine;
if the working mode of the single-stage reversible mixed-flow pump water turbine is the water turbine working mode, acquiring the rated head value H of the working condition of the water turbine of the single-stage reversible mixed-flow pump water turbinetrThe rated head value HtrThe unit of (a) is m;
according to the rated head value HtrAnd the following formula (1) is used for calculating the rated specific speed n of the water turbine of the single-stage reversible mixed-flow pump turbine under the working conditionsrSaid rated specific speed nsrThe unit of (a) is m.kW,
nsr＝488.41-60.77Ln(Htr) (1)；
if the working mode of the single-stage reversible mixed-flow pump turbine is the water pump working mode, acquiring the minimum pump lift value H of the single-stage reversible mixed-flow pump turbine under the water pump working conditionpminSaid minimum head value HpminThe unit of (a) is m;
according to the minimum lift value HpminAnd the following formula (2) is used for calculating the maximum specific speed n of the water pump working condition of the single-stage reversible mixed-flow water pump turbineqmaxSaid maximum specific speed nqmaxHas the unit of m.m3/s，
nqmax＝184.37-24.27Ln(Hpmin) (2)。
At present, when the specific speed of a single-stage reversible mixed-flow pump turbine is obtained, a commonly adopted statistical estimation formula mainly comprises a water turbine working condition rated specific speed estimation formula (I)
And 2
And maximum specific speed estimation formula of water pump working condition
And iv
The following equations (1) and (2) of the embodiment of the present invention and the currently commonly used statistical estimation equations (i) to (iv) are applied to the sample data listed in table 1, respectively, to obtain the comparison between the calculation results and the square sum of the error of the calculation results, as shown in tables 2 and 3.
Table 1 several groups of sample data (Single stage reversible mixed flow pump turbine real parameter)
TABLE 2 comparison of the calculated values and errors between formula (1) of the present invention and the currently commonly used statistical estimation formulas (I) and (II)
TABLE 3 comparison of the calculated values and errors between formula (2) of the present invention and the currently commonly used statistical estimation formulas (c) and (c)
The comparison results in tables 2 and 3 show that the square sum of the calculation errors respectively obtained by the formulas (1) and (2) in the embodiment of the invention is the minimum, namely the optimum, and further the embodiment can more accurately calculate the specific rotating speed of the single-stage reversible mixed-flow water pump turbine, which indicates that the invention can better meet the engineering requirements of a new pumped storage power station.
The foregoing describes the general principles and features of the present invention and, together with the general principles of the invention, further modifications and improvements thereto, may be made without departing from the spirit and scope of the invention as set forth in the appended claims.
Claims (1)
1. The method for calculating the specific rotating speed of the single-stage reversible mixed-flow pump turbine is characterized by comprising the following steps of:
judging the working mode of the single-stage reversible mixed-flow pump turbine;
if the working mode of the single-stage reversible mixed-flow pump water turbine is the water turbine working mode, acquiring the rated head value H of the working condition of the water turbine of the single-stage reversible mixed-flow pump water turbinetrThe rated head value HtrThe unit of (a) is m;
according to the rated head value HtrAnd formula nsr＝488.41-60.77Ln(Htr) Calculating the rated speed n of the single-stage reversible mixed-flow pump turbinesrSaid rated specific speed nsrThe unit of (a) is m.kW;
if the working mode of the single-stage reversible mixed-flow pump turbine is the water pump working mode, acquiring the minimum pump lift value H of the single-stage reversible mixed-flow pump turbine under the water pump working conditionpminSaid minimum head value HpminThe unit of (a) is m;
according to the minimum lift value HpminAnd formula nqmax＝184.37-24.27Ln(Hpmin) Calculating the maximum specific speed n of the single-stage reversible mixed-flow pump turbine under the working condition of the water pumpqmaxSaid maximum specific speed nqmaxHas the unit of m.m3/s。
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