Order reducing method of higher-order mathematical model for water turbine regulating system

A technology for adjusting systems and mathematical models, which is applied in the fields of electrical digital data processing, special data processing applications, instruments, etc., can solve the problems that the simplified model cannot truly reflect the original system, and the mathematical model has not been established, so as to achieve reliable analysis of adjustment quality, The effect of accurate and reliable de-escalation results and simple implementation

Active Publication Date: 2015-03-11
WUHAN UNIV
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Problems solved by technology

However, the disadvantage of this approach is that a complete mathematical model including all sub-links of the hydra...

Method used

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  • Order reducing method of higher-order mathematical model for water turbine regulating system
  • Order reducing method of higher-order mathematical model for water turbine regulating system
  • Order reducing method of higher-order mathematical model for water turbine regulating system

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Embodiment Construction

[0048] The present invention will be further described below in conjunction with the accompanying drawings.

[0049] Table 1 shows the calculation results of the pole distribution for a turbine regulating system of a hydropower station with an upstream surge chamber scheme. where: n f =F / F th is the area magnification factor of the surge chamber, F th is the critical stable sectional area of ​​the surge chamber.

[0050] Table 1

[0051]

[0052]

[0053] It can be seen from Table 1 that there is always a pair of conjugate complex poles in the system (s 4 , s 5 ), the absolute value of its real part is much smaller than that of the other three poles, indicating that it is closer to the imaginary axis and is the dominant pole of the system; the other three poles (s 1 , s 2 , s 3 ) can be 3 real poles, or 1 real pole and 1 pair of conjugate complex poles, all of which are non-dominant poles of the system.

[0054] Delete the highest order term a in the denominator...

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Abstract

The invention relates to an order reducing method of a higher-order mathematical model for a water turbine regulating system. The order reducing method comprises the following steps: a. simplifying the highest-order term of a system denominator, and achieving primary order reduction of the system to obtain a primary lower-order equivalent system formula; b. from the angle of fluctuation superposition, transforming the primary lower-order equivalent system formula into a form that two second-order subsystems are added; c. performing an Laplace inverse transform to obtain a unit rotating speed response wave equation of the primary lower-order equivalent system of the water turbine regulating system under load step disturbance; d. performing secondary order reduction on a complete fifth-order system formula; e. performing influence factor analysis of rotating speed response regulating quality of the water turbine regulating system by using a second-order system. The order reducing method has the advantages that compared with other order reducing methods, by the method, starting from the complete fifth-order system, all parameters and influence factors of the system are contained, and the later regulating quality analysis with reliable guarantee is provided.

Description

technical field [0001] The invention relates to a method for reducing the order of a high-order mathematical model of a hydraulic turbine regulating system. Background technique [0002] In order to carry out theoretical research on the regulation quality of the hydraulic turbine regulation system, the following assumptions are usually required: (1) Neglecting the elasticity of the water body and pipe wall, rigid water hammer models are used for both the diversion tunnel and the pressure pipe; (2) The transition process of small fluctuations Using the method of local linearization of the steady-state operating point, the transfer coefficient of the water turbine is used to describe the steady-state characteristics of the water turbine; (3) The generator adopts a first-order model, and the power station operates alone (operating under an isolated power grid); (4) Neglecting the regulation The non-linear characteristics of the gearbox: saturation characteristics and speed dead...

Claims

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Application Information

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IPC IPC(8): G06F19/00
Inventor 郭文成杨建东
Owner WUHAN UNIV
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