CN103034756B

CN103034756B - A kind of rotor module data creation method for generator Shafting calculation

Info

Publication number: CN103034756B
Application number: CN201210507623.9A
Authority: CN
Inventors: 杨昔科; 吴新亚; 顾守录; 胡佩俊; 张燕; 黄兆款
Original assignee: Shanghai Electric Power Generation Equipment Co Ltd
Current assignee: Shanghai Electric Power Generation Equipment Co Ltd
Priority date: 2012-11-30
Filing date: 2012-11-30
Publication date: 2015-08-05
Anticipated expiration: 2032-11-30
Also published as: CN103034756A

Abstract

The invention provides a kind of rotor module data creation method for generator Shafting calculation, with MathCAD software programming versatility calculation procedure, first calculating generator body cross sectional moment of inertia, then modularization is carried out to generator, calculate the parameters such as the moment of inertia of each segmentation module, weight, then export required various axle coefficient certificate.Method provided by the invention overcomes the deficiencies in the prior art, by the computing module of axle coefficient certificate, arrangement and the output of axle coefficient certificate can be carried out quickly and easily, reduce the error rate of data processing, the data layout being applicable to Shafting calculation can be generated fast simultaneously, avoid loaded down with trivial details manual input process.

Description

A kind of rotor module data creation method for generator Shafting calculation

Technical field

The present invention relates to a kind of rotor module data creation method for generator Shafting calculation, be applicable to the rotating machinery such as generator, exciter, belong to the technical field that generator transverse vibration of shafting force characteristic calculates and improves.

Background technology

Generator power property calculation is an important step in generator designs early stage, relating to the bearing dynamic parameter of generator shaft system, the horizontal key parameter such as critical rotary speed, transient equilibrium that shakes, is the important parameter ensureing can normally run after generator manufacture is produced.

Generator power property calculation is also called Shafting calculation, needs shaft to carry out modularized processing early stage, be converted into segmented model, calculate the parameters such as the weight of each segmented model, moment of inertia by axle system drawing at Shafting calculation.

Computing method in the past divide shaft part by handwritten formula to rotor, then takes passages out one by one by armature spindle segment data, and according to required form write text document, last loading routine calculates.For the Shafting calculation of high-rating generator, such process is huge and loaded down with trivial details, easily makes mistakes, and not easily revises.

Summary of the invention

The technical problem to be solved in the present invention is to provide a kind of rotor module data creation method for generator Shafting calculation, modularization is carried out to rotor, to facilitate the various axle coefficient certificates needed for generation, and shaft data carry out format conversion, generate the data layout being applicable to Shafting calculation.

In order to solve the problems of the technologies described above, technical scheme of the present invention is to provide a kind of rotor module data creation method for generator Shafting calculation, it is characterized in that: the method is made up of following 3 steps:

Step 1: the calculating of body cross sectional moment of inertia, weight;

The moment of inertia I of wire casing _c:

I_{c} = 4 {Σ_{n = 1}^{Z_{0} / 4} (I_{0} + F_{c} \cdot R_{c}^{2}) \cdot \cos {[\frac{π}{Z} + 2 \cdot \frac{π}{Z} \cdot (n - 1)]}^{2}}

The moment of inertia I of wire _d:

I_{d} = \frac{4 \cdot E_{d}}{E} {Σ_{n = 1}^{Z_{0} / 4} F_{d} \cdot R_{d}^{2} \cdot \cos {[\frac{π}{Z} + 2 \cdot \frac{π}{Z} \cdot (n - 1)]}^{2}}

Body cross sectional moment of inertia I:

I = \frac{π}{64} (D^{4} - d^{4}) - I_{c} + I_{d}

This body weight W:

W = ρ \cdot L \cdot (\frac{π}{4} (D^{2} - d^{2}) - Z_{0} \cdot F_{c}) + ρ_{d} \cdot L \cdot Z_{0} \cdot F_{d}

Wherein, Z ₀for bus duct number, I ₀be the moment of inertia of a groove, F _cbe the area of a groove, R _cbe the radius of gravity center of a groove, Z is the groove number of divisions, E _dfor wire elastic modulus, E is this bulk modulus, F _dbe the area of a groove inside conductor, R _dbe the radius of gravity center of a groove inside conductor, D is body diameter, bore dia centered by d, and ρ is bulk density, and L is body length, ρ _dfor wire density;

Step 2: rotor moduleization calculates, because the shape of each shaft part of rotor, size are different, therefore needs to adopt the different moment of inertia of computing method to each shaft part to calculate;

A. cylindrical shape shaft part:

Cylindrical shape shaft part moment of inertia I ₁:

Cylindrical shape shaft part weight W ₁:

W_{1} = ρ_{1} \cdot L_{1} \cdot \frac{π}{4} (D_{1 o}^{2} - D_{1 i}^{2})

Wherein, D _1ofor cylindrical shape shaft part external diameter, D _1ifor cylindrical shape shaft part internal diameter, ρ ₁for cylindrical shape shaft part density, L ₁for cylindrical shape shaft part length;

B. truncated conical shape shaft part:

Truncated conical shape shaft part moment of inertia I ₂:

I_{2} = \frac{π}{64} [{D_{2 o}}^{4} - {D_{2 i}}^{4} - {2 D}_{2 o}^{3} (D_{2 o} - D_{2}) + {2 D}_{2 o}^{2} {(D_{2 o} - D_{2})}^{2} - D_{2 o} {(D_{2 o} - D_{2 i})}^{3} + \frac{1}{5} {(D_{2 o} - D_{2})}^{4}]

Truncated conical shape shaft part weight W ₂:

W_{2} = ρ_{2} \cdot L_{2} \cdot \frac{π}{12} ({D_{2 o}}^{2} - {3 D}_{2 i}^{2} + D_{2 o} D_{2} + {D_{2}}^{2})

Wherein, D _2ofor the large external diameter of truncated conical shape shaft part, D _2ifor truncated conical shape shaft part internal diameter, D ₂for the little external diameter of truncated conical shape shaft part, ρ ₂for truncated conical shape shaft part density, L ₂for truncated conical shape shaft part length;

C. shaft coupling shaft part:

Shaft coupling shaft part moment of inertia I ₃:

I_{3} \approx 2 \cdot \frac{π}{64} (D_{3 o}^{4} - D_{3 i}^{4})

Shaft coupling shaft part weight W ₃:

W_{3} = ρ_{3} \cdot L_{3} \cdot \frac{π}{4} (D_{3 o}^{2} - D_{3 i}^{2}) + W_{cp}

Wherein, D _3ofor shaft coupling shaft part external diameter, D _3ifor shaft coupling shaft part internal diameter, ρ ₃for shaft coupling shaft part density, L ₃for shaft coupling shaft part length, W _cpfor shaft coupling weight;

Step 3: the interface utilizing MathCAD software and Excel, exports required various axle coefficient certificate.

A kind of rotor module data creation method for generator Shafting calculation provided by the invention for adopt MathCAD software for mathematical computing to complete under windows operating system.

Method provided by the invention overcomes the deficiencies in the prior art, by the computing module of axle coefficient certificate, arrangement and the output of axle coefficient certificate can be carried out quickly and easily, reduce the error rate of data processing, the data layout being applicable to Shafting calculation can be generated fast simultaneously, avoid loaded down with trivial details manual input process.

Accompanying drawing explanation

Fig. 1 is a kind of rotor module data creation method process flow diagram for generator Shafting calculation provided by the invention;

Fig. 2 is the rotor module figure calculated in the present embodiment;

Fig. 3 is by the horizontal first-order bending vibation mode picture of shaking of generator that shaft part data calculate in the present embodiment;

Fig. 4 is with the horizontal second_mode figure that shakes of generator that shaft part data calculate in the present embodiment;

Embodiment

For making the present invention become apparent, hereby with a preferred embodiment, and accompanying drawing is coordinated to be described in detail below.

Fig. 1 is the process flow diagram of a kind of rotor module data creation method for generator Shafting calculation provided by the invention, and described a kind of rotor module data creation method concrete steps for generator Shafting calculation are as follows:

Step 1: the calculating of body cross sectional moment of inertia, weight;

The moment of inertia I of wire casing _c:

I_{c} = 4 {Σ_{n = 1}^{Z_{0} / 4} (I_{0} + F_{c} \cdot R_{c}^{2}) \cdot \cos {[\frac{π}{Z} + 2 \cdot \frac{π}{Z} \cdot (n - 1)]}^{2}}

The moment of inertia I of wire _d:

I_{d} = \frac{4 \cdot E_{d}}{E} {Σ_{n = 1}^{Z_{0} / 4} F_{d} \cdot R_{d}^{2} \cdot \cos {[\frac{π}{Z} + 2 \cdot \frac{π}{Z} \cdot (n - 1)]}^{2}}

Body cross sectional moment of inertia I:

I = \frac{π}{64} (D^{4} - d^{4}) - I_{c} + I_{d}

This body weight W:

W = ρ \cdot L \cdot (\frac{π}{4} (D^{2} - d^{2}) - Z_{0} \cdot F_{c}) + ρ_{d} \cdot L \cdot Z_{0} \cdot F_{d}

Step 2: rotor moduleization calculates, because the shape of each shaft part of rotor, size are different, therefore

Need to adopt the different moment of inertia of computing method to each shaft part to calculate;

A. cylindrical shape shaft part:

Cylindrical shape shaft part moment of inertia I ₁:

Cylindrical shape shaft part weight W ₁:

W_{1} = ρ_{1} \cdot L_{1} \cdot \frac{π}{4} (D_{1 o}^{2} - D_{1 i}^{2})

B. truncated conical shape shaft part:

Truncated conical shape shaft part moment of inertia I ₂:

I_{2} = \frac{π}{64} [{D_{2 o}}^{4} - {D_{2 i}}^{4} - {2 D}_{2 o}^{3} (D_{2 o} - D_{2}) + {2 D}_{2 o}^{2} {(D_{2 o} - D_{2})}^{2} - D_{2 o} {(D_{2 o} - D_{2 i})}^{3} + \frac{1}{5} {(D_{2 o} - D_{2})}^{4}]

Truncated conical shape shaft part weight W ₂:

W_{2} = ρ_{2} \cdot L_{2} \cdot \frac{π}{12} ({D_{2 o}}^{2} - {3 D}_{2 i}^{2} + D_{2 o} D_{2} + {D_{2}}^{2})

C. shaft coupling shaft part:

Shaft coupling shaft part moment of inertia I ₃:

I_{3} \approx 2 \cdot \frac{π}{64} (D_{3 o}^{4} - D_{3 i}^{4})

Shaft coupling shaft part weight W ₃:

W_{3} = ρ_{3} \cdot L_{3} \cdot \frac{π}{4} (D_{3 o}^{2} - D_{3 i}^{2}) + W_{cp}

In the present embodiment, under windows operating system, adopt MathCAD software programming body cross sectional moment of inertia calculation procedure and rotor module calculation procedure, meanwhile, utilize the Excel interface of MathCAD software to carry out rotor module data layout and transform.

For QF-141 generator, its rotor module concrete steps are as follows:

The first step: open body cross sectional moment of inertia MathCAD, input body cross-section data, bus duct number Z ₀the moment of inertia I of=32, groove ₀=2.113 × 10 ³cm ⁴, the area F of a groove _c=70.371cm ², the radius of gravity center R of a groove _c=42.102cm, groove number of divisions Z=46, wire elastic modulus E _d=1.2 × 10 ⁶mPa, body elastic modulus E=2.1 × 10 ⁶mPa, the area F of a groove inside conductor _d=31.32cm ², the radius of gravity center R of a groove inside conductor _d=42.229cm, body diameter D=102cm, center-hole diameter d=0, bulk density ρ=7.85 × 10 ³kg/m ³, body length L=452cm, wire density ρ _d=8.9 × 10 ³kg/m ³, calculate:

The moment of inertia I of wire casing _c: I _c=2.791 × 10 ⁶cm ⁴

The moment of inertia I of wire _d: I _d=7.021 × 10 ⁵cm ⁴

Body cross sectional moment of inertia I:I=3.225 × 10 ⁶cm ⁴

This body weight W:W=2.504 × 10 ⁴kg

Second step: open rotor module MathCAD, input the parameters such as each shaft part external diameter, internal diameter, length, weight, calculate moment of inertia and the weight of each shaft part, result of calculation is as follows:

3rd step: open the Excel interface in rotor module MathCAD, according to demand, output shaft segment data form, the horizontal single order that shakes shown in the rotor module figure shown in the Fig. 2 obtained and Fig. 3, Fig. 4, second_mode figure.

The invention provides a kind of rotor module data creation method for generator Shafting calculation, overcome the deficiencies in the prior art, by the computing module of axle coefficient certificate, arrangement and the output of axle coefficient certificate can be carried out quickly and easily, reduce the error rate of data processing, the data layout being applicable to Shafting calculation can be generated fast simultaneously, avoid loaded down with trivial details manual input process.

Claims

1. for a rotor module data creation method for generator Shafting calculation, it is characterized in that: the method is made up of following 3 steps:

Step 1: the calculating of body cross sectional moment of inertia, weight;

The moment of inertia I of wire casing _c:

I_{c} = 4 {Σ_{n = 1}^{Z_{0} / 4} (I_{0} + F_{c} \cdot R_{c}^{2}) \cdot \cos {[\frac{π}{Z} + 2 \cdot \frac{π}{Z} \cdot (n - 1)]}^{2}}

The moment of inertia I of wire _d:

I_{d} = \frac{4 \cdot E_{d}}{E} {Σ_{n = 1}^{Z_{0} / 4} F_{d} \cdot R_{d}^{2} \cdot \cos {[\frac{π}{Z} + 2 \cdot \frac{π}{Z} \cdot (n - 1)]}^{2}}

Body cross sectional moment of inertia I:

I = \frac{π}{64} (D^{4} - d^{4}) - I_{c} + I_{d}

This body weight W:

W = ρ \cdot L \cdot (\frac{π}{4} (D^{2} - d^{2}) - Z_{0} \cdot F_{c}) + ρ_{d} \cdot L \cdot Z_{0} \cdot F_{d}

A. cylindrical shape shaft part:

Cylindrical shape shaft part moment of inertia I ₁:

Cylindrical shape shaft part weight W ₁:

W_{1} = ρ_{1} \cdot L_{1} \cdot \frac{π}{4} (D_{1 o}^{2} - D_{1 i}^{2})

B. truncated conical shape shaft part:

Truncated conical shape shaft part moment of inertia I ₂:

I_{2} = \frac{π}{64} [{D_{2 o}}^{4} - {D_{2 i}}^{4} - {2 D}_{2 o}^{3} (D_{2 o} - D_{2}) + {2 D}_{2 o}^{2} {(D_{2 o} - D_{2})}^{2} - D_{2 o} {(D_{2 o} - D_{2 i})}^{3} + \frac{1}{5} {(D_{2 o} - D_{2})}^{4}]

Truncated conical shape shaft part weight W ₂:

W_{2} = ρ_{2} \cdot L_{2} \cdot \frac{π}{12} ({D_{2 o}}^{2} - {3 D}_{2 i}^{2} + D_{2 o} D_{2} + {D_{2}}^{2})

C. shaft coupling shaft part:

Shaft coupling shaft part moment of inertia I ₃:

I_{3} \approx 2 \cdot \frac{π}{64} (D_{3 o}^{4} - D_{3 i}^{4})

Shaft coupling shaft part weight W ₃:

W_{3} = ρ_{3} \cdot L_{3} \cdot \frac{π}{4} (D_{3 o}^{2} - D_{3 i}^{2}) + W_{cp}