CN101599101A - A kind of computing method of water flow quantity of branch paths of generator rotor winding - Google Patents

Abstract

The present invention relates to a kind of computing method of water flow quantity of branch paths of generator rotor winding, its step is for setting up the water resistance model earlier, at the element water resistance R of this each branch road of model rotor winding water route ₄ ^jBe the parallel connection that misplaces, other element water resistances are then in parallel, calculate the total hydraulic head P in rotor water route again, calculate rotor hollow core conductor Reynolds number R subsequently _E2Reach the resistance of each element water resistance in the water resistance model, obtain m equation by formula at last, separate the water yield that this m equation promptly obtains each generator amature winding branch road.Advantage of the present invention is: can truly reflect the connection of actual water route and can accurately obtain rotor winding strands road discharge.

Description

A kind of computing method of water flow quantity of branch paths of generator rotor winding

Technical field

The present invention relates to a kind of computing method of water flow quantity of branch paths of generator rotor winding, be applicable to that the rotor winding adopts the generator of internal water cooling, the discharge that belongs in the generator overall design is calculated the method and technology field.

Background technology

When carrying out the generator designs of water-cooled rotor, need the suitable rotor discharge of design, to satisfy the requirement of abundant cooled rotor.Rotor winding water route is to be made of the different branch road of multichannel structure different in size, and the discharge of accurately calculating each branch road is vital to the temperature that the control cooling effect differs from one tunnel water route most.Computing method are in the past supposed each branch road parallel connection, and each branch road of actual rotor winding water route is that dislocation is series-parallel.Therefore, computing method in the past can not must reflect truly that actual water route connects, and the rotor winding strands road discharge that calculates thus also is coarse.

Summary of the invention

The purpose of this invention is to provide a kind of computing method that can truly reflect the connection of actual water route and can accurately obtain rotor winding strands road discharge.

In order to achieve the above object, technical scheme of the present invention has provided a kind of computing method of water flow quantity of branch paths of generator rotor winding, it is characterized in that, step is:

Step 1, set up the water resistance model, at the element water resistance R of this each branch road of model rotor winding water route ₄ ^jBe the parallel connection that misplaces, other element water resistances are then in parallel;

Step 2, basis $P=P_A+P_B=P_A+\frac{\mathrm{\γ}}{2}\·{\left(\frac{2\mathrm{\π}}{60}\right)}^2\·{R_B}^2\·n^2$ Calculate the total hydraulic head P in rotor water route, wherein, P _ABe rotor water inlet pressure head, P _BBe the centrifugal head that the rotor rotation produces, γ is the density of water, R _BBe the water dumping radius, n is a rotating speed;

Step 3, first basis $R_{e2}=V_2\·\frac{d_2}{v}$ Calculate rotor hollow core conductor (technical term claims " rotor winding ") Reynolds number R _E2, wherein, d ₂Be rotor hollow core conductor hydraulic diameter, v is the kinematic viscosity of water, V ₂For the speed of current in the rotor hollow core conductor, by Reynolds number R _E2Look into the water resistance curve, can draw the resistance coefficient λ (technical term claims " on-way resistance coefficient ") that water flows through one section pipe range, again basis $z=\frac{\mathrm{\γ}}{2\·g\·A^2}\·(\mathrm{\λ}\·\frac{l}{d}+\mathrm{\ξ})$ Calculate the resistance of rotor winding water resistance, wherein, it is long-pending that g is that acceleration of gravity, A are that water flows through element cross-section, and l is that water flows through the element length overall, d is that element hydraulic diameter, ξ are coefficient of shock resistance;

Step 4, according to generator amature water route computation model, there is m possible branch road in the rotor water route from the import to the outlet, because the total hydraulic head in rotor water route $P=R_0\·{q_0}^2+\underset{1}{\overset{m}{\mathrm{\Σ}}}{R}_m\·{q_m}^2,$ Wherein, m is a rotor water branch road, and its value is m 〉=1, R ₀Be the water route part water resistance that each branch road current of generator amature winding pool together, q ₀Be the water route part water yield that each branch road current of generator amature winding pool together, R _mBe the water resistance of m generator amature winding branch road, q _mBe the water yield of m generator amature winding branch road, can obtain thus that water route, m road is arranged, the flow on every road is all unknown, therefore m unknown number is just arranged, and water route, m road is arranged, and just has m $P=R_0\·{q_0}^2+\underset{1}{\overset{m}{\mathrm{\Σ}}}{R}_m\·{q_m}^2$ Equation is separated this m about branch road flow q _mEquation, promptly obtain the water yield of each generator amature winding branch road.

The present invention proposes the water resistance model that a true generator amature of reflection divides the branch road current, method provided by the invention can adopt the mathcad software programming under windows operating system.

Advantage of the present invention is: can truly reflect the connection of actual water route and can accurately obtain rotor winding strands road discharge.

Description of drawings

Fig. 1 is the process flow diagram of the computing method of a kind of water flow quantity of branch paths of generator rotor winding provided by the invention;

Fig. 2 is a water resistance illustraton of model provided by the invention.

Embodiment

Specify the present invention below in conjunction with embodiment.

Embodiment

As shown in Figure 1, be the process flow diagram of the computing method of a kind of water flow quantity of branch paths of generator rotor winding provided by the invention, its concrete steps are:

Step 1, foundation water resistance model as shown in Figure 2 are at the element water resistance R of this each branch road of model rotor winding water route ₄ ^jBe the parallel connection that misplaces, other element water resistances are then in parallel;

Step 2, basis $P=P_A+P_B=P_A+\frac{\mathrm{\γ}}{2}\·{\left(\frac{2\mathrm{\π}}{60}\right)}^2\·{R_B}^2\·n^2$ Calculate the total hydraulic head P in rotor water route, wherein, P _ABe rotor water inlet pressure head (unit is P), P _BBe the centrifugal head (unit is P) that the rotor rotation produces, γ is that (unit is 1000kg/m for the density of water ³), R _BBe water dumping radius (unit is m) that n is rotating speed (unit is rpm);

Step 3, first basis $R_{e2}=V_2\·\frac{d_2}{v}$ Calculate rotor hollow core conductor (technical term claims " rotor winding ") Reynolds number R _E2, wherein, d ₂Be rotor hollow core conductor hydraulic diameter, v is the kinematic viscosity of water, V ₂Speed for current in the rotor hollow core conductor.By Reynolds number R _E2Look into the water resistance curve, can draw the resistance coefficient λ (technical term claims " on-way resistance coefficient ") that water flows through one section pipe range.Basis again $z=\frac{\mathrm{\γ}}{2\·g\·A^2}\·(\mathrm{\λ}\·\frac{l}{d}+\mathrm{\ξ})$ Calculate the resistance of rotor winding water resistance, wherein, it is long-pending that g is that acceleration of gravity, A are that water flows through element cross-section, and l is that water flows through the element length overall, d is that element hydraulic diameter, ξ are coefficient of shock resistance.

According to Reynolds number R _E2Difference, the computing formula that the on-way resistance coefficient lambda adopts are also different, specifically see following table for details:

Annotate: Δ-water route absolute roughness, m

The laminar region	R e≤2320	λ＝75/R e
			The critical section	2320＜R e≤4000	λ＝0.0025R e 1/3
The smooth pipe turbulent area	4000＜R e≤22.2d 8/7/Δ 8/7	λ＝0.3164/R e 0.25, work as R e≤10 5The time λ=0.0032+0.22/R e 0.237, when 10 5＜R eThe time
			Zone of transition	22.2d 8/7/Δ 8/7＜R e≤597d 9/8/Δ 9/8	λ＝0.11(Δ/d+68/R e) 0.25
Coarse pipe turbulent area	597d 9/8/Δ 9/8＜R e	λ＝0.11Δ 0.25/d 0.25

Step 4, according to generator amature water route computation model (see figure 2), there is m possible branch road in the rotor water route from the import to the outlet.Because the total hydraulic head in rotor water route $P=R_0\·{q_0}^2+\underset{1}{\overset{m}{\mathrm{\Σ}}}{R}_m\·{q_m}^2,$ Wherein, m is a rotor water branch road, and is general and generator amature groove number equal, commonly 24,28,32,36 etc., but the method for this patent all can be regarded as more than 1 the tunnel, and m=16 in the present embodiment, R ₀Be the water route part water resistance that each branch road current of generator amature winding pool together, q ₀The water route part water yield that pools together for each branch road current of generator amature winding; R _mBe the water resistance of m generator amature winding branch road, q _mIt is the water yield of m generator amature winding branch road.Can obtain thus, water route, m road is arranged, the flow on every road is all unknown, and therefore m unknown number just arranged.Water route, m road is arranged, just have m $P=R_0\·{q_0}^2+\underset{1}{\overset{m}{\mathrm{\Σ}}}{R}_m\·{q_m}^2$ Equation.Separate this m about branch road flow q _mEquation, promptly obtain the water yield of each generator amature winding branch road.

In this process, also need to judge whether to satisfy solving condition, this is because separating polynary quadratic equation will use iteration, will the user import an initial flow earlier.This flow does not influence final result calculated, just the initial value of numerical analysis.But if value and actual value differ too big (for example poor several thousand times), numerical evaluation just might can not find the result.Choosing of initial value is not difficult, and up to the present the generator amature water yield is generally at 20 tons/hour～60 tons/hour.The arbitrary value that the user gets between 10 tons～100 tons/hour is all feasible, on average arrives m water route and gets final product as initial value.

As shown in Figure 2, the water resistance model comprises the element water resistance R of the limbers (be called for short " rotor bore ") of that open at the armature spindle center, water inlet usefulness ₁, rotor inlet water tank element water resistance R ₂ ^h(h=1, h=2), the diversion of rotor inlet water tank are to the water inlet aqueduct element water resistance R of rotor winding ₃ ⁱ(1≤i≤a, a 〉=1), the element water resistance R of each branch road of rotor winding water route ₄ ^j(1≤j≤b, b 〉=1) and the diversion of rotor winding are to the water outlet aqueduct element water resistance R of rotor inlet water tank ₅ ^k(1≤k≤c, c 〉=1).Each element water resistance R ₂ ^hBack in parallel and element water resistance R ₁Series connection, the element water resistance R of first generator amature winding branch road ₄ ¹Two ends connect first element water resistance R respectively ₃ ¹With first element water resistance R ₅ ¹, the element water resistance R of last generator amature winding branch road ₄ ^bTwo ends connect last element water resistance R respectively ₃ ^aWith last element water resistance R ₅ ^c, j element water resistance R ₄ ^jAn end and j-1 element water resistance R ₄ ^J-1An end connect the back altogether and connect i element water resistance R ₃ ⁱ, j element water resistance R ₄ ^jThe other end and j+1 element water resistance R ₄ ^J+1An end connect the back altogether and connect k+1 element water resistance R ₅ ^K+1In Fig. 2, rotor bore element water resistance R ₁, rotor inlet water tank element water resistance R ₂ ^h, water inlet aqueduct element water resistance R ₃ ⁱ, the element water resistance R of each branch road of rotor winding water route ₄ ^jAnd water outlet aqueduct element water resistance R ₅ ^kNumber be respectively 1,2,8,16 and 9 (generators of respective rotor 32 grooves).Element water resistance R ₂ ¹With element water resistance R ₂ ²Back in parallel and element water resistance R ₁Series connection, element water resistance R ₅ ¹With element water resistance R ₅ ⁹Respectively with element water resistance R ₄ ¹With element water resistance R ₄ ¹⁶Directly connect the element water resistance R of residue branch road ₄ ^jConnect back and element water resistance R in twos altogether ₅ ^kConnect, as the element water resistance R of second branch road ₄ ²An end and the element water resistance R of the 3rd branch road ₄ ³An end connect back Connection Element water resistance R altogether ₅ ², the rest may be inferred; And the element water resistance R of each branch road ₄ ^jThe other end according to adjacent in twos connection back and element water resistance R smoothly ₃ ⁱBe connected, such as the element water resistance R of first branch road ₄ ¹An end and the element water resistance R of second branch road ₄ ²An end connect back Connection Element water resistance R altogether ₃ ¹, the element water resistance of each branch road is staggered being arranged in parallel in this model like this.

Become after the program operation to import input value as shown in table 1 on computers with the mathcad software programming method provided by the invention:

The computer program input data list of table 1 water flow quantity of branch paths of generator rotor winding

The physical quantity title	The physical quantity symbol	Unit	Numerical value
				The rotor water feeding pressure	P A	Pa	0.1×10 6
The density of water	γ	kg/m 3	1000
				Rotor water dumping radius	R B	cm	35
Rotating speed	n N	rpm	3000

Can obtain result as shown in table 2:

The computer program result of calculation of table 2 water flow quantity of branch paths of generator rotor winding

The physical quantity title	The physical quantity symbol	Unit	Numerical value
				The rotor water feeding pressure	P A	Pa	0.1×10 6
The density of water	γ	kg/m 3	1000
				Rotor water dumping radius	R B	cm	35
Rotating speed	n N	rpm	3000
				The rotor Total Water	L 2	m 3/h	28.4
The 1 tunnel water route flow	q 1	m 3/h	0.964
				The 2 tunnel water route flow	q 2	m 3/h	0.953
The 3 tunnel water route flow	q 3	m 3/h	0.929
				The 4 tunnel water route flow	q 4	m 3/h	0.931
The 5 tunnel water route flow	q 5	m 3/h	0.914

The 6 tunnel water route flow	q 6	m 3/h	0.915
				The 7 tunnel water route flow	q 7	m 3/h	0.884
The 8 tunnel water route flow	q 8	m 3/h	0.885
				The 9 tunnel water route flow	q 9	m 3/h	0.883
The 10 tunnel water route flow	q 10	m 3/h	0.884
				The 11 tunnel water route flow	q 11	m 3/h	0.852
The 12 tunnel water route flow	q 12	m 3/h	0.853
				The 13 tunnel water route flow	q 13	m 3/h	0.854
The 14 tunnel water route flow	q 14	m 3/h	0.855
				The 15 tunnel water route flow	q 15	m 3/h	0.823
The 16 tunnel water route flow	q 16	m 3/h	0.823

Claims (2)

1. the computing method of a water flow quantity of branch paths of generator rotor winding is characterized in that, step is:

Step 1, set up the water resistance model, at the element water resistance R of this each branch road of model rotor winding water route ₄ ^jBe the parallel connection that misplaces, other element water resistances are then in parallel;

Step 2, basis $P=P_A+P_B=P_A+\frac{\mathrm{\γ}}{2}\·{\left(\frac{2\mathrm{\π}}{60}\right)}^2\·{R_B}^2\·n^2$ Calculate the total hydraulic head P in rotor water route, wherein, P _ABe rotor water inlet pressure head, P _BBe the centrifugal head that the rotor rotation produces, γ is the density of water, R _BBe the water dumping radius, n is a rotating speed;

Step 3, first basis $R_{e2}=V_2\·\frac{d_2}{v}$ Calculate rotor hollow core conductor Reynolds number R _E2, wherein, d ₂Be rotor hollow core conductor hydraulic diameter, v is the kinematic viscosity of water, V ₂For the speed of current in the rotor hollow core conductor, by Reynolds number R _E2Look into the water resistance curve, can draw the resistance coefficient λ that water flows through one section pipe range, again basis $z=\frac{\mathrm{\γ}}{2\·{g\·A}^2}\·(\mathrm{\λ}\·\frac{l}{d}+\mathrm{\ξ})$ Calculate the resistance of rotor winding water resistance, wherein, it is long-pending that g is that acceleration of gravity, A are that water flows through element cross-section, and l is that water flows through the element length overall, d is that element hydraulic diameter, ξ are coefficient of shock resistance;

Step 4, according to generator amature water route computation model, there is m possible branch road in the rotor water route from the import to the outlet, because the total hydraulic head in rotor water route $P=R_0\·{q_0}^2+\underset{1}{\overset{m}{\mathrm{\Σ}}}{R}_m\·{q_m}^2,$ Wherein, m 〉=1 is a rotor water branch road, R ₀Be the water route part water resistance that each branch road current of generator amature winding pool together, q ₀The water route part water yield that pools together for each branch road current of generator amature winding; R _mBe the water resistance of m generator amature winding branch road, q _mBe the water yield of m generator amature winding branch road, can obtain thus that water route, m road is arranged, the flow on every road is all unknown, therefore m unknown number is just arranged, and water route, m road is arranged, and just has m $P=R_0\·{q_0}^2+\underset{1}{\overset{m}{\mathrm{\Σ}}}{R}_m\·{q_m}^2$ Equation is separated this m about branch road flow q _mEquation, promptly obtain the water yield of each generator amature winding branch road.

2. the computing method of a kind of water flow quantity of branch paths of generator rotor winding as claimed in claim 1 is characterized in that, that described water resistance model comprises is that open at the armature spindle center, the element water resistance R of the limbers of water inlet usefulness ₁, rotor inlet water tank element water resistance R ₂ ^h(h=1, h=2), the diversion of rotor inlet water tank are to the water inlet aqueduct element water resistance R of rotor winding ₃ ⁱ(1≤i≤a, a 〉=1), the element water resistance R of each branch road of rotor winding water route ₄ ^j(1≤j≤b, b 〉=1) and the diversion of rotor winding are to the water outlet aqueduct element water resistance R of rotor inlet water tank ₅ ^k(1≤k≤c, c 〉=1), each element water resistance R ₂ ^hBack in parallel and element water resistance R ₁Series connection, the element water resistance R of first generator amature winding branch road ₄ ¹Two ends connect first element water resistance R respectively ₃ ¹With first element water resistance R ₅ ¹, the element water resistance R of last generator amature winding branch road ₄ ^bTwo ends connect last element water resistance R respectively ₃ ^aWith last element water resistance R ₅ ^c, j element water resistance R ₄ ^jAn end and j-1 element water resistance R ₄ ^J-1An end connect the back altogether and connect i element water resistance R ₃ ⁱ, j element water resistance R ₄ ^jThe other end and j+1 element water resistance R ₄ ^J+1An end connect the back altogether and connect k+1 element water resistance R ₅ ^K+1

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