CN111597650B - Optimization method and system for insulation structure of converter transformer valve side sleeve wire outlet device - Google Patents
Optimization method and system for insulation structure of converter transformer valve side sleeve wire outlet device Download PDFInfo
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Abstract
The invention discloses an optimization method of an insulation structure of a valve side bushing outlet device of a converter transformer, which comprises the steps of determining factors influencing the insulation structure of the valve side bushing outlet device of the converter transformer, constructing various optimization objective functions based on the factors, constructing an evaluation function based on the optimization objective functions, synthesizing the evaluation function by utilizing penalty functions and constraint conditions to obtain unconstrained objective functions, determining the weight of each optimization objective function and solving the unconstrained objective functions to obtain insulation structure parameters of the valve side bushing outlet device of the converter transformer, and the like.
Description
Technical Field
The invention relates to the technical field of electrical insulation, in particular to a method and a system for optimizing an insulation structure of a converter transformer valve side bushing outlet device.
Background
The insulating structure of the valve side sleeve wire outlet device of the converter transformer is an insulating device for connecting the valve side sleeve and a winding coil of the converter transformer, so that the insulating structure of the valve side sleeve wire outlet device has good electrical insulating property.
At present, the insulation structure of the valve side bushing outlet device of the converter transformer is divided into an open type and a closed type, wherein: (1) the open type outlet structure has a simple insulating structure, is beneficial to the flowing of transformer oil and is convenient for heat dissipation, the electric field distribution in the barrier paperboard is reasonable, but the tangential field intensity of the transformer oil along the surface of the insulating barrier is high; (2) the closed type outlet structure is composed of the special-shaped barriers, the structure is complex, the heat dissipation condition is poor, the electric field intensity in the normal direction born by the special-shaped barriers is high, but the tangential electric field intensity of the surface of the oil barriers in the oil is low, and the surface flashover along the oil-paper interface can be prevented.
However, in order to meet the insulation requirement of the valve side bushing outlet device insulation structure of the converter transformer, attention needs to be paid to preventing the surface flashover of an oil-paper interface, and consideration needs to be given to the fact that good heat dissipation is required and the normal field strength borne by an insulation paper board needs to meet the requirement that the tolerance strength cannot be too high, so that the valve side bushing outlet device insulation structure of the extra-high voltage converter transformer needs to be optimized.
Disclosure of Invention
The invention aims to provide an optimization method and an optimization system for an insulation structure of a valve side sleeve wire outlet device of a converter transformer, which can optimize the insulation structure of the valve side sleeve wire outlet device of the converter transformer so as to ensure that the insulation structure of the valve side sleeve wire outlet device of the converter transformer has better insulation performance and heat dissipation performance.
In order to solve the technical problems, the technical scheme adopted by the invention specifically comprises the following contents:
a method for optimizing an insulation structure of a converter transformer valve side bushing outgoing line device comprises the following steps:
solving the weight of a pre-constructed optimization objective function by applying a judgment matrix method;
and determining the optimal structural parameters of the insulation structure of the converter transformer valve side bushing outlet device based on the weight.
Preferably, the pre-constructed optimization objective function is constructed according to the optimization objective of the insulation structure of the valve-side bushing outlet device of the converter transformer. .
As a preferred aspect of the foregoing solution, the optimization objective function is an unconstrained optimization objective function, and the unconstrained optimization objective function is obtained by:
determining factors influencing the insulation structure of a converter transformer valve side bushing outlet device;
constructing an optimization objective function based on the factors;
constructing an evaluation function based on each optimized objective function;
and integrating the evaluation functions by applying a penalty function and a constraint condition to obtain an unconstrained optimization objective function.
Preferably, the evaluation function is:
wherein: f. of i (x) To optimize the objective function; omega i To optimize the weights of the objective function.
Preferably, the factor includes a clearance d of the oil clearance 1 Thickness d of the barrier 2 The horizontal position D of the barrier and the cover-in depth L of the barrier, and the range of the factors is:
preferably, the optimization objective function includes a maximum electric field intensity E in the insulation shield 1m Tangential maximum electric field intensity | E of oil-paper interface of straight paper cylinder 2m Maximum electric field intensity E in I, voltage-sharing ball coating 3m Maximum electric field intensity E in the coated surface oil 4m Maximum electric field intensity E along the epoxy surface of the capacitor core protection layer 5m Bushing capacitor core radial maximum field intensity E 6m Maximum field intensity E of axial electric field at lower end of the sum pole plate 7m 。
Preferably, the constraint condition is 100mm<(d 1 +d 2 )<120mm。
Preferably, the unconstrained evaluation function is:
wherein: r1 and r2 are penalty function factors; v is the volume of the insulating barrier; gi (x) is a correlation function of max [1,100- (x1+ x2) ] and max [1, (x1+ x2) -120 ].
As a preference of the above-mentioned aspect,
applying a judgment matrix method, and solving the weight of the pre-constructed optimization objective function comprises the following steps:
determining the importance degrees of any two optimized objective functions by using a judgment matrix method;
establishing a judgment matrix based on the importance degrees of any two optimized objective functions;
and solving the judgment matrix by using mathematical calculus to obtain the weight of each optimized objective function.
Preferably, the optimal structure parameter of the insulation structure of the valve side casing outlet device of the converter transformer is determined based on the weight, and the particle swarm optimization algorithm is utilized to randomly optimize an unconstrained optimization objective function so as to determine the optimal structure parameter of the insulation structure of the valve side casing outlet device of the converter transformer.
The invention also discloses an optimization system of the insulation structure of the valve side sleeve outlet device of the converter transformer, which comprises a function solving module and a structure optimization module, wherein the function solving module solves the weight of the pre-constructed optimized objective function by applying a judgment matrix method, and the structure optimization module determines the optimal structure parameters of the insulation structure of the valve side sleeve outlet device of the converter transformer based on the weight.
Preferably, the optimization system further comprises a function construction module, and the function construction module constructs an optimization objective function according to the optimization objective of the insulation structure of the converter transformer valve side bushing outlet device.
Compared with the prior art, the invention has the beneficial effects that:
the invention discloses an optimization method of an insulation structure of a valve side sleeve outlet device of a converter transformer, which comprises the steps of determining factors influencing the insulation structure of the valve side sleeve outlet device of the converter transformer, constructing various optimization objective functions based on the factors, constructing evaluation functions based on the optimization objective functions, synthesizing the evaluation functions by utilizing penalty functions and constraint conditions to obtain unconstrained objective functions, determining the weight of each optimization objective function and solving the unconstrained objective functions to obtain insulation structure parameters of the valve side sleeve outlet device of the converter transformer, and the like.
The foregoing description is only an overview of the technical solutions of the present invention, and in order to make the technical means of the present invention more clearly understood, the present invention may be implemented in accordance with the content of the description, and in order to make the above and other objects, features, and advantages of the present invention more clearly understandable, the following specific preferred embodiments are described in detail.
Detailed Description
To further illustrate the technical means and effects adopted by the present invention to achieve the predetermined invention purpose, the following embodiments are combined with the structure optimization of the valve side casing outlet device of the ± 800kV ultra-high voltage converter transformer, and the detailed description of the specific implementation mode, structure, characteristics and effects according to the present invention is as follows:
the invention discloses an optimization method of an insulation structure of a converter transformer valve side bushing outlet device, which comprises the following steps:
solving the weight of a pre-constructed optimization objective function by applying a judgment matrix method;
and determining the optimal structure parameters of the insulation structure of the valve side sleeve outlet device of the converter transformer based on the weights, and determining the importance of each optimization objective function by constructing the optimization objective function of each optimization objective by the optimization method, so that the insulation structure of the valve side sleeve outlet device of the converter transformer can be optimized.
As a further preferable scheme, the pre-constructed optimization objective function is constructed according to an optimization objective of the insulation structure of the valve-side bushing outlet device of the converter transformer.
As a further preferred scheme, the optimization objective function is an unconstrained optimization objective function, which is that the unconstrained optimization objective function changes with the change of the factor of the insulation structure of the valve-side bushing outlet device of the converter transformer, so that an approximate relationship between the electric field distribution, economic conditions and the factor of the insulation structure of the valve-side bushing outlet device of the converter transformer can be constructed, and then the optimal structural parameters of the outlet device can be obtained through optimization solution.
The unconstrained objective function is obtained by:
the unconstrained optimization objective function is obtained by:
determining factors influencing the insulation structure of a converter transformer valve side bushing outlet device;
constructing an optimization objective function based on the factors;
constructing an evaluation function based on each optimized objective function;
and integrating the evaluation functions by applying a penalty function and a constraint condition to obtain an unconstrained optimization objective function.
Preferably, the evaluation function is:
wherein: f. of i (x) To optimize the objective function; omega i To optimize the weights of the objective function.
Preferably, the factor includes the size of the oil clearance d 1 Thickness d of the barrier 2 The horizontal position D of the barrier and the cover-in depth L of the barrier, and the range of the factors is:
preferably, the optimization objective function includes a maximum electric field intensity E in the insulation shield 1m Tangential maximum electric field intensity | E of oil-paper interface of straight paper cylinder 2m Maximum electric field intensity E in I, voltage-sharing ball coating 3m Maximum electric field intensity E in the coated surface oil 4m Maximum electric field intensity E along the epoxy surface of the capacitor core protection layer 5m Bushing capacitor core radial maximum field intensity E 6m And maximum field intensity E of axial electric field at lower end of polar plate 7m The 7 optimized objective functions can reflect the electric field distribution condition and the engineering economy of the insulation structure of the valve side sleeve outgoing line device of the extra-high voltage converter, and the 7 optimized objective functions are along with the size d of the oil gap clearance 1 Thickness d of barrier 2 The horizontal position D of the barrier and the shield penetration depth L of the barrier.
Furthermore, since the 7 optimization objective functions have different dimensions and different orders of magnitude, before constructing the evaluation function based on the optimization objective functions, normalization processing needs to be performed on the 7 optimization objective functions, that is:
wherein: v is the volume of the insulating barrier,
preferably, the constraint is 100mm<(d 1 +d 2 )<120mm。
Preferably, the unconstrained objective function is:
wherein: r is 1 、r 2 Is a penalty function factor; v is the volume of the insulating barrier; g i (x) Is max [1,100- (x) 1 +x 2 )]And max [1, (x) 1 +x 2 )-120]The correlation function of (2).
Preferably, the method for solving the weight of the pre-constructed optimization objective function by using the judgment matrix method comprises the following steps:
determining the importance degrees of any two optimized objective functions by using a judgment matrix method, wherein the important degrees are as follows: the judgment matrix method is an improved method of the relative comparison method and also belongs to an experience scoring method, and is characterized in that all indexes are listed to form an NxN square matrix, then each index is compared pairwise and scored, and finally the scores of each index are summed and normalized.
Establishing a judgment matrix based on the importance degrees of any two optimized objective functions, specifically in the invention, establishing the judgment matrix of the objective function by analyzing the important relation of each objective function, specifically as follows:
and solving the judgment matrix by using mathematical operation to obtain the weight of each optimized objective function.
Specifically, the method comprises the following steps:
(1) each row of elements of the judgment matrix is normalized:
(2) adding the normalized judgment matrix by rows:
(3) will make opposite amount
Normalization:
the resulting vector w is equal to (w) 1 ,w 2 ,...,w n ) T That is, the obtained eigenvector, i.e., the hierarchical single-rank result of the decision matrix (i.e., the weight coefficient of each optimization objective function):
parameter changes of an insulation structure of a valve side sleeve wire outlet device of the converter transformer can cause the electric field distribution of a wire outlet area and the volume change of the wire outlet device, so that the change of an unconstrained target function is reflected, and the approximate relation between the electric field distribution and economic conditions of the wire outlet device and factors is constructed, namely the unconstrained optimized target function. And (4) obtaining the optimal structure parameter of the insulation structure of the wire outlet device by optimizing the unconstrained optimization objective function.
Through finite element calculation of the transformer valve side sleeve outlet device, various optimization objective function values can be accurately obtained, and the values are substituted into an unconstrained optimization objective function, so that an unconstrained optimization objective function accurate value can be obtained. Therefore, the optimal structure parameters of the converter transformer valve side sleeve outlet device insulation structure are determined based on the weight, random optimization is carried out on an unconstrained optimization objective function through a particle swarm optimization algorithm, and finally the structure parameters of the converter transformer outlet insulation structure, which are reasonable in electric field distribution, meet engineering requirements and are economical and practical, are determined.
Specifically, a factor of an insulation structure of the wire outlet device is used as a search space in a particle swarm optimization algorithm, an unconstrained objective function is used as the fitness of the optimization algorithm, namely the insulation structure optimization problem of the wire outlet device is a particle swarm optimization problem in a 4-dimensional search space, the particle swarm optimization algorithm with the population of 10 particles is applied, and simulation calculation is carried out by combining APDL programming with ANSYS. 4-dimensional searchThe position and velocity of the ith particle in space may be expressed as x, respectively i ＝(x i1 ,x i2 ,x i3 ,x i4 )，v i ＝(v i1 ,v i2 ,v i3 ,v i4 ) I is 1,2, …, 10. The individual optimum value at the current time for each particle is P i ＝[p i1 ,p i2 ,p i3 ,p i4 ]The best value found by the whole population at the current moment is P g ＝[p g1 ,p g2 ,p g3 ,p g4 ]。
In order to ensure that the particle swarm optimization algorithm finds out better parameters, the time cost of finite element calculation is considered, and the maximum evolution algebra T is specified max 50. Selecting parameters in a particle swarm optimization algorithm of an insulation structure of a combined type outgoing line device of the extra-high voltage converter transformer: inertial weight factor ω (T) 1-0.6T/T max (ii) a Acceleration constant c 1 (t)＝2.5-2t/T max ，c 2 (t)＝0.5+2t/T max . Obtaining a speed and position updating formula of the particle swarm optimization algorithm of the insulation structure of the open outlet device of the converter transformer:
the particle swarm optimization algorithm is implemented as follows:
(1) considering the time cost of finite element calculation, the maximum evolution algebra T is specified max ＝50；
(2) Setting t to 0, defining a solution domain X of the factors of the insulation structure of the wire device, and randomly generating 10 initial particles X in X i ；
(3) Factor x of an unconstrained objective function i Transferring to ANSYS for finite element calculation;
(4) reading an ANSYS calculation result, and calculating the fitness of each particle, namely an unconstrained objective function value;
(5) obtaining the optimal position P of the individual by comparison ij Group optimum position P gj ；
(6) Applying a speed and position updating formula to generate new particles, wherein t is t + 1;
(7) and (3) judging the value of t, if t is less than or equal to 50, returning to the step (3) to sequentially and downwards re-optimize the solution calculation, and if t is greater than 50, obtaining the structural parameters of the insulating structure of the valve side sleeve outlet device of the +/-800 kV ultrahigh voltage converter transformer.
In order to facilitate manufacturing, the factor of the insulating structure of the high-voltage converter valve side bushing outlet device is rounded, and the specific values of the optimized 10 layers of barriers are as follows:
oil clearance gap size d 1 7mm, barrier thickness d 2 5mm, 72mm for the horizontal position D of the barrier and 300mm for the depth L of the shield.
Optimal individual parameters for each particle during evolution of 50 generations
Under the optimized design scheme, the volume of an insulation barrier of an insulation structure of a converter transformer wire outlet device is 3.6624 multiplied by 10 8 mm 3 Compared with the optimized front barrier, the volume of the barrier is reduced by more than 50 percent, the consumption of raw materials is greatly reduced, and good economic benefit is obtained.
The invention also discloses an optimization system of the insulation structure of the valve side sleeve outlet device of the converter transformer, which comprises a function solving module and a structure optimization module, wherein the function solving module solves the weight of the pre-constructed optimization objective function by applying a judgment matrix method, and the structure optimization module determines the optimal structure parameters of the insulation structure of the valve side sleeve outlet device of the converter transformer based on the weight.
As a further preferable scheme, the optimization system further comprises a function construction module, and the function construction module constructs an optimization objective function according to an optimization objective of the insulation structure of the converter transformer valve side bushing outlet device.
The above embodiments are only preferred embodiments of the present invention, and the protection scope of the present invention is not limited thereby, and any insubstantial changes and substitutions made by those skilled in the art based on the present invention are within the protection scope of the present invention.
Claims (3)
1. A method for optimizing an insulation structure of a converter transformer valve side bushing outlet device is characterized by comprising the following steps:
solving the weight of a pre-constructed optimization objective function by applying a judgment matrix method;
determining the optimal structure parameters of the insulation structure of the converter transformer valve side bushing outlet device based on the weight;
the pre-constructed optimization objective function is constructed according to the optimization objective of the insulation structure of the converter transformer valve side sleeve outlet device;
the optimization objective function is an unconstrained optimization objective function, and the unconstrained optimization objective function is obtained by the following method:
determining factors influencing the insulation structure of a converter transformer valve side bushing outlet device;
constructing an optimization objective function based on the factors;
constructing an evaluation function based on each optimized objective function;
integrating the evaluation functions by applying a penalty function and a constraint condition to obtain an unconstrained optimization objective function;
the merit function is:
wherein: f. of i (x) To optimize the objective function; omega i Weights for the optimization objective function;
the factor includes the oil clearance gap size d 1 Thickness d of barrier 2 The horizontal position D of the barrier and the cover-in depth L of the barrier, and the range of the factors is:
optimizing the objective function including the maximum electric field strength E in the insulation shield 1m Tangential maximum electric field intensity | E of oil-paper interface of straight paper cylinder 2m Maximum electric field intensity E in I, voltage-sharing ball coating 3m Maximum electric field intensity E in the coated surface oil 4m Maximum electric field strength E along the epoxy surface of the capacitor core protection layer 5m Sleeve capacitor core radial maximum field intensity E 6m Maximum field intensity E of axial electric field at lower end of the sum pole plate 7m ；
Constraint of 100mm < (d) 1 +d 2 )＜120mm；
The unconstrained optimization objective function is:
wherein: r is 1 、r 2 Is a penalty function factor; v is the volume of the insulating barrier; g i (x) Is max [1,100- (x) 1 +x 2 )]And max [1, (x) 1 +x 2 )-120]The correlation function of (2).
2. The optimization method of claim 1, wherein applying a decision matrix method to solve the weights of the pre-constructed optimization objective function comprises:
determining the importance degrees of any two optimized objective functions by using a judgment matrix method;
establishing a judgment matrix based on the importance degrees of any two optimized objective functions;
and solving the judgment matrix by using mathematical calculus to obtain the weight of each optimized objective function.
3. The optimization method according to claim 2, characterized in that: and determining the optimal structure parameter of the insulating structure of the valve side sleeve outlet device of the converter transformer based on the weight by randomly optimizing an unconstrained optimization objective function by utilizing a particle swarm optimization algorithm to determine the optimal structure parameter of the insulating structure of the valve side sleeve outlet device of the converter transformer.
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