An optimization method for busbar vibration isolation layout

Abstract

The present invention discloses an optimization method for busbar vibration isolation arrangement, comprising the following steps: (1) establishing a distributed parameter dynamic model of the busbar, and suppressing busbar vibration by arranging a damper at the busbar shell clamp; (2) establishing an optimization model by taking the maximum displacement of the busbar vibrating under excitation and the cost of installing the damper as two main factors for measuring the quality of the optimization result; (3) designing a discrete optimization algorithm to solve the optimization model, obtain the arrangement sequence of the damper, and arrange the damper according to the optimization result. The present invention realizes the effective suppression of the vibration caused by the internal structure of the busbar and the disturbance of external factors without changing the internal structure of the busbar, while taking into account the engineering economy, and can be applicable to various busbar vibration isolation arrangement designs arranged horizontally and vertically.

Description

Technical Field

[0001] The invention relates to the technical field of busbar vibration isolation, and in particular to an optimization method for busbar vibration isolation arrangement. Background Art

[0002] As a device for transmitting current and power in power plants and substations, busbars are often accompanied by vibration and noise during their operation. This is because they are operated under large currents of different values ​​for a long time, are subjected to short-circuit current shocks, and are subject to external vibration disturbances. Their shells, conductors, supporting insulators, hardware, etc. are very likely to suffer mechanical damage such as local deformation, loosening, and falling off under excessive vibration. In addition, the long-term vibration of the shell reacts on the supporting insulators and busbars, causing irreversible damage to equipment and lines, which will seriously threaten the safe and stable operation of the power system. At present, the vibration problem of busbars has begun to receive widespread attention, and certain vibration reduction measures have been taken in the design of busbars. However, most solutions to the vibration problem are ineffective, resulting in problems such as loosening and deformation of insulators, deformation and fracture of supporting structures after long-term operation of the busbar in actual production processes.

[0003] Considering the shortcomings of the previous busbar vibration isolation methods, the busbar vibration is suppressed by arranging dampers at the busbar shell clamps. The damper arrangement optimization problem is a hot issue in the field of vibration reduction at home and abroad, but the problem to be solved in practice is how to select the optimal number of dampers and determine the optimal position of the dampers under the premise of the given main structure and damper performance. The number of dampers directly determines the cost and effect of the vibration control system, and the location of the dampers affects the performance of the vibration control system. Summary of the invention

[0004] The technical problem to be solved by the present invention is to provide an optimization method for busbar vibration isolation arrangement, which can effectively suppress the vibration caused by the internal structure of the busbar and the disturbance of external factors.

[0005] In order to solve the above technical problems, the present invention provides an optimization method for busbar vibration isolation arrangement, comprising the following steps:

[0006] (1) A distributed parameter dynamic model of the busbar is established, and the busbar vibration is suppressed by arranging a damper at the busbar housing clamp;

[0007] (2) An optimization model is established by taking the maximum displacement of the busbar under excitation and the cost of installing the damper as the two main factors to measure the quality of the optimization results;

[0008] (3) Design a discrete optimization algorithm to solve the optimization model, obtain the damper arrangement sequence, and arrange the dampers according to the optimization results.

[0009] Preferably, in step (1), the distributed parameter dynamic model of the busbar includes: a busbar, a supporting insulator 2, a clamp 4, a passive damper 5 and a foundation 6; the busbar is fixed to the foundation 6 through the clamp 4, the passive damper 5 is installed between the clamp 4 and the foundation 6 according to a set position, and the supporting insulator 2 is fixed on a steel plate and installed inside the busbar.

[0010] Preferably, the busbar comprises a phase-isolated enclosed busbar casing 1 and a phase-isolated enclosed busbar conductor 3 , and the phase-isolated enclosed busbar conductor 3 is supported inside the phase-isolated enclosed busbar casing 1 through a supporting insulator 2 .

[0011] Preferably, in step (2), the maximum displacement of the busbar vibrating under excitation and the cost of installing the damper are used as two main factors to measure the quality of the optimization result, and the optimization model is established, which specifically includes the following steps:

[0012] (21) The busbar displacement expression under load is calculated through the distributed parameter dynamic model of the busbar, and the maximum displacement of the busbar is calculated accordingly;

[0013]

[0014] Among them, Z(x,t) is the displacement of the specific position coordinates of the busbar over time, ρ is the mass density of the busbar material, s is the cross-sectional area of ​​the busbar, l is the length of the busbar, and q k (t) is the generatrix canonical coordinate, k is the modal order, and NM is the modal order selected according to the project;

[0015] (22) The optimization model is established by taking the maximum displacement of the busbar as the objective function and the cost of the damper as the constraint condition;

[0016]

[0017] In the formula, α and β are weight coefficients, max(Z(x,t)), Z 0max are the maximum displacements of the busbar under load when the damper is arranged and when the damper is not arranged, and N is the number of dampers used.

[0018] Preferably, in step (3), designing a discrete optimization algorithm to solve the optimization model to obtain a placement sequence of the dampers, and arranging the dampers according to the optimization result specifically comprises the following steps:

[0019] (31) Initialize particle position: Generate binary code, 1 means to place a damper, 0 means not to place a damper, initialize the particle fitness value according to the objective function; record the initial position of the particle as the current individual optimal position, calculate the fitness value of the initialized particle as the current individual extreme value, record the best fitness value as the group optimal value, and the corresponding particle position as the group optimal position;

[0020] (32) Update particle velocity and position:

[0021] Speed ​​update formula: speed × inertia weight + (individual optimal position - current position) × learning factor 1 × random number + (global optimal position - current position) × learning factor 2 × random number;

[0022] Position update formula: Probability mapping method, using Sigmoid function to map the velocity to the interval [0,1] as probability, this probability is the probability that the particle will take the value 1 in the next step;

[0023] (33) Calculate the fitness value of the updated particle, select the group extreme value, and compare it with the previous group extreme value to update the group extreme value and the corresponding particle position; compared with the previous particle fitness value, update the individual extreme value of the particle and the individual optimal position;

[0024] (34) Determine whether the stop condition is met. If so, stop updating and output the result. If not, return to (32) and continue the loop.

[0025] (35) The optimal arrangement sequence of the dampers is obtained by solving the problem, and the dampers are arranged between the corresponding shell clamps and the foundation according to this sequence.

[0026] The beneficial effects of the present invention are as follows: the discrete binary particle swarm algorithm abstractly simulates the natural process of nature in principle to achieve optimization, and the damper arrangement optimization problem of structural vibration control is an extremely complex discrete optimization problem, and its complexity is mainly reflected in the fact that the discrete variables are not unique, that is, the objective function is often not selected as a single indicator. In the present invention, the increase in the number of dampers used can bring about an improvement in the vibration reduction effect, but excessive use will lead to an increase in engineering costs, so it is necessary to reasonably restrict the number of dampers used; the present invention achieves effective suppression of vibrations caused by the internal structure of the busbar and external factors without changing the internal structure of the busbar, while taking into account engineering economy, and can be applied to various busbar vibration isolation layout designs arranged horizontally and vertically. BRIEF DESCRIPTION OF THE DRAWINGS

[0027] Figure 1 It is a schematic diagram of the layout of the damper of the present invention.

[0028] Figure 2 It is a schematic diagram of the dynamic model of the busbar vibration reduction system of the present invention.

[0029] Figure 3 It is a schematic diagram of the structure of the vibration reduction system of the present invention.

[0030] Figure 4 The figure is a schematic diagram of the discrete binary particle swarm algorithm process of the present invention.

[0031] Among them, 1. Phase-isolated enclosed busbar casing; 2. Support insulator; 3. Phase-isolated enclosed busbar conductor; 4. Clamp; 5. Passive damper; 6. Foundation. DETAILED DESCRIPTION

[0032] An optimization method for busbar vibration isolation arrangement comprises the following steps:

[0033] (1) A distributed parameter dynamic model of the busbar is established, and the busbar vibration is suppressed by arranging a damper at the busbar housing clamp;

[0034] (2) An optimization model is established by taking the maximum displacement of the busbar under excitation and the cost of installing the damper as the two main factors to measure the quality of the optimization results;

[0035] (3) Design a discrete optimization algorithm to solve the optimization model, obtain the damper arrangement sequence, and arrange the dampers according to the optimization results.

[0036] like Figure 1 and 2 As shown, the distributed parameter dynamic model of the busbar includes: a busbar, a supporting insulator 2, a clamp 4, a passive damper 5 and a foundation 6; the busbar is fixed to the foundation 6 through the clamp 4, and the passive damper 5 is installed between the clamp 4 and the foundation 6 according to a set position. The busbar includes a phase-isolated closed busbar casing 1 and a phase-isolated closed busbar conductor 3, and the phase-isolated closed busbar conductor 3 is supported inside the phase-isolated closed busbar casing 1 through the supporting insulator 2.

[0037] In this embodiment, the parameters of the QZFM-15 / 14000 isolated-phase enclosed busbar are selected, and the horizontal length of the busbar is selected to be 50m.

[0038] Figure 3 is the structural diagram of the vibration isolation system, m 1n The mass of the nth micro-segment busbar conductor, m 2n is the mass of the nth micro-segment busbar housing, c 1 is the equivalent damping coefficient of the supporting insulator in the vertical direction, k 1 is the vertical equivalent stiffness coefficient of the supporting insulator, c 2 is the damping coefficient of the damper, k 2 is the stiffness coefficient of the clamp, k 3 is the stiffness coefficient of the damper, x 1n 、x 2n are the displacements of the busbar conductor and the shell micro-segment in the vertical direction, respectively. The busbar lateral vibration displacement equation is:

[0039]

[0040] Where y(x,t) is the displacement function of the busbar position coordinates over time, and ρ is the mass density of the busbar material 2856 kg / m 3 , s is the busbar cross-sectional area 0.0051m 2 , E is the elastic modulus of the material 6.83×10 10 N / m 2 , J is the moment of inertia of the generatrix section 2.02×10 -5 m 4 .

[0041] The introduction of canonical coordinates can transform the fourth-order differential equation into a second-order ordinary differential equation for easy solution.

[0042]

[0043] In the formula, q k (t) is the generatrix canonical coordinate.

[0044] The maximum vertical displacement of the busbar shell under excitation is obtained by the vibration mode superposition method, and then the vibration mode expression of the busbar is:

[0045]

[0046] The expression of busbar lateral vibration displacement can be obtained:

[0047]

[0048] The maximum displacement of the busbar is taken as the objective function, and the cost of damper usage is taken as the constraint.

[0049]

[0050] In the formula, α and β are weight coefficients, max(Z(x,t)), Z 0max The maximum displacement of the busbar under load when the damper is arranged and when the damper is not arranged respectively.

[0051] like Figure 4 As shown, the basic parameters of the algorithm are set and the particle positions are initialized: the positions where the damper can be placed are represented by a 0,1 matrix, and the corresponding binary codes are generated according to a certain strategy. 0 represents that the damper is not placed at the corresponding position, and 1 represents that the damper is placed at the corresponding position. The root objective function initializes the particle fitness value; the initial position of the particle is recorded as the current individual optimal position, the fitness value of the initialized particle is recorded as the current individual extreme value, the best fitness value is recorded as the group optimal value, and the corresponding particle position is recorded as the group optimal position;

[0052] Calculate the particle speed and position, and the speed update formula is: speed × inertia weight + (individual optimal position - current position) × learning factor 1 × random number + (global optimal position - current position) × learning factor 2 × random number.

[0053]

[0054]

[0055] Position update formula: Probability mapping method, using Sigmoid function to map the velocity to the interval [0,1] as probability, this probability is the probability that the particle will take the value 1 in the next step;

[0056]

[0057] Calculate the fitness value of the updated particle, select the group extreme value, and compare it with the previous group extreme value to update the group extreme value and the corresponding particle position. Compared with the previous particle fitness value, update the individual extreme value of the particle and the individual's optimal position.

[0058] Determine whether the stop condition is met. If so, stop updating and output the result. If not, return to recalculate the particle position and velocity and continue the loop.

[0059] The solution obtained is the best solution for optimizing the damper layout.

Claims

1. An optimization method for busbar vibration isolation arrangement, characterized in that, it includes the following steps: (1) Establish a distributed parameter dynamic model of the busbar, and suppress the vibration of the busbar by arranging dampers at the hoop of the busbar shell; (2) Take the maximum displacement of the busbar vibrating under excitation and the cost of installing dampers as two major factors to measure the optimization result, and establish an optimization model; specifically, it includes the following steps: (21) Calculate the busbar displacement expression under load through the distributed parameter dynamic model of the busbar, and calculate the maximum displacement of the busbar therefrom; Among them, Z(x,t) is the displacement of the specific position coordinate of the busbar vibrating with time, ρ is the mass density of the busbar material, s is the cross-sectional area of the busbar, l is the length of the busbar, q k (t) is the normal coordinate of the busbar, k is the modal order, and NM is the modal order selected according to the project; (22) Establish an optimization model with the maximum displacement of the busbar as the objective function and the cost of using dampers as the constraint condition; where α and β are weight coefficients, max(Z(x,t)) and Z 0max are the maximum displacements of the busbar when the damper is arranged and not arranged respectively under the action of the load, and N is the number of dampers used; (3) Design a discrete optimization algorithm to solve the optimization model, obtain the arrangement sequence of dampers, and arrange the dampers according to the optimization result; specifically, it includes the following steps: (31) Initialize the particle position: Generate binary coding, 1 means arranging a damper, 0 means not arranging a damper, and initialize the particle fitness value according to the objective function; Record the initial position of the particle as the current individual optimal position, calculate the fitness value of the initialized particle as the current individual extreme value, record the best fitness value as the global optimal value, and the corresponding particle position as the global optimal position; (32) Update the particle velocity and position: Velocity update formula: Velocity × inertia weight + (individual optimal position - current position) × learning factor 1 × random number + (global optimal position - current position) × learning factor 2 × random number; Position update formula: Probability mapping method, use the Sigmoid function to map the velocity to the interval [0,1] as the probability, and this probability is the probability that the particle takes the value of 1 in the next step; (33) Calculate the fitness value of the updated particle, select the global extreme value, and compare it with the previous global extreme value to update the global extreme value and the corresponding particle position; Compare with the previous particle fitness value, update the individual extreme value of the particle and the individual optimal position; (34) Judge whether the stop condition is satisfied. If it is satisfied, stop the update and output the result. If it is not satisfied, return to (32) to continue the loop; (35) Solve to obtain the optimal arrangement sequence of dampers, and arrange the dampers between the corresponding hoop of the shell and the foundation according to this sequence.

2. The optimization method for busbar vibration isolation arrangement according to claim 1, characterized in that, in step (1), the distributed parameter dynamic model of the busbar includes: the busbar, the support insulator (2), the hoop (4), the passive damper (5) and the foundation (6); the busbar is fixed to the foundation (6) through the hoop (4), the passive damper (5) is installed between the hoop (4) and the foundation (6) according to the set position, and the support insulator (2) is fixed on the steel plate and installed inside the busbar.

3. The optimization method for busbar vibration isolation arrangement according to claim 2, characterized in that, the busbar includes a separated-phase enclosed busbar shell (1) and a separated-phase enclosed busbar conductor (3), and the separated-phase enclosed busbar conductor (3) is supported inside the separated-phase enclosed busbar shell (1) through the support insulator (2).

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