scholarly journals Optimization design method for urban sewage collection pipe networks

2020 ◽  
Vol 81 (9) ◽  
pp. 1828-1839 ◽  
Author(s):  
Jiandong Tian ◽  
Guifang He
Keyword(s):  
Mathematical Model ◽  
Optimization Design ◽  
System Optimization ◽  
Optimization Method ◽  
Large System ◽  
Decision Variable ◽  
Pipe Network ◽  
Main Pipe ◽  
Pipe Section ◽  
Network Project

Abstract In this study, a secondary subsystem mathematical model is established under the condition that the layout of the sewage collection branch, trunk, and main pipe network projects is fixed. The sewage collection branch and trunk pipe network projects are treated as the research objective by taking the minimum annual cost of the sewage collection pipe network projects as the objective function, the longitudinal slope of the pipe section and the economic flow rate of the pipe section as constraints, and the diameter of the pipe section as the decision variable. A first-level subsystem mathematical model is established by taking the sewage collection branch, trunk, and main pipe network project as the research object. A large system mathematical model is established in the same manner. This model can be solved using the large system secondary decomposition–dynamic programming aggregation method, and the optimal diameter for each pipe section can be obtained. A regional sewage collection pipe network project in Taizhou city was considered as an example for comparative analysis before and after optimization, and the results verified that the optimization method proposed in this study can solve this complex large system optimization problem.

scholarly journals Synthetical Optimization of a Gravity-Driven Irrigation Pipeline Network System with Pressure-Regulating Facilities

Water ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 1112 ◽  
Author(s):  
Rong-Heng Zhao ◽  
Zi-Han Zhang ◽  
Wu-Quan He ◽  
Zong-Ke Lou ◽  
Xiao-Yi Ma
Keyword(s):  
Optimization Design ◽  
Pressure Head ◽  
System Optimization ◽  
Network System ◽  
Pipe Network ◽  
Project Cost ◽  
Main Pipe ◽  
Fixed Proportion ◽  
Gravity Driven ◽  
Elevation Difference

Due to the influence of topographic drops, a large elevation difference often occurs in the middle and lower sections of the main pipe of a gravity-driven irrigation pipe network (GDIPN) system. This elevation difference must be reduced appropriately through pressure reduction facilities (pressure-regulating ponds (PRPs) or pressure-reducing valves (PRVs)). The number and locations of PRPs are crucial factors in regulating and balancing the pressure head of the main pipe of a GDIPN system as well as in reducing the project cost. However, there are few studies on the optimization of this kind of pipe network system. In this paper, first, we generalize such type of GDIPN system, and a simplified mathematical model for such system optimization was established. A genetic algorithm based on a fixed proportion and direct comparison (GA-FPDC) was introduced to solve the model. Two existing projects were tested by the proposed method. The results show that the presented method not only improved the design efficiency and rationality but also greatly decreased the project cost. The presented method is effective and efficient to address optimization design of such GDIPN system problems.

Optimization Design on 500kV Substation Overhead Concrete Platform

2013 ◽  
Vol 849 ◽  
pp. 422-426
Author(s):  
Xiao Qi ◽  
Xiao Guang Wei ◽  
Ya Nan Li
Keyword(s):  
Mathematical Model ◽  
Cost Saving ◽  
Bearing Capacity ◽  
Penalty Function ◽  
Optimization Design ◽  
Goal Function ◽  
Optimization Method ◽  
Function Optimization ◽  
Frame Structure ◽  
The Cost

To achieve the optimization of 500 kV substation overhead concrete platform, regarding cost minimum of the frame structure as the optimization goal function, according to the conditions and the bearing capacity, using penalty function optimization method to design the frame structure concrete platform and establish its mathematical model, so as to make the concrete platform meet with the cost saving demands under the premise of structure safety.

Optimization of Vibrating Parameters for Large Linear Vibrating Screen

2012 ◽  
Vol 490-495 ◽  
pp. 2804-2808 ◽  
Author(s):  
Yong Yan Wang ◽  
Jia Bin Shi ◽  
Fei Fei Zhang ◽  
Hong Li Lu ◽  
Fei Xu
Keyword(s):  
Mathematical Model ◽  
Optimization Design ◽  
Optimization Method ◽  
Design Parameters ◽  
Vibrating Screen ◽  
Unit Power ◽  
Actual Design

This thesis aims at the maximal productivity per unit power for linear vibrating screen. By means of MATLAB optimization technology, the optimal mathematical model of linear vibrating screen is established.On the basis of the actual design parameters for the 27m2 linear vibrating screen, the optimization of vibrating parameters for vibrating screen is solved by MATLAB Optimization Toolbox. According to the result of optimization design compared with ordinary design, the optimization method is proved to be consistent and reliable.

scholarly journals Synchronization Optimization of Pipeline Layout and Pipe Diameter Selection in a Self-Pressurized Drip Irrigation Network System Based on the Genetic Algorithm

Water ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 489 ◽  
Author(s):  
Rong-Heng Zhao ◽  
Wu-Quan He ◽  
Zong-Ke Lou ◽  
Wei-Bo Nie ◽  
Xiao-Yi Ma
Keyword(s):  
Genetic Algorithm ◽  
Drip Irrigation ◽  
Optimization Design ◽  
Optimization Method ◽  
Simultaneous Optimization ◽  
Network System ◽  
Pipe Network ◽  
Network Systems ◽  
Irrigation Network ◽  
Effective Performance

A synchronous optimization method for self-pressure drip irrigation pipe network system is proposed. We have generalized the optimization design problem of the system and have established the mathematical models for the simultaneous optimization design of pipeline layout and pipe diameters. A genetic algorithm based on the infeasibility degree of the solution was used to solve the model. A typical example is used to validate the presented method. The method exhibits effective performance in the case studied. Designers can use the results of this study to efficiently design self-pressurized drip irrigation network systems.

Optimization of Pipe Network Simulation Algorithm for Tree-shaped Water Injection System in Large-scale Oilfield

2021 ◽  
Author(s):  
Yan Ruan ◽  
Xuliang Zhang ◽  
Jiaona Chen
Keyword(s):  
Mathematical Model ◽  
Pressure Drop ◽  
Large Scale ◽  
Network Simulation ◽  
Water Injection ◽  
Injection System ◽  
Simulation Algorithm ◽  
Pipe Network ◽  
Reference Node ◽  
Pipe Section

As intelligence technology develops, there is a higher requirement for computing speed and accuracy of water injection system simulation. In this paper, aiming at the tree-shaped water injection pipe network system of large-scale oilfields, based on the energy equation for calculating the pressure drop [Formula: see text] of pipe section, a mathematical model of the pipeline unit and the node unit is established, and finally, a mathematical model of pipe network for the entire water injection system is established; then, the improved iterative algorithm is used to solve the simulation model of water injection system. In this way, we determine the boundary calculation conditions, take the water injection station as reference node, and use the maximum pressure of water injection well as the initial value of the reference node for calculation, which reduces the number of iterations in model calculation; by comparing the simulation results of different iteration steps, 0.01 is selected as the iteration step size due to its higher calculation accuracy; and the calculation process has also been optimized. The process of solving the characteristic matrix [Formula: see text] is combined with the process of calculating the pressure drop [Formula: see text] of pipe section, and placed outside the algorithm loop, thereby shortening the calculation time of a single cycle and reducing the calculation amount of the algorithm. The application cases show that the proposed optimization algorithm for water injection system pipe network simulation can be used as an effective method to improve the solution speed and calculation accuracy of the simulation algorithm of tree-shaped water injection system in large-scale oilfields.

scholarly journals Research and practice on optimal design method of the oilfield water injection system pipeline network

2021 ◽  
Vol 2076 (1) ◽  
pp. 012003
Author(s):  
Fengjiao Qu ◽  
Tingting Liu ◽  
Zhiming Zhang ◽  
Weiyi Xie ◽  
Yansong Wang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Energy Loss ◽  
Partial Pressure ◽  
Optimization Design ◽  
Design Method ◽  
Water Injection ◽  
Injection System ◽  
Pipe Network ◽  
Pressure Water ◽  
Oilfield Water

Abstract The efficiency of oilfield water injection system is generally low and energy consumption is high. With the deepening of oilfield exploitation, the water cut of the oilfield is increasing, the power consumption of the water injection system is increasing year by year, the oilfield exploitation cost is increasing, and energy conservation and consumption reduction are very important. In order to improve oilfield water injection efficiency and reduce water injection energy loss, this paper puts forward the pipe network optimization design method of partial pressure water injection, establishes the mathematical model of partial pressure water injection pipe network and throttling loss calculation model, compiles the calculation software of partial pressure water injection mathematical model, optimizes the partial pressure interval, calculates the partial pressure points, effectively reduces the energy loss of water injection system and improves the efficiency of water injection system.

Optimization Design of Finger Seal Performances Based on Game Theory

2010 ◽  
Vol 156-157 ◽  
pp. 1275-1280
Author(s):  
Yan Chao Zhang ◽  
Guo Ding Chen
Keyword(s):  
Mathematical Model ◽  
Game Theory ◽  
Nash Equilibrium ◽  
Optimization Design ◽  
Optimization Method ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Equilibrium Method ◽  
Wear Ratio ◽  
Payoff Functions

To reach the expecting goal of lower leakage ratio and longer operation life(lower wear ratio) for finger seal, great efforts have been made continuously to obtain good structure of finger seal with advanced optimization design technology. A cooperation Nash equilibrium mathematical model of multi-objective optimization for finger seal is presented in current work based on Nash equilibrium of game theory. In this solution, the reciprocal of leakage ratio and the wear ratio value for finger seal are thought as the payoff functions and the game is solved by genetic algorithm. The numerical simulation in the paper shows that the finger seal with better performances can be achieved by using Nash equilibrium method. This means Nash equilibrium method can be used as a new multi-objective optimization method for finger seal performances optimization.

Parameter study and optimization design of a hat oblique tunnel portal

2021 ◽  
pp. 095440972110140
Author(s):  
Zijian Guo ◽  
Tanghong Liu ◽  
Wenhui Li ◽  
Yutao Xia
Keyword(s):  
High Speed ◽  
Optimization Design ◽  
Pareto Front ◽  
Optimization Problem ◽  
Optimization Method ◽  
Design Parameters ◽  
Parameter Study ◽  
Buffer Structure ◽  
Tunnel Entrance ◽  
The Ideal

The present work focuses on the aerodynamic problems resulting from a high-speed train (HST) passing through a tunnel. Numerical simulations were employed to obtain the numerical results, and they were verified by a moving-model test. Two responses, [Formula: see text] (coefficient of the peak-to-peak pressure of a single fluctuation) and[Formula: see text] (pressure value of micro-pressure wave), were studied with regard to the three building parameters of the portal-hat buffer structure of the tunnel entrance and exit. The MOPSO (multi-objective particle swarm optimization) method was employed to solve the optimization problem in order to find the minimum [Formula: see text] and[Formula: see text]. Results showed that the effects of the three design parameters on [Formula: see text] were not monotonous, and the influences of[Formula: see text] (the oblique angle of the portal) and [Formula: see text] (the height of the hat structure) were more significant than that of[Formula: see text] (the angle between the vertical line of the portal and the hat). Monotonically decreasing responses were found in [Formula: see text] for [Formula: see text] and[Formula: see text]. The Pareto front of [Formula: see text] and[Formula: see text]was obtained. The ideal single-objective optimums for each response located at the ends of the Pareto front had values of 1.0560 for [Formula: see text] and 101.8 Pa for[Formula: see text].

Optimization Research on Dynamic Balance of Spatial Engine under Limiting Shaking Moment

2009 ◽  
Vol 626-627 ◽  
pp. 693-698
Author(s):  
Yong Yong Zhu ◽  
S.Y. Gao
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Kinetic Analysis ◽  
Optimization Design ◽  
Design Method ◽  
Dynamic Balance ◽  
Optimized Design ◽  
Design Variables ◽  
The Mathematical Model ◽  
Shaking Moment

Dynamic balance of the spatial engine is researched. By considering the special wobble-plate engine as the model of spatial RRSSC linkages, design variables on the engine structure are confirmed based on the configuration characters and kinetic analysis of wobble-plate engine. In order to control the vibration of the engine frame and to decrease noise caused by the spatial engine, objective function is choosed as the dimensionless combinations of the various shaking forces and moments, the restriction condition of which presents limiting the percent of shaking moment. Then the optimization design is investigated by the mathematical model for dynamic balance. By use of the optimization design method to a type of wobble-plate engine, the optimization process as an example is demonstrated, it shows that the optimized design method benefits to control vibration and noise on the engines and improve the performance practically and theoretically.

scholarly journals Mechanical properties optimization of the steering column based on multi-objective optimization design

2016 ◽  
Vol 8 (12) ◽  
pp. 168781401668294 ◽  
Author(s):  
Si Chen ◽  
Zhaohui Wang ◽  
Mi Lv
Keyword(s):  
Mechanical Properties ◽  
Process Parameters ◽  
Optimization Design ◽  
Strain Difference ◽  
Optimization Method ◽  
Equivalent Strain ◽  
Multi Objective Optimization ◽  
Optimal Process ◽  
Multi Objective ◽  
Initial Results

The mechanical properties of the steering column have a significant influence on the comfort and stability of a vehicle. In order for the mechanical properties to be improved, the rotary swaging process of the steering column is studied in this article. The process parameters, including axial feed rate, hammerhead speed, and hammerhead radial reduction, are systematically analyzed and optimized based on a multi-objective optimization design. The response surface methodology and the genetic algorithm are employed for optimal process parameters to be obtained. The maximum damage value, the maximum forming load, and the equivalent strain difference obtained with the optimal process parameters are, respectively, decreased by 30.09%, 7.44%, and 57.29% compared to the initial results. The comparative results present that the quality of the steering column is improved. The torque experiments and fatigue experiments are conducted with the optimal steering column. The maximum torque is measured to be 260 NM, and the service life is measured to be 2 weeks (40 NM, 2500 times), which are, respectively, increased by 8.3% and 8.69% compared to the initial results. The above results display that the mechanical properties of the steering column are optimized to verify the feasibility of the multi-objective optimization method.

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