Basic Approach to Solve the Fuzzy Optimization Model of Natural Gas Pipeline

For different levels of fortification, a certain set of values ​​can be obtained. The fuzzy constraint is obtained from this: hydraulic constraints (energy constraints) According to the principle of energy balance, the energy provided by the compressor station across the pipeline should be equal to the total friction loss of the pipeline. The energy balance equation can be obtained from the characteristic equation of the compressor station and the pipeline: the constraint conditions of the pipeline specification Since the pipeline diameter and wall thickness can only be taken as discrete values ​​according to the specifications, the constraint conditions of the number of compressor stations are known from the actual project. The number is a non-negative integer: the fuzzy optimization model of the gas pipeline is based on the above three major factors (design variables, objective functions and constraints), and the mathematical model of the fuzzy optimization design of the natural gas pipeline is: the solution of the fuzzy optimization model of the natural gas pipeline The basic approach is to transform the fuzzy optimization problem into a non-fuzzy optimization problem, and then solve it using ordinary optimization methods.

Select the optimal level cut set method to achieve this transformation, and then use the hybrid discrete variable method to solve. The conversion level value of the fuzzy optimization model can be understood as the fortification level, which indicates the degree of satisfaction of the constraint conditions, and different values ​​can obtain different optimization results. The smaller the value, the less strict the constraints are met and the structural safety is poor, the less investment is needed to build a long-distance pipeline; otherwise, the more reliable the structure, the greater the investment. This requires seeking an optimal level of fortification to ensure that the design plan with the best economic benefits is obtained under the premise of safety and reliability. The score is based on the level of value, as a comment element, constituting a comment set: all factors (composition factor set) of the judgment object are divided into three categories (production, sales, management) according to their nature, and then these factors are divided into five according to the degree of influence According to the actual situation of the general project, the degree of membership of each factor can be determined to determine its factor set. Subset of factors, influencing factors, different factor levels, high degree of membership, high, generally low, production design level, manufacturing level, reliability, sales, energy conservation, maintenance, sales, management, weight and volume usage. It can be seen that the impact of objective factors on the level of fortification of long-distance pipelines It is reflected through the three-layer relationship. To fully absorb all information, the three-level fuzzy comprehensive evaluation method must be used to obtain the optimal level value, and use it to determine the fuzzy boundary value in each constraint condition, so as to transform the fuzzy optimization model into a general optimization model. .

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