Optimization method of coaxial line radius ratio considering both transmission power and attenuation factors
Aiming at the deficiencies in the design and manufacturing theories of traditional general-purpose coaxial line products and the engineering demand for ultra-long,high-capacity,and low-energy-loss coaxial line systems constructed with-in underground petroleum tubing for microwave oil recovery operations,the research on the optimization theory and design method of general-purpose coaxial line structure was carried out.The constraints of the classical single-factor optimization method were broken through.Based on the inherent physical relationship among the transmission power,the energy loss and the attenuation coefficient on the coaxial line,a mathematical model was constructed of the objective function that takes into account the influence of the dual factors of the maximum transmission power and the minimum attenuation coefficient.Then the coaxial line radius ratio optimization design method was proposed.The results show that the optimal value of the outer and inner conductor radius ratio of the general-purpose coaxial line is 2.11,and the nominal value of the characteristic impedance is 45 Ω.The transmission characteristics of the coaxial line is highly sensitive to the variations in the ratio of its conductor ra-dius.The results of the application of classical single-factor optimization cannot meet the use of requirements,only simulta-neously considering the dual-factor impacts of the maximum transmission power and the minimum attenuation coefficient can make the universal coaxial line function universally.The theoretical findings of the work and the coaxial line single-mode transmission formula are combined to form a complete design theoretical system of general-purpose coaxial line structure opti-mization.
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