Abstract
We present the modern stage of development of Universal Modeling Method, a complex of mathematical models and software for optimal design of centrifugal compressors - a new version of simplified mathematical model of efficiency and new software for variation calculations of multistage compressors. Based on this numerical calculation complex we have created a method for preliminary design of flow paths of stages - 2D and 3D impellers, vane and vaneless diffusers and return channels. The new, 9th version of its mathematical model features a quasi-3D calculation method of 2D and 3D impellers design, a new principle of pressure characteristic calculation, a new model of vaneless diffusers and much more. “Digital twin of a centrifugal compressor stage” and “3D compressor” software create digital descriptions of the flow part and its solid model (“digital twin”).
Highlights
Despite the successes of gas dynamic theory and computational gas dynamics, the issue of creating a reliable design of the centrifugal compressor flow path corresponding to the requirements of technical specifications for mass flow rate and pressure ratio at the highest possible efficiency has not been fully resolved
The mathematical models for calculating the efficiency are significantly improved in the models of the 5th version [11] and 6th version [12], and they are used in the design of new compressors [13, 14]
Stator elements of centrifugal compressor stages consist of vane and vaneless diffusers, return channels
Summary
Despite the successes of gas dynamic theory and computational gas dynamics, the issue of creating a reliable design of the centrifugal compressor flow path corresponding to the requirements of technical specifications for mass flow rate and pressure ratio at the highest possible efficiency has not been fully resolved. Since an analytical description of the workflow is impossible, the search for the optimal solution can be done only by comparing the flow path options For each of these options, it is necessary to calculate the efficiency and pressure ratio for a design flow. The aim of the research is to minimize the number of user interactions in the process of optimal design, improve the quality of mathematical models and create a closed system of computer programs. At the end of the design process, the developed end-to-end system produces a series of compressor gas-dynamic characteristics, and a solid model of the flow path. For a compressor with a more complex scheme was created the PPMVTSK-G9R program, that provides an opportunity to compare variants with a different number of shafts, stages, loading factors and flow rate coefficients, the number and location of gas coolers. After selecting the desired compressor variant, software handles the preliminary design - calculation of the compressor flow path sizes for calculating the gasdynamic characteristics by the Universal Modeling method
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