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TECHNICAL PAPERS

Development of a One-Dimensional Modular Dynamic Model for the Simulation of Surge in Compression Systems

[+] Author and Article Information
M. Morini, M. Pinelli

Engineering Department in Ferrara (ENDIF), University of Ferrara, Via Saragat 1, 44100 Ferrara, Italy

M. Venturini

Engineering Department in Ferrara (ENDIF), University of Ferrara, Via Saragat 1, 44100 Ferrara, Italymauro.venturini@unife.it

J. Turbomach 129(3), 437-447 (Jun 26, 2006) (11 pages) doi:10.1115/1.2447757 History: Received June 06, 2006; Revised June 26, 2006

The paper deals with the development of a nonlinear one-dimensional modular dynamic model for the simulation of transient behavior of compression systems. The model is based on balance equations of mass, momentum, and energy, which are derived through a general approach and are written by using the finite difference method. The model also takes rotating mass dynamics into account through a lumped parameter approach. Moreover, it reproduces the behavior of the system in the presence of the surge phenomenon through steady-state performance maps, which represent the compressor operation in the inverse flow region by means of a third degree polynomial curve. The model is implemented through the Matlab Simulink tool, where the system of ordinary differential equations is solved by using a fourth- and fifth-order Runge–Kutta method. A sensitivity analysis is carried out to evaluate the influence on compressor outlet pressure oscillations of the model parameters, of the supplied torque, of ambient conditions and of the shape of the compressor characteristic curves. The results show that the model proves effective in capturing the physical essence of surge phenomenon without being computationally too heavy.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Deep surge modeling through static performance maps with inverse flow

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Figure 2

Schematic representation of the system

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Figure 3

Example of characteristic curves used for compressor behavior simulation in direct-flow and inverse-flow region—nr=1756rpm∕K0.5

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Figure 4

Supplied torque (dotted line), outlet valve coefficient (dashed line), and compressor outlet pressure (solid line) during the base case simulation

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Figure 5

Result of the fast Fourier transform of outlet compressor pressure

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Figure 6

Frequency of the oscillation of compressor outlet pressure vs. number of elements of the exhaust duct

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Figure 7

Effects of the variation of the intake duct length on the frequency of the oscillations of the compressor outlet pressure

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Figure 8

Effects of the variation of final outlet valve coefficient KVout, of the supplied torque Cs, and of shaft inertia J on the frequency of compressor outlet pressure oscillations

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Figure 9

Effects of the variation of ambient temperature and pressure on the frequency of compressor outlet pressure oscillations

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Figure 10

Effects of the variation of fs factor on the frequency f and on the amplitude A of the oscillations of outlet compressor pressure

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Figure 11

Influence of the shape factor fs on compressor characteristic curves for two values of the corrected rotational speed

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