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History of compressors - Automatic Control

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Three-state Moore-Greitzer compressor model<br />

d<br />

dt φ=−ψ+3<br />

φ)3<br />

φ+1−(1+ −3R(1+ φ)<br />

2 2<br />

d 1<br />

ψ=<br />

dt β2(φ−u) d<br />

dt R=−σR2 − σR(2φ+ φ 2 ),R≥0<br />

y= ψ<br />

here φ and ψ have the physical meaning being deviations <strong>of</strong> the<br />

averaged flow and the pressure from their nominal mean<br />

values, respectively.<br />

The stall R cannot be measured and used for feedback design.<br />

Alina Rubanova <strong>History</strong>. 19/ 24<br />

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