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Reduced-order linearized dynamic model for induction motor-driven centrifugal fan-pump system.

Cebrail Turkeri1, Oleh Kiselychnyk2, Serdar Ekinci3

  • 1Department of Computer Engineering, Batman University, Batman, 72100, Turkey.

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|November 29, 2025
PubMed
Summary

This study linearizes and simplifies the complex, nonlinear model of centrifugal fan/pump systems driven by induction motors. This enables easier analytical control design for flow and pressure regulation in industrial applications.

Keywords:
Centrifugal fans/pumpsInduction motor drives applicationsLinearizationReduced-order method

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Area of Science:

  • Control Engineering
  • Electrical Engineering
  • Fluid Dynamics

Background:

  • Centrifugal fan/pump (CFP) systems are crucial for fluid transport but their complex, nonlinear dynamics challenge precise flow and pressure control.
  • Current control methods often rely on intuitive designs by engineers, constrained by industrial AC drives, lacking systematic analytical approaches.
  • The dynamic representation of induction motor-operated CFP systems is inherently complex and nonlinear, hindering systematic closed-loop control design.

Purpose of the Study:

  • To derive a linearized, reduced-order dynamic model of an induction motor-operated CFP system suitable for analytical closed-loop control design.
  • To overcome the limitations of heuristic solutions by enabling direct application of control design methodologies.
  • To provide a validated model for practical electrical engineers implementing control solutions with industrial AC drives.

Main Methods:

  • Linearization of an experimentally validated, nonlinear six-order dynamic model of the fan and induction machine system.
  • Model order reduction through derivations in the stator voltage vector reference frame.
  • Verification via simulations and experimental data, presenting the model in block diagrams, state-space, and transfer functions.

Main Results:

  • A third-order, control-oriented linearized model relating stator voltage frequency deviations to flow rate and pressure/head deviations was derived.
  • Simulated step responses of the linearized model closely matched the nonlinear model and experimental data.
  • The derived model is suitable for scalar induction motor regulation applications.

Conclusions:

  • This paper presents the first linearization and order reduction of an experimentally validated nonlinear fan-induction motor system model, including fan dynamics.
  • The obtained analytical model facilitates systematic closed-loop control design for CFP systems.
  • The model is practical for implementation by engineers using industrial AC drives.