A Mathematical Model of Marine Diesel Engine Speed Control System

Case Study
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Abstract

Diesel engine is inherently an unstable machine and requires a reliable control system to regulate its speed for safe and efficient operation. Also, the diesel engine may operate at fixed or variable speeds depending upon user’s needs and accordingly the speed control system should have essential features to fulfil these requirements. This paper proposes a mathematical model of a marine diesel engine speed control system with droop governing function. The mathematical model includes static and dynamic characteristics of the control loop components. Model of static characteristic of the rotating fly weights speed sensing element provides an insight into the speed droop features of the speed controller. Because of big size and large time delay, the turbo charged diesel engine is represented as a first order system or sometimes even simplified to a pure integrator with constant gain which is considered acceptable in control literature. The proposed model is mathematically less complex and quick to use for preliminary analysis of the diesel engine speed controller performance.

Keywords

Speed droop Governor Damping factor Time delay 

Notations

\({\text{K}}_{1}\)

Speed sensing element gain constant

\({\text{K}}_{2}\)

Hydraulic power amplifier gain constant

\({\text{K}}_{\text{e}}\)

Turbocharged diesel engine gain constant

\({\text{K}}_{\text{s}}\)

Speeder spring stiffness, N/m

\({\text{L}}_{1}\)

Lever length of right, mm

\({\text{L}}_{2}\)

Lever length of left, mm

\({\text{N}}_{\text{e}}\)

Engine speed, rpm

\({\text{N}}_{\text{ref}}\)

Engine set speed, rpm

\({\text{T}}\)

Temperature of lubricating oil

\({\text{T}}_{1}\)

Time constant of diesel engine combustion

\({\text{T}}_{2}\)

Time constant of firing delay

\({\text{a}}\)

Distance from flyweight fulcrum to flyweight centre

\({\text{m}}\)

Mass of flyweight, kg

\({\text{z}}\)

Speed sensor clutch displacement, mm

\(\upomega_{\text{n}}\)

Natural frequency, rad/s

μ

Viscosity of lubricating oil, m2/s

\(\upphi\)

Pre-tension of spring, mm

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Copyright information

© The Institution of Engineers (India) 2017

Authors and Affiliations

  1. 1.Malaysian Maritime AcademyMelakaMalaysia

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