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Direct piston displacement control of free-piston Stirling engines

Thesis (PhD)-- Stellenbosch University, 2013. / ENGLISH ABSTRACT: Control of beta-type free-piston Stirling engines has been the topic of research and development
for many years. In this dissertation, an alternative approach to free-piston Stirling engine
control, namely direct piston displacement control, is proposed.
Direct piston displacement control entails the instantaneous and direct control of the piston
displacement to control the engine according to preferred criteria, e.g. maximum power
conversion or efficiency. To control free-piston engines in this manner, it is necessary to independently
control both the displacement of the displacer and the power piston in real time. The
primary arrangement by which to achieve this is through external control of the instantaneous
forces exerted by the linear electrical machines fixed to the pistons. The challenge of displacement
control is whether suitable linear machine technology exists or whether technology could
be established that would adhere to the requirements of real time direct control.
To answer the question whether direct piston displacement control is at all possible, a process
was followed to set specifications that linear machines should adhere to and to set design
guidelines for linear machines and free-piston Stirling engines.
The first step was to establish the ability to simulate free-piston Stirling engine dynamics
accurately. This was done by adapting a second order formulation and to verify and improve
the accuracy thereof by comparing simulated results with experimental results of one of the
best documented Stirling engines, namely the GPU-3 engine. It was found that this second
order formulation could simulate the GPU-3 engine to a fair degree of accuracy.
Key indicators were defined and later refined with the view of setting specifications. A case
study of the influence of a range of variations, including operational, dimensional and other
variations, on the dynamics of the GPU-3 was then undertaken. From the findings of this case
study, specifications of the key indicators and design guidelines were established.
A design optimisation approach was proposed to evaluate linear machine topologies. This
approach makes specific provision for the specifications that linear machines need to adhere
to, as well as for representative dynamic responses of the forces exerted on the linear machine
by the displacer or the power piston. These representative responses and the associated piston
displacement were determined for the displacer, the power piston and the combination of the
two from the study conducted to set specifications. An air-core, longitudinal flux linear machine with surface mounted permanent magnets
(LFPM) was then evaluated to determine its suitability for direct piston displacement control.
This linear machine topology was optimised for the traditional approach to establish a benchmark
with which to compare subsequent optimisations. The LFPM linear machine not only
compared well with other topologies for the traditional application in resonant free-piston Stirling
engines, but it was found also to be able to perform displacement control for both the
displacer and the power piston. For both pistons, displacement should however be limited to
sinusoidal displacement, and in the case of the displacer, an important qualification is that the
linear machine should be assisted by spring forces to reach practical design optimisations.
Direct piston displacement control is shown to be possible. Future work should concentrate
on the practical implementation thereof in free-piston Stirling engines. / AFRIKAANSE OPSOMMING: Die beheer van beta-tipe vrysuier Stirling enjins is al vir baie jare die onderwerp van navorsing
en ontwikkeling. In hierdie proefskrif word ’n alternatiewe benadering tot vrysuier Stirlingenjins
voorgestel, naamlik direkte suierverplasingsbeheer.
Direkte suierverplasingsbeheer behels die oombliklike en direkte beheer van die suierverplasing
om die enjin volgens voorkeur kriteria, soos maksimum drywingsomsetting of benuttingsgraad,
te beheer. Om vrysuier enjins op hierdie wyse te beheer, is dit noodsaaklik om
intyds die verplasing van beide die verplaser en die werksuier onafhanklik te beheer. Die
primêre wyse om dit te bereik is deur eksterne beheer van die oomblikskragte wat uitgevoer
word deur die lineêre masjiene wat vas is aan die suiers. Die uitdaging van verplasingsbeheer
is of toepaslike lineêre masjien tegnologie bestaan en of tegnologie gevestig kan word wat sal
voldoen aan die vereistes van intydse direkte beheer.
Om die vraag te beantwoord of direkte suierverplasingsbeheer hoegenaamd moontlik is, is
’n proses gevolg om spesifikasies daar te stel waaraan lineêre masjiene moet voldoen en om
ontwerpsriglyne vir lineêre masjiene en vrysuier Stirling enjins te stel.
Die eerste stap was om die vermoë daar te stel om vrysuier Stirling enjin dinamika akkuraat
te simuleer. Dit is gedoen deur ’n tweede orde formulering aan te pas en om die akkuraatheid
daarvan te kontroleer en te verbeter deur gesimuleerde resultate met eksperimentele resultate
van een van die bes gedokumenteerde Stirling enjins, naamlik die GPU-3 enjin, te vergelyk.
Daar is bevind dat die tweede orde formulering die GPU-3 tot ’n redelike mate akkuraat kon
simuleer.
Sleutel aanwysers is gedefinieer en later verfyn met die oog op die daarstelling van spesifikasies.
’n Gevallestudie van die invloed van ’n reeks variasies, insluitende operasionele,
dimensionele en ander variasies, op die dinamika van die GPU-3 is onderneem. Gegrond op
die bevindinge van hierdie gevallestudie kon spesifikasies en ontwerpsriglyne vasgestel word.
’n Ontwerpsoptimeringsbenadering is voorgestel om lineêre masjiene te evalueer. Hierdie
benadering maak spesifiek voorsiening vir die spesifikasies waaraan lineêre masjiene moet
voldoen, sowel as verteenwoordigende dinamiese response van die kragte wat op die lineêre
masjien van die verplaser en die werksuier uitgeoefen word. Vanaf die bevindinge van die
studie wat uitgevoer is om spesifikasies daar te stel, is verteenwoordigende response en gepaardgaande suierverplasing bepaal vir die verplaser, die werksuier en die kombinasie van
die twee.
’n Lugkern, longitudinale vloed lineêre masjien met oppervlak-gemonteerde permanente
magnete (LVPM) is toe geëvalueer om die geskiktheid daarvan te bepaal vir direkte suierverplasingsbeheer.
Hierdie lineêre masjien topologie is geoptimeer vir die tradisionele benadering
om ’n maatstaf te vestig waarteen daaropvolgende optimerings vergelyk kan word. Die LVPM
lineêre masjien vergelyk nie net goed met ander topologieë vir die tradisionele toepassing in
resonante vrysuier Stirling enjins nie, maar daar is ook bevind dat dit in staat is om verplasingsbeheer
te doen vir beide die verplaser en die werksuier. Vir beide suiers moet die verplasing
egter tot sinusvormige verplasing beperk word en in die geval van die verplaser, is ’n belangrike
kwalifikasie dat die lineêre masjien ondersteun moet word deur veerkragte om praktiese
ontwerpsoptimerings te bereik.
Daar is aangetoon dat direkte suierverplasingsbeheer moontlik is. Toekomstige werk moet
konsentreer op die praktiese implementering daarvan in vrysuier Stirling enjins.

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:sun/oai:scholar.sun.ac.za:10019.1/85604
Date12 1900
CreatorsStrauss, Johannes Matthias
ContributorsKamper, M. J., Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering.
PublisherStellenbosch : Stellenbosch University
Source SetsSouth African National ETD Portal
Languageen_ZA
Detected LanguageEnglish
TypeThesis
Formatxviii, 243 p. : ill.
RightsStellenbosch University

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