DOI 10.21008/j.1897-0737.2018.95.0020
__________________________________________
* Maritime University of Szczecin
Maciej KOZAK*
APPLICATION OF SELF-EXCITED SYNCHRONOUS GENERATOR WITH INVERTER AS DC GRID VOLTAGE
SOURCE
Self-excited generators are the most popular voltage sources installed onboard of modern ships. Because of fuel savings on some specialized vessels (PSV, cable layers etc.) varying revolutions drives are used and this trend seems to increase. Very interest- ing issue is use of such type of alternator working with inverter acting as rectifier in DC grid system. As the control method most suitable to use is modified field oriented control known from induction machines. This control method involves decoupling of currents and control voltages to flux and torque components and keeping them in optimal (or- thogonal) condition. Theoretical background of inverter and synchronous generator adopted FOC control method along with experimental results obtained in laboratory of such system were presented.
KEYWORDS: Self-excited generator, FOC control, DC grid, controlled voltage source.
1. PROPERTIES OF SELF-EXCTITED SYNCHRONOUS GENERATOR WITH VOLTAGE REGULATOR
The 7 kVA self-excited synchronous generator (SESG) driven by squirrel cage motor was used for purpose of investigation. To obtain proper intermediate direct current voltage level electric generator has to be controlled in certain way.
Because of self-excitation and use of the compound transformer feeding voltage regulator in synchronous generator there is no need to independent control of reactive current control so the field oriented control (FOC) algorithm was cho- sen. Compound transformer is very important part of investigated system be- cause it assures proper excitation current that is composed of vector sum of re- sulting phase voltages and currents
In Fig. 1, the scheme of a brushless self-excited synchronous generator with compound excitation system and a voltage regulator is presented. The excitation winding of the synchronous generator receives power from the rotating rectifier, which is powered by a secondary coil of the compound current transformer. The compound transformer contains current coil (coilI) and a voltage coil (coilU). The
210
summatio in this ca source int signal.
F
To ens ditional co is provide
Fig. 2. In
The co nominal o age regul regulation
on of the both ase the capa
to a current
Fig. 1. Scheme o
sure a proper oil, which po ed.
nfluence of rotat
ompound tra one within th lator selects n is done by
h coils signal citors. Comp
source and
of automatic vo
r initial self-e owers the ex
tional speed on
ansformer is he range from
the redunda decreasing c
Maciej Kozak
ls is done by pound eleme
shifts the ph
oltage regulator
excitation of xcitation coil
n field current an winding curren
designed to m an idle to a
ant power ab current for m
k
y the compou ent converts hase (by abo
with compoun
f the synchro (field windin
nd waveforms c nt
provide a h an initial loa bove the no most of the o
und elements s coilU from out 90°) of th
nd transformer [
onous genera ng) through
close-up of rect
higher voltag ad. The autom ominal volta
peration tim
which are a voltage he voltage
2]
ator, an ad- a rectifier,
tified field
ge than the matic volt- age, so the me. Simpler
type of ex tional win
Fig. 3. Sch
All ex voltage re utilizes in pending o regulators speed, thu Fig. 3. w way.
Fig. 4. St
xcitation uni nding (coil0)
heme of voltage
xcitation dire egulator into nformation o on load powe s are design us the speed while no-load
tartup voltage o
it is used in nor inductio
e regulator emb den
ect current fl o excitation of currents, v er factor roto ned for cont change resu d startup pro
of self-excited s magn
investigated on exciter wit
bedded in invest noted as SDR 1
lows through windings. S voltages and or current. Mo
tinuous work ults in voltage cess generat
synchronous ge net generator P
d system. It d th rotating re
tigated system w 82/6
h two slip ri Still it is com
d phase shift ost of synchr k with almo e changes. A tor’s voltage
nerator (SESG) PMSG
does not con ectifier.
with compound
ings and bru mpound exc
t to create p ronous gener ost constant As it can be s e changes in
) compared to p
ntain addi-
d capacitors
ushes from iter which proper, de-
rators with rotational seen in the n nonlinear
permanent
212 Maciej Kozak
In contrary permanent magnet synchronous generators have more linear de- pendence between rotational speed and generated voltages, so PMSG’s slightly altered control techniques can be used for synchronous generators with com- pound voltage regulators. This property leads to conclusion that such type of generator can operate in limited range of rotational speed then PMSG.
1.1. Principle of synchronous generator operation
The classical control principle of the synchronous generators with independ- ent exciting winding is well known, considering the frequency and voltage con- trol by means of the active and reactive power adjustment. The active power is coming from the mechanical drive such as Diesel or gas combustion engines while the reactive power is commanded and controlled with the DC current exci- tation winding and voltage regulator. In most case the two control loops are op- erating separately each to others with use of RPM’s governor and voltage regu- lator. This kind of operation may be considered as a scalar control procedure, which disregards some phenomena, i.e. the coupling effect between electrical axis the synchronous generator [1]. The vector control is based on the field- orientation principle. It can be used as an AC induction motor drives control, but also for squirrel cage generator running. Because of its performance during tran- sient operation modes, it comes quite close to direct current machines. The mathematical background of the dynamic model and vector control of AC ma- chine is given by the space-phasor theory [1], [5]. Thanks to field oriented con- trol simplicity of DC machines control got into the AC motors and generators methods. The rotor flux oriented synchronous machine model is similar to a shunt excited direct current machine. It is suitable for the simulation of the syn- chronous generator operation, but the control will be realized with thefield ori- ented model considering the resultant stator flux. This model leads to the analo- gy with the compensated DC machine, which allows the independent control of the two variables that produce the machine torque [1], [4], [5], [6]. In Fig. 5 there are shown the stator field oriented components of the stator current:
sq
sd
s i i
i j (1)
while the armature coil flux equals to:
ss ssds j ssq s Lmdisd jLmqisq (2) where λs is the angular position of the resultant stator flux Ψs.
In gen which det negative d negative, tive powe produces componen phenomen triangle o [1]. In suc means act the stator resultant s mations (s
In ord taken into
Fig. 5. Diagra and the sta
nerating mod termines the due to the r due to its de er. The excit
the torque in nt of the fiel na in the sy f the machin ch a case, act tive and reac current has t stator flux Ψ see Fig. 7).
1.2. Synch
er to have a o consideratiam of the synch ator-field orient
de, the quad e active pow reversed acti emagnetizing ting current n the air-gap.
ld oriented e ynchronous m
ne powers be tive and reac ctive stator cu
to be oriente Ψssqλ, realized
hronous gen
simpler con ion regardinghronous generat ted space phaso
drature comp wer and dc in ive energy fl g character.
has influenc . Because of exciting curr
machine. Ne ecome also s ctive power c
urrent comp ed according d by a Clark
nerator FO
ntrol for SES g the producor with leading ors of the stator
ponent of th ntermediate c flow. Flux de This flux co ce on an act f decoupled c rent contribu eglecting the similar to tha can be contro onents. To c
to the magn e and Park (
OC control
SG some sim ced torque. Tg stator current, current [1]
he armature circuit volta enoted as Ψ orresponds to
ive compone control the lo utes to the m e stator resis at of the stato
olled indepen control the po
etizing direc (α-β and d-q
properties
mplification h The load torqflux Ψssdλ, age will be Ψssqλ is also o the reac-
ent, which ongitudinal magnetizing stance, the or currents ndently by ower flow, ction of the q) transfor-
have to be que can be
214
controlled strategy, t vector cur equal to 9 ity. The to is the one
where: p i After s after a few
Fig. 6
From very simp torque and
2. INVE
Contro drive app mediate v In a m active and provides c zero beca lating blo
d by controll the d axis cu rrent is align 90°. This is o
orque equati derived in:
is a number o substituting w simplificat
. Vector diagram
above equat ple to imple d machine cu
ESTIGATE
ol technique plications. M voltage contro manner of fie
d reactive cu constant DC ause of rotor ock (Machine
ling the torq urrent is kep ned with the one of the mo on for a SES
Te p 2
3 of pole pairs the d-q curre tions the torq
m for constant
Te
tion it can b ement, just b
urrent.
ED SYSTEM TO T
is based on Main advantagol with mean eld oriented
urrents. Acti C link voltag
current crea e equations
Maciej Kozak
que angle. In pt zero for a e q axis in o ost used cont SG, taking in
d sq
mi (L L
and ψm is fie ents in equat que value is t
torque control o
sq m
e i
T p
2
3
be easily obs by represent
M WITH G THE INVER
n FOC meth ge of propos ns of control control ther ive current i e Udc value, ating magnet
– see Fig. 7 k
n the constan ll of the ope order to mai
trol strategy nto account b
sd sq q i i L )
eld winding tion (3) as p the one prese
of SESG in stea
served that t ting the line
GENERAT RTER
hod known fsed method active curren e can be ind isq control lo while reacti tic flux. In ad 7) which can
nt torque ang eration time,
ntain the tor because of it both isd and i
flux.
presented in ented in equa
ady state operat
the control p earization be
OR CONN
from inducti is possibility nt loop.
dependently oop in d-q c ive current i ddition, ther n be useful
gle control while the rque angle ts simplic- isq currents
(3)
Fig. 6 and ation (4).
tion [6]
(4) property is etween the
NECTED
on motors y of inter-
controlled coordinates isd is set to re is calcu-
in case of
sensorless was utiliz Clark tran
Fig. 7.
The co space vec phase qua es. For ex expressed plex plane
The α- nitudes ac
Anothe the station the rotor i
s control of zed to obtain nsformations
Vector control
ore of FOC ctor propertie
antities as eas xample, spac d by two-pha e. Mathemati
-β componen ccording to:
x
er very usefu nary abc refe is called Park
generator. In n rotational sp
.
structure of the
is use of tra es there’s pos
sy to control ce vector xs ase magnitud
ically this re xs x jx nts of the spa
Re s x x
Im s x x ful set of equ
erence frame k transform.
n the investi peed and sta
e self-excited sy entation
ansformation ssibility of p l constant va representing des called xα lationship ca
2
3 xa a
ace vector ca
2 1
3 xa 2
23 23xa uations trans e to the d-q r
igated system ator field ang
ynchronous gen
s calculated rojection sin alues of curre g aforementio
and xβ in th an be written
2
b c
ax a x an be calcula
1
b 2 c
x x
3 2 xb
forms stator reference fra
m incrementa gle needed in
nerator with stat
in real-time nusoidal bala ents, voltages
oned quantit he real-imagi n as:
ated from the
phase quant ame which ro
al encoder n Park and
tor-field ori-
e. Using of anced three s and flux- ties can be inary com-
(5) e abc mag-
(6)
(7) tities from otates with
216
Equati time just chine inv need for r know valu nous gene functions indirect m or using m
2.1.
While ciple of m pacitors. B is minima tion.
Fig. 8. Cha
0
2 3
d q
x x x
ions given in to obtain va erter and DC rotating fram ue of rotation erator in the
and α-β pla methods of c machine state
Stand-alon
in so called maintaining c
Because of n al value of ge
ange of generat
cos cos
sin sin 1
2
n 4-8 are ha alues of curre
C link volta me angle θ c
nal speed of steady state ane voltages calculating ro
e simulators
ne work of t
volta
island opera constant DC nonlinear fluxenerator RPM
tor phase curren under re
Maciej Kozak
s 2 c
3 n 2
3 1 2 ard coded in
ents and vol age. To prop calculation. T f the shaft. In
angle is calc and currents otor position
and observer
the generat age control
ation synchro C voltage onx current dep M’s which e
nt due to speed esistive load of k
cos 2
3 sin 2
3 1 2 nto VDSP++
ltages needed per operation
To obtain ro n this particu culated with s. In the liter n angle by in
rs [3].
tor in dc in l loop
onous genera inverter’s in pendency on ensure proper
decrease (1500 f 2,1 kW.
a b c
x x x
+ and execut d for easy co n of algorithm
otor angle it ular system o utilizing trig rature there ntegration of
ntermediate
ator works in ntermediate n rotational s r excitation a
0 min-1 down to
(8)
ted in real ontrol ma- m there is
crucial to of synchro- gonometric
are shown f the speed
e circuit
n the prin- circuit ca- peed there and opera-
o 900 min-1)
In pres like in the depends o machine i rotor angl load, the stand-alon ing for sh cal load a term shou
With s values of voltage er ting more When DC the voltag ble.
To pre SESG inv diodes mu portant w used in po
As it c be fair en ing diode Although some adv
sented system e generator w on temporary inverters con le calculation voltage fre ne operation hort time nee applied to DC uld also chan
Fig. 9. Depend
significant e proportional rror increase e significant C voltage sign
ge overshoot
3. US
event circula verter and a ust be imple while parallelower electron can be seen i nough but in s are placed the negativ antages espe
m minimal s working with y rotational ntrol algorith
n and instan quency chan intermediat eded by PI re C bus can va nge.
dence between
rror value in l gain isq cha es above min
so the set v nal error dec t is relatively
SE OF AU
ating current another conv emented into ing generato nics circuits in Fig. 10 pl presented sy in series wi ve leg diode ecially whilespeed of ope h constant sp
speed and t hm. The con nt inverter fr
nges to the e circuit vol egulators to s ary in wide r
proportional ga
n actual DC anges in the m
nimal allowa voltage value creases propo y small and t
CTIONEE
ts flow thro verter conne o the power or in DC powwith control acing only o ystem was u th both the p
adds losses ground fault
eration was s peed the resu this relations ntrol method requency cha stable poin ltage Udc cha set error valu range so the
ain term and DC
voltage wh manner show able level pro e can be obt ortional gain the oscillatio
ERING DIO
ough conduccted in para circuit [5].
wer grid. Su led rectifiers one diode on used another
positive and s to the syst t operation.
set to 800 RP ulting electri ship is inclu d is based on
anges. With nt of operati anges with lo ue to zero. T
values of pr
C bus voltage e
hile transient wn in Fig. 9.
oportional te tained in sho
term also de ons are gettin
ODES
ting transist allel the auc This is espe uch systems a s and power d positive out approach. A negative out tem this appPM’s. Un- ical power ded in the n real time increasing on. While oad apply- The electri- roportional
error
processes When DC erm is get-
orter time.
ecreases so ng negligi-
tors of the ctioneering ecially im-
are widely diodes.
tput would Auctioneer-
tput feeds.
proach has
218
Since sion, com tion of th eering dio downstrea buses and lead to hi needs to b
3.1. P Auctio rect volta controlled asynchron sen as it equipped nying dev Another g batteries a synchroni of voltage sented sys in Fig. 10 trols level maintaine
Fig. 10. Sch
symmetry is mmon mode a he dual groun
odes in the p am loads du d the asymm gh common be managed b
arallel work oneering diod age sources d rectifiers in nous squirrel
is shown in with dedica vices reduces great benefit and work w izers because es to the lev stem is robus 0 while paral l of DC bus ed voltage ch
heme of propose
desirable in and different nd fault scen
ositive feed uring a dual metry of aucti
mode circul by converter k of the self des allow pa
like DC-DC n DC grid. I l cage genera
Fig. 10. In ated inverters
s weight and of using DC ith varying r e connecting el of commo st power dist llel grid ope
voltage. Be hanges sligh
Maciej Kozak
ed system with
n systems tha ial mode beh nario leads t
only will mi ground faul ioneering dio lating curren r controls and
excited sync arallel operat C converters In the invest ator (SCG) w
such a grid s but lack of d size of ship C system wo
rotational sp g other DC s on bus voltag
tribution alg eration works ecause of its htly accordin k
use of auctione
at involve sw havior is imp o following itigate voltag t of opposite odes in the p nts between D
d protections chronous ge tion of SESG
or other typ tigated system with its mach
all of the A f transformer ps electrical orking in par peed. Such s sources is ba
ge. Another orithm. Gen s as a so cal power (this ng to electric
eering diodes
witching pow portant. The conclusions ge doubling s
e polarity on positive feed DC/DC conv s [6].
enerator in d G along with pes of gene m as other D hine inverter AC consumer rs and other system of ab rallel is possi
ystem doe n ased on sligh great thing erator denote lled “master”
is weak grid cal load. Sy
wer conver- considera- s. Auction- stresses on n opposite d only will verters that
dc grid h other di- erators and
DC source r was cho- rs must be
accompa- about 30%.
ible use of not require ht changes about pre- ed as SCG
” and con- d) level of ynchronous
generator active cur generator ly unlimit algorithm
In para SESG an change an
Fig.
in parallel m rrent isq and
and inverter ted number o m.
Fig. 1
allel operatio d another so nd such type
12 Process of p
mode works in case of e r decreases to of converters
11 Process of pa
on control alg ource in ord
of control is
parallel operatio
in power sh exceeding th oo. This met s and genera
arallel connecte
gorithm can der to synch s shown in Fi
on SESG in pow change
haring mode his value vol thod allows c ators equippe
ed SESG load s
be set to dis hronous gene
ig. 12.
wer sharing mod
e. There is li ltage drops connection th ed with curre
haring
stribute powe erator rotatio
de while rotatio
imit set on so load of heoretical- ent control
er between onal speed
onal speed
220 Maciej Kozak
As it can be observed that with rotational speed increase active current value drops because the amount of generated power is still the same. What is im- portant all characteristics can be customized for flawless work with digital ener- gy management system and digital governors to obtain optimal fuel consumption by prime movers [5].
4. CONCLUSIONS AND FURTHER WORK
Proposed system including variable speed generators in altered versions is now tested onboard of few seagoing specialized vessels. Estimated fuel savings values are in range between 22% and 30% depending on the ships work condi- tions. As it was proven in laboratory test bench system is very stable and DC voltage variations does not exceed 5% in steady state and 10% in transient oper- ation. Further work will focus on integrating ultracapacitors with controlled DC- DC converter to presented system. Thanks to its properties, the system will be further developed towards further optimization and easy integration with exist- ing solutions.
BIBLIOGRAPHY
[1] Imecs M., Iov Incze I., Szabo C., Stator-Field Oriented Control of the Synchronous Generator: Numerical Simulation, 2008 International Conference on Intelligent En- gineering Systems, ISSN 1543-9259, 2008.
[2] Djagarov N. F., Lazarov T., Investigation of Automatic Voltage Regulator for a Ship’s Synchronous Generator, European transactions on electrical power engi- neering 2016/33, pp. 16-21, 2016.
[3] Rashed M., MacConnell P.F.A., Stronach F., Acarnley P., Sensorless Indirect- Rotor-Field-Orientation Speed Control of a Permanent-Magnet Synchronous Motor With Stator-Resistance Estimation, IEEE Transactions on Industrial Electronics, Volume 54, Number 3, pp. 1664-1675, 2007.
[4] Kozak M., Bejger A., Gordon R., Control of squirrel-cage electric generators in parallel intermediate dc circuit connection, Zeszyty Naukowe Akademii Morskiej w Szczecinie, Volume 45, Number 117, pp. 17-22, 2016.
[5] Baktyono S. A Study of Field-Oriented Control of a Permanent Magnet Synchro- nous Generator and Hysteresis Current Control for Wind Turbine Application, The Ohio State University, 2006.
[6] Balog, R., Krein, P.T.,Bus Selection in Multibus DC Microgrids. IEEE Transac- tions on Power Electronics. Volume 26, Number 3, pp. 860–867, 2011.
(Received: 08.02.2018, revised: 15.03.2018)