A Control Strategy for Unified Power Quality Conditioner

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A Control Strategy for Unified Power Quality
Conditioner
Luís F.C. Monteiro, Student member, IEEE, Maurício Aredes, Member, IEEE, and João A. Moor Neto
COPPE/UFRJ, Electrical Engineering Program
P.O.Box 68504, Rio de Janeiro, Brazil
E-mail: lfcm@coe.ufrj.br
of them is the unified power quality conditioner (UPQC), as
shown in Fig. 1. It consists of a shunt-active filter together
with a series-active filter. This combination allows a simultaneous compensation of the load currents and the supply
voltages, so that compensated current drawn from the network and the compensated supply voltage delivered to the
load are sinusoidal, balanced and minimized. The seriesand shunt-active filters are connected in a back-to-back
configuration, in which the shunt converter is responsible
for regulating the common DC-link voltage.
In the 30’s of the last century, Fryze [1] proposed a set
of active and non-active (reactive) power definitions in the
time domain. From these concepts, Tenti et al [2] developed a control strategy for shunt-active filters that guarantees compensated currents in the network that are sinusoidal
even if the system voltage at the point of common coupling
(PCC) already contains harmonics. However, this control
strategy does not guarantee balanced compensated currents
if the system voltage itself is unbalanced (i.e. it contains a
fundamental negative-sequence component). In [3], this
drawback was overcome, by the addition of a positivesequence voltage detector in the shunt-active filter controller. This control circuit determines the phase angle, frequency and magnitude of the fundamental positivesequence voltage component. This new control strategy has
been denominated as the “Sinusoidal Fryze Currents” con-
Abstract— This paper presents a control strategy for a Unified
Power Quality Conditioner. This control strategy is used in
three-phase three-wire systems. The UPQC device combines a
shunt-active filter together with a series-active filter in a backto-back configuration, to simultaneously compensate the supply voltage and the load current. Previous works presented a
control strategy for shunt-active filter that guarantees sinusoidal, balanced and minimized source currents even if under
unbalanced and / or distorted system voltages, also known as
“Sinusoidal Fryze Currents”. Then, this control strategy was
extended to develop a dual control strategy for series-active
filter. Now, this paper develops the integration principles of
shunt current compensation and series voltages compensation,
both based on instantaneous active and non-active powers,
directly calculated from a-b-c phase voltages and line currents. Simulation results are presented to validate the proposed UPQC control strategy.
Index Terms— Active Filters, Active Power Line Conditioners,
Instantaneous Active and Reactive Power, Sinusoidal Fryze Currents,
Sinusoidal Fryze Voltages.
I. INTRODUCTION
O
NE of the serious problems in electrical systems is the
increasing number of electronic components of devices that are used by industry as well as residences. These
devices, which need high-quality energy to work properly,
at the same time, are the most responsible ones for injections of harmonics in the distribution system. Therefore,
devices that soften this drawback have been developed. One
vS
vC
iS
iL
iC
L
L
C
Vdc
vf
PWM
voltage
control
vC*
iC* PWM
current
control
if
iS
vS
UPQC
controller
iL
Fig. 1. General configuration of the Unified Power Quality Conditioner — UPQC.
trol strategy.
This work exploits the use of that positive-sequence
voltage detector to develop a new control strategy for series-active filter. It is based on a dual minimization method
for voltage compensation, together with a synchronizing
circuit (PLL circuit). The synchronizing circuit is responsible to detect the fundamental frequency, as well as the
phase angle of the positive-sequence voltage component.
The dual minimization method is responsible to accurately
determine the magnitude of this voltage component. This
control strategy is denominated here as the “Sinusoidal
Fryze Voltages” control strategy.
Further, this paper presents the integration the “Sinusoidal Fryze Currents” and the “Sinusoidal Fryze Voltages”
control strategies into an UPQC controller. Additionally,
the proposed UPQC controller includes an algorithm that
provides damping in harmonic voltage propagation and
hinders load harmonic currents to flow into the network.
A complete model of the UPQC approach is implemented in a digital simulator and results is presented to
validate the proposed control strategy.
A. The Positive-Sequence Voltage Detector (V+1)
A positive-sequence voltage detector [V+1 voltagedetector block in Fig. 2(a)] in terms of "minimized
voltages" is developed. A dual principle for voltage
minimization is employed, together with a phase-lockedloop circuit (PLL circuit), as shown in Fig. 3. The used
PLL circuit is detailed in the next section.
In fact, this dual principle of voltage minimization is
used here for extracting "instantaneously" the fundamental
positive-sequence component ( V+1 in phasor notation, or
va1, vb1, vc1 as instantaneous values, as the outputs of Fig. 3)
from a generic three-phase voltage.
The distorted and unbalanced voltages vas, vbs, vcs of the
power supply are measured and given as inputs to the PLL
circuit. As shown in the next section, it determines the
signals ia1, ib1, ic1, which are in phase with the fundamental
positive-sequence component ( V+1 ) contained in vas, vbs, vcs.
Thus, only the magnitude of V+1 is missing. The
fundamental characteristic of the used PLL allows the use
of a dual expression for determining active voltages in the
form
vap 
ia1 
  vas ia1 + vbs ib1 + vcs ic1  
=
v
 bp 
2
2
2
ib1 
+
+
i
i
i
a
1
b
1
c
1
 vcp 
ic1 
 
II. THE UPQC CONTROLLER
Fig. 2 shows the complete functional block diagram of
the UPQC controller. The part shown in Fig. 2(a) is
responsible to determine the compensating current
references for PWM control of the UPQC shunt converter,
whereas the other part shown in Fig. 2(b) generates the
compensating voltage references for PWM series converter.
Next, each functional block of Fig. 2 will be detailed.
1
ial
ibl
icl
3
2
vas
vbs
vcs
vDC
(a)
va1
vb1
vc1
V+1
Voltage
Detector
DC
Voltage
Regulator
iac
Current
Minimization
as an artifice to extract the V+1 component from vas, vbs, vcs.
The reason is that the signals ia1, ib1, ic1 are three symmetric
sinus functions with unity amplitude, which correspond to
an auxiliary fundamental positive-sequence current I+1 that
is in phase with V+1 . Hence, the average value of the
"three-phase instantaneous power", 3V+1I+1cosφ, is maximum (would be zero if V+1 and I+1 are orthogonal), and
the average signal Rbar in Fig. 3 comprises the total amplitude of V+1 . Therefore, it is possible to guarantee that the
signals va1, vb1, vc1 are sinusoidal and have the same magnitude and phase angle of the fundamental positive-sequence
component of the measured system voltage.
ibc
ia1vas + ib1vbs + ic1vcs
ia21 + ib21 + ic21
icc
Gloss
2
4
ias
ibs
2
ics
3
va1
vb1
vc1
vas
vbs vcs
5
Damping
Controller
vah
vbh
vch
Compensating
Voltages
calculation
(1)
vac
vbc
vas
vbs
vcs
Low Pass Filter
5th Order
Butterworth
Cut freq. = 50 Hz
Rbar
ia1
PLL
Synchronizing
Circuit
R
ib1
ic1
3
vcc
(b)
Fig. 2. The functional block diagram of the UPQC controller for (a)
shunt UPQC converter and (b) series UPQC converter.
va1 = Rbar ⋅ ia1

vb1 = Rbar ⋅ ib1
v = R ⋅ i
bar c1
 c1
Fig. 3. The V+1 voltage detector diagram block
va1
vb1
vc1
1) The PLL Circuit
C. Current Minimization
The used PLL circuit (Fig. 4) can operate satisfactorily
under high distorted and unbalanced system voltages. The
inputs are vab = vas – vbs and vcb = vcs – vbs. The outputs of
the PLL circuit are ia1, ib1, ic1. The algorithm is based on
the instantaneous active three-phase power expression
p3φ = vabia + vcbic.
The current feedback signals ia(wt) = sin(wt) and
ic(wt) = sin(wt – 2π/3) are built up by the PLL circuit, just
using the time integral of output ω of the PI-Controller.
Note that they have unity amplitude and ic(wt) leads 120o
ia(wt). Thus, they represent a feedback from a positivesequence component at frequencyω. The PLL circuit can
reach a stable point of operation only if the input p3φ of the
PI-Controller has a zero average value ( p3φ = 0 ) and has
p3φ
minimized low-frequency oscillating portions in ~
( p3φ = p3φ + ~
p3φ ). Once the circuit is stabilized, the average value of p3φ is zero and, with this, the phase angle of
the positive-sequence system voltage at fundamental frequency is reached. At this condition, the auxiliary currents
ia(ωt) and ic(ωt) = sin(ωt – 2π/3), becomes orthogonal to
the fundamental positive-sequence component of the measured voltages vas, vcs respectively.
Therefore,
ia1(ωt) = sin(ωt – π/2) is in phase with the fundamental
positive-sequence component contained in vas.
Fig. 6 shows in details that functional block named
"Current Minimization" in Fig. 2(a). It determines the instantaneous compensating current references, which should
be synthesized by the shunt PWM converter of the UPQC.
It has the same kernel as the Generalized Fryze Currents
methods widely used, like in [4], [5] and [6]. The inputs of
the controller are the load currents ia1, ib1, ic1, the control
voltages va1, vb1, vc1 determined by the V+1 detector, and the
DC voltage regulator signal Gloss.
The conductance G is determined in Fig. 6 corresponds
to the active current of the load. In other words, it comprises all current components that can produce active power
with the voltages va1, vb1, vc1. A low-pass fifth order Butterworth filter is used to extract the average value of G,
which is denominated as Gbar. Now, since va1, vb1, vc1 comprises only the VD+1 component, Gbar must correspond to the
active portion of the fundamental positive-sequence component ( I+1 ) of the load current. The control signal Gcontrol
is the sum of Gbar and Gloss, which, together with the control
voltages va1, vb1, vc1, are used to determine the currents iaw,
ibw, icw. These control signals are pure sinusoidal waves in
phase with va1, vb1, vc1 and include the magnitude of the
positive-sequence load current (proportional to Gbar) and
the active current (proportional to Gloss) that is necessary to
compensate for losses in the UPQC.
Since the shunt active filter of the UPQC compensates
the difference between the calculated active current and the
measured load current, it is possible to guarantee that the
B. The DC voltage regulator
The dc voltage regulator is used to generate a control
signal Gloss, as shown in Fig. 2(a). This signal forces the
shunt active filter to draw additional active current from the
network, to compensate for losses in the power circuit of
the UPQC. Additionally, it corrects dc voltage variations
caused by abnormal operation and transient compensation
errors. This point is clarified later, where simulation results
are discussed. Fig. 5 shows the dc voltage regulator circuit.
It consists only of a PI-Controller [G(s) = Kp + KI/s], where,
for normalized inputs, Kp = 0.50 and KI = 80.
i a(ω t)
vab
X
p3φ
Σ
vcb
ωt
sin( ω t )
PI-Controller
ω
1
s
sin( ω t – π/2)
sin( ω t – π/2 – 2 π/3)
X
sin( ω t + 2 π/3)
i c (ω t)
sin( ω t – π/2 + 2 π/3)
va1ial + vb1ibl + vc1icl
va21 + vb21 + vc21
Low Pass Filter
5th Order
Butterworth
Cut freq. = 50 Hz
G
1
va1
vb1
vc1
i a1
Gbar
Gcontrol
Gloss
Σ
i b1
3
1
ial
i c1
ibl
icl
iaw
Fig. 4: The Synchronizing Circuit – PLL Circuit.
VDC_ref
ial
ibl
icl
+
Σ
low-pass
filter
PI –
controller
Gloss
iaw = Gcontrol ⋅ va1

ibw = Gcontrol ⋅ vb1
i = G
control ⋅ vc1
 cw
ibw
icw
iac = iaw − ial

ibc = ibw − ibl
i = i − i
 cc cw cl
–
iac
vDC
Fig. 5: The DC voltage regulator.
ibc
Fig. 6. The Current Minimization control algorithm.
icc
compensated currents ias, ibs, ics drawn from the network are
always sinusoidal, balanced and in phase with the positivesequence system voltages. This characteristic represents a
great improvement done at the “Generalized Fryze Currents” control strategy.
D. The Damping Control Algorithm
In a UPQC configuration, instability problems due to
resonance phenomena may occur. In order to enhance the
overall system stability, an auxiliary circuit can be added to
the controller of the series active filter. The basic idea consists in increasing harmonic damping, as a series resistance,
but effective only in harmonic frequencies, others than the
fundamental one. This damping principle was first proposed by Peng [7], in terms of components defined in the
pq Theory and used by Aredes [8] and Fujita [9]. The
damping control algorithm, now developed in terms of abc
variables (in the phase mode), can be seen in Fig. 7.
The inputs to the damping circuit are the source currents
ias, ibs, ics (compensated currents), which are flowing
through the series transformers of the UPQC, and the voltages determined by the V+1 voltage detector va1, vb1, vc1.
The active and non-active instantaneous powers are determined by using the equations (2) and (3);
P = va1ias + vb1ibs + vc1ics
;
Q = vaqias + vbqibs + vcqics
va1
3
va1ias + vb1ibs + vc1ics
va21 + vb21 + vc21
vb1
vc1
G
(2)
High Pass Filter
Butterworth
5th order
Cut off freq. =
= 50 Hz
Gcomp
High Pass Filter
Butterworth
5th order
Cut off freq. =
= 50 Hz
Bcomp
7
4
ias
ibs
vaq = (vb1 − vc1 ) / 3

vbq = (vc1 − va1 ) / 3

vcq = (va1 − vb1 ) / 3
ics
6
vcq
vbq
vaq
vaq ias + vbq ibs + vcq ics
2
vaq
+ vbq2 + vcq2
va1 vb1 vc1
Gcomp
7
Bcomp
8
B
5
iah = iap + iaq

ibh = ibp + ibq

ich = icp + icq
iaq = Bcomp .vaq

ibq = Bcomp .vbq

icq = Bcomp .vcq
vaq vbq vcq
iah
ibh
ich
vaq = (vb1 − vc1 ) / 3


;
(3)
vbq = (vc1 − va1 ) / 3

vcq = (va1 − vb1 ) / 3
Note that the voltages vaq, vbq, vcq are achieved from the
fundamental positive-sequence voltages va1, vb1, vc1. Therefore, it is possible to guarantee that the voltages vaq, vbq, vcq
are still sinusoidal and lag 90º the voltages va1, vb1, vc1, respectively. A conductance G and a susceptance B are determined from the calculated active and non-active instantaneous powers, as shown in Fig. 7. Then, high-pass, fifth
order Butterworth filters are used to extract the oscillating
parts of that conductance and susceptance.
The auxiliary currents iap, ibp, icp and iaq, ibq, icq, are determined as follows:
iap = Gosc ⋅ va1

;
(4)
ibp = Gosc ⋅ vb1

icp = Gosc ⋅ vc1
i aq = Bosc ⋅ v aq

ibq = Bosc ⋅ vbq

icq = Bosc ⋅ vcq
.
(5)
Damping signals (harmonic components still present in
the source currents) are determined as described in (6).
iah = iaq + iap

.
(6)
ibh = ibq + ibp

ich = icq + icp
Finally, the multiplication between the damping signals iah,
ibh, ich and a gain K determines the damping voltages vah,
vbh, vch. that will be added to the compensating voltage references of the series active filter of the UPQC, as will be
explained in the next section. Thus, the gain K acts as a
harmonic resistance to damp resonance phenomena.
E. Compensating Voltages Calculation
8
3
iap = Gcomp .va1

ibp = Gcomp .vb1

icp = Gcomp .vc1
where,
vah vbh vch
vah = K ⋅ iah

vbh = K ⋅ ibh
v = K ⋅ i
ch
 ch
Gain K
6
Fig. 7. Damping control algorithm in terms of abc variables.
The block diagram that determines the compensating
voltages vac, vbc, vcc [Fig. 2(b)], which is synthesized by the
series PWM converter, is shown in Fig. 8. The inputs are
the control voltages determined by the V+1 voltage detector:
va1, vb1, vc1, the source voltages: vas, vbs, vcs, and the damping voltages: vah, vbh, vch. The compensating voltage are:
vac = va1 − (vas + vah )

vbc = vb1 − (vbs + vbh )
v = v − (v + v )
c1
cs
ch
 cc
.
(7)
Ideally, the compensated voltages delivered to the critical
load will comprise only the fundamental positive-sequence
component (va1, vb1, vc1) of the supply voltage vS. The
damping voltages will improve stability and provide harmonic isolation.
5
3
va1
vb1
vc1
vah
vbh
ial
0.4
0.2
0.0
-0.02
-0.04
vch
iac
0.4
vac = va1 − (vas + vha )

vbc = vb1 − (vbs + vhb )
v = v − (v + v )
c1
cs
hc
 cc
vas
vbs
vac
vbc
vcc
0.2
0.0
-0.02
-0.04
ias
0.4
0.2
0.0
-0.02
-0.04
vcs
0.10
2
0.14
0.16
0.18
0.20
0.22
0.24
0.26
0.28
Fig. 9: Load current, current of the shunt active filter and source current.
Fig. 8. Compensating voltages calculation
As conclusion, the proposed UPQC control strategy provides compensated voltages and currents that are sinusoidal, balanced and minimized (in phase). Therefore, the
power factor is ideal, the voltages delivered to the load are
sinusoidal and balanced, and it is possible to guarantee that
the source currents will be sinusoidal, balanced and minimized even if under unbalanced and / or distorted system
voltages.
III. SIMULATION RESULTS
A test case was mounted to investigate the performance
of the UPQC filter through digital simulations, in the Saber
DesignerTM. Per unit (pu) quantities cannot be used directly
in this simulator. Thus, 1V (phase to ground) and 1A (line
current) were used as the basis of the system. A balanced,
1V, three-phase, voltage source is used. A three-phase sixpulse thyristor rectifier, with 0.2 A DC-current (20%), is
used as a non-linear load.
The shunt-active filter and the series-active filter start its
operation in 0.2s. The total simulation time is 0.8s. The
thyristor rectifier is connected at t = 0.1s. An inductor and
a resistor, whose values correspond to 0.1 % of the system
base impedance, compose the source impedance. In this
case, the short-circuit power at the load terminal is equal to
10 p.u. The small high-pass filters to mitigate switching
frequency harmonics at the series and shunt PWM converters are R=0.6 Ω and C = 170 µF. Although it seams a high
capacitor, it corresponds to 5% of the system baseimpedance. A capacitor of 2400µF is used at the DC link
of the UPQC. The reference voltage is equal to 4.5 V. To
give an idea of the capacitor’s dimension, the unit capacitor
constant (UCC) is calculated, by the following equation:
1
1
⋅ C ⋅V 2
⋅ 2400 µ ⋅ (4.5) 2
= 2
= 8.1ms
UCC = 2
P
3 ⋅ 1 ⋅1
0.12
that the source currents take to reach the steady state is
pretty small. This demonstrates that the proportional and
integral gains of the DC voltage regulator are well dimensioned.
Fig. 10 shows the supply voltage vas (uncompensated,
left side of the UPQC), the compensating voltage vac of the
UPQC, and compensated voltage vaw, delivered to the critical load, before and after the start of the series active filter.
The source voltage has 10% of negative-sequence component at the fundamental frequency, plus 5% of a 5th harmonic and 5% of a 7th harmonic. The vaw voltage, after the
start of the series active filter, becomes almost sinusoidal.
Fig. 11 shows the DC Link Voltage vDC and the losses in
the UPQC, represented by the Gloss signal. The reference
value at the terminals of the DC-link is equal to 4.5 volts. It
may be noticed, that the ripple at the DC-link voltage is
very small, in the order of 0.4% of the reference value during a short transient period, after the start of the UPQC, and
less than 0.1 %, in steady-state operation. The switching
losses of the inverters may not represent the reality, since
ideal models of switches in the digital simulator are used.
This condition is needed in the proposed system, because a
basis of 1V and 1A was chosen.
Fig. 12 shows the source currents ias, ibs, ics, the compensated voltages vaw, vbw, vcw, and the current ias together with
voltage vaw repeated in a separated graphic, before and after
vas
2.0
1.0
0.0
-1.0
-2.0
v ac
1.0
0.5
0.0
-0.5
-1.0
vaw
.
(8)
Fig. 9 shows the load, shunt and source currents ial, iac,
ias, before, and after the start of the shunt-active filter. After the start of the shunt active filter, the source current becomes almost sinusoidal. It may be noticed, that the time
2.0
1.0
0.0
-1.0
-2.0
0.10
0.12
0.14
0.16
0.18
0.20
0.22
0.24
0.26
0.28
Fig. 10. Supply voltage, compensating voltage, and the compensated
voltage delivered to the critical load.
the UPQC energization. It may be seen that, when the
UPQC start its operation the source currents, as well the
compensated voltages become almost sinusoidal and balanced. The source current ias and the compensated voltage
vaw are almost in phase after the start of the UPQC. It confirms that the control strategy proposed is useful in a threephase three-wire system, where the system voltages are unbalanced and distorted and the load currents with high contents of harmonics.
5.00
vDC
4.75
4.50
4.25
4.00
0.2
Gloss
0.1
0.0
-0.1
-0.2
IV. CONCLUSIONS
A control strategy for Unified Power Quality Conditioner — the UPQC — is proposed. Simulation results
have validated the proposed control strategy, for the use in
three-phase three-wire systems. In case of using in threephase four-wire systems, there is the necessity of compensating the neutral current. In this case, three-phase fourwire PWM converter is necessary.
The computational efforts to develop the proposed control strategy is reduced, if compared with pq-Theory-based
controllers, since the α-β-0 transformation is avoided. For
three-phase three-wire systems, the performance of the proposed approach is comparable with those based on the pq
Theory, without loss of robustness even if operating under
distorted and unbalanced system voltage conditions.
Presently, the authors are working on the possibility of
extending the proposed control strategy for the use in threephase four-wire systems.
V. REFERENCES
[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
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625-627, 700-702.
L. Malesani, L. Rosseto, P. Tenti, “Active Filter for Reactive Power
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Luís F.C. Monteiro, M. Aredes, “A Comparative Analysis Among
Different Control Strategies for Shunt Active Filters,” Proc.
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T. Furuhashi, S. Okuma, Y. Uchikawa, "A Study on the Theory of
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no.6, Nov./Dec. 1990, pp. 983-990.
M. Aredes, J. Häfner, K. Heumann, “ A Combined Series and Shunt
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Power Electronics, vol.13, No.2, March 1998.
0.1
0.2
0.3
0.4
0.5
0.6
Fig. 11. DC link voltage signal vDC and DC voltage regulator signal Gloss
vbw
vaw
vcw
2.0
1.0
0.0
-1.0
-2.0
ics
0.4
0.2
ias
ibs
0.0
-0.2
-0.4
vaw
2.0
1.0
ias
0.0
-1.0
-2.0
0.18
0.20
0.22
0.24
0.26
0.28
0.30
Fig. 12. Source currents, compensated voltages and the compensated
voltage vaw together with the source current ias
VI. BIOGRAPHIES
Luís Fernando Corrêa Monteiro was born in Rio de Janeiro State on
March 1975. He received the B. Sc. Degree from Federal University of
Rio de Janeiro in 2003. He is enrolled in M.Sc. at COPPE/UFRJ in Power
Electronics where is developing control strategies for active filters and
devices to improve the power quality in the electrical system. His Main
research areas of interest are Custom Power and FACTS. The engineer
Luís F. C. Monteiro is a student member of the Brazilian Power Electronics Society (SOBRAEP), International Electrical and Electronics Engineering (IEEE), and Council on Large Electric Systems (CIGRE).
Maurício Aredes (S’94, M’97) was born in São Paulo State, Brazil, on
August 14, 1961. He received the B.Sc. degree from Fluminense Federal
University, Rio de Janeiro State in 1984, the M.Sc. degree in Electrical
Engineering from Federal University of Rio de Janeiro in 1991, and the
Dr.-Ing. Degree (magna cum laude) from Technische Universität Berlin in
1996. From 1985 to 1988 he worked at the Itaipu HVDC Transmission
System and from 1988 to 1991 in the SCADA Project of Itaipu Power
Plant. From 1996 to 1997 he worked within CEPEL – Centro de Pesquisas
de Energia Elétrica, Rio de Janeiro, as R&D Engineer. In 1997, he became
an Associate Professor at the Federal University of Rio de Janeiro, where
he teaches Power Electronics. His main research area includes HVDC and
FACTS systems, active filters, Custom Power and Power Quality Issues.
Dr. Aredes is a member of the Brazilian Society for Automatic Control
and the Brazilian Power Electronics Society.
João A. Moor Neto was born in Rio de Janeiro State on 1965. He received
the B.Sc. Degree from UCP-RJ in 1991, and M.Sc. from Federal University of Itajubá in 1995. He is enrolled in D.Sc. at COPPE/UFRJ in Power
Electronics since 2002. In 1995 he became a Professor at UNIJUI-RS,
where he teaches Power System. His main research areas of interest are
FACTS and Custom Power.
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