a simple snubber configuration for three-level gto inverters-jeong-hyoun
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246 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999
A Simple Snubber Configuration forThree-Level GTO Inverters
Jeong-Hyoun Sung, Student Member, IEEE, and Kwanghee Nam, Member, IEEE
AbstractA simple snubber configuration for three-level gateturn-off thyristor (GTO) inverters is proposed. The proposedsnubber has a single resistor per arm for stored energy dissipa-tion, while the conventional RLD/RCD snubber contains six. Thisimplies that the proposed snubber needs only one chopper circuitper arm for snubber energy recovery. This helps reduce the size,cost, and number of components. Besides the single resistor, theproposed snubber requires two less diodes per arm than theRLD/RCD snubber. Furthermore, the proposed snubber resolvesthe voltage imbalance problem between inner and outer GTOswithout additional components. We have analyzed the proposedcircuits and proven its performance through simulations andexperiments.
Index TermsEnergy recovery circuit, snubber circuit, three-level GTO inverter.
I. INTRODUCTION
IN HIGH-POWER systems, such as a steel mill drive, gate
turn-off thyristors (GTOs) are widely used. Due to the
high-power rating (6 kV, 6 kA) and the turn-off capability,
GTOs are much more attractive than conventional thyristors
for sophisticated applications. GTOs, however, require a
snubber circuit which limits the current and voltage rising rate
at the time of turning on and off, respectively. When turning on
a GTO, the current rising rate must be restricted below a
specified value to prevent an excessive initial current loading.When turning off a GTO, the voltage rising rate also
must be restricted below a specified value to avoid a sudden
heat pulse generation and to prevent retriggering by an internal
capacitance.
A number of snubber configurations have been proposed for
two-level GTO voltage source inverters [1][3]: the RLD/RCD
snubber, Undeland snubber, and McMurray snubber [1], [2].
The Undeland and McMurray snubbers are modified from
the RLD/RCD snubber, minimizing the number of snubber
circuit components. Specifically, they have a single resistor
per arm for energy dissipation. This is particularly useful in
constructing an energy recovery circuit. Holtz has investigated
an energy recovery circuit for the McMurray snubber that didnot employ a chopper [3].
The three-level inverter, often called a neutral point clamped
(NPC) inverter, is suitable for high-voltage applications since
it guarantees equal voltage sharing between serially connected
Manuscript received July 10, 1997; revised July 17, 1998. Recommendedby Associate Editor, L. Xu.
The authors are with the Department of Electrical Engineering, POSTECHUniversity, Pohang 790-784, Korea.
Publisher Item Identifier S 0885-8993(99)01825-6.
power devices. Furthermore, the three-level configuration con-
tributes to reducing voltage harmonics [4][8].
For the three-level system, the RLD/RCD snubber could be
constructed as shown in Fig. 1(a), but is impractical for energy
recovery, since it requires six discharging resistors in separate
locations on each arm. Furthermore, such a snubber would
cause a voltage imbalance between serially connected GTOs
when either or turns off, since the middle snubber
capacitors do not find their discharging paths due to
the blocking action of the clamping diodes This
imbalance imposes higher voltage stress on the inner GTOs
and may lead to a destruction of inner GTOs. Okayama et
al. [6] proposed a snubber circuit which is able to locate
energy recovery choppers at points of fixed voltage, such as
at the dc-link side or the neutral point. Hence, the chopper
bank capacitors can be connected in parallel among armsyielding a suitable structure for energy recovery. It also has
some noticeable characteristics such as a guaranteed voltage
balancing mechanism between serially connected GTOs and
a reduced capacitance of turn-off snubbers. However, it has
more components, compared with the RLD/RCD snubber. On
the other hand, Suh et al. extended the Undeland snubber to
the three-level system with overvoltage clamping capability.
This paper presents a new and efficient snubber configu-
ration for three-level GTO inverters. The proposed snubberconfiguration can be regarded as an extension of the Mc-
Murray snubber [1] to the three-level system. Advantages
of the proposed scheme are: 1) small number of parts; 2)
suitable structure for snubber energy recovery; 3) second-
order current dynamics in the period of the snubber capacitor
discharging; and 4) no voltage imbalance between serially
connected GTOs. We have analyzed the proposed circuit, and
proven its performance through simulations and experiments.
II. NEW SNUBBER CONFIGURATION
FOR THREE-LEVEL GTO ARM
A. Structure
The RLD/RCD snubber and the proposed snubber circuits
for a single arm appear in Fig. 1. The proposed snubber circuit
includes four shunt capacitors ( ), two se-
ries inductors ( ), four diodes ( ),
and a single resistor ( ). Table I compares the number of
components for the RLD/RCD snubber and the proposed
snubber. The proposed snubber includes a single resistor, while
the RLD/RCD snubber has six resistors. When a need to
construct an energy recovery system occurs, the advantage
08858993/99$10.00 1999 IEEE
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SUNG AND NAM: SIMPLE SNUBBER CONFIRMATION FOR THREE-LEVEL GTO INVERTERS 251
(a) (b) (c) (d)
Fig. 6. Commutation paths during the transition from S0
to S0 1
: (a) Initial state. (b) Step 1. (c) Step 2. (d) Step 3.
(a) (b)
(c)
Fig. 7. Equivalent circuits during the transition from S0
to S0 1
:
limit the voltage rising rate of At the final state,
the load current flows through the freewheeling diodes
and Commutation sequences and the equivalent circuits
are shown in Figs. 6 and 7.
Step 1): When is turned off, the load current rejected
by is absorbed by both and as shown in Fig. 6(b).
During the turn-off operation, the voltage over remains
while the voltage over increases. In Step 1,
decreases linearly from to zero during the period, i.e,
We obtain from Fig. 7(a) that
(32)
(33)
Note that the derivation process of (33) is similar to that of
(20). We obtain from (32) and (33) that
(34)
which is identical to (22). Hence, its solution is the same
as (24). This step ends at when reduces to zero.
Step 2): The equivalent circuit of Step 2 is shown in
Fig. 7(b). Note that this equivalent circuit is identical to
Fig. 5(b), since is assumed to be constant. Therefore,
the solution is given by
which is the same as (28). This step ends at
when reaches
Step 3): Due to the current flowing through , a voltage
overshoot is generated over This voltage overshoot will
disappear soon in the current loop We obtain
from Fig. 7(c) that
(35)
For simplicity, we assume that is equal to zero. Then, we
obtain from (35) that
(36)
(37)
Applying KCL at point P in Fig. 7(c) and using (36), (37), and
obtained from ,
we obtain
(38)
With the initial conditions and
, the solution and corresponding values
are obtained such that
(39)
(40)
where
IV. ENERGY RECOVERY CIRCUITS
In high-power inverter systems, it is common to recover the
energy stored in the snubber circuits [6], [12], [13]. To recover
the energy into the dc-link capacitor, a chopper circuit is used
in place of a dissipation resistor. Note again that our proposed
snubber has only one dissipation resistor on each arm. Thus
only one chopper per arm can handle the energy recovery as
shown in Fig. 8(a). Note that the number of choppers can be
reduced further to one for an inverter by using the isolation
transformers as shown in Fig. 8(b). In Fig. 8(a), the snubber
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252 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999
(a) (b)
Fig. 8. Energy recovery circuit. (a) For an arm. (b) Three-arm integration to a single chopper.
resistor is replaced by a capacitor to which chargesstored in are transferred whenever the
discharging paths are formed. If the capacitance of is
sufficiently larger than (for example, 100 times), can
be regarded as a voltage source. If the voltage level over
exceeds a threshold level, then the two insulated gate bipolar
transistors (IGBTs) begin to switch alternately. Energy can
then be delivered to the dc link during both turn-on and turn-
off periods. Energy transfer during the on period, however, is
undesirable because the current may go beyond the limits of
IGBT or diode rating. Hence, the turn ratio of the transformer
is chosen such that the energy is transferred during the turn-
off period (flyback chopper) [10], [11]. Using the two IGBTs
prevents the magnetization of the transformer [1], [3].We calculate the total energy transfer from the snubber
inductors and capacitors to storage capacitor in a
pulsewidth modulation (PWM) cycle. The stored energy in
inductor is transferred to the storage capacitor when
turns off from a conducting state [see Figs. 4(d) and 10]
and is equal to
(41)
In calculating the transferred energy from the snubber
capacitors to , we neglect since they are small
compared with There are two operations in the
change: when changes from to zero
and when changes from to The
amount of transferred energy for the two cases is different. In
the first case, the transferred energy is equal to
(42)
In the second case, the transferred energy is equal to
(43)
Therefore, for the PWM sequence
, neglecting the diode recovery current, the total energy
transferred to per arm is equal to
(44)
Thus, the chopper size or the power rating of dissipation
resistor must be estimated based on (44).
V. DESIGN PROCEDURE AND SIMULATION RESULTS
Based on the circuit analysis, we may summarize the design
procedure of the proposed snubber components.
A. Design Procedure
We assume that a proper GTO is selected for an inverter,
with a specified dc-link voltage and maximum load current
From the GTO manufacturers specification, we obtain
the critical rate of rise of off-state voltage and a
maximum rate of rise of on-state current
Step 1) (Capacitor): Choose capacitance such thatand
The voltage rating of capacitors
should meet and
Step 2) (Inductor): Choose inductance such that
Obviously, current rating of inductor
should be larger than
Step 3) (Resistor): To ensure safe discharging during
turn-on period, it is normal to choose such that
, where is the minimum
turn-on time of the GTO. The power rating of the resistor
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SUNG AND NAM: SIMPLE SNUBBER CONFIRMATION FOR THREE-LEVEL GTO INVERTERS 253
Fig. 9. Simulation results ( S0
to S1
) : (a) iL S 1
; i
D C 1
; (b) vL S 1
; (c)v
C S 1
; v
C S 2
; and (d) vC S 3
; v
C S 4
:
must be larger than , where
is the PWM switching frequency [see (44)].
For the experiment, we chose a GTO (ABB 5SGA
1028F0001) with the following ratings: A,
V, V/ s, and
A/ s, where is the repetitive peak off-state voltage and
is the maximum controllable turn-off current. For a
safe turn off, we limit V/ s. Additionally, the
maximum load current is assumed to be A.
We then obtain from Step 1) that F. Hence,
we choose F and F. For
a safe turn-on, we choose A/ s. Conforming
to Step 2), we choose H. Since s,
we let according to the inequality in Step 3).
B. Simulation Results
All the simulations were carried out for a three-level single
arm using the commercial simulation tool SABER with exam-
ple parameters which are described in the previous subsection.
We further assume that V and
A. Voltage and current transitions in the three basic
commutations are shown inFigs. 911. Fig. 9 shows the inductor current clamping
diode current inductor voltage and capacitor
voltages during the commutation from
to off, on). One can notice from Fig. 9(a) and
(b) that the presence of inductor helps reduce the current
growing rate of Note from Fig. 9(a) that is 260
A/ s, and the peak turn-on current of is almost 1000 A
while the load current is 300 A. This relatively large current
overshoot is caused, in part, by the charging current of
and and results in a voltage overshoot over as
shown in Fig. 9(d).
Fig. 10. Simulation results(
S
1
toS
0
) :
(a)i
L S
1
; i
D C
1
;
(b)v
G
1
;
(c)v
C S 1
; v
C S 2
; and (d) vC S 3
; v
C S 4
:
Fig. 11. Simulation results( S
0 toS
0 1
) :
(a)i
L S 2
; i
D C 1
;
(b)v
G 2
;
(c)v
C S 1
; v
C S 2
; and (d) vC S 3
; v
C S 4
:
TABLE IIICOMPARISON OF DATA OBTAINED FROM ANALYSIS AND
SIMULATION ( ED
= 2 6 0 0 V, IL O A D
= 3 0 0 A)
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SUNG AND NAM: SIMPLE SNUBBER CONFIRMATION FOR THREE-LEVEL GTO INVERTERS 255
(a) (b)
Fig. 13. Experimental plots during the transition from S0
to S1
: (a) iL S 1
; v
C S 1
; v
C S 2
: (b) vL S 1
; v
G 1
:
(a) (b)
Fig. 14. Experimental plots during the transition from S1
to S0
: (a) iL S 1
; v
C S 1
; v
C S 2
: (b) vC S 1
; v
G 1
:
Fig. 14(a) shows and when is turning
off during the transition from to The current decreasing
rate of is 15 A/ s under 85-A load current. Fig. 14(b)
shows the capacitor voltage and the corresponding
anodecathode voltage of Fig. 14(b) shows that the
rising rate of is controlled at 38 V/ s by the action of
The corresponding simulation result, although in different
condition, is shown in Fig. 10.
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256 IEEE TRANSACTIONS ON POWER ELECTRONICS, VOL. 14, NO. 2, MARCH 1999
(a) (b)
Fig. 15. Experimental plots during the transition from S0
to S0 1
: (a) iL S 2
; v
C S 1
; v
C S 2
: (b) vC S 2
; v
G 2
:
TABLE IVCOMPARISON OF DATA OBTAINED FROM ANALYSIS AND
EXPERIMENTS ( ED
= 1 0 0 0 V, IL O A D
= 8 5 A)
Fig. 15(a) shows and when is turning
off during the transition from to Fig. 15(b) also shows
and the anodecathode voltage of The rising rate
of is about 42 V/ s, which is about the same value as that
of shown in Fig. 14(b). Note further that from Fig. 15(b),
the anodecathode voltage of reaches V after
overshoot, but in the RLD/RCD snubber circuit, it can stay at
the maximum overshoot value, without returning to , due
to the blocking action of The corresponding simulation
result, although in a different condition, is shown in Fig. 11.
From all experimental figures, we can see that the voltage
rising rates of are the same, which verifies (2).Table IV shows data obtained from analytical solutions and
experimental results. We can see that both results agree, within
a small range for error or minor adjustments.
VII. CONCLUDING REMARKS
A simple snubber circuit is proposed for a three-level GTO
inverter/converter. In the proposed snubber circuit, all snubber
capacitors in an arm participate in limiting the voltage rising
rate of a GTO. Furthermore, an inductor is also integrated into
the capacitor circuit, thus there is no extra inductor energy
discharging circuit. From these facts, the proposed snubber
can be looked upon as an extended version of the McMurray
snubber for the three-level system. The characteristics of the
proposed snubber are:
1) small number of parts, especially a reduced number of
resistors;
2) suitable structure for snubber energy recovery;
3) second-order current discharging dynamics relieving the
large initial current loading to GTOs;4) guaranteed voltage balancing mechanism between seri-
ally connected GTOs;
5) reduced capacitance of snubber capacitors.
Simulation and experimental works have demonstrated the
validity of the proposed snubber.
REFERENCES
[1] W. McMurray, Efficient snubbers for voltage-source GTO inverters,IEEE Trans. Power Electron., vol. PEL-2, pp. 264272, July 1987.
[2] T. Undeland, F. Jenset, A. Steinbakk, T. Rogne, and M. Hernes,A snubber configuration for both power transistor and GTO PWMinverters, in IEEE PESC Rec., 1984, pp. 4253.
[3] J. Holtz and K. H. Werner, A nondissipative snubber circuit for high-power GTO inverters, IEEE Trans. Ind. Applicat., vol. 25, no. 4, pp.620626, 1989.
[4] A. Nabae, I. Takahashi, and H. Akagi, A new neutral-point-clampedPWM inverter, IEEE Trans. Ind. Applicat., vol. 17, no. 5, pp. 518523,1981.
[5] S. Tamai et al., 3 level GTO converter-inverter pair system for largecapacity induction motor drive, in EPE Annu. Meeting Conf. Rec., vol.13, Sept. 1993, pp. 4550.
[6] H. Okayama, M. Koyama, S. Tamai, and T. Fuji, Large capacity highperformance 3-level GTO inverter system for steel main rolling milldrives, in Conf. Rec. IAS Annu. Meeting, 96, pp. 174179.
[7] J. H. Suh, B. S. Suh, and D. S. Hyun, A new snubber circuit forhigh efficiency and overvoltage limitation in three-level GTO inverters,
IEEE Trans. Ind. Applicat., vol. 44, no. 2, pp. 145156, 1997.[8] B. S. Suh and D. S. Hyun, A circuit design for clamping an over-voltage
in three-level GTO inverters, in IECON 94, pp. 651656.
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SUNG AND NAM: SIMPLE SNUBBER CONFIRMATION FOR THREE-LEVEL GTO INVERTERS 257
[9] G. Seguier and F. Labrique, Power Electronic Converters. New York:Springer-Verlag, 1993.
[10] J. G. Kassakian, M. F. Schlecht, and G. C. Verghese, Principles of PowerElectronics. Reading, MA: Addison-Wesley, 1991.
[11] N. Mohan, T. M. Undeland, and W. P. Robbins, Power Electronics.New York: Wiley, 1995.
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Jeong-Hyoun Sung (S96) was born in Pusan,Korea, on August 6, 1970. He received the B.S.and M.S. degrees in electrical engineering fromPOSTECH University, Pohang, Korea, in 1995 and1997, respectively. He is currently working to-wards the Ph.D. degree in electrical engineering atPOSTECH University.
His main interests are ac motor control and powerinverter/converter systems.
Kwanghee Nam (S83M86) was born in Seoul,Korea, on September 26, 1956. He received theB.S. degree in chemical technology and the M.S.degree in control and instrumentation engineering,both from Seoul National University, Seoul, in1980 and 1982, respectively, and the M.A. degreein mathematics and the Ph.D. degree in electricalengineering from the University of Texas, Austin,in 1986.
He is currently an Associate Professor in the
Department of Electrical Engineering, POSTECHUniversity, Pohang, Korea. His main interests are ac motor control, high-power drives, power converters, and nonlinear systems analysis.