919
IEEE TRANSACTIONS ON MAGNETICS, VOL. 29, NO. 1, JANUARY 1993
A Pulse Forming Network and Test Fixture for Screening
Electrothermal Chemical Candidate Propellants
Duk I. Chang
Electric Armament Division
U. S. Army Research, Development and Engineering Center
Picatinny Arsenal, NJ 07806-5000
Brian Long
Parker Kinetics Design, P.O.Box 596, Wharton, NJ 07885-0596
Donald Chiu, Rod King
Energetics and Warheads Division
U. S. Army Research, Development and Engineering Center
Picatinny Arsenal, NJ 07806-5000
Joseph Hershkowitz
Geo-Centers, Lake Hopatcong, NJ
Abstract-A
pulse power supply has been
designed to support the development and evaluation
of candidate propellants for an Electrothermal
Chemical (ETC) gun program a t ARDEC.
The
flexibility needed for this evaluation is achieved
through the modular design of the test fixture and
power supply.
The test fixture is comprised of a
plasma chamber and instrumented combustion
chamber interconnected by a convergent-divergent
nozzle.
The combustion chamber is terminated by
an exhaust nozzle and overall thrust is measured.
The volume of both c h a m b e r s a n d nozzle
configurations
can
be
varied
to
optimize
performance. A 10 mm gun tube is an option. The
power supply is readily reconfigured to provide
either an RLC or PFN discharge.
Either
configuration can store up to 34 kJ and provide a
pulse between 0.5 to 2 ms. Load behavior and the
effects of parasitic energy losses on circuit
performance are presented.
The results will be
compared with PSpice c i r c u i t models.
A
presentation of the experimental pulse power
system and resulting data will be provided.
controlled electrical discharge into the combustion chamber.
This paper will discuss mainly the design process and test
results of the elctrical energy source and only touch upon the
test fixture.
11. ETCTEST FIXTURE
The ETC modular test fixture, shown in Fig. 1, is akin to
a 10 mm gun, properly scaled, and is adaptable for firing in a
gun configuration. The test fixture is a thick-wall vessel
consisting of a "plasma" chamber feeding a "combustion"
chamber thru a nozzle with the second chamber exhausting
through a nozzle to the exterior. The nozzles are designed to
produce choked flow. The internal diameter and the length of
the chambers can be modified by inserting different elements
into the body. The power supply connects to the anode
through windows in the pedestal, which is mounted on a
thrust gauge, with the cathode connection made through the
body. Two pressure gauges measure the pressure in the
combustion chamber.
111. PULSE POWER SUPPLY
I. INTRODUCTION
A. Design process
ARDEC is participating in a DOD effort to provide a major
increase in the effectiveness of gun propellants. The ETC
program seeks to extend projectile velocity, leading to greater
penetration and range, by going beyond the limitations of
solely chemical sources. The principal intent of the test
fixture is to provide a testbed for evaluating the candidate gun
propellants/working fluid from both industry and ARDEC
with respect to performance potential. The evaluation will be
done on a small scale here at ARDEC by providing a
Manuscript received by March 2, 1992. Parker Kinetics Design is
sponsored by ARDEC under Contract DAAA-21-90-C-0050. Geo-Centers
is sponsored by ARDEC under Contract DAAA-21-89-D-0030
The design parameters for this power supply required the
delivery of 3 to 12 kJ to the load in pulses between 0.5 and 2
ms. Load values predicted by the Loeb-Kaplan model [l]
ranged between 50 mi2 and 150 mi2 for this particular test
fixture. A square wave was the preferred pulse shape, however
an RLC discharge was not excluded. It was clear the power
supply would require a great deal of flexability to meet the
design parameters.
To provide the flexability necessary to vary the pulse width
and to match the load values it was decided to build a five
section pulse forming network, PFN, (Fig. 2 and 3) utilizing
0018-9464/93$03.00 0 1993 IEEE
I
920
In the design process, safety for an operator always took
precedence. To insure safety, all the accessible doors leading
into the power supply room and the test fixture room have
interlocks incorporated into the control system to safe the
power supply if a door was opened. Also, there are plexiglass doors in front of the power supply rack itself to protect
the operator. A safety stick is available to drain/short the
capacitors in the event of soft-dump system failure. Any
residual voltage retained by the capacitors is monitored at the
control room located 130 feet away from the power supply
room. A dc voltmeter is also mounted at the power supply
room so that the operator can verify the voltage is zero before
proceeding into the room. The interlock conditions are
monitored in the control room. The power supply will not
operate unless the interlock system is satisfied.
25
30
20
s
v
25
m
15
A PSpice* model was used to evaluate the power supply
performance under different operating conditions, including a
nonlinear load based on the Loeb-Kaplan equations for
confined high pressure discharges. These equations describe
the plasma parameters as functions of the discharge
parameters, such as ablation rate, plasma temperature,
resistivity, density, current and plasma chamber dimensions.
For a given geometry the plasma resistivity falls off
exponentially with increasing current. This load behavior was
also verified by BRL [4]. This equation along with the
analog behavioral modeling feature of PSpice was used to
control a variable resistor to simulate the load. The model
indicated that the plasma quickly moves into the milliohm
range and remains fairly constant over the duration of the
pulse. Current and Energy simulations for the nonlinear
Loeb-Kaplan model are shown in figure 4. Power supply
configurations for simulations LK1, LK2, and LK3
correspond to test #1, 2, and 3 mentioned in the 'Power
Supply Tests and Results' section.
B . Power Supply Tests and Results
Initial testing of the power supply was performed by
discharging energy into a configurable test load. The test load
shown in Fig. 5 can be configured from 25 mQ to 400 mQ.
* PSpice is a circuit analysis program from MicroSim Corporation, 20
Fairbanks, Imine, CA
gl
15
2
0
10
Y
10
5
-e
5
0
0
1
0.0
In addition to personnel protection, hardware protection was
also incorporated. When the test is conducted on the plasma
load, it is possible that the load may become an open circuit
during the discharge cycle and give rise to a fast change of
current vs time [3]. This would create an unwanted high
voltage in the inductor since the voltage of an inductor is
governed by Ldi/dt. To protect the inductor from over
voltage, a calibrated spark gap with a resistor in series is
placed in parallel with the plasma load as depicted in Fig. 2
(SW3 and Rs). The gap will break down at a set voltage and
provide an alternate energy dissipation path in the event of an
open circuit failure at the load.
20
0.5
1.0
1.5
2.0
3 .Ox10.-
Time(=)
Fig. 4. Current and energy obtained by PSpice model based on Loeb and
Kaplan equations.
1
4
5
8
Fig. 5 Test Load
Four tests were conducted. The first three tests were
performed in PFN configuration. Test #1 used only one 500
pF capacitor, test #2 used two 500 pF capacitors and test #3
used all three capacitors in each section of the five section
PFN. These configurations at appropriate charge voltages
store 8.5 kJ, 17 kJ and 34 kJ of energy, respectively. The
last test involved an RLC configuration discharge at full
energy. The maximum energy transfer occurs when the load
impedance matches to the characteristic impedance of the
power supply. Using (1) the matching impedance was
calculated for different power supply configurations.
PFN
Z = (L/C)''2
RLC
Z = 2(L/C)'j2
Though the test load is reconfigurable, it was found that
exact load matching could not be obtained. Therefore the
closest test load configuration was used. For all three PFN
discharges a 100 mQ load was used and for the RLC discharge
a 50 mQ load was used. Table I shows the test setup and the
numerical results. Fig. 6, 7 and 8 show the results of the
simulation and the experimental PFN tests. Current and
voltage were measured at the load by using current
transformers which provide inductive isolation from the
experiment. Actual load values calculated from the voltage
92 1
r-r-i
Maximum energy delivered at the narrowest pulse width
determined the 3 kV operating voltage for the capacitors. Due
to limited power supply room space, it was decided to use
high energy density metalized capacitors with an individual
clamping diode across each section of the PFN to provide the
necessary protection against voltage reversal on the capacitor.
Therefore, the power supply (Fig. 3) consists of fifteen 3 kV,
500 pF high energy density capacitors, five 10 p H inductors,
five clamping diodes, and an ignitron (sw2 in Fig. 2)used as a
closing switch
Cl=C?=C3=C4=C5= 1500 pF
Ll=U=L3=L4=L5= 10 pH
DIODES: CE A780.4200 V
Q = 100 Q, 150 watts
Rload = Plasma Load
R, = 4- 100 mR. Solid Disc type
SW1: Soft Dump Ross Relay
SW2: Size D Ignitron
SW3: Calibrated Spark Gap
Fig. 2. The 34-kT Power Supply Schamatic
3AP
120-
THRUSTGAUGE
Fig. 1. ETC Test Fixture
multiple capacitors in each section. Adding and deleting
these capacitors provide flexibility in choosing the desired
power supply configuration. This multiple component
method could also have been applied to the inductors but
limited space and the relative cost of inductors to capacitors
discouraged this option. Also, the modularity was achieved
by mounting the components on fiber-glass unislruts (Fig. 3)
where they can easily be reconfigured. The fiber-glass
unistrut rack measures 83 in x 52 in x 16 in. The capacitors
rest on angles which allow them to be easily unbolted from
the bus work and slid back to remove them from the circuit.
The inductors and bus work are mounted to vertical unistruts.
This provides for easy alignment during the construction via
sliding channel nuts as well as providing insulation between
components. The upper shelf houses the charging power
supply, soft dump and side D ignitron.
By matching the PFN impedance to the predicted load
values over the range of pulse width requirements it was
determined that three 500 pF capacitor in parallel feeding a 10
pH inductor in each section of the PFN would provide a
reasonable range of values within the design parameters [21.
Fig. 3. Photo of 34-kJ Power Supply
922
and current data were different from what was expected. The
calculated load values from the data were used for the PSpice
model simulation. The measured currents in Table I are an
average reading of each current profile.
C.Discussion
The test load dictates that Test #1 is underdamped, test #2
is slightly overdamped, and test #3 is overdamped ciruit. This
can be seen in Fig. 6, 7, and 8 current profiles, respectively.
Also from the trailing LR decay in Fig. 6, we can verify the
clamping diode has operated as desinged under the reverse
voltage condition. The test results followed extremely close
with the PSpice model calculations. This close agreement
indicates the effects of parasitic losses can be neglected. It
should be noted that these three PFN tests were conducted
within a half hour period. This demonstrates the ease with
which this power supply can be reconfigured.
Time (sec)
Fig. 7. Current and energy profile of Test #2 where two capacitors were
used in the each section of five section PFN.
TABLE I
m AND THE RESULTS
Tw S
20
35
30
15
Power Supply Config. PFN
2500
I C 0
CLOLH)
50
Charge volt (kV)
Matched R1-d (ma)
Actual R1-d (ma)
Expected I,,
(kA)
&A)
Measured,,I
Stored Energy (kJ)
Delivered Energy(ktJ)
Pulse Width (msec)
2.6
140
110
9.6
10.5
8.5
8.48
1
PFN
5000
50
2.6
100
107
13
12.5
17
16.7
1.25
PFN
7500
20
RLC
7500
10
3
73
50.6
38
33
34
33
1.5
50
3
81.6
107
17
16
34
32
1.5
1
25 p
10
15
U
"
10
5
M
0;l
Y
E
w
5
0
0
0.0
0.5
1.0
1.5
2.0
3 .Ox 16
'
Time(=)
Fig. 8. Current and energy profile of Test #3 where two capacitors were
used in the each section of five section PFN.
10000
,
Iv.
6000
-E
Y
SUMhfARY AND CONCLUSION
The design and performance of the power supply meets
requirements operating into fixed resistive loads. In the
Spring of 1992 the power supply will be used to create
plasma and a later paper will give details of the plasma test
and working fluid performance.
REFERENCES
- 2000
0.0
0.5
Time (sec)
Fig. 6. Current and energy profiie of Test #1 where only one capacitor
was used in the each section of five section PFN.
A. Loeb and Z. Kaplan, "A Theoretical model for the physical
processes in the confined high pressure discharges of Electrothermal
Launchers," IEEE Transactions on Magnetics, vol. 25, NO. 1 ,
pp342-346, January 1989
121 C. N. Glasoe and J. V. Lebacqz, Pulse Generator. New York:
McGraw-Hill, Inc.. 1948
[3] Conversation with Dr. Bob Greig at GT-Devices.
[4] G. L. Katulka, H. Burden, A. Zielinski, K. White, "Electrical energy
shaping for ballistic application in electrothermal guns," December
1991, BRL Technical Report# BRL-TR-3304, U.S. Army Ballistic
Research Laboratory, Aberdeen Proving Ground, MD 21005-5066
[l]