Isolated dc-dc converters with high-output voltage for TWTA - Ivo Barbi

Isolated dc-dc converters with high-output voltage for TWTA - Ivo Barbi Isolated dc-dc converters with high-output voltage for TWTA - Ivo Barbi

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Isolated dc-dc Converters with High-Output Voltage For TWTA Telecommunication Satellite Applications Roger Gules and Ivo Barbi Federal University of Santa Catarina -UFSC Power Electronic Institute - INEP P.O. Box 5 119 - 88010-970 - Florian6polis-SC-Brail Phone: +55-48-33 1-9204 - Fax: +55-48-234-5422 E-mail: roger@,ineD.ufsc.br Intemet: http://www.ineD.ufsc.br Abstract-Two alternatives for the implementation of an isolated dc-dc converter with high output voltage are presented. The proposed topologies are especially well adapted for the implementation of Travelling Wave Tube Amplifiers (TWTA) utilized in telecommunication satellite applications. The converters studied follow different principles and the main operation aspect of each topology is analyzed. The experimental results obtained from two prototypes with 150W of output power, total output voltage of 3.2kV and an input voltage variable from 26V until 44V are presented. The efficiency obtained operating with the nominal output power is higher than 93.4 YO for both structures. I. INTRODUCTION There are different applications where is necessary the use of high level DC voltages (thousands volt). Typical examples are COz laser-based systems, X-ray equipment for medical and industrial applications, cathode-ray-tubes and telecommunication equipment with vacuum tubes, like Travelling Wave Tube (TWT) utilized in communication satellite. The choice of most adequate solution depends of the design requirements of each specific application as cost, mass, volume, efficiency, reliability, etc. Other point in the choice of the converter is the highvoltage circuit non-idealities that present an important influence in the converter operation and the topology adopted must integrate these intrinsic parameters into the operation principle. Besides the leakage inductance, the high-voltage transformer also presents a winding capacitance referred to the primary side that due to the high number of tums in the secondary winding and the high transformer tums ratio, becomes important in-the converter operation. Fig. 1 presents the high-voltage transformer simplified model constituted by the primary leakage inductance (L d), magnetizing inductance (L,,,)and the equivalent capacitance referred to the primary side (C,) [ 1,2]. -HK nl: n2 Fig. 1. Simplified equivalent circuit of the high voltage and high frequency transformer. In the particular case of communication satellite applications studied in this paper, severe requirements must be attended due to the environmental conditions, reliability, mechanical and electrical specifications. The launch cost .is very high and there is a permanent interest in the efficiency improvement and reduction of the mass and volume in satellite equipment. High efficiency is important to achieve since the primary power source of a satellite is in general a solar array and batteries, presenting an important impact on total mass, volume and cost. The final stage amplifier in the transponder of the communication satellite is the Travelling Wave Tube Amplifier (TWTA). In this kind of satellite, the payload mass and power consumption is mainly given by the presence of the TWTA which can represent about 35% of the total mss and from 70% to 90% of the overall DC power consumption [3]. Therefore, the design of TWTA has been continuously improved in order to realize more light and efficient equipment. The TWTA consist of a microwave amplifier tube TWT mainly determining the radio frequency (RF) performance and by an Electronic Power Conditioner (EPC) for power matching of the DC interface. The high voltage dc-dc converter is the most important part of the EPC because it is the critical point in the design of a high efficiency and competitive TWTA. The input voltage of the dc-dc converter is an unregulated low voltage bus (from 26V until 44V) and in order to produce the TWT supply voltages there are multiple outputs in the dc-dc converter, resulting in a total cathode-anode voltage of thousands volts. 11. HIGH VOLTAGE DC-DC CONVERTERS There are different altematives for the implementation of an isolated dc-dc converter with high output voltage, however there are some operations characteristics that the converter must present in order to obtain high efficiency and reduced volume and mass. The main operation characteristics are: High switching frequency in order to reduce the reactive elements likes inductors, filter capacitors and the power transformer. Soft-commutation in the power switches, avoiding the reduction of the efficiency with the increment of the switching frequency. 0-7803-6618-2/011$10.000 2001 IEEE 296

<strong>Isolated</strong> <strong>dc</strong>-<strong>dc</strong> Converters <strong>with</strong> High-Output Voltage<br />

For <strong>TWTA</strong> Telecommunication Satellite Applications<br />

Roger Gules and <strong>Ivo</strong> <strong>Barbi</strong><br />

Federal University of Santa Catarina -UFSC<br />

Power Electronic Institute - INEP<br />

P.O. Box 5 119 - 88010-970 - Florian6polis-SC-Brail<br />

Phone: +55-48-33 1-9204 - Fax: +55-48-234-5422<br />

E-mail: roger@,ineD.ufsc.br Intemet: http://www.ineD.ufsc.br<br />

Abstract-Two alternatives <strong>for</strong> the implementation of an<br />

isolated <strong>dc</strong>-<strong>dc</strong> converter <strong>with</strong> <strong>high</strong> <strong>output</strong> <strong>voltage</strong> are presented.<br />

The proposed topologies are especially well adapted <strong>for</strong> the<br />

implementation of Travelling Wave Tube Amplifiers (<strong>TWTA</strong>)<br />

utilized in telecommunication satellite applications. The<br />

<strong>converters</strong> studied follow different principles and the main<br />

operation aspect of each topology is analyzed. The experimental<br />

results obtained from two prototypes <strong>with</strong> 150W of <strong>output</strong><br />

power, total <strong>output</strong> <strong>voltage</strong> of 3.2kV and an input <strong>voltage</strong><br />

variable from 26V until 44V are presented. The efficiency<br />

obtained operating <strong>with</strong> the nominal <strong>output</strong> power is <strong>high</strong>er<br />

than 93.4 YO <strong>for</strong> both structures.<br />

I. INTRODUCTION<br />

There are different applications where is necessary the<br />

use of <strong>high</strong> level DC <strong>voltage</strong>s (thousands volt). Typical<br />

examples are COz laser-based systems, X-ray equipment <strong>for</strong><br />

medical and industrial applications, cathode-ray-tubes and<br />

telecommunication equipment <strong>with</strong> vacuum tubes, like<br />

Travelling Wave Tube (TWT) utilized in communication<br />

satellite.<br />

The choice of most adequate solution depends of the<br />

design requirements of each specific application as cost,<br />

mass, volume, efficiency, reliability, etc.<br />

Other point in the choice of the converter is the <strong>high</strong><strong>voltage</strong><br />

circuit non-idealities that present an important<br />

influence in the converter operation and the topology adopted<br />

must integrate these intrinsic parameters into the operation<br />

principle. Besides the leakage inductance, the <strong>high</strong>-<strong>voltage</strong><br />

trans<strong>for</strong>mer also presents a winding capacitance referred to<br />

the primary side that due to the <strong>high</strong> number of tums in the<br />

secondary winding and the <strong>high</strong> trans<strong>for</strong>mer tums ratio,<br />

becomes important in-the converter operation. Fig. 1 presents<br />

the <strong>high</strong>-<strong>voltage</strong> trans<strong>for</strong>mer simplified model constituted by<br />

the primary leakage inductance (L d), magnetizing inductance<br />

(L,,,)and the equivalent capacitance referred to the primary<br />

side (C,) [ 1,2].<br />

-HK<br />

nl: n2<br />

Fig. 1. Simplified equivalent circuit of the <strong>high</strong> <strong>voltage</strong><br />

and <strong>high</strong> frequency trans<strong>for</strong>mer.<br />

In the particular case of communication satellite<br />

applications studied in this paper, severe requirements must<br />

be attended due to the environmental conditions, reliability,<br />

mechanical and electrical specifications.<br />

The launch cost .is very <strong>high</strong> and there is a permanent<br />

interest in the efficiency improvement and reduction of the<br />

mass and volume in satellite equipment. High efficiency is<br />

important to achieve since the primary power source of a<br />

satellite is in general a solar array and batteries, presenting an<br />

important impact on total mass, volume and cost.<br />

The final stage amplifier in the transponder of the<br />

communication satellite is the Travelling Wave Tube<br />

Amplifier (<strong>TWTA</strong>). In this kind of satellite, the payload mass<br />

and power consumption is mainly given by the presence of<br />

the <strong>TWTA</strong> which can represent about 35% of the total mss<br />

and from 70% to 90% of the overall DC power consumption<br />

[3]. There<strong>for</strong>e, the design of <strong>TWTA</strong> has been continuously<br />

improved in order to realize more light and efficient<br />

equipment.<br />

The <strong>TWTA</strong> consist of a microwave amplifier tube TWT<br />

mainly determining the radio frequency (RF) per<strong>for</strong>mance<br />

and by an Electronic Power Conditioner (EPC) <strong>for</strong> power<br />

matching of the DC interface. The <strong>high</strong> <strong>voltage</strong> <strong>dc</strong>-<strong>dc</strong><br />

converter is the most important part of the EPC because it is<br />

the critical point in the design of a <strong>high</strong> efficiency and<br />

competitive <strong>TWTA</strong>. The input <strong>voltage</strong> of the <strong>dc</strong>-<strong>dc</strong> converter<br />

is an unregulated low <strong>voltage</strong> bus (from 26V until 44V) and<br />

in order to produce the TWT supply <strong>voltage</strong>s there are<br />

multiple <strong>output</strong>s in the <strong>dc</strong>-<strong>dc</strong> converter, resulting in a total<br />

cathode-anode <strong>voltage</strong> of thousands volts.<br />

11. HIGH VOLTAGE DC-DC CONVERTERS<br />

There are different altematives <strong>for</strong> the implementation of<br />

an isolated <strong>dc</strong>-<strong>dc</strong> converter <strong>with</strong> <strong>high</strong> <strong>output</strong> <strong>voltage</strong>,<br />

however there are some operations characteristics that the<br />

converter must present in order to obtain <strong>high</strong> efficiency and<br />

reduced volume and mass. The main operation characteristics<br />

are:<br />

High switching frequency in order to reduce the reactive<br />

elements likes inductors, filter capacitors and the power<br />

trans<strong>for</strong>mer.<br />

Soft-commutation in the power switches, avoiding the<br />

reduction of the efficiency <strong>with</strong> the increment of the<br />

switching frequency.<br />

0-7803-6618-2/011$10.000 2001 IEEE 296


Integration in the converter operation of the intinsic<br />

elements of the <strong>high</strong>-<strong>voltage</strong> power trans<strong>for</strong>mer like<br />

leakage inductance and distributed capacitance, avoiding<br />

the dissipation of the energy stored in these elements.<br />

Constant switching frequency, allowing the choice of an<br />

optimum switching frequency <strong>with</strong> respect to the mass,<br />

volume and efficiency.<br />

0 Voltage source <strong>output</strong> characteristic, because the multiple<br />

<strong>high</strong>-<strong>voltage</strong> <strong>output</strong>s necessaries <strong>for</strong> to supply the TWT<br />

become unfeasible the utilization of <strong>high</strong>-<strong>voltage</strong> <strong>output</strong><br />

filter inductors <strong>for</strong> a current source <strong>output</strong> characteristic.<br />

Others operation characteristics are also desirable in <strong>TWTA</strong><br />

application:<br />

Input current source behavior that minimizes the volume<br />

of the input filter.<br />

A step-up <strong>output</strong> characteristic, allowing the reduction of<br />

the trans<strong>for</strong>mer turns ratio and minimizing the effects of<br />

the trans<strong>for</strong>mer equivalent capacitance in the converter<br />

operation.<br />

Good load regulation and support a large variation of the<br />

input <strong>voltage</strong>.<br />

Considering as choice criterion of the <strong>converters</strong> all<br />

operation characteristics presented above, two topologies<br />

were selected and studied. Two <strong>dc</strong>-<strong>dc</strong> <strong>converters</strong> connected<br />

in series (two-stage topology) compose most part of the<br />

structures developed <strong>for</strong> this application and the first<br />

topology adopted follows this principle. The second topology<br />

studied is based on a new single-stage structure <strong>for</strong> <strong>TWTA</strong><br />

applications.<br />

111. TWO-STAGE TOPOLOGY<br />

A. Proposed Circuit<br />

The first converter that composes the two-stage topology<br />

is a regulator (normally a classical buck or boost <strong>dc</strong>-<strong>dc</strong><br />

converter). The second structure is an isolated <strong>dc</strong>-<strong>dc</strong><br />

converter operating in resonant way, generating the different<br />

<strong>high</strong> <strong>voltage</strong> <strong>output</strong>s <strong>for</strong> supply the TWT. In this case, the<br />

isolated <strong>dc</strong>-<strong>dc</strong> converter operates in an optimized operation<br />

point, <strong>with</strong> constant switching frequency and fix duty-ratio.<br />

This configuration is normally utilized due to the difficulty in<br />

to obtain <strong>high</strong> efficiency in the isolated <strong>dc</strong>-<strong>dc</strong> converter.<br />

The two-stage topology studied in this work is presented<br />

in Fig.2. The first converter is a classical boost <strong>dc</strong>-<strong>dc</strong><br />

converter composed by the input inductor L power switch<br />

SI, diode D1 and a filter capacitor C The boost regulator<br />

operates <strong>with</strong> hard switching but <strong>with</strong> the utilization of a<br />

Schottky diode in its <strong>output</strong>, <strong>high</strong>-efficiency operating <strong>with</strong><br />

<strong>high</strong> switching frequency is reached.<br />

The second converter is a resonant push-pull current fed<br />

<strong>dc</strong>-<strong>dc</strong> converter composed by two power switches S and<br />

$2, an input inductor L z, a resonant capacitor C and the<br />

push-pull trans<strong>for</strong>mer. The <strong>output</strong>s are composed by fullbridge<br />

rectifier and filter capacitors. The intrinsic parameters<br />

of the trans<strong>for</strong>mer are also presented in Fig.2.<br />

The push-pull converter operates <strong>with</strong> zero current and<br />

zero <strong>voltage</strong> switching techniques (ZCWZVS). The softcommutation<br />

is not dependent of the load current because the<br />

energy stored in the magnetizing inductance per<strong>for</strong>ms the<br />

<strong>voltage</strong> transitions in the circuit capacitance.<br />

The main theoretical wave<strong>for</strong>ms of the isolated converter<br />

are presented in Fig.3.<br />

There are two resonant circuits in the operation of this<br />

converter. During the conduction of one power switch S or<br />

Sp2 (to-tl), the resonance between center tap capacitor (C T)<br />

and the trans<strong>for</strong>mer leakage inductance (L d) occurs. When<br />

both power switches are turned-off (tl-t2) there is the<br />

resonance between the magnetizing inductance and the<br />

intrinsic circuit capacitance (power switches and trans<strong>for</strong>mer<br />

equivalent capacitance). The current (i) presented in Fig.3 is<br />

the current in the center tap of the push-pull trans<strong>for</strong>mer.<br />

Input <strong>voltage</strong>: Vin=26/44V<br />

Total <strong>output</strong> <strong>voltage</strong>: Vo=32o0V<br />

Nominal <strong>output</strong> power: Po=ISOW :<br />

PI=SP2=APTZOM22LZVR<br />

SI= IRFp2Y<br />

D,= 8TQlOo<br />

Reclifis diodes = MUR 1 lo0<br />

.----_.<br />

Ferrite colc ETD39-IPITIhomton<br />

Fig.2. Power circuit implemented of the two-stage topology.<br />

297


Reference [4] presents more details about the operation<br />

of this converter.<br />

VCI<br />

I<br />

The switch conduction period is represented by the<br />

relative parameter (tr). The current and <strong>voltage</strong> ef<strong>for</strong>t<br />

increase <strong>with</strong> the reduction of the switch conduction time (tr).<br />

The relative frequency F is the relationship between the<br />

resonance frequency of the leakage inductance and the center<br />

tap capacitance, <strong>with</strong> the switching frequency. This<br />

resonance occurs during the conduction of the power switch.<br />

Fr2 is the relationship between the resonant frequency of<br />

the magnetizing inductance and equivalent circuit<br />

capacitance, <strong>with</strong> the switching frequency. This resonance<br />

occurs when both switches are tumed off.<br />

Substituting the specification and parameters in (1) yields:<br />

VCI<br />

VCI<br />

11 U 0 %<br />

Fig.3. Main theoretical wave<strong>for</strong>ms.<br />

B. Simplified Design Procedure<br />

1) Specifications andparameters<br />

The following specifications are considered in the design:<br />

Input <strong>voltage</strong>:<br />

Vi,,=26/44V<br />

Total <strong>output</strong> <strong>voltage</strong><br />

V0=3200V<br />

Output power:<br />

P0=150W<br />

Push-pull switching frequency:<br />

Fs=801


,=atan.( z.Fr .(I - t ) )=0.549<br />

<strong>voltage</strong> is presented in Fig.7. The lowest efficiency obtained<br />

<strong>with</strong> nominal <strong>output</strong> power was 93.4% <strong>for</strong> the minimum<br />

input <strong>voltage</strong>.<br />

TO* *coo 25 OMS,*<br />

715 ACqc.<br />

is:<br />

The switch RMS current is:<br />

is, = ./%- = 3.09A (13)<br />

The maximum blocking <strong>voltage</strong> across the switch (VS pk)<br />

7<br />

Zn = .,/$<br />

= 1.34<br />

a<br />

Fig.5.Power switch <strong>voltage</strong> and current (25V/2A/2p/div).<br />

vs, =-<br />

cos(,)<br />

+2.V2 =IOW<br />

With the increment of the leakage inductance L d due to<br />

the constructive characteristic of the trans<strong>for</strong>mer, the<br />

capacitor CT must be lower <strong>for</strong> the same resonant frequency<br />

F, as shown in (9). Thus the parameter Zn calculated by (14)<br />

and the <strong>voltage</strong> ef<strong>for</strong>ts increase <strong>with</strong> the increment of L d.<br />

5) Output Filter Voltage Ripple<br />

The parameterized <strong>output</strong> <strong>voltage</strong> ripple is calculated by<br />

(16) and (17).<br />

-<br />

AV=<br />

AVc,,*C;F, -<br />

_-.<br />

1 2<br />

I O z F;cos(~)<br />

a=otang( w.F,.(l- t,) )<br />

Where:<br />

I, - Average <strong>output</strong> current.<br />

CO - Filter capacitor<br />

AV,, - Output <strong>voltage</strong> ripple<br />

C. Experimental Results<br />

A laboratory prototype was implemented following the<br />

optimized design procedure developed and some wave<strong>for</strong>ms<br />

obtained from this prototype operating <strong>with</strong> the minimal<br />

input <strong>voltage</strong> and the nominal <strong>output</strong> power are presented.<br />

The details about the power circuit implemented are shown in<br />

Fig.2. A typical configuration of load resistance representing<br />

the TWT <strong>for</strong> the test of the power supply is used. The<br />

different current i d <strong>voltage</strong> level in each <strong>output</strong> and the<br />

nominal <strong>output</strong> power are defined by the kind of TWT<br />

considered in the design.<br />

Fig.5 presents the soft-commutation obtained in the<br />

power switch of the push-pull converter. Fig.6 shows the<br />

<strong>voltage</strong> and current in a rectifier diode of the push-pull. The<br />

efficiency curve of the two-stage topology (boost and Pushpull)<br />

operating <strong>with</strong> nominal <strong>output</strong> power and variable input<br />

S.<br />

Fig.6. Rectifier diode <strong>voltage</strong> and current (lOOV/50mA/2p Jdiv).<br />

9s<br />

94.5<br />

t1W) 94<br />

93.5<br />

94-s-<br />

93<br />

25 30 3s<br />

Vin (V)<br />

40 45<br />

Fig.7. Efficiency operating <strong>with</strong> nominal <strong>output</strong> power<br />

and variable input <strong>voltage</strong>.<br />

IV-SINGLE STAGE TOPOLOGY<br />

The main drawback of the two-stage topologies is the<br />

converter series connection that causes a reduction of the<br />

overall efficiency. Both <strong>converters</strong> must present a very <strong>high</strong><br />

efficiency (close to 96%) in order to maintain an adequate<br />

efficiency <strong>for</strong> a satellite communication application (<strong>high</strong>er<br />

than 92%).<br />

There<strong>for</strong>e, a single stage topology can result in a <strong>high</strong>er<br />

efficiency and a lower mass and volume than the two-stage<br />

topology. However, the isolated <strong>dc</strong>-<strong>dc</strong> converter operates<br />

<strong>with</strong> a variable operation point (non-optimum) due to the<br />

converter's regulation action. Thus, the single stage topology<br />

candidate must present all suitable operation characteristics<br />

<strong>for</strong> <strong>high</strong>-<strong>voltage</strong> applications described be<strong>for</strong>e and maintain a<br />

<strong>high</strong> efficiency in all range of the input <strong>voltage</strong>.<br />

A. Proposed Circuit<br />

For the implementation of a competitive <strong>high</strong>-<strong>voltage</strong><br />

isolated <strong>dc</strong>-<strong>dc</strong> converter, a single-stage <strong>high</strong>-efficiency<br />

topology is proposed. The power circuit adopted, presented in<br />

299


-____.<br />

Fig.8, is. based -on the current-fed push-pull <strong>dc</strong>-<strong>dc</strong><br />

converter operating <strong>with</strong> PWM modulation, active clamping<br />

and ZVS commutation [SI.<br />

Two main switches (S p1 and SP2), two auxiliary clamping<br />

switches (Sal and Sa), a clamping capacitor C G and a pushpull<br />

trans<strong>for</strong>mer compose the converter. The current feeding<br />

is provided by the <strong>voltage</strong> source V in in series <strong>with</strong> the input<br />

inductor Li,. The <strong>output</strong>s are <strong>for</strong>med by full-bridge rectifiers<br />

and by filter capacitors. The anti-parallel diode and intrinsic<br />

capacitance of the MOSFET are used in the circuit operation.<br />

The intrinsic parameters of the trans<strong>for</strong>mer are also presented<br />

in Fig.8.<br />

The main operation wave<strong>for</strong>ms are shown in Fig.9.<br />

Fig.8. Power circuit implemented of the single-stage topology.<br />

- - - __<br />

The- active clamping allows the operation <strong>with</strong> softcommutation<br />

in all switches until a minimum load and the<br />

<strong>voltage</strong> across the blocking switch is equal the clamping<br />

<strong>voltage</strong>.<br />

An important characteristic of this structure is to operate<br />

<strong>with</strong> a main switch duty-ratio (D) <strong>high</strong>er than and lower than<br />

0.5 (<strong>with</strong> overlapping and <strong>with</strong>out overlapping). The<br />

auxiliary switches operate in a complementary way in<br />

relation the respective main switch.<br />

For a main switch duty-ratio lower than 0.5, the converter<br />

operates like a sepic <strong>dc</strong>-<strong>dc</strong> converter and <strong>with</strong> a step-down<br />

<strong>output</strong> characteristic. For the operation <strong>with</strong> a main switch<br />

duty-cycle <strong>high</strong>er than 0.5, the converter operates like an<br />

isolated boost converter <strong>with</strong> a step-up <strong>output</strong> characteristic.<br />

There<strong>for</strong>e, this converter does not present inrush current <strong>for</strong> a<br />

progressive variation of the duty-cycle and support a large<br />

variation of the input <strong>voltage</strong>.<br />

There is the resonance between the leakage inductance<br />

and the parasitic trans<strong>for</strong>mer capacitance when both main<br />

switches are conducting. During this period the input<br />

inductance (Lin) stores energy and the oscillations does not<br />

present influence in the converter's operation.<br />

I .<br />

"spl " Sal ' Spl<br />

Gat ,<br />

, ' Sp2 Sa2 I'SP2 '* I<br />

' -4.T " M.T,, 4.T , , .PI 4" '<br />

T ><br />

D.T<br />

>'<br />

Fig.9. Main theoretidl wave<strong>for</strong>ms.<br />

t<br />

B. Simplified Design Procedure<br />

1) Specifications and parameters<br />

The following specifications are considered in the design:<br />

Input <strong>voltage</strong>:<br />

Vin=26144V<br />

Total <strong>output</strong> <strong>voltage</strong><br />

V,=3200V<br />

Output power:<br />

P,=150W<br />

Push-pull switching frequency: FS=80k&<br />

The parameters of the implemented circuit are:<br />

Magnetizing inductance:<br />

Lm=85W<br />

Leakage inductance:<br />

Ld26@<br />

Winding capacitance:<br />

Cp=8.75nF<br />

2) Operation point of the Push-pull converter<br />

The <strong>output</strong> <strong>voltage</strong> referred to the primary side (V op)<br />

adopted in the design is equal to SOV, considering the main<br />

300


switch duty-ratio <strong>high</strong>er than 0.5 and a step-up <strong>output</strong><br />

characteristic.<br />

The static gain, operating <strong>with</strong> the minimum and<br />

maximum input <strong>voltage</strong> are determined respectively by:<br />

gm = -%- = -<br />

50<br />

= 1.9231<br />

Vin,, 26<br />

vop 50<br />

4, =-- - - = I. I364<br />

Vin,, 44<br />

(19)<br />

The nominal input current operating <strong>with</strong> the minimum<br />

and maximum input <strong>voltage</strong>, considering the operation<br />

<strong>with</strong>out losses is:<br />

Po<br />

Iin, =-=5.77A<br />

Vin (20)<br />

Po<br />

Iin, = - = 3.41A<br />

Vin m,<br />

The parameter y represents a reduction of the effective<br />

converter duty-ratio due to the presence of the active<br />

clamping circuit. This characteristic is common in the most<br />

part of the ZVS-PWM <strong>converters</strong>. This parametet is<br />

proportional to the leakage inductance and input current.<br />

For the minimum and maximum input <strong>voltage</strong> results:<br />

Iin, * L, . F,<br />

Yvm = = 0.08308<br />

VOP<br />

lin, . L, . F, =<br />

Y, =<br />

0.04909<br />

VOP<br />

The nominal converter duty-ratio <strong>for</strong> the minimum and<br />

maximum input <strong>voltage</strong> is:<br />

Auxiliary switch:<br />

iSa, = lin, .&e,/-12 = 0.945A (29)<br />

4) Current ef<strong>for</strong>ts operating <strong>with</strong> the maximum input<br />

<strong>voltage</strong><br />

Main switch:<br />

iSp, = lin, . -. ,/15.y,+13-7.d, ~2.4324 (30)<br />

12<br />

Auxiliary switch:<br />

5) Soff-commutation range<br />

The minimal input current that maintains the softcommutation<br />

is defined by:<br />

Where:<br />

Z, =E (33)<br />

The soft-commutation range increase <strong>with</strong> Z , and Ld. The<br />

soft-commutation was obtained in all input <strong>voltage</strong> variation<br />

range and in an adequate load variation range.<br />

6) Output Filter Voltage Ripple<br />

The parameterized <strong>output</strong> <strong>voltage</strong> ripple is variable <strong>with</strong><br />

the static gain (4) and calculated by (34).<br />

2) Voltage ef<strong>for</strong>ts<br />

The clamping <strong>voltage</strong> operating <strong>with</strong> nominal <strong>output</strong><br />

power and minimum and maximum input <strong>voltage</strong> is:<br />

2<br />

V,, = Vin,, - = 147V<br />

l-dvm<br />

(26)<br />

L<br />

V,, = fin,, = 112.5V<br />

1 - d”X<br />

Thus the maximum blocking <strong>voltage</strong> across the active<br />

switches is equal to 147V.<br />

3) Current ef<strong>for</strong>ts operating <strong>with</strong> the minimum input<br />

<strong>voltage</strong><br />

Main switch:<br />

Where:<br />

I, - Average <strong>output</strong> current.<br />

CO - Filter capacitor<br />

AVco - Output <strong>voltage</strong> ripple<br />

C. Experimental Results<br />

A laboratory prototype was implemented following an<br />

optimized design procedure developed and some wave<strong>for</strong>ms<br />

obtained operating <strong>with</strong> the minimal input <strong>voltage</strong> and the<br />

nominal <strong>output</strong> power are presented. The details about the<br />

power circuit implemented are presented in Fig.8.<br />

Fig.10 shows the main switch current and <strong>voltage</strong><br />

wave<strong>for</strong>ms. The soft-commutation is obtained and the<br />

maximum switch <strong>voltage</strong> is equal the clamping <strong>voltage</strong>.<br />

The auxiliary switch <strong>voltage</strong> and current wave<strong>for</strong>ms are<br />

presented in Fig. 1 1. The auxiliary switch also presents soft-<br />

301


commutation and the RMS current and the conduction losses<br />

are very low.<br />

The efficiency curve operating <strong>with</strong> nominal <strong>output</strong><br />

power and variable input <strong>voltage</strong> is present in Fig.12. The<br />

lowest efficiency obtained <strong>with</strong> nominal <strong>output</strong> power was<br />

94.1 Yo.<br />

TeK StOL 25 OMS/5<br />

2<br />

503 ncqs<br />

FiglO. Main switch <strong>voltage</strong> and current (5OV/2A/2pddiv).<br />

TeK 5tOP 25 OMW5<br />

114 ncqs<br />

I<br />

The proposed <strong>converters</strong> are suitable <strong>for</strong> low input <strong>voltage</strong><br />

applications, because the blocking <strong>voltage</strong> switch is <strong>high</strong>er<br />

than two times the input <strong>voltage</strong> <strong>for</strong> both structures.<br />

The operation characteristics were verified by the<br />

implementation of the laboratory prototypes operating <strong>with</strong> a<br />

variable input <strong>voltage</strong> (26V/ 44V) and <strong>with</strong> 3.2kV of total<br />

<strong>output</strong> <strong>voltage</strong>. The lowest efficiency obtained operating <strong>with</strong><br />

the nominal <strong>output</strong> power is equal to 94.1% <strong>for</strong> the singlestage<br />

topology and equal to 93.4% <strong>for</strong> the two-stage<br />

topology. The single-stage topology proposed presents a<br />

lower mass and volume and <strong>high</strong>er efficiency than the two<br />

stages-topology studied.<br />

The <strong>output</strong> <strong>voltage</strong> ripple of the single-stage topology<br />

operating in the worst operation condition (<strong>high</strong>er static gain)<br />

was 30% <strong>high</strong>er than the two-stage topology <strong>with</strong> the same<br />

<strong>output</strong> filter.<br />

REFERENCES<br />

a<br />

I I I II/F I I I I<br />

Fig.11. Auxiliary switch <strong>voltage</strong> and current (50V/2A/2pddiv).<br />

94.9<br />

94.7<br />

94.5<br />

943<br />

94.1<br />

*<br />

93.7 93*9<br />

25 30 35 40 45<br />

Vin (V)<br />

Fig. 12. Efficiency operating <strong>with</strong> nominal <strong>output</strong> power<br />

and variable input <strong>voltage</strong>.<br />

V. CONCLUSIONS<br />

[ ‘1 B. Tala-Ighil, J-M. Nyobe-Yome and C. Glaize, “High-Voltage Variable-<br />

Frequency Double-Resonant DC-DC Converters Utilizing the<br />

l<br />

Tmsfomer Parasitic Elements,” Proceedings of the European Space<br />

Power Conference, Austria, p. 245-250, Aug. 1993.<br />

[ 1 J. Uceda, C. Blanco, M. A. Ptrez and M. RICO, “Design of the Delay<br />

Line Power Supply of a TWT,” Proceedings of the European Space<br />

Power Conference, Spain, p. 2123-2128, Aug. 1995.<br />

[3] LCeruti, M. Gambarara and D.Vigano, ‘Yew Generation EPC <strong>for</strong><br />

Medium Power TWTs,” Proceedings of the European Space Power<br />

Conference, Spain, p. 299-316, Sep. 1998.<br />

[4] A. H Weinberg and L.Ghislanzoni, “A New Zero-Voltage Zero-Current<br />

Power Switching Technique,” IEEE Transactions on Power Electronics,<br />

vol. 7, no. 8, p. 655-665, Oct. 1992.<br />

[5] F. J. Nome and 1. <strong>Barbi</strong>, “A ZVS Clamping Mode Current-Fed Push Pull<br />

DC-DC Converter,” ISIE’98, Pretoria, South Afric, pp. 617-621, Ju1.1998,<br />

[6] I. Arens and F. Tonicello, “ Conductance Control <strong>with</strong> a Boost Regulator<br />

<strong>for</strong> a High-Voltage Power Conditioner <strong>for</strong> a <strong>TWTA</strong>,” Proceedings ofthe<br />

European Space Power Conference, Ita&. p. 343-350, Sep. 1991.<br />

r71 P. Delporte, P. Fa9 and E. Pequet, “EPC and <strong>TWTA</strong> <strong>for</strong><br />

Telecommunication Satellites,” Proceedings of the European Space<br />

Power Conference, Spain, p. 305-310, Sep. 1998.<br />

Two alternatives <strong>for</strong> the implementation of a <strong>high</strong>efficiency<br />

isolated <strong>dc</strong>-<strong>dc</strong> converter <strong>with</strong> <strong>high</strong>-<strong>output</strong> <strong>voltage</strong><br />

<strong>for</strong> <strong>TWTA</strong> application were proposed and studied. Both<br />

structures present several operation characteristics suitable<br />

<strong>for</strong> <strong>high</strong> <strong>output</strong> <strong>voltage</strong> applications supplied by an<br />

unregulated input <strong>voltage</strong>.<br />

302

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