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10 th International Symposium<br />

„Topical Problems in the Field of Electrical and Power Engineering“<br />

Pärnu, Estonia, January 10-15, 2011<br />

<strong>Current</strong>-<strong>fed</strong> <strong>double</strong> <strong>inductor</strong> <strong>push</strong>-<strong>pull</strong> <strong>DC</strong>/<strong>DC</strong> <strong>converter</strong> <strong>with</strong> <strong>closed</strong><br />

loop control system<br />

Aleksandrs Andreičiks, Ingars Steiks, Kristaps Vitols, Leonids Ribickis<br />

Riga Technical University<br />

aleksandrs.andreiciks@inbox.lv, ingars.steiks@rtu.lv, ktx@inbox.lv, leonids.ribickis@rtu.lv<br />

Abstract<br />

In order to use hydrogen fuel cells in domestic<br />

applications either as main power supply or backup<br />

source, their low <strong>DC</strong> output voltage has to be<br />

matched to the level and frequency of the utility<br />

grid AC voltage. Such power <strong>converter</strong> systems<br />

usually consist of a <strong>DC</strong>-<strong>DC</strong> <strong>converter</strong> and a <strong>DC</strong>-<br />

AC inverter. A <strong>double</strong> <strong>inductor</strong> step-up <strong>push</strong>-<strong>pull</strong><br />

<strong>converter</strong> <strong>with</strong> the output voltage and the input<br />

current control is investigated in this paper,<br />

presenting simulation and experimental results for<br />

passive and active overvoltage clamping. The<br />

prototype of the investigated <strong>converter</strong> is elaborated<br />

for 1200 W power to match the rated power of the<br />

proton exchange membrane (PEM) fuel cell<br />

located in hydrogen fuel cell research laboratory.<br />

Keywords<br />

Fuel cell system, high frequency power <strong>converter</strong>s,<br />

ZVS <strong>converter</strong>s<br />

groups – voltage source <strong>converter</strong>s and current <strong>fed</strong><br />

<strong>converter</strong>s. In this paper a current <strong>fed</strong> topology is<br />

preferred, since it is characterized by low input<br />

current ripple, which is more appropriate for proton<br />

exchange membrane fuel cells modules [3],[4].<br />

.Considering the necessity of high voltage boosting<br />

function <strong>with</strong> low input current ripple, the most<br />

appropriate <strong>converter</strong>s are current <strong>fed</strong> full-bridge<br />

and <strong>push</strong>-<strong>pull</strong> configurations. Since the <strong>converter</strong><br />

efficiency can be considerably improved by<br />

reducing the count of the primary switches and<br />

implementing a transformer of a simple structure<br />

(<strong>with</strong>out split windings), a <strong>double</strong> <strong>inductor</strong> <strong>push</strong>-<strong>pull</strong><br />

<strong>converter</strong> (DIC) was selected and analyzed in this<br />

paper Fig. 1. The <strong>converter</strong> is elaborated for 1200 W<br />

power, since such is the rated power of the proton<br />

exchange membrane (PEM) fuel cell in hydrogen<br />

fuel cell research laboratory of Riga Technical<br />

University.<br />

Introduction<br />

The research of the hydrogen energy has gained a<br />

growing interest in the recent years. The hydrogen<br />

fuel cells are fully ecological, taking into account<br />

that heat and water are the only by-products, which<br />

are excreted into the environment [1]. In order to<br />

utilize the electrical energy, produced by fuel cells,<br />

characterized by slow dynamic response, low output<br />

voltage and large voltage variations, static power<br />

<strong>converter</strong>s are researched widely.<br />

The fuel cells used as main power supply or backup<br />

source in domestic application need to be connected<br />

to the grid. Such power <strong>converter</strong> systems usually<br />

consist of a <strong>DC</strong>-<strong>DC</strong> <strong>converter</strong> and a <strong>DC</strong>-AC<br />

<strong>converter</strong>. Because of comparatively high input and<br />

output voltage difference, most frequently as the<br />

optimal solution <strong>converter</strong>s <strong>with</strong> high frequency<br />

transformer are acknowledged for the <strong>DC</strong>-<strong>DC</strong> stage<br />

[1]-[4]. There are many known transformer isolated<br />

dc-dc <strong>converter</strong> topologies, which could be suitable<br />

to perform the necessary voltage boost from the fuel<br />

cell voltage level to the inverter dc link voltage.<br />

Such <strong>converter</strong>s are the full-bridge, half-bridge, the<br />

flyback, the forward and the <strong>push</strong>-<strong>pull</strong> basic<br />

topologies, as well as a number of their derived<br />

topologies [5], [6]. These can be divided into two<br />

Fig. 1. <strong>Current</strong> <strong>fed</strong> <strong>double</strong> <strong>inductor</strong> <strong>push</strong>-<strong>pull</strong><br />

<strong>converter</strong> topology<br />

The hard switching <strong>converter</strong>s have a drawback of<br />

voltage overshoots at turn-off due to the energy<br />

stored in the parasitic inductances. These voltage<br />

spikes are not only dangerous to the transistors but<br />

they substantially increase the switching losses.<br />

There are two basic ways to protect the transistor<br />

switches from being damaged by the overvoltage.<br />

The first is using transistors <strong>with</strong> blocking voltage<br />

ratings that exceed these stresses. This, however,<br />

results in poor utilization of the transistors, since on<br />

state resistance of the MOSFET transistors increases<br />

dramatically <strong>with</strong> increased blocking voltage.<br />

1 Control of the <strong>converter</strong><br />

To control the designed <strong>converter</strong> it will be<br />

compared two control types, the duty-cycle and the<br />

current control. In all switching <strong>converter</strong>s, the<br />

output voltage is desired to be kept constant, in<br />

156


despite of the disturbances in the <strong>converter</strong> element<br />

values, or inputs. For this, a control system is needed<br />

which can automatically adjust the duty cycle as<br />

necessary to keep constant the output voltage <strong>with</strong>in<br />

an acceptable range, regardless of the load current or<br />

input changes. [5]<br />

Two types of control for the DIC <strong>push</strong>-<strong>pull</strong> boost<br />

<strong>converter</strong>, the direct duty-cycle control and the<br />

current control. In the following will be briefly<br />

described both of them, enumerating some<br />

advantages and disadvantages for each. Basic<br />

scheme is depicted by Fig. 2.<br />

Fig. 2. Control of the <strong>converter</strong><br />

1.1 Duty Cycle control<br />

In duty-cycle control model the output voltage is<br />

measured and then compared to the reference<br />

voltage. The error signal is used as input in the<br />

compensator, which will compute from it the dutycycle<br />

reference for the pulse-width modulator. Its<br />

principle is illustrated Fig. 3.<br />

Fig. 3. Direct duty-cycle control scheme<br />

1.2. <strong>Current</strong> control<br />

In current control model the <strong>converter</strong> output is<br />

controlled by choice of the transistor peak current.<br />

The control signal is a current and a simple control<br />

network switches on and off the transistor such its<br />

peak current follows the control input.<br />

In the literature [5] and [6] is stated that the current<br />

control, in the case of an isolated boost <strong>push</strong>-<strong>pull</strong><br />

<strong>converter</strong> has some advantages against the dutycycle<br />

control. First, it has simpler dynamics<br />

(removes one pole from the control-to output<br />

transfer function). Second, it makes use of the<br />

current sensor information in normal operation mode<br />

– transistor failures due to excessive currents can be<br />

prevented by limiting the reference switch current.<br />

In the transformer can be induced a dc bias current<br />

by small voltage imbalances due to the small<br />

differences in boost <strong>inductor</strong>s and/or switches.<br />

The current control will alter the switch duty cycles<br />

in a way that these imbalances tend to disappear and<br />

the transformer volt-second balance to be<br />

maintained.<br />

The disadvantage is that the current control has a<br />

susceptibility to noise in the reference and measured<br />

switch current signals. In general, a small amount of<br />

filtering is necessary for the measured current. The<br />

current control becomes unstable whenever the dutycycle<br />

becomes larger than 0.5. This drawback can be<br />

overcome by adding an artificial ramp to the<br />

reference current signal.<br />

Considering the above arguments, the current<br />

control seems to be more attractive for the present<br />

application.<br />

1.3 The current controlled <strong>converter</strong> model<br />

Evaluating the model of the current controller<br />

implies the calculation of the relation between the<br />

<strong>inductor</strong> current and the control signal Fig. 4. In our<br />

case there are two <strong>inductor</strong>s and in the relation will<br />

be used the sum of these two <strong>inductor</strong> currents.<br />

Fig.4. <strong>Current</strong> control scheme<br />

Is a known problem of the current control that it<br />

becomes unstable when the duty cycle passes by 0.5.<br />

The addition of an artificial ramp to the sensed<br />

signal can improve the stability of the controller, and<br />

for an adequate slope, it can be stable for all dutycycles.<br />

However, in the present case the maximum<br />

duty-cycle is 0.5, thereby only a small slope is<br />

required, to improve the noise immunity of the<br />

system. This small slope will not influence the<br />

<strong>converter</strong> transfer functions and controller design.<br />

The most important are that: it keeps the input<br />

current under a desired value and it realizes the<br />

current balance between positive and negative<br />

alternance in the high frequency transformer<br />

preventing the saturation of the transformer core.<br />

The measured signals are the fuel cell voltage (VFC)<br />

and current (IFC) and the output voltage (V<strong>DC</strong>)<br />

Fig. 5. The fuel cell current (IFC) and output voltage<br />

(V<strong>DC</strong>) are used as feedback signals in control.<br />

The protection is realized by using all the measured<br />

signals.<br />

The voltages V<strong>DC</strong> and VFC are measured by means<br />

of resistive voltage dividers while the fuel cell<br />

current (input current) is measured <strong>with</strong> a current<br />

transducer (LEM).<br />

157


FC<br />

VFC<br />

L1<br />

L2<br />

S1a<br />

G1a<br />

S2a<br />

G2a<br />

1:n<br />

D1<br />

D2<br />

D3<br />

D4<br />

C<br />

V<strong>DC</strong><br />

R<br />

Load<br />

i L1<br />

L1<br />

L2<br />

Llk<br />

i S<br />

+<br />

1:n D1 D3<br />

i C i R<br />

V P<br />

V S<br />

C R<br />

V <strong>DC</strong><br />

G1<br />

S1<br />

Cclamp<br />

S2<br />

G2<br />

Sa1<br />

Sa2<br />

D2<br />

D4<br />

V<strong>DC</strong>ref<br />

+<br />

-<br />

V<strong>DC</strong>m<br />

iFC/2 = iin<br />

Voltage iFC/2ref<br />

controller<br />

iFC/2m<br />

<strong>Current</strong><br />

controller<br />

OUT1<br />

OUT2<br />

CLK<br />

EN<br />

Gate signal<br />

conditioning<br />

G1<br />

G2<br />

G1a<br />

G2a<br />

i L2<br />

i FC<br />

Da1<br />

Ca1<br />

D1<br />

Da2<br />

Ca2<br />

D2<br />

C clamp<br />

V FC C1<br />

C2<br />

S1 S2<br />

-<br />

V<strong>DC</strong>m<br />

iFC/2m<br />

PROTECTION<br />

FAULT<br />

VFCm<br />

Fig. 5. DIC Converter schematics and control block<br />

diagram<br />

Experimental set-up of the control board was<br />

fulfilled by the Field-Programmable-Gate-Array<br />

(FPGA). Flowchart of the FPGA’s program is<br />

illustrated in general by Fig. 6. It should be<br />

mentioned that the voltage-to-frequency integrated<br />

circuit was used at the FPGA’s input, as it generates<br />

related square-wave signal <strong>with</strong> defined frequency<br />

depending on the input voltage. The control system<br />

was tuned so that 100 kHz square-wave signal is at<br />

FPGA’s input related to the nominal output voltage<br />

of the DIC <strong>converter</strong>.<br />

Start<br />

Fig. 7. <strong>Current</strong>-<strong>fed</strong> DIC Converter <strong>with</strong> Active<br />

Clamping Circuit<br />

commanded in anti-phase to the main switches. The<br />

basis of the operation of the presented clamping<br />

circuit is the resonant phenomena between the<br />

leakage inductance of the transformer (L lk ) and the<br />

clamping capacitor (C clamp ). The value of C clamp<br />

should be set so that one half of the resonant period<br />

formed by C clamp and L lk exceeds the maximum turnoff<br />

time of the main switches. [4] The clamping<br />

capacitor value is<br />

2 2 2<br />

clamp > s (1 − ) π ⋅ lk<br />

C T D L<br />

. (1)<br />

Yes<br />

Set default values<br />

Do not change duty<br />

cycle<br />

Yes<br />

To achieve ZVS for the main switch, it must be<br />

turned on after turn-off the auxiliary switch. This<br />

delay should be selected to be less than one quarter<br />

of the resonant period formed by L lk and C 1<br />

capacitor [4]<br />

Is the duty cycle =<br />

min?<br />

No<br />

Decrease the duty<br />

cycle<br />

Yes<br />

Yes<br />

Is Vdc_output ><br />

Vdc_ref?<br />

No<br />

Is the duty cycle =<br />

max?<br />

No<br />

Is the input current<br />

= max?<br />

No<br />

T L C π<br />

M 1− M 1a =<br />

lk<br />

⋅<br />

1<br />

⋅ 2<br />

, (2)<br />

where the value for C 1 has been taken from the<br />

datasheet of the chosen switch. The maximum time<br />

delay between turning off the main switch and<br />

turning on the auxiliary, using the calculated<br />

minimum value for the clamping capacitor can be<br />

considered by<br />

Set the new value<br />

of the duty cycle<br />

Increase the duty<br />

cycle<br />

T L C π<br />

M 1− M 1a =<br />

lk<br />

⋅<br />

clamp<br />

⋅ 2<br />

. (3)<br />

Fig. 6. Flowchart of the program implemented in<br />

FPGA.<br />

2 <strong>Current</strong>-<strong>fed</strong> DIC <strong>converter</strong> <strong>with</strong> active<br />

clamping circuit<br />

A DIC <strong>converter</strong> <strong>with</strong> active clamping circuit is<br />

shown on Fig. 7. In this case, the energy from the<br />

leakage inductance is not dissipated on the clamping<br />

resistance but transferred to the output. The active<br />

clamping circuit can improve the efficiency of the<br />

<strong>converter</strong>, as it does not dissipate the leakage<br />

<strong>inductor</strong> energy on a resistance but feeds it to the<br />

transformer primary. With active clamping circuit it<br />

is able to operate at ZVS both at turn-on and turn-off<br />

for all switches and simple to implement as it<br />

contains only a capacitor and two transistors<br />

3 Simulation of the DIC <strong>converter</strong><br />

The simulation of the DIC <strong>converter</strong> was done using<br />

LTspice simulation tool. Since a steady operation<br />

point was to be examined, the FC was modelled by a<br />

constant voltage source. The core losses of the<br />

inductances were neglected. The transformer was<br />

modelled as an ideal transformer introducing the<br />

leakage inductance in series. The power MOSFET<br />

transistor switches (IXFN73N30) and active<br />

clamping MOSFET transistors (IRF740) were<br />

modelled using SPICE models provided by the<br />

manufacturers.<br />

The operation conditions of the simulation are<br />

adjusted to the rated parameters of the <strong>converter</strong>.<br />

158


Active load <strong>with</strong> a small filter capacitor of 10 µF<br />

was considered. The value of leakage inductance<br />

(L lk = 4.8 µH) was obtained experimentally, by<br />

measuring the transformers mutual and selfinductances.<br />

It can also be noted, that the <strong>converter</strong><br />

operates as desired, providing 400 V output voltage<br />

at rated input and load conditions and that the<br />

transistor voltage does not exceed the maximum<br />

allowed voltage of main power transistor 300 V and<br />

maximum allowed current 73 A.<br />

The schematic of DIC <strong>converter</strong> <strong>with</strong> active<br />

clamping circuit in LTspice environment and<br />

simulation results for the active clamping topology<br />

are presented in Fig. 8. and Fig. 9. It can be noted<br />

that the shape of the auxiliary switch current is<br />

determined by the resonant circuit formed by the L lk<br />

and C clamp .<br />

4 Experimental results<br />

Experimental testing of active clamping DIC<br />

<strong>converter</strong> was carried out as well. The testing was<br />

performed using Ballard Nexa PEM fuel cell module<br />

<strong>with</strong> nominal power 1.2 kW and connecting the DIC<br />

<strong>converter</strong> to a resistive load. Measurements of the<br />

input current, input voltage and load voltage and<br />

current were done. Then the efficiency of the<br />

<strong>converter</strong> was calculated. The efficiency of the DIC<br />

<strong>converter</strong> <strong>with</strong> the active clamping circuit is around<br />

93 % (Table 1.)<br />

Table 1. The Measured Quantities<br />

Parameter (averal values) Measurements<br />

Vin<br />

26.7 V<br />

Vout<br />

336 V<br />

Iin<br />

28.73 A<br />

Iout<br />

2.12 A<br />

Efficiency 93 %<br />

Faster diodes (better turn-on and turn-off<br />

characteristics than integrated diodes in transistors)<br />

and 2.2 nF capacitors were added in parallel <strong>with</strong><br />

active clamping transistors. In parallel <strong>with</strong> the<br />

power transistors, RC snubber circuits were<br />

implemented composed of 4.7 nF polyester film<br />

capacitors and 4.7 Ω 5 W resistors. Basing on<br />

equation (3) the capacitance of the clamping<br />

capacitor was 3.3 µF.<br />

Experimental waveforms of the DIC <strong>converter</strong> <strong>with</strong><br />

the active clamping circuit are shown in Fig. 10. It<br />

was possible to test <strong>converter</strong> at the full load as there<br />

was no primary switch overvoltage problems.<br />

Fig. 8. DIC Converter schematics <strong>with</strong> Active<br />

Clamping Circuit in LTSpice environment<br />

Fig. 10. Experimental waveforms of the DIC<br />

<strong>converter</strong> <strong>with</strong> the active clamping – from the top:<br />

voltage across one active clamping tranzistor,<br />

voltage across one power transistor<br />

Fig. 9. Simulated waveforms of the DIC <strong>converter</strong><br />

<strong>with</strong> active clamping circuit: from the top – current<br />

through transistor M1, output voltage, voltage of the<br />

clamp capacitor, transformer primary voltage<br />

From the Fig. 11. it can be noticed that the load<br />

variation does not change the output voltage of the<br />

<strong>converter</strong> considerably. The following can be<br />

concluded, that the <strong>closed</strong> loop control system works<br />

as it changes the duty-cycle depending on the load<br />

and the output voltage remains constant.<br />

159


integrated circuit, for a current <strong>fed</strong> <strong>converter</strong> implies<br />

new problems, as the signal conditioning in order to<br />

realize the overlapping of the gate signals. However,<br />

using dedicated PWM controllers have important<br />

advantages as soft start-up and built-in over-current<br />

protection.<br />

References<br />

Fig. 11. Experimental waveforms of the DIC<br />

<strong>converter</strong> <strong>with</strong> the active clamping – from the top:<br />

output voltage, output current.<br />

Conclusions<br />

The power <strong>converter</strong> needed in order to use the<br />

hydrogen fuel cell as a main power supply or backup<br />

source in domestic applications, usually consists of a<br />

step-up <strong>DC</strong>/<strong>DC</strong> stage and a <strong>DC</strong>/AC inverter stage.<br />

As an efficient solution for the <strong>DC</strong>/<strong>DC</strong> stage – a<br />

<strong>double</strong> <strong>inductor</strong> <strong>push</strong> <strong>pull</strong> <strong>converter</strong> <strong>with</strong> active<br />

voltage clamping circuit is analyzed in this paper<br />

presenting simulation and experimental results.<br />

It was acknowledged that the DIC <strong>converter</strong> <strong>with</strong><br />

active clamping circuit performs well and the<br />

efficiency of the <strong>converter</strong> is 93 %. The efficiency<br />

could be further increased basically in two ways: by<br />

decreasing the resistance of the <strong>converter</strong>’s primary<br />

circuit components or by reducing the primary<br />

current, which can be achieved by connecting two or<br />

more identical <strong>converter</strong>s in parallel.<br />

The ripple of the input current of the experimental<br />

prototype is below ± 5 % of the mean value, which<br />

is <strong>with</strong>in acceptable limits for the fuel cell.<br />

The elaborated prototype of <strong>double</strong> <strong>inductor</strong> <strong>push</strong><strong>pull</strong><br />

<strong>DC</strong>/<strong>DC</strong> <strong>converter</strong> <strong>with</strong> active clamping circuit<br />

can be used as a background for further work on<br />

clamp circuit optimization and the hardware<br />

implementation of the control, using a dedicated<br />

1. EGG Services Parsons Inc., “Fuel cell handbook<br />

(6th edition)”, United States Department of<br />

Energy, USA, November 2002.<br />

2. G. Gentile, S. Meo, F. Esposito, “Comparison<br />

Among Different Topologies of <strong>DC</strong>-<strong>DC</strong><br />

Converter for Fuel-Cell-Based Inverter System”,<br />

EPE-PEMC2004, Riga, Latvia, September 2004.<br />

3. W. Choi, P.N. Enjeti, J. W. Howze, G. Joung, “An<br />

experimental evaluation of the effects of ripple<br />

current generated by the power conditioning stage<br />

on a proton exchange membrane fuel cell stack”,<br />

Journal of Materials Engineering and<br />

Performance, New York, USA, Vol. 13.<br />

pp. 257-264, 2004.<br />

4. S. De Caro, A. Testa, D. Triolo, M. Cacciato, A.<br />

Consoli, “Low Input <strong>Current</strong> Ripple Converters<br />

for Fuel Cell Power Units// in Proc. Hard<br />

Switching Converters and Control EPE 2005. –<br />

Germany, 2005.<br />

5. N. Mohan, T. Undeland, W.P. Robbins, “Power<br />

Electronics. Converters, Applications and<br />

Design”, John Wiley & Sons,<br />

ISBN: 0-471-22693-9, 2003.<br />

6. R.W. Erickson, D. Maksimovic, “Fundamentals of<br />

Power Electronics”, Chapman & Hall,<br />

ISBN 0-7923-7270-0, 2001.<br />

7. J.T. Kim, B.K. Lee, T.W. Lee, S.J. Jang, S.S.<br />

Kim, C.Y. Won, “An Active Clamping <strong>Current</strong>-<br />

Fed Half-Bridge Converter for Fuel-Cell<br />

Generation Systems”, 35th Annual IEEE Power<br />

Electronics Specialists Conference, Aachen,<br />

Germany, 2004.<br />

8. F.J. Nome, I. Barbi, “A ZVS Clamping Mode -<br />

<strong>Current</strong>-Fed Push-<strong>pull</strong> <strong>DC</strong>-<strong>DC</strong> Converter”, IEEE,<br />

1998<br />

160

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