Aerospace and Electronic Systems - October 2018 - 9

Mattos et al.
Table 1.

Converters Parameters
Components

Boost

Buck-Boost

Switches Sb e
Sbb

IRF540N

IRF540N

Diodes (all)

1N5822

1N5822

Inductor

110 μH

47 μH

Capacitor

100 μ F

680 μF

f

100 kHz

100 kHz

Tsw

10 μs

10 μs

Vbus

15 V

-

Vbat min

-

3.4 V

Vbat max

-

4.3 V

fco

1,5 kHz

1 kHz

MF

59,6 °

59,8 °

Hi(s)

-

1

Hv(s)

1

-

Vm

1

1

Battery charge current regulator.

Pi max

4.5 W

7.875 W

Pi min

1.125 W

4.5 W

Dmax

0.71

0.55

Dmin

0.23

0.48

Vpv max

9.0 V

9.0 V

Vpv min

3.4 V

3.4 V

> 0.5%

> 0.5%

k [4] and [20]

Figure 6.

Figure 7.

Buck-boost converter static characteristics.

BATTERY CHARGER AND MPPT CONVERTER

DMCD =

Figure 6 shows the buck-boost converter of stacked architecture.
From the principle of inductor energy balance Lbb, the converter
static gain is defined, according to (6).
DCCM =

M
1+ M

(6)

The boundary between CCM and DCM modes is given by (7).
DBCM = I in

I in = 4 (1 − D ) D

L≥

(8)

Thus, by performing a similar analysis to the boost converter,
the DCM duty cycle is given by (9).

I in
1
1+
M DCM

(9)

Figure 7 shows the duty cycle characteristics versus the normalized input current, normalized PVs voltage and current according to (6)-(8). The PV characteristics and the buck-boost converter
static gain provide a design region operation for the converter.
Equation (10) represents the inductor design for the buck-boost
converter.

(7)

where Iin is the normalized input current, given by (8).

3

DminTswV pv2 min
2 Pi

(10)

where D, Vpv , and Pi are shown in Table 1.
Equation (11) was used to define the converter capacitor.
C≥

PT
i sw Dmax
2
kbbVbat
min

(11)

where kbb = ΔVbb/Vbb and the values of Pi, D, Tsw, and Vbat min are
shown in Table 1.
OCTOBER 2018

IEEE A&E SYSTEMS MAGAZINE

9



Aerospace and Electronic Systems - October 2018

Table of Contents for the Digital Edition of Aerospace and Electronic Systems - October 2018

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