Conceptual Design and Simulation of Electric Power Supply System

Conceptual Design and Simulation of Electric Power Supply System
J. Basic. Appl. Sci. Res., 3(1s)622-632, 2013
© 2013, TextRoad Publication
ISSN 2090-4304
Journal of Basic and Applied
Scientific Research
Conceptual Design and Simulation of Electric Power Supply System for a Remote
Sensing Nano Satellite in LEO Orbit
Ahmad. Mostajabi*, M.Reza. Khorrami Nezhad Shirazi, and Milad. Karimi
Department of Electronic Eng., Islamic Azad University
Received: June 2 2013
Accepted: July 6 2013
The purpose of this paper is to review the results of the conceptual design and simulation of electric power supply
system for a remote sensing Nano satellite with 9kg weight, average power of 6.86watt, maximal power of 12watt
(for the duration of 35 minutes in times of solar eclipse), with unset linear voltage, missioned for 1 year with MPPT
method. Multi-junction solar cells are its main source of energy and for energy storage it uses Lithium – Ion
batteries. Simulation results for four solar arrayed positioning in light or and in solar eclipse, with a fixed and
variable charge are shown.
KEYWORDS: Nano Satellites, Conceptual Design, Subsystem, Electrical Energy, Solar Cells
Most of the Nano satellites are dimensionally ranged from 10 to 50 cm & massively 1 to 10kg and has a
mission life of about three days to one year. Remote sensing satellites are equipped with sensors such as imaging
operators which are to perform imaging and getting statistics from the Earth surface. Designing systems or satellite
systems engineering is a process in which the general specifications of a satellite system is designed in various
samples. Satellite system simulation is thus an approach to get a better understanding of proposed designs and
recommended ideas before they are implemented. Imposing different requirements based on these designs is done in
order to improve system performance and verification of that. Also by putting and checking other different
circumstances, the relation between installed components can be realized. The benefits of using simulation in such
system can be absolutely established. [1], [2]
2. Nano satellites systematic design algorithm
In fig. 1 a schema of selecting process for electric energy supply system of Nano satellites is shown. The
design process must continue until reaching characteristics of Nano satellite power subsystem’s main parts with
some required changes. [3]
Fig.1. selecting process for electric energy supply system of Nano satellites
This power system is consisted of a solar array, a chargeable battery and a power adjuster (which adjusts the
passing power through different sections so the supply line voltage would be controlled). The process and the results
of this nano satellites conceptual design and the characteristics of its elements are discussed below.
3. Process of power supply subsystem design for remote sensing Nano satellite
A prototype sample, is provided to design the subsystems of the Nano satellite electric power supply system
which in, calculation standards from authoritative satellite design centers have been applied. Details of the design
process as regulated are: solar array power system, the DC-DC Converter, designing and maintenance of voltage
supply line, drafting charge system, secondary battery and power distribution system. Now with the given design
Corresponding author: Ahmad Mostajabi, Department of Electronic Eng., Khomeini Shahr Branch, Islamic Azad University,
Isfahan, Iran. Email address: [email protected]
Mostajabi et al.,2013
methods, statistical parametric methods and circuit specifications calculated & presented in in table 1, we started
designing a conceptual model of such Nano satellites.
Table 1. Nano satellites circuit parameters[1]
Orbit type
Orbit slope
Orbit height
Velocity Nano satellite
Gravity Constant
Shade time
Orbit period
Lighting time
Seeing time satellite
Lenght lifetime satellite
3.1. Calculating the average power required
Table 2 presents the calculation sample of Nano satellites’ power subsystems which is obtained from statistical
data. [1]
Table 2. Computing power subsystems [1]
Control and status
Pw= 0.043 * Ps +0.008
Temperature Control
Pw = 0.130 * Ps +0.001
Power Subsystem
Pw = 0.162 * Ps +0.003
The following power supplies
Pw = 0.061 * Ps +0.180
Tracking, telemetry and command power subsystem
Pw = 0.330 * Ps -0.004
Handling the power subsystem
Pw=0.069 * Ps +0.079
Total amount of average power
3.2. Designing process for energy storage & output system
For Nano satellites located in LEO orbit, the number of solar eclipse, thus battery charge & discharge, is very
high. On the other hand the reduction of size & weight is of quite importance whenever it comes to these kind of
satellites. As a result of this latter issue, the battery must be chosen with higher volume & weight density of energy
and by considering the advantages of lithium – Ion batteries such as higher density of energy, lower weight, no
memory effect compared to NiCd& NiH2, it can be presumed that the Lithium – Ion battery is the best option for the
related satellite.
The effective parameters in design are: [2]
. Average power: 8.683watt
. Satellite navigation system: Spiral
. Solar cells: Muti-junction, with the maximum thermal degree of 50 centigrade
. Maximal power: 12watt
. Maximal power duration: 35 minutes (at night)
. PCCS System: MPPT Method
. Solar fields: attached to the body
3.3. Calculating Battery Capacity
Due to the number of charge and discharge cycles required during the satellite mission (one year), which is about
5000 cycles (the exact value of 1 × 14.27 × 365) with respect to fig. 2, the depth of discharge (DOD) 35%, seems to
be a safe choice. [7]
J. Basic. Appl. Sci. Res., 3(1s)622-632, 2013
Fig.2. proper discharge depth depending on the life span of batteries for Li- ION
Battery capacity is calculated using the energy required during solar eclipse. Noticing that in the worst
conditions, the maximum power of the satellite during eclipse period, the battery capacity, considering Ampere per
hour is equal to:
For the specified satellite the C=1.435Ah which is calculated using a standard 2 Amps per hour battery,
considering the given characteristics above.
3.4. Calculating battery charging duration
The time required to recharge the battery at any period of the orbit (tch), should be lesser than (ts) time. To
calculate the duration of charging process, the required energy of the battery in solar eclipse periods can be
Pav (t e  t p )  Pp t p
With accordance to the parameters of the t ch 
PC *
48.21 minutes. Notice that:
= 48.21 min ≤ = 65.7402
At worst situation, 48.21 minutes of the whole 65.7402 minutes of the sunshine duration, is allocated to recharging
the battery.
3.5. Measuring the solar arrays [2]
Multi-junction solar cell characteristics at the start of the mission (BOL),is presented in fig. 3.
Fig.3. solar cell characteristics “WCA-2300-C3MJ”[11]
3.6. Characteristics of solar cells at the end of the mission (EOL):
For multi-junction solar cells at the end of the 1 year mission, from 0.342 to 0.308 mA, from 2.94 to 2.646 and
from 1w to 0.89w will be declined.
3.7. Calculating the number of cells required
To provide the desired voltage and current, series and parallel connection of cells and their ladder combination
will be used. According to power line voltage & the power which must be provided by solar cells, the number of
series & parallel strings & required cells will can be calculated using the following equations:
Mostajabi et al.,2013
= 0.734
Total current cells
The total number of cells in series strings
The total Number of parallel strings
The total number of cells required includes charging circuit cells and original cells.
N sa  ( N p * N c )  ( N cp * N cs )  4( N L N w )
NL and Nw, orderly are the number of Longitudinal & Latitudinal cells in each of the four arrays mounted on the four
sides of the satellite.
= 48 = 4(3 ∗ 4)
Finally for the explained satellite NL and Nw would be 4 and 3.
4. Designing Power management system
Designing Power Management System can be divide into drafting the following subsystems:
A) Solar Array Power Control
B) Setting the bus voltage
C) Charging the secondary battery
4.1. Designing Solar Array Power System
Two general methods are used in designing control system and power management setting. Direct Energy
Transfer (DET) & Maximum Power Pointing (MPPT).In DET Method, the solar energy is transferred into loads,
with no interference of regulators & series converters. In this case the maximal power of cells cannot be produced &
sometimes power production is higher than power usage that must be wasted. MPPT, which is essentially a DC-DC
converter is placed in series with the solar array & dynamically adjusts the operating point of the solar array, so that
the absorbed power be in relation with the amount needed by the satellite. This method is used whenever the power
of satellite is less than 500watt or in places where in accordance to temperature changes or application of the
satellite, the power would change significantly.[7]
4.2. DC-DC Converter
This kind of converter is widely used in the photovoltaic systems, as an interface between the solar cell and the
load. The converter must be adjusted in order to successfully transfer the maximum solar cells power to the charge.
For this reason, the efficiency of the converter becomes very important to us, in order to reach the target. In fig. 4 all
the reducing, reducing & increasing, decreasing-increasing converters have been discussed based on their efficiency.
As it is clear in fig. 4, the efficiency level of the reducing converter is larger than others. Thus it is assumed that
choosing the reducing converter would be the best choice.
Fig.4. efficiency of buck, boost& buck-boost converters
4.3. Creating & setting of the supply line voltage (bus setting)
Due to the matter of using MPPT for controlling & maintaining the power, the best way to adjust the bus
voltage, is not to adjust bus. Because other methods are not suitable for use with an MPPT (due to low efficiency &
EMI) which results in smaller volume & size. It should also be noted that in the matter of large alternation of bus
voltage, using the regulator switch step up/step down as a unit of power management is necessary & considering
their appropriateness & availability, there would be problem, but at all. [7], [11]
J. Basic. Appl. Sci. Res., 3(1s)622-632, 2013
4.4. Secondary battery charger design
If mission duration is less than five years, the technology used to charge, will be parallel charging technique.
This technique involves the charging of all batteries in parallel during the light period, by using just a single charge
unit. Since the satellite has a lifespan of one year, we strongly recommend this parallel charging technique, which
dramatically reduces the weight & volume of the electrical energy system. Additionally, to avoid uneven charge,
using temperature sensors on batteries and switches, are crucial in order to stop each battery. [3],[7]
4.5. Designing power distribution system
Practically, due to the fact that satellite subsystems need various levels of voltage with positive & negative
polarity, using converters, regulators & reverse articulators of extra voltage, will be taken into consideration. To
perform these operations, we can utilize both centralized & decentralized distributing systems. In decentralized
distribution system, since each subsystem uses its own operator, basically power lines with none adjusted voltage
will be exploit. Unlike the decentralized distribution system, the centralized one puts all the regulators in one place,
& all the voltages required by the power distribution unit will be dedicated to other subsystems. This system is
designed to supply electrical power in a more sophisticated way but at the same it enables simpler design for
subsystems which lessen the concerns about required power for them. The centralized distribution system is
recommended for tiny satellites with the power of less than 100watt. [3],[6],[7]
5. Results acquired from the conceptual design
Depending on the satellite mission, construction, manufacturing costs, designing process require different
technology and other parameters, which must be decided and managed by the design team.
Table 3. Designed Nano satellite’s electrical power supply system parameters in LEO orbit. [2]
Average power
The maximum power
Array type
Multi connection
GaInP/GaAs/Ge Efficiency %38
Array power capacity
Area array
Array weight
Battery LI-ION
Battery weight
Number of Batteries
Line voltage (Uncelebrated)
6. The process of simulating the designed Nano Satellite
6.1. The overall shape & parameters of the power supply system
The overall system can be divided into several smaller subsystems. These subsystems include a PV module,
Lithium – Ion Battery type, Charger, shunt resistance DC-DC converter, electricity load, MPPT & some basic keys.
In fig. 5, the diagram block is mentioned. [13]
Fig.5. Block diagram of system design
Mostajabi et al.,2013
6.2. Maximal Power Pointing (MPPT)
Solar cell efficiency is highest, when the maximum it works at maximum power. However, they cannot
perform at this level without supervision, due to many factors. Power produced by the solar cell depends directly on
main factors such as solar radiation, cell temperature, and the amount of electricity current attached to it, where the
temperature and solar radiation varies based on timeline thus varies the maximal power point. By using MPPT
Algorithm, the maximal power point is enabled to increase the received amount of power by 20%. In Fig. 6, the
flowchart of observation and pointing method is completely defined. It is divided into two categories which are
presented as radiation ring & temperature ring. [15]
6.2.1. Radiation Ring
According to the specifications of solar arrays, t can be shown that by increasing exposure, the short current
will be increased either and the MPPT will change course toward higher voltages. In radiation ring, besides
controlling, MPPT avoid system failure in time of negative impedance. [15], [16]
6.2.2. Temperature Ring
It starts working whenever the alteration of radiation of low count. According to the fact that specifications of
solar arrays variation, depends on temperature, thus MPPT will change based on the same thing, which allows us to
point out. [15], [16]
Fig.6. Flowchart Completed observation and follow-up
6.3. Sample battery
The battery is lithium – Ion, which has been chosen based on simulative sample existed in (Sim Power Systems
Library). It performs as charging & discharging. The current is negative whenever the battery is charged & is
positive whenever it isn’t.
J. Basic. Appl. Sci. Res., 3(1s)622-632, 2013
6.4. Reducing DC-DC Converter
Reducing converter is a converter which reduces the output voltage. Fig. a-7 is the converting circuit when the
switch is closed and fig. b-7 is when the switch is open. At steady state, the Duty Cycle equation is as equation (8).
D  Vo/Vd
Amount of D varies from 0 to 1. Output voltage increases by increase of D. when D is the highest value; the output
voltage has its maximum value. The predecessor is achieved from equation (9)
L  Lmin  (1 - D)R/2f
The output voltage is controlled by D and will never be more than input voltage. [15]
Fig.7. equivalent circuit of reducing converter. a: with closed switch b: with open switch.
6.5. Load
For the load related section, there have been used of several resistances. And to change the load some switches
are placed. So that in different time zones the load will change with these switch being on and off. Considering that
average power 8.683 watt and the maximum power of 12 watt (for the duration of 35 minutes in times of solar
eclipse), a resistance of 16.58 ohms for average power and a resistance of 12 for maximum power amount is
6.6. Charger
It is necessary to use an optimal charger in order to avoid additional charge or high reduction of battery charge
level which later causes life damage & reduces the lifetime. Usually in a cycle, the discharge rate must not be lower
than 30% & its charge shall not be more than 100%. In here the selected battery have a capacity of about 1.5
percent, higher than the average required one. As a result, the charging level rarely gets to 40%. The charging
system used in this design, includes two switches, on at the battery terminals (the A switch) & the other placed at
load (the B switch). The A switch which is placed at PV Module, opens whenever the battery charge level reaches
higher than 97% & continue to be open till charge level reduces 75%. The B switch on the load side opens whenever
the charge level reduces to 35% and continues to be open till the charge level reaches 80% again. [1]
Table 4. Correct moods keys
SOC ≤ 35%
SOC ≥ 97%
SOC ≤ 35%
SOC ≥ 97%
35% < SOC< 80%
75% < SOC< 97%
35% < SOC< 80%
75% < SOC< 97%
SOC ≤ 80%
SOC ≤ 75%
SOC ≤ 80%
SOC ≤ 75%
7. Simulation
For set up, the primary value of battery charge of 65% and for 15 periods is shown. The simulation is done by
90785.7 steps of 1 second duration. Which is actually 15 periods of 100.873 minutes. In fig. 8 simulated diagram
block is shown. Which include temperature and radiation inputs, solar panel, Maximal Power Pointing (MPPT),
Reducing DC-DC Converter, key controller, charger and load. In fig. 8, PV with a current source, with a voltage
source and load with several parallel resistances is modeled. Current source makes a current output which itself is a
result of output current of reducing converter. The voltage source which represents the battery is dependent to output
voltage and amount of charge which comes from battery block. All keys are controlled by “switch controller” and
are conducted through “Controller and Shunt protection” block. [14]
Mostajabi et al.,2013
7.1. Solar panel and Maximal Power Pointing (MPPT)
Solar panel and maximal power pointing is modeled by composition PV and MPPT which is in find-mppt
block. This block is the type of EmbeddedMATLAB Function. And is based on the written function in MATLAB’s
MFile. The two amounts of temperature and radiation are applied to system as inputs. Solar panel section based on
solar datasheet and for solving current equation through Newton calculation and 5 times of repetition, this ring is
used. According to maximal power pointing and calculated current algorithm through Newton repetition way, the
maximal current and maximal voltage is reached.
Fig.8. subsystem simulated diagram block
7.2. Reducing DC-DC Convertor
Fig. 9 is reducing convertor subsystem along with input current controller. Voltage and current maximal (VMP
,IMP) are reached through “find-mppt” block, along with battery voltage (Vbat) are considered as converter input.
And the output current (Iout), output power (Pout) and revenue are considered as output. Output current is used for
controlling the current source. Also this block’s duty is to match the PV voltage with battery voltage. It also is
considered as input current controller.
7.3. Battery
The battery section is selected based on Simulink sample, related to (SimPowerSystems). (14)In fig. 10, battery
masked subsystem is shown
Fig.10. battery masked subsystem
Fig.9. Reducing converter subsystem
J. Basic. Appl. Sci. Res., 3(1s)622-632, 2013
7.4. Charge and switch controllers
To extend battery life, we should manage the charge and discharge methods. The charger related sections
consists of two A and B parts. switch A in PV module section, when the charge exceeds 97%, removes the solar
array from the battery in order to prevent excessive battery charge, until the amount reaches 75% this switch will
stay open, and when it reaches 75% it closes in order for the battery to be charged by the array. Switch B in load
section is to prevent excessive discharging. If the battery charge goes below 35%, this switch will open in order for
the battery to reach acceptable charge amount. (80%). And then it connects to the system. Solar switch is for when
the array places in the eclipse section. In this state, solar cells act like a diode and as a consumer they take the
current which is cause taking the power out of battery. To prevent this a zero comparing block is used. When the cell
current is negative which means when the current flows from battery towards cell, this switch will open and remove
the array from the battery. So it wouldn’t take the power out of battery. To enter different amounts of (SOC), to
control the switches fig. 11 system is used. Shunt Function is used in order to get rid of extra current, when battery is
fully charged. [14]
Fig.11. diagram block in switch controlling section
Fig.12. masked subsystem for controlling switches
7.5. Load
Load section, is modeled by resistance and other amounts that have been previously mentioned. When needed
they become on and off so there will be shifty load. In fig. 13 a sample load is shown. For average power a residence
of 16.584 ohm and for the maximal power a resistance of 12 ohm was used. (The maximal power for the duration of
35 minutes in times of solar eclipse is applied to the circuit). [14]
Mostajabi et al.,2013
Fig.13. load diagram block
7.6. Temperature and radiation input
Temperature and radiation input in simulation are shown by (G) and (TaC), and are related to temperature and
radiation changes. And its output forms the temperature and radiation input signals of PV module cell. [14]
8. Simulation Results
In this section the results of the performed simulation and examination and compare of obtained outputs from
different sections are investigated.
8.1. Characteristics of load voltage, load current and load consuming power
Fig. 14 is related to voltage output, load terminal current and also load’s consuming power. Load voltage is
about 12 volts. In the initial part of each cycle in which the slope is increased, is because in radiation time in which
the battery is being charged, it’s voltage is also increased, which after the battery is fully charged, load voltage
decreases with a slow slop. Considering the current changes, it is seen that at the beginning of the cycle in which the
average power is used, the output power is also 8.73 watt and in the last 35 minutes (2100 seconds) of the cycle the
maximal power which is 12.02 watt is used.[14]
Fig.14. Characteristics of load voltage, load current and load consuming power
8.2. Characteristics of battery current and battery charge amount
According to fig. 15, battery current characteristic is charged per negative battery current. And when the current
is positive, discharge takes place, which according to battery charge characteristic and battery current it is clearly
viewed. Once the battery is fully charged with current of about 0.75 and with average power consuming and about 1
ampere, it is discharged with the maximal battery power.[14]
Fig.15. Characteristics of battery current and battery charge amount
J. Basic. Appl. Sci. Res., 3(1s)622-632, 2013
8.3. Output current, output power and converter output
According to fig. 16, current and power outputs had reached their maximal amount by high slop. And after that
with a slow slope they decrease and through the radiation cycle they decrease by high slope. The below figure is
related to convertor output that during radiation its average is 96%. Also during eclipse its output is zero.
Fig.16. Output current, output power and converter output
9. Conclusion
In figures: 14, 15, 16 the results of the performed simulation and examination of obtained outputs from different
sections and comparing them with primary data of conceptual design showed that we have reached conceptual
design results with error of less than 2%.
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