On-Condition maintenance of wind generators with low cost ...
Transcript of On-Condition maintenance of wind generators with low cost ...
On-Condition maintenance of wind generators with low cost systems
INÁCIO FONSECA1; J. TORRES FARINHA
2; F. MACIEL BARBOSA
3
Instituto Superior de Engenharia1,2
; Faculdade de Engenharia3
Instituto Politécnico de Coimbra1,2
; Universidade do Porto3
Rua Pedro Nunes - Quinta da Nora, 3030-199 Coimbra1,2
; Rua Dr. Roberto Frias, 4200-465 Porto3
PORTUGAL1,2,3
[email protected]; [email protected]
3
Abstract: - This paper describes an integrated wind farm maintenance system, including software, hardware and
some algorithms. The approach will imply the optimization of the maintenance planning among different wind
towers owned by a company, considering the management of situations where the distances among them have a
considerable weight in the maintenance costs. This reason, associated to the generators accessibility and the on-
line maintenance variables acquisition, are very important to justify the necessity of improvement of the
maintenance planning. This objective is achieved through the application of integrated maintenance
management systems to which are associated new functionalities, in parallel with the usual ones in these
systems that fit within the on-condition predictive maintenance, including on-line data acquisition modules.
Usually, the manufactures construct, deploy and give the means to the suppliers to perform the wind system’s
maintenance. In some cases, the owners of wind farms can choose the maintenance company. This is a very
competitive area, where companies hide the development details and implementations. Another important
factor is that, by the first time in last ten years, the three countries with the largest installed power, together,
have fallen to a minimum historic, below 40% of the market for wind power in the EU. Definitively, the other
European countries encouraged the appearing of programs for installing wind power, with prominence for Italy,
Portugal and Netherlands. Within this scenario, the development of maintenance management models for
multiple wind equipments is important, and will allow countries to be more competitive in a growth market.
Key-Words: - Wind energy; renewable energy; predictive maintenance; time series prediction.
1 Introduction The financial and energy crisis will play an
important role in future decisions on energy
production systems and, particularly, in wind
generation. During last year, 2008, the oil prices in
European Union (EU) had a drastic impact on policy
decisions in several EU member states. For
example, in Portugal, since last year, persons had
deductions in taxes to act as significant incentives to
implement renewable energy production systems,
not only in micro-generation systems (household),
but also to implement wind farms. But, the
dynamism of this area had continued to increase
during the last year. The European Wind Energy
Association (EWEA) [1] responsible for
presentation of EU results reported a 14% increase
in installed wind power in EU-15 and 15% in EU-
27. It is noteworthy that the EU-15 is responsible for
98% of installed power. Germany, Spain and
Denmark, the leader countries in the installed
power, had risen below 40% of the market of wind
power with 3.351.120 MW produced, against
5.133.185 MW from the rest of EU. Obviously, this
is due to differences of regional wind, that changes
year after year and due to the differences of the age
of technology and equipment. In this scenario,
maintenance problems will grow in future with the
oldness of equipments and, in a reasonable way, it is
important to study this problem to increase
knowledge. In this work authors developed
maintenance software – SMIT – [2], [3], [4], [5],
[6], [7], integrated with commercial or low cost
acquisition systems.
2 A Wind Maintenance System Maintenance systems of wind generators are a great
asset to ensure a good performance during the
production of electricity. Given the objectives of
this work, in this paper a system capable of
performing the data collection with high
performance at a low cost is presented (Fig.1).
To make the data acquisition, the choice was on
a microprocessor with a communication interface -
in this case the CAN network. The benefit of CAN
is to enable the interconnection of more then two
equipments on the same bus and to be suitable for
Proceedings of the 3rd WSEAS Int. Conf. on ENERGY PLANNING, ENERGY SAVING, ENVIRONMENTAL EDUCATION
ISSN: 1790-5095 128 ISBN: 978-960-474-093-2
real-time operation. The major disadvantage is the
fact that the bandwidth is shared.
Fig. 1 - A low cost wind maintenance system
However, in this work, the monitored signals do
not need a high bandwidth, because they are
acquired at regular intervals with large amplitude
like one second, five seconds or more. In a high
demanding situation the system can be duplicated to
ensure the bandwidth needs. In the present
implementation the CAN bus can run from 250
Kbits/s to a rate of 1Mbit/s.
Fig. 2 – Setup for the Luminary and PIC
microntrollers acting as Ethernet - CAN gateways.
Validation is based on MAC address
For low cost instrumentation, the prototype
hardware developed by SMIT team includes:
• A board based on the ENC28J60 [8]. The
ENC28J60 implements the physical interface to
Ethernet allowing any microcontroller to use
TCP/IP communications. The connection from
MCU to ENC28J60 is performed by SPI. The
Ethernet speed is 10 MHz half-duplex.
• An acquisition board based on the PIC 18F2685
[8]. This MCU allows the acquisition of
10bits/channel, at a speed of 100 kHz. It also
includes a CAN 2.B controller with maximum
speed of 1 Mbps. MCU frequency clock is 40
MHz. The programming is done in C using C18
from Microchip.
• An acquisition board for high speed was also
developed, being powered by the
dsPIC30F4012 [8]. This MCU includes SPI, and
CAN 2.B, with 10bits acquisition at a speed of
1Msps, and the possibility to perform
synchronous acquisition of four channels. The
CAN operates at a maximum speed of 1 Mbps.
MCU frequency clock is 40 MHz. Programming
is done in MPLAB C30.
• A board using Microchip digital potentiometers
[8] implements a Butterworth low pass filter of
4th order with cut-off frequency set between
100Hz and 50 kHz. The board also incorporates
two cascade amplifiers with gain ranges from
0.1 to 10. The frequency and gains are
programmed by software using the SPI interface
from digital potentiometers MCP42100,
MCP608 and operational amplifier LM358.
• A board based on the microcontroller Luminary
LM3S8962 [9], which implements an ARM
Cortex-M3 with support for Ethernet packet
time stamping. This processor includes two
interfaces: Ethernet at 10/100 MHz full/half-
duplex, and CAN 2.B with maximum speed of
1Mbps (it will operate as a gateway Ethernet-
CAN). LM3S8962 frequency clock is 50 MHz.
Programming is done in C using open source
GNU GCC ToolChain for ARM Cortex-M3,
with gcc-4.3.3, Binutils 2.19.1, and newlib-
1.17.0 under Linux or Cygwin.
One of the biggest challenges of this architecture
is about the problematic of synchronizing the data
acquisition time between different equipments and,
in last case, among different wind generators. Thus,
it is important that the same type of sensorial
information be acquired simultaneously, with a very
low deviation time.
Proceedings of the 3rd WSEAS Int. Conf. on ENERGY PLANNING, ENERGY SAVING, ENVIRONMENTAL EDUCATION
ISSN: 1790-5095 129 ISBN: 978-960-474-093-2
Fig. 3 - Measuring the delay in CAN bus
transmission media.
Fig. 4 – Ethernet Normal operation - CAN
gateways. Using this technique a deviation of 10
microseconds is achieved in different boards.
Fig. 5 – Blue: Theoretical travel time (ns) for
transmitting extended Can Messages with 1 byte to
8 bytes of length. Red: Delay time measured in the
real system between Ethernet - CAN gateway and
one CAN Slave. This time is exactly half of the sum
of the time presented in Fig. 3.
To solve this problem a local clock is
maintained, and synchronized with SMIT Linux
Server master clock through SNTP [31] in the case
of PICs and through PTP [32] in the case of the
ARM. The use of different protocols is justified by
the Ethernet packet time stamping facility of the
Luminary micro-controller that is full explored by
the PTP.
For the acquisition through synchronization in
CAN bus, the master board (PIC18F+ENC28J60 or
LM3S8962) with Ethernet and CAN connectivity
sends a special CAN message demanding a data
acquisition cycle (the message ID pronounces what
slave(s) should acquire data, Fig 4). In the setup
stage of this firmware the gateway receives from the
SMIT server the configuration: acquisition
timings/periods and CAN setup parameters (Fig. 2).
The CAN slaves, while in setup mode, will try to
communicate in 125 kHz, 250 kHz, 500kHz and
1MHz and will stay in this setup mode until a valid
CAN message is received. After this stage they will
start the normal cycle, waiting for a message asking
for an acquisition. While in this waiting state for
acquisition, they can forward packets for measuring
CAN propagation delay time, or receive messages
for firmware upload (just the slaves based on PIC
micro-controllers). The method to measure the delay
propagation in CAN bus is similar to the one used in
precision time protocol (see Fig. 3). A packet is sent
by the LM3S8962/PIC gateway, and retransmitted
only by one slave. Transmission propagation delay
is measured by dividing the time used by two.
Special care is taken by measuring this time while
using CAN message with data from one to eight
bytes and the results are saved in a table (different
data size CAN messages spend different time to
travel in the CAN bus). The CAN acquisition
message sent by the gateway to ask slaves to acquire
should be sent at (see Fig. 3):
2
321 TTTtimet requested
++−= (1)
For more details on SMIT architecture see [10].
3 Wind systems sensorial data Maintenance of wind turbines uses many techniques
similar to other maintenance objects. In this field
many authors [11], [12], [13], [14] are working
using acoustic techniques, vibration techniques,
infrared images, stress measurement, zero crossing
current analysis, artificial intelligence, only to name
a few. Under this work the techniques used for
monitoring the wind systems condition are based in
the following aspects:
• Measuring the wind speed, using an
analogue anemometer and a ultrasonic
Proceedings of the 3rd WSEAS Int. Conf. on ENERGY PLANNING, ENERGY SAVING, ENVIRONMENTAL EDUCATION
ISSN: 1790-5095 130 ISBN: 978-960-474-093-2
anemometer WMT50 from Vaisala
Company;
• Active power measurement;
• Classification using artificial intelligence
(Fig. 6);
• Vibration monitoring on generator and
gearbox;
• Weather forecast using information from
weather sites, tracking the wind velocity
(using time series analysis);
• Time series analysis using regression
techniques;
• Weather monitoring station (future
developments).
Fig. 6 – Up: Wind velocity versus active power
produced, for a wind system in a wind farm.
Down: classification using a SVM classification.
For numerical data processing, the SMIT
incorporates the Octave distribution version 3.0.3
and version 2.8.0 of R [15]. The R and Octave
scripts are stored in the SMIT database, enabling the
users to modify/change them as needed. The R
scripts can be executed from a PHP script or from a
database command that starts the PHP script and
indicates the Octave or R script that shall be
executed.
3.1 SVM classification From wind and power measurement it is possible to
predict the power curve. The main idea is to relate
the power curve with normal or faulty condition in a
first step. The first algorithm uses SVM - Support
Vector Machine. The SVM after being trained will
be able to classify a new sample vectorn
x ℜ∈r
. This
method, developed initially for binary decisions
(true/false), can be adapted for n classifications.
Under training phase, a set D of vectors is
considered:
( ) ( ) nn yxyxD ,..., 11
rr= , with 1,1, −∈ℜ∈
→
i
n
i yx
Depending on the choice of the kernel function,
the SVM will be able to produce good or bad
classifications. The function that usually gives better
results is the RBF; more details can be seen in [16],
[17], [18] and [19].
Fig. 7 – Results of a SVM classifier for another
plant, using a RBF kernel function with a parameter
of 0.06. Red color represents uncharacteristic
operation.
The proposed vector xr
is defined in 6ℜ by:
−
=
conditionBreaking
poweractive
rotorhighvelocity
rotorlowvelocity
directionnacelledirectionWind
VelocityWind
xturbine
_
_
__
__
__
_
r
Figure 7 shows some results of a SVM classifier.
The difference between this graphic and of Fig. 6,
Proceedings of the 3rd WSEAS Int. Conf. on ENERGY PLANNING, ENERGY SAVING, ENVIRONMENTAL EDUCATION
ISSN: 1790-5095 131 ISBN: 978-960-474-093-2
resides on some points bad classified in abnormal
operation on Fig. 6. In this case, good operation
points like situation where the system is turned off
should be considered as a good operation situation
like showed in this graphic.
3.2 Wind measurements Wind measures are acquired using an anemometer
with sampling frequency of 1Hz, either using
WMT50 ultrasonic sensor from Vaisala or using an
analogue cups anemometer.
Fig.8 – Left: WMT50 from Vaisala. Right: Analogue
cups anemometer
3.3 Gearbox vibration monitoring The second algorithm uses an accelerometer to
monitor vibrations on the gearbox and in the
generator where the line currents are also monitored.
To identify faults, two assays were performed. The
first, an induction motor was used as motor and the
second one as generator. In the first test, four
induction motors were used, one healthy and two
motors with some kind of damage provoked, like
broken bars. The motors were tested with full load,
half load and without any load. The same test was
performed using the motor as generator but
introducing loads.
Many other alerts can be programmed, based on
time series algorithms, if new sensors are added in
the field; otherwise, the user can program it using
Octave language; for more details see [10].
3.4 Time series analysis of sensorial data The time series analysis accompanies and tries to
understand and to predict the evolution of data
through time. The important issues to measure are
the following: trend; seasonality; cyclicality; and
error or random components. In the science field,
time series analysis are welcome on the economics
to maximize profit, but also to forecast important
aspect of humans, like environmental catastrophes,
minimizing human dramas, predicting industrial
production to adjust the production to the estimated
levels of search, and many others.
Many techniques have been presented
throughout history catalogued in three great
methodologies: use of statistical methods; use of
adequate models to the process under question; and
use of artificial intelligence methodologies [20],
[21]. Although, the innumerable methods, more or
less elaborated, all of them present forecasting
errors, being one of the imperatives to minimize a
defined metric adjacent to the measure of these
errors. More details can be seen on [22].
If time series [23], [24], [25], [26], [27], [28],
[29], [30] forecasting can be accomplished by
normal function, the series is called deterministic;
otherwise, if forecasting is only possible by
statistical methods, the time series is called
stochastic. The respective stochastic process can be
represented by ( ) Ω∈∈= θθ ,;, TttyY , where T
represents the time space and Ω represents the space
of a probabilistic event. A stochastic temporal
process is stationary if it is invariant to a time shift,
i.e., ( ) ( ) Ttttyty ∈∆∀∆+= ,,, θθ .
For each observation, a stochastic time series
will apply, represented by ,...3,2,1],[ =kky , where k
represents a variable evenly spaced in time in which
ktt s ⋅∆= . Then, the problem is how to forecast the
values for [ ] 0,ˆ >+ mmky (we will use notation y
for prediction and, in some cases, for better
readability, ][kyyk = ).
[ ] [ ]( ) 1,...,0,1ˆ −=−=+ kiikyfky (2)
The quality of forecasting will be measured by
error indicators: MSE – Mean Squared Error, TIC -
Theil Inequality Coefficient, ME – Mean Average,
STD – Standard Deviation, MAE – Mean Absolute
Error.
The tested algorithms are the following: Moving
average (MAS); Exponential Smoothing (ES);
Adaptive Response Rate Single Exponential
Smoothing (ARRSES); Exponential Smoothing
Algorithm – Holt-Winters forecast (results will be
labeled with HWSas with seasonality and HW
without it); AR, MA, ARMA and ARIMA models,
Box-Jenkins (labeled with ARMA) and Support
Vector Regression (SVR).
Exponential smoothing is also used on this work.
Initialization is achieved by [ ] [ ]11ˆ yy = , and normal
operation by:
[ ] [ ] ( ) [ ]
( )
−−⋅⋅+=+
−⋅−+⋅=
]1[ˆ][][ˆ][ˆ
1ˆ1ˆ
kykymkymky
kykyky
α
αα,
where [ ]1,0∈α . (3)
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ISSN: 1790-5095 132 ISBN: 978-960-474-093-2
The value α can be fixed or estimated, namely
through minimizing the MSE, conducting to a non-
linear optimization problem, usually solved by the
Levenberg-Marquardt algorithm.
It is possible to continuously update α value
(results will be labeled with ESMSE - this is the
method used preferentially in this work) - and
introducing an estimation of α with an implicit
error, considering that the old forecasting values are
independent of α; equation (4) represents the
update. However, it can be used the mean of
equation (4) with the same equation (4) considering
now [ ] [ ]11ˆ −=− iyiy (MSE minimization).
[ ]( ) [ ]( )
[ ]( )
2,
1ˆ][
1ˆ][1ˆ]1[
2
≥
−−
−−⋅−−+
=
∑
∑
=
= n
iyiy
iyiyiyiy
k
ni
k
niα (4)
Fig. 9 – The results of the methods, here is clearly
that smoothing moving average prediction (MAS)
will not work.
“… to forecast the temporal instant where we
will have one probable damage. With this
information it will be launched an working order in
SMIT maintenance software, to prevent the causes
that in the future would give damages, to allow the
correction in the present time…” [22].
The answer of this question stipulates, at first
place, the continuity of observing main variables
and provides instant information to the "health state"
of equipment. After a maintenance intervention, the
time series will be initialized again. This last
procedure will overcome the problem of measuring
accurately the seasonal period and, in practice, will
remove it. But, another feature, the algorithm has
the necessity, for each signal, to indicate the
intervals of tolerance, acknowledgment interval and
the critical interval. When the time series provides
an output of these bauds, the SMIT software
launches a warning to the operator.
Figure 9 shows the first typical time series to
track divided, for better understanding, in 5 different
types of situations that could occur:
1. From 0-200 we have a situation of a well
defined trend;
2. From 200-400 a normal operation;
3. From 400-600 a well defined trend with
different slopes;
4. From 600-800 a high slope trend and,
finally;
5. From 800-1000 a quadratic trend.
Table I, shows the results for the tested methods,
and the proposed method ESMSE achieved the best
performance in the majority of proposed indicators
except in the ME indicator. It should be noticed that
the forecast is for one step ahead. For ten steps
ahead, the best algorithm is HW - Holt Winters, and
ESMSE is the fourth best.
Table I - Prediction of 1 step ahead
4 Conclusion In this paper an integrated computer system based
on different computer systems has been presented.
This system is based on especial firmware to acquire
relevant information. Integration with octave and R
algorithms and SMIT database system is also
relevant for this purpose. SVM classification for
state monitoring is very significant and achieves
good performance. Time series tracking are used for
forecasting problematic situations, having been
compared nine methods to choose the most relevant;
however, experience indicates that for different
situations the method that generates the best
estimators can change. To overcome this situation
the final algorithm decides online the method to be
used based on the MSE indicator. The nine methods
are running in simultaneous for the same variable,
MS
E
TIC
ME
ST
D
MA
E
ARRSE 28.362 0.0627 0.3995 5.3132 2.7672
ES 26.057 0.0601 0.3145 5.0974 2.6602
HW 26.225 0.0600 0.1665 5.1209 2.6537
HWSAS 29.464 0.0636 0.1880 5.4275 3.0439
ESMSE 24.039 0.0575 0.2464 4.8992 2.6514
MAS-2 1029 0.5976 21.096 24.190 21.857
ARMA(2,2) 42.470 0.0762 -0.1165 6.5191 2.7513
SVR-RBF 84.286 0.1099 1.1043 9.1187 4.2527
SVR-LIN 57.268 0.0880 -0.1571 7.5697 2.9946
Proceedings of the 3rd WSEAS Int. Conf. on ENERGY PLANNING, ENERGY SAVING, ENVIRONMENTAL EDUCATION
ISSN: 1790-5095 133 ISBN: 978-960-474-093-2
and at each sample the performance of each method
is evaluated. Time synchronization is a very good
solution for monitoring variables geographical
separated, allowing to measure signals at the same
time, what is demonstrated in this paper.
References: [1] EWEA – European Wind Energy Association,
www.ewea.org, Annual report of 2008.
[2] Farinha, J. M. T.; Vasconcelos, B. C, “SMITH
- Sistema Modular Integrado de Terologia
Hospitalar”, Actas do 4º Congresso Nacional
de Manutenção Industrial, Porto, 1994.
[3] Torres Farinha, et Al, “A Global View of
Maintenance Management - From Maintenance
Diagnosis to Know-how Retention and
Sharing”. WSEAS Transactions on Systems,
Issue 4, Volume 3, June 2004, ISSN 1109-
2777, pp. 1703-1711.
[4] Simões, António; Farinha, Torres; Fonseca,
Inácio: Marques, Viriato; Manutenção
Condicionada às Emissões Poluentes em
Autocarros Urbanos - Uma abordagem
ecológica; APMI-Assoc. Port. de Manutenção
Industrial, Porto, Dezembro, 2007, Portugal.
[5] Inácio Fonseca, Torres Farinha, Maciel
Barbosa, “Wind Turbines Maintenance – an
integrated approach”, CEE07, International
Conference on Electrical Engineering,
Coimbra, 26-28 November, 2007, Portugal,
[6] Inácio Fonseca, Torres Farinha, Maciel
Barbosa, “Manutenção de Geradores Eólicos –
Uma perspectiva integrada”, APMI–Assoc.
Port. Manutenção Industrial, Porto, Dezembro,
2007, Portugal.
[7] Inácio Fonseca, Torres Farinha, Maciel
Barbosa, “Manutenção de Geradores Eólicos –
monitorização da condição de funcionamento”,
Engenharias’2007, Covilhã, 21-23 Novembro,
2007, Portugal
[8] Microchip: www.microchip.com
[9] Luminary: www.luminarymicro.com
[10] Inácio Fonseca, Torres Farinha, Maciel
Barbosa, A computer system for predictive
maintenance of wind generators, 12th WSEAS
International Conference on COMPUTERS,
Heraklion, Greece, July 23-25, 2008, ISSN:
1790-5109, pages 928-933.
[11] Gotenborg, P.Caselitz, Advanced Condition
Monitoring System for Wind Energy
Converters, 1999
[12] A. Hameed et Al, “Condition monitoring and
fault detection of wind turbines and related
algorithms: A review”., Renew Sustain Energy
Rev (2007).
[13] Scheffer, Cornelius; Girdhar, Paresh; 2004:
Practical Machinery Vibration Analysis and
Predictive Maintenance; Elsevier; ISBN 0-
7506-6275-1.
[14] “Advanced Maintenance and Repair for
Offshore wind farms using fault prediction and
Condition Monitoring Techniques”, E.U. final
report of project NNE5/2001/710.
[15] Octave and R softwares:
www.gnu.org/software/octave/ and www.r-
project.org/
[16] Cauwenbergh, Poggio, “Incremental and
Decremental Support Vector Machine
Learning”, Article, 2001
[17] Kecman, V, Learning and Soft Computing,
MIT Press, Cambridge, MA. 2001.
[18] Suykens, J.A.K., Van Gestel, T., De Brabanter,
J., De Moor, B., Vandewalle, J., Least Squares
Support Vector Machines, World Scientific,
Singapore, 2002.
[19] Scholkopf, B., Smola, A.J., Learning with
Kernels, MIT Press, Cambridge, MA. 2002.
[20] Manabu GOUKO and Koji ITO, An Action
Generation Model Using Time Series
Prediction, Proceedings of International Joint
Conference on Neural Networks, Orlando,
Florida, USA, August 12-17, 2007
[21] Ricardo de A. Araújo, et all, An Evolutionary
Morphological-Rank-Linear Approach for
Time Series Prediction, 2007 IEEE Congress
on Evolutionary Computation (CEC 2007)
[22] Inácio Fonseca, Torres Farinha, F. P. Maciel
Barbosa, “On-Condition Maintenance for Wind
Turbines”, IEEE, PowerTech 2009.
[23] Anna Mikusheva, course materials for 14.384
Time Series Analysis, Fall 2007, MIT
OpenCourseWare (http://ocw.mit.edu),
Massachusetts Institute of Technology.
Downloaded on [20-08-2008].
[24] Numerical Recipes, Introduction to Series
Analysis.
[25] Mr. K Koteswara Rao et all, Statistical
Prediction Based on Estimation of Conditional
Density, IJCSNS International Journal of
Computer Science and Network Security,
VOL.8 No.4, April 2008.
[26] T. Rothenberg, Univariate Time Series Models,
Econ 241b, Fall 2005.
[27] Ming-Wei Chang, et all, Analysis of
nonstacionary time series using support vector
machines, Dep. of Statistics, University of
Taipei.
Proceedings of the 3rd WSEAS Int. Conf. on ENERGY PLANNING, ENERGY SAVING, ENVIRONMENTAL EDUCATION
ISSN: 1790-5095 134 ISBN: 978-960-474-093-2
[28] Robert F. Nau, Introduction to ARIMA:
nonseasonal models, (Available:
http://www.duke.edu/~rnau, on 22-08-2008).
[29] ONG Chorng-Shyong, et all, Model
identification of ARIMA family using genetic
algorithms, Applied mathematics and
computation ISSN 0096-3003 CODEN
AMHCBQ, 2005, vol. 164, no3, pp. 885-912.
[30] I. Rojas, et all, Soft-computing techniques and
ARMA model for time series prediction,
Neurocomputing archive, ISSN:0925-2312,
Volume 71 , Issue 4-6,January 2008, Pages
519-537.
[31] SNTP:www.cis.udel.edu/~mills/database/rfc/rf
c4330.txt
[32] PTP:en.wikipedia.org/wiki/Precision_Time_Pr
otocol#IEEE_1588-2008, and an
implementation of PTPD in
http://ptpd.sourceforge.net/
Proceedings of the 3rd WSEAS Int. Conf. on ENERGY PLANNING, ENERGY SAVING, ENVIRONMENTAL EDUCATION
ISSN: 1790-5095 135 ISBN: 978-960-474-093-2