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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 08 Issue: 01 | Jan 2021 www.irjet.net p-ISSN: 2395-0072
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© 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 182
Millisecond Rotation Pulsars as Next Generation Grid Timing Sources
Peter Fuhr1, Sterling Rooke2
1Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA
2University of Tennessee, Dept. of Electrical and Computer Engineering, Knoxville, Tennessee, 37996, USA
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract – Time synchronized measurements of electric
grid parameters provide a basis for overall system operation
optimization. An examination of the use of a millisecond
rotation pulsar as a grid measurement timing source is
presented.
Key Words: electric grid, timing, pulsars
1. Introduction
Wide-area synchronized measurement systems enable
the monitoring of overall bulk power systems, such as the
US transmission line network illustrated in Fig.1. Critical
information is provided by such wide scale monitoring for
understanding and responding to power system
disturbances and cascading blackouts. An example of this
critical information need arises when a significant power
disturbance occurs, causing the frequency and phase angle
of the power signal to vary in time and space, which, in
many ways, exhibits the characteristics of
electromechanical wave propagation.
Fig. 1. Electric transmission lines (colors indicate varying
voltage levels). (Source: FEMA)
According to IEEE standard C37.118.2011, the total
vector error (TVE) of synchronized phasor measurements
of the electric grid power waveform should be less than 1%
[1]. In order to achieve measurement accuracy higher than
the IEEE standard, precise time synchronization is
essential for waveform sampling in grid sensors, most
predominantly for Phasor Measurement Units (PMUs).
Since Global Positioning System (GPS) can provide time
accuracy better than 100 ns, in theory, via pulse per second
(PPS) signals, it is currently used for the waveform
sampling in PMUs [2,3]. Sharing a uniform time reference
PPS signal enables PMUs across a wide geographical area
to synchronize their clocks and therefore their
measurements. Specifically, by demodulating the GPS
signal, GPS receivers within PMUs can align their time with
the GPS-provided time and then output a high precision
PPS signal for waveform sampling. Fig 2 presents an
illustration of the phase alignment situation present in a
multibus electric grid. The number of devices and systems
reliant on this time signal is proportional to the number of
power plants (~7000) and substations (55,000) within the
US electric grid [4].
Synchronized measurements of grid parameters -
specifically voltage, frequency and phase – can provide the
basis for optimization of overall grid operations.
Fig. 2. Phase alignment of two grid buses.
Fig 3 illustrates the grid network architecture where
automated reclosers are in use. Having the capability to
accurately measure the phase of the electric signal being
supplied from substations 1 and 2 (in Fig 3) allows the
system operation to respond to outages via opening and
closing such switches in an optimal manner.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072
© 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 183
Fig. 3. “Standard” automated recloser network
architecture.
The question arises as to appropriate time sources as
replacements or back-ups to GPS.
2. Grid Applications and Timing Requirements
There are other parameters besides the phase of the
electric signal that are measured directly (or computed
based on measurements) for optimal grid operations. The
timing requirements for a variety of such measurements
are displayed in Fig 4. Note that as the electric grid
operates at electromechanical speeds, there are potential
applications that would be characterized as operating at
electromagnetic speeds.
Fig. 4. Various timing needs for grid applications.
The measurement fidelity of a parameter wave moving
through a location field, Fig 5, such as that associated with
an operational electrical grid, is based on the
measurements taken and mathematical analytical
processes applied. The possibility of having sensor suites
capable of measuring multiple parameters – with the
requisite associated high resolution geolocation and time
stamped information – gives rise to various application
scenarios.
Fig. 5. A parameter wave moving across an array of
sensors.
While the notion of correlating measurements taken at
different times and locations is hardly new and crosses into
the realm of sensor/data fusion1 [5], having measurements
with accurate geolocation and time stamped metadata
provides a basis for a variety of mathematical tools to be
applied in the analysis – both trends and predictions – of
seemingly disparate information sets.
Table 1 presents a list of grid applications and the
associated timing requirements. A detailed description of
such – and related – applications is available [6].
Table 1. Grid applications and associated timing
requirements [6].
Table 2 presents many of the same grid applications
shown in Table 1, but adds the method of timing
distribution as well as the timing source most frequently
used.
1 The following data fusion description has been extracted from
New World Vistas: Air and Space Power for the 21st Century,
Chapter 3 (accessed at
http://www.au.af.mil/au/awc/awcgate/vistas/vistas.htm ):
“…there is a greater demand to expand the dimensionality of
sensed information acquired—driving the need for multiple
sensors and the combination of that data. This demand to expand
the time and space dimensionality of sensed data adds two
important themes to New World Vistas: (1) sensors must be
designed to be integrated and coordinated to maximize the
overall system measurement process, and (2) processes are
required to efficiently and accurately correlate and fuse data
from a variety of sensors.”
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072
© 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 184
Table 2. Grid applications and timing requirements. (PTP:
Precision Time Protocol: 1588; 1588 GMC: Grand Master
Clock; NTP: Network Time Protocol; SCADA: Supervisory
Control Architecture and Data Acquisition)
Timing requirements in an industrial control system are
similar to those for grid applications. A time source and
distribution network is presented in Fig. 6. Note that in
this architecture a layered approach, similar to that of
ISA95 (Purdue Model), is used with appropriate
cybersecurity safeguards embedded into the devices.
Fig. 6. Industrial automation time use and distribution
network. (Source: [7])
3. Possible Space-Based Time Sources
The notion of augmenting GPS, whose satellite
constellation is stationed in low earth orbit (LEO), with
other space-based timing sources operating in medium
earth orbit (MEO) or geosynchronous orbit (GEO) is an
active endeavor. The US Federal Aviation Administration’s
(FAA) Wide Area Augmentation Service (WAAS) has a
number of satellites in geosynchronous orbit [8]. Further
studies have examined placing time source satellites in
quasi-stable Earth-Moon LaGrange points L1 and L2, Fig 7.
Fig. 7. Representation of satellite earth orbits and earth-
moon LaGrange Points. (LEO: low earth orbit; MEO:
medium earth orbit; GEO: geosynchronous earth orbits; L1
and L2 are gravitational null LaGrange points. [9]
NASA’s Station Explorer for X-ray Timing and
Navigation Technology (SEXTANT) project placed an X-ray
receiver onto the International Space Station (ISS), Fig 8,
for determining if x-ray pulsar sources could be used for
space-based position and navigation applications.
SEXTANT relied on the instrument Neutron-star Interior
Composition Explorer (NICER) to “demonstrate real-time,
on-board X-ray pulsar navigation, which is a significant
milestone in the quest to establish a GPS-like navigation
capability that will be available throughout our Solar System
and beyond [10].“
Fig. 8. Photograph of SEXTANT on the ISS. [10]
A 2016 presentation [11] described the possibility of using
a multitude of LEO satellites as navigational sources. From
[11]: “New players are coming with proposals to build
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072
© 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 185
constellations of hundreds and even thousands of satellites in
low Earth orbit (LEO). Their aim is delivering Internet to the
world by providing global broadband coverage. We focus on
how such constellations could be leveraged to carry a hosted
payload, allowing them to act as navigation satellites.”. Such
a situation is illustrated in Fig 9.
Fig. 9. Depiction of a grid-array of satellites. [12]
As compact and highly magnetized rotating neutron stars,
pulsars emit electromagnetic radiation as they rotate [13-
15]. The magnetic axis of a pulsar inclines to the rotation
axis as illustrated in Fig 10, and it acts like a cosmic light-
house emitting radio pulses that can be detected once the
beam is directed towards the Earth per rotation.
Fig. 10. A rotating neutron star, a Pulsar, functions
similarly to a fast rotation lighthouse beacon.
The rotation periods of most pulsars are between 0.001
and 1.0 seconds with a deviation of less than seconds
per second with certain pulsars exhibiting a rotation period
variation of less than seconds [16-26]. This makes
pulsars a viable timing signal source - a natural cosmic
clock - in terms of precision and long-term stability as
shown in Fig. 11 [27].
Fig. 11. Comparison between pulsar timing and other
clocks [28].
Of particular note are millisecond rotation pulsars (MRPs)
for these fast rotation neutron stars radiate a highly
repeatable signal. The signal-to-noise ratio (SNR) guiding
the detection of the MRP signal with period P and pulse
width W is provided as Equation 1.
Eq.1
Where Sav is the time average flux being detected using a
radio telescope of effective aperture Aeff. Tsys is the system
temperature, using bandwidth B and time constant s,
width Np pulses being measured [29].
Fig. 12. Map of MRPs discovered by NASA’s Fermi X-Ray
observatory. [30]
The National Radio Astronomical Observatory (NRAO)
20m Skynet automated radio telescope has provided
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072
© 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 186
recorded signals from MRP J1939+2134. A representative
waveform is presented as Fig 13. The timing signal with the
waveform is highlighted.
Fig. 13. MRP J1939+2134 received waveform.
Signal reception and timing pulse extraction follows the
process illustrated in Fig 14. Utilization of the generated
and distributed time signal may be by phasor
measurement units (PMUs), power systems controllers, or
other systems performing grid applications.
Fig. 14. Process for extracting the timing information from
a MRP signal.
4. Practical Considerations
With the process of receiving, extracting and distributing
time signals based on MRP signals defined and
demonstrated, the question of an implementation at an
electric utility’s substation arises. While there is no
standardized size for all such substations, a representative
one in Chattanooga TN has been used to determine if an
adequately sized radio telescope could be deployed within
the substation’s fence line (physical boundary). In the case
of using a 20m radio telescope, similar to the NRAO Skynet
20m, a simple overlay of 20m diameter shows that it could
“fit” within this substation’s boundary, Fig 15.
Fig. 15. Deployment of a 20m radio telescope within an
electrical substation.
5. Summary
Millisecond rotation pulsars may serve as reliable time
sources for electrical grid applications. While the example
of placing a radio telescope within a substation has been
presented, the time pulse may serve as an input into a
1588 (or similar) network for time distribution. In such a
case the radio telescope does not require to be within the
substation, although the associated signal processing and
time signal generation must be network connected. Such
integration into an envisioned electric utility time
distribution network is presented as Fig. 16 [31].
Pulsar
Timing signal
Timing
Pulse1588
Timing PulseIRIG-B
Fig. 16. Time distribution utilizing a millisecond rotation
pulsar source.
6. References
1. IEEE Standard for Synchrophasors for Power System,
C37.118-2014.1, IEEE Power System Relaying Committee
of the Power Engineering Society, available at:
https://webstore.ansi.org/Standards/IEEE/IEEEStdC371
182005?gclid=EAIaIQobChMI3O3DmP2E7gIVpB6tBh2CRg
SNEAMYASAAEgKZO_D_BwE
2. Y.Liu, L. Zhan and et.al. "Wide-Area Measurement
System Development at the Distribution Level: an
FNET/GridEye Example," IEEE Trans. Power Deliver, vol.
31, no. 2, pp. 721-731, April 2016
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072
© 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 187
3. Jiecheng Zhao, Lingwei Zhan, Yilu Liu, Hairong Qi, Jose R.
Gracia, and Paul. D. Ewing. "Measurement Accuracy
Limitation Analysis on Synchrophasors," IEEE Power &
Energy Society General Meeting (PES-GM), 2015.
4. https://foreignpolicy.com/2016/07/31/the-threat-to-
americas-electrical-grid-is-much-bigger-than-you-can-
possibly-imagine-cyberwar-squirrels-rodents-hackers/
5. An Introduction to Image Synthesis with Generative
Adversarial Nets, He Huang, Philip S. Yu and Changhu
Wang, accessed at https://arxiv.org/pdf/1803.04469.pdf.
6. Time Synchronization in the Electric Power System”,
NASPI 2017-TR-001, Available at:
https://www.naspi.org/sites/default/files/reference_doc
uments/tstf_electric_power_system_report_pnnl_26331_m
arch_2017_0.pdf3.
7. Rockwell Automation’s White Paper entitled “Choosing
the correct Time Synchronization Protocol and
incorporating the 1756-TIME module into your
Application".
8.https://www.faa.gov/about/office_org/headquarters_off
ices/ato/service_units/techops/navservices/gnss/waas/
9. https://thespaceoption.com/portfolio/cislunar-space/
10. https://www.nasa.gov/feature/goddard/2018/nasa-
team-first-to-demonstrate-x-ray-navigation-in-space
11. “Leveraging Commercial Broadband LEO Constellations
for Navigation”, accessed at
https://gps.stanford.edu/research/current-research/LEO-
sat-nav
12.https://www.c4isrnet.com/battlefield-tech/c2-
comms/2019/11/29/can-hundreds-of-unrelated-
satellites-create-a-gps-backup/
13. Bailes, Matthew. "The art of precision pulsar timing."
Proceedings of the International Astronomical Union
5.S261 (2009): 212-217.
14. Jim Cordes, “Pulsar Timing Noise Spectra”,
https://astro.unibonn.de/~tauris/NS2016/Cordes_PTA.pd
f
15. Matsakis, Demetrios Nicholas, Joseph Hooton Taylor,
and T. Marshall Eubanks. "A statistic for describing pulsar
and clock stabilities." Astronomy and Astrophysics 326
(1997): 924-928.
16. Hobbs, G., et al. "The international pulsar timing array
project: using pulsars as a gravitational wave detector."
Classical and Quantum Gravity 27.8 (2010): 084013.
17. Hobbs, G. "The Parkes pulsar timing array." Classical
and Quantum Gravity 30.22 (2013): 224007.
18. Hobbs, George B., et al. "Gravitational-wave detection
using pulsars: status of the Parkes pulsar timing array
project." Publications of the Astronomical Society of
Australia 26.2 (2009): 103-109.
19. Lee, K. J., et al. "Gravitational wave astronomy of single
sources with a pulsar timing array." Monthly Notices of the
Royal Astronomical Society 414.4 (2011): 3251-3264.
20. Kramer, Michael, and David J. Champion. "The
European pulsar timing array and the large European array
for pulsars." Classical and Quantum Gravity 30.22 (2013):
224009.
21. Burt, Brian J., Andrea N. Lommen, and Lee S. Finn.
"Optimizing pulsar timing arrays to maximize gravitational
wave single-source detection: a first cut." The
Astrophysical Journal 730.1 (2011): 17.
22. Hotan, A. W., M. Bailes, and S. M. Ord. "High-precision
baseband timing of 15 millisecond pulsars." Monthly
Notices of the Royal Astronomical Society 369.3 (2006):
1502-1520.
23. Jenet, Fredrick A., et al. "Constraining the properties of
supermassive black hole systems using pulsar timing:
application to 3C 66B." The Astrophysical Journal 606.2
(2004): 799.
24. Finn, Lee Samuel, and Andrea N. Lommen. "Detection,
Localization, and Characterization of Gravitational Wave
Bursts in a Pulsar Timing Array." The Astrophysical Journal
718.2 (2010): 1400.
25. Hobbs, G. B., R. T. Edwards, and R. N. Manchester.
"TEMPO2, a new pulsar-timing package–I. An overview."
Monthly Notices of the Royal Astronomical Society 369.2
(2006): 655-672.
26. Stinebring, D. R., et al. "Cosmic gravitational-wave
background: limits from millisecond pulsar timing."
Physical Review Letters 65.3 (1990): 285.
27. Backer, D. C., and R. W. Hellings. "Pulsar timing and
general relativity." Annual review of astronomy and
astrophysics 24.1 (1986): 537-575.
28. G. Hartnett and A. N. Luiten, "Colloquium: Comparison
of astrophysical and terrestrial frequency standards,"
Reviews of Modern Physics, vol. 83, pp. 1-9, Jan. 2011.
29.http://www.ncra.tifr.res.in/ncra/gmrt/gmrt-
users/low-frequency-radio-astronomy/ch17.pdf
30.http://www.nasa.gov/images/content/415468main_ga
lactic_gps_msps_HI.jpg
31. He Yin (et al), “Pulsar Based Alternative Timing Source
for Grid Synchronization and Operation”, IEEE Access, Vol
8, August 2020.

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IRJET - Millisecond Rotation Pulsars as Next Generation Grid Timing Sources

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 08 Issue: 01 | Jan 2021 www.irjet.net p-ISSN: 2395-0072 This manuscript has been authored in part by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan). © 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 182 Millisecond Rotation Pulsars as Next Generation Grid Timing Sources Peter Fuhr1, Sterling Rooke2 1Oak Ridge National Laboratory, Oak Ridge, Tennessee, USA 2University of Tennessee, Dept. of Electrical and Computer Engineering, Knoxville, Tennessee, 37996, USA ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract – Time synchronized measurements of electric grid parameters provide a basis for overall system operation optimization. An examination of the use of a millisecond rotation pulsar as a grid measurement timing source is presented. Key Words: electric grid, timing, pulsars 1. Introduction Wide-area synchronized measurement systems enable the monitoring of overall bulk power systems, such as the US transmission line network illustrated in Fig.1. Critical information is provided by such wide scale monitoring for understanding and responding to power system disturbances and cascading blackouts. An example of this critical information need arises when a significant power disturbance occurs, causing the frequency and phase angle of the power signal to vary in time and space, which, in many ways, exhibits the characteristics of electromechanical wave propagation. Fig. 1. Electric transmission lines (colors indicate varying voltage levels). (Source: FEMA) According to IEEE standard C37.118.2011, the total vector error (TVE) of synchronized phasor measurements of the electric grid power waveform should be less than 1% [1]. In order to achieve measurement accuracy higher than the IEEE standard, precise time synchronization is essential for waveform sampling in grid sensors, most predominantly for Phasor Measurement Units (PMUs). Since Global Positioning System (GPS) can provide time accuracy better than 100 ns, in theory, via pulse per second (PPS) signals, it is currently used for the waveform sampling in PMUs [2,3]. Sharing a uniform time reference PPS signal enables PMUs across a wide geographical area to synchronize their clocks and therefore their measurements. Specifically, by demodulating the GPS signal, GPS receivers within PMUs can align their time with the GPS-provided time and then output a high precision PPS signal for waveform sampling. Fig 2 presents an illustration of the phase alignment situation present in a multibus electric grid. The number of devices and systems reliant on this time signal is proportional to the number of power plants (~7000) and substations (55,000) within the US electric grid [4]. Synchronized measurements of grid parameters - specifically voltage, frequency and phase – can provide the basis for optimization of overall grid operations. Fig. 2. Phase alignment of two grid buses. Fig 3 illustrates the grid network architecture where automated reclosers are in use. Having the capability to accurately measure the phase of the electric signal being supplied from substations 1 and 2 (in Fig 3) allows the system operation to respond to outages via opening and closing such switches in an optimal manner.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072 © 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 183 Fig. 3. “Standard” automated recloser network architecture. The question arises as to appropriate time sources as replacements or back-ups to GPS. 2. Grid Applications and Timing Requirements There are other parameters besides the phase of the electric signal that are measured directly (or computed based on measurements) for optimal grid operations. The timing requirements for a variety of such measurements are displayed in Fig 4. Note that as the electric grid operates at electromechanical speeds, there are potential applications that would be characterized as operating at electromagnetic speeds. Fig. 4. Various timing needs for grid applications. The measurement fidelity of a parameter wave moving through a location field, Fig 5, such as that associated with an operational electrical grid, is based on the measurements taken and mathematical analytical processes applied. The possibility of having sensor suites capable of measuring multiple parameters – with the requisite associated high resolution geolocation and time stamped information – gives rise to various application scenarios. Fig. 5. A parameter wave moving across an array of sensors. While the notion of correlating measurements taken at different times and locations is hardly new and crosses into the realm of sensor/data fusion1 [5], having measurements with accurate geolocation and time stamped metadata provides a basis for a variety of mathematical tools to be applied in the analysis – both trends and predictions – of seemingly disparate information sets. Table 1 presents a list of grid applications and the associated timing requirements. A detailed description of such – and related – applications is available [6]. Table 1. Grid applications and associated timing requirements [6]. Table 2 presents many of the same grid applications shown in Table 1, but adds the method of timing distribution as well as the timing source most frequently used. 1 The following data fusion description has been extracted from New World Vistas: Air and Space Power for the 21st Century, Chapter 3 (accessed at http://www.au.af.mil/au/awc/awcgate/vistas/vistas.htm ): “…there is a greater demand to expand the dimensionality of sensed information acquired—driving the need for multiple sensors and the combination of that data. This demand to expand the time and space dimensionality of sensed data adds two important themes to New World Vistas: (1) sensors must be designed to be integrated and coordinated to maximize the overall system measurement process, and (2) processes are required to efficiently and accurately correlate and fuse data from a variety of sensors.”
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072 © 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 184 Table 2. Grid applications and timing requirements. (PTP: Precision Time Protocol: 1588; 1588 GMC: Grand Master Clock; NTP: Network Time Protocol; SCADA: Supervisory Control Architecture and Data Acquisition) Timing requirements in an industrial control system are similar to those for grid applications. A time source and distribution network is presented in Fig. 6. Note that in this architecture a layered approach, similar to that of ISA95 (Purdue Model), is used with appropriate cybersecurity safeguards embedded into the devices. Fig. 6. Industrial automation time use and distribution network. (Source: [7]) 3. Possible Space-Based Time Sources The notion of augmenting GPS, whose satellite constellation is stationed in low earth orbit (LEO), with other space-based timing sources operating in medium earth orbit (MEO) or geosynchronous orbit (GEO) is an active endeavor. The US Federal Aviation Administration’s (FAA) Wide Area Augmentation Service (WAAS) has a number of satellites in geosynchronous orbit [8]. Further studies have examined placing time source satellites in quasi-stable Earth-Moon LaGrange points L1 and L2, Fig 7. Fig. 7. Representation of satellite earth orbits and earth- moon LaGrange Points. (LEO: low earth orbit; MEO: medium earth orbit; GEO: geosynchronous earth orbits; L1 and L2 are gravitational null LaGrange points. [9] NASA’s Station Explorer for X-ray Timing and Navigation Technology (SEXTANT) project placed an X-ray receiver onto the International Space Station (ISS), Fig 8, for determining if x-ray pulsar sources could be used for space-based position and navigation applications. SEXTANT relied on the instrument Neutron-star Interior Composition Explorer (NICER) to “demonstrate real-time, on-board X-ray pulsar navigation, which is a significant milestone in the quest to establish a GPS-like navigation capability that will be available throughout our Solar System and beyond [10].“ Fig. 8. Photograph of SEXTANT on the ISS. [10] A 2016 presentation [11] described the possibility of using a multitude of LEO satellites as navigational sources. From [11]: “New players are coming with proposals to build
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072 © 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 185 constellations of hundreds and even thousands of satellites in low Earth orbit (LEO). Their aim is delivering Internet to the world by providing global broadband coverage. We focus on how such constellations could be leveraged to carry a hosted payload, allowing them to act as navigation satellites.”. Such a situation is illustrated in Fig 9. Fig. 9. Depiction of a grid-array of satellites. [12] As compact and highly magnetized rotating neutron stars, pulsars emit electromagnetic radiation as they rotate [13- 15]. The magnetic axis of a pulsar inclines to the rotation axis as illustrated in Fig 10, and it acts like a cosmic light- house emitting radio pulses that can be detected once the beam is directed towards the Earth per rotation. Fig. 10. A rotating neutron star, a Pulsar, functions similarly to a fast rotation lighthouse beacon. The rotation periods of most pulsars are between 0.001 and 1.0 seconds with a deviation of less than seconds per second with certain pulsars exhibiting a rotation period variation of less than seconds [16-26]. This makes pulsars a viable timing signal source - a natural cosmic clock - in terms of precision and long-term stability as shown in Fig. 11 [27]. Fig. 11. Comparison between pulsar timing and other clocks [28]. Of particular note are millisecond rotation pulsars (MRPs) for these fast rotation neutron stars radiate a highly repeatable signal. The signal-to-noise ratio (SNR) guiding the detection of the MRP signal with period P and pulse width W is provided as Equation 1. Eq.1 Where Sav is the time average flux being detected using a radio telescope of effective aperture Aeff. Tsys is the system temperature, using bandwidth B and time constant s, width Np pulses being measured [29]. Fig. 12. Map of MRPs discovered by NASA’s Fermi X-Ray observatory. [30] The National Radio Astronomical Observatory (NRAO) 20m Skynet automated radio telescope has provided
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072 © 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 186 recorded signals from MRP J1939+2134. A representative waveform is presented as Fig 13. The timing signal with the waveform is highlighted. Fig. 13. MRP J1939+2134 received waveform. Signal reception and timing pulse extraction follows the process illustrated in Fig 14. Utilization of the generated and distributed time signal may be by phasor measurement units (PMUs), power systems controllers, or other systems performing grid applications. Fig. 14. Process for extracting the timing information from a MRP signal. 4. Practical Considerations With the process of receiving, extracting and distributing time signals based on MRP signals defined and demonstrated, the question of an implementation at an electric utility’s substation arises. While there is no standardized size for all such substations, a representative one in Chattanooga TN has been used to determine if an adequately sized radio telescope could be deployed within the substation’s fence line (physical boundary). In the case of using a 20m radio telescope, similar to the NRAO Skynet 20m, a simple overlay of 20m diameter shows that it could “fit” within this substation’s boundary, Fig 15. Fig. 15. Deployment of a 20m radio telescope within an electrical substation. 5. Summary Millisecond rotation pulsars may serve as reliable time sources for electrical grid applications. While the example of placing a radio telescope within a substation has been presented, the time pulse may serve as an input into a 1588 (or similar) network for time distribution. In such a case the radio telescope does not require to be within the substation, although the associated signal processing and time signal generation must be network connected. Such integration into an envisioned electric utility time distribution network is presented as Fig. 16 [31]. Pulsar Timing signal Timing Pulse1588 Timing PulseIRIG-B Fig. 16. Time distribution utilizing a millisecond rotation pulsar source. 6. References 1. IEEE Standard for Synchrophasors for Power System, C37.118-2014.1, IEEE Power System Relaying Committee of the Power Engineering Society, available at: https://webstore.ansi.org/Standards/IEEE/IEEEStdC371 182005?gclid=EAIaIQobChMI3O3DmP2E7gIVpB6tBh2CRg SNEAMYASAAEgKZO_D_BwE 2. Y.Liu, L. Zhan and et.al. "Wide-Area Measurement System Development at the Distribution Level: an FNET/GridEye Example," IEEE Trans. Power Deliver, vol. 31, no. 2, pp. 721-731, April 2016
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 08 Issue: 1 | Jan 2021 www.irjet.net p-ISSN: 2395-0072 © 2021, IRJET | Impact Factor value: 7.529 | ISO 9001:2008 Certified Journal | Page 187 3. Jiecheng Zhao, Lingwei Zhan, Yilu Liu, Hairong Qi, Jose R. Gracia, and Paul. D. Ewing. "Measurement Accuracy Limitation Analysis on Synchrophasors," IEEE Power & Energy Society General Meeting (PES-GM), 2015. 4. https://foreignpolicy.com/2016/07/31/the-threat-to- americas-electrical-grid-is-much-bigger-than-you-can- possibly-imagine-cyberwar-squirrels-rodents-hackers/ 5. An Introduction to Image Synthesis with Generative Adversarial Nets, He Huang, Philip S. Yu and Changhu Wang, accessed at https://arxiv.org/pdf/1803.04469.pdf. 6. Time Synchronization in the Electric Power System”, NASPI 2017-TR-001, Available at: https://www.naspi.org/sites/default/files/reference_doc uments/tstf_electric_power_system_report_pnnl_26331_m arch_2017_0.pdf3. 7. Rockwell Automation’s White Paper entitled “Choosing the correct Time Synchronization Protocol and incorporating the 1756-TIME module into your Application". 8.https://www.faa.gov/about/office_org/headquarters_off ices/ato/service_units/techops/navservices/gnss/waas/ 9. https://thespaceoption.com/portfolio/cislunar-space/ 10. https://www.nasa.gov/feature/goddard/2018/nasa- team-first-to-demonstrate-x-ray-navigation-in-space 11. “Leveraging Commercial Broadband LEO Constellations for Navigation”, accessed at https://gps.stanford.edu/research/current-research/LEO- sat-nav 12.https://www.c4isrnet.com/battlefield-tech/c2- comms/2019/11/29/can-hundreds-of-unrelated- satellites-create-a-gps-backup/ 13. Bailes, Matthew. "The art of precision pulsar timing." Proceedings of the International Astronomical Union 5.S261 (2009): 212-217. 14. Jim Cordes, “Pulsar Timing Noise Spectra”, https://astro.unibonn.de/~tauris/NS2016/Cordes_PTA.pd f 15. Matsakis, Demetrios Nicholas, Joseph Hooton Taylor, and T. Marshall Eubanks. "A statistic for describing pulsar and clock stabilities." Astronomy and Astrophysics 326 (1997): 924-928. 16. Hobbs, G., et al. "The international pulsar timing array project: using pulsars as a gravitational wave detector." Classical and Quantum Gravity 27.8 (2010): 084013. 17. Hobbs, G. "The Parkes pulsar timing array." Classical and Quantum Gravity 30.22 (2013): 224007. 18. Hobbs, George B., et al. "Gravitational-wave detection using pulsars: status of the Parkes pulsar timing array project." Publications of the Astronomical Society of Australia 26.2 (2009): 103-109. 19. Lee, K. J., et al. "Gravitational wave astronomy of single sources with a pulsar timing array." Monthly Notices of the Royal Astronomical Society 414.4 (2011): 3251-3264. 20. Kramer, Michael, and David J. Champion. "The European pulsar timing array and the large European array for pulsars." Classical and Quantum Gravity 30.22 (2013): 224009. 21. Burt, Brian J., Andrea N. Lommen, and Lee S. Finn. "Optimizing pulsar timing arrays to maximize gravitational wave single-source detection: a first cut." The Astrophysical Journal 730.1 (2011): 17. 22. Hotan, A. W., M. Bailes, and S. M. Ord. "High-precision baseband timing of 15 millisecond pulsars." Monthly Notices of the Royal Astronomical Society 369.3 (2006): 1502-1520. 23. Jenet, Fredrick A., et al. "Constraining the properties of supermassive black hole systems using pulsar timing: application to 3C 66B." The Astrophysical Journal 606.2 (2004): 799. 24. Finn, Lee Samuel, and Andrea N. Lommen. "Detection, Localization, and Characterization of Gravitational Wave Bursts in a Pulsar Timing Array." The Astrophysical Journal 718.2 (2010): 1400. 25. Hobbs, G. B., R. T. Edwards, and R. N. Manchester. "TEMPO2, a new pulsar-timing package–I. An overview." Monthly Notices of the Royal Astronomical Society 369.2 (2006): 655-672. 26. Stinebring, D. R., et al. "Cosmic gravitational-wave background: limits from millisecond pulsar timing." Physical Review Letters 65.3 (1990): 285. 27. Backer, D. C., and R. W. Hellings. "Pulsar timing and general relativity." Annual review of astronomy and astrophysics 24.1 (1986): 537-575. 28. G. Hartnett and A. N. Luiten, "Colloquium: Comparison of astrophysical and terrestrial frequency standards," Reviews of Modern Physics, vol. 83, pp. 1-9, Jan. 2011. 29.http://www.ncra.tifr.res.in/ncra/gmrt/gmrt- users/low-frequency-radio-astronomy/ch17.pdf 30.http://www.nasa.gov/images/content/415468main_ga lactic_gps_msps_HI.jpg 31. He Yin (et al), “Pulsar Based Alternative Timing Source for Grid Synchronization and Operation”, IEEE Access, Vol 8, August 2020.