• No results found

Results of the Telescope Array experiment

N/A
N/A
Protected

Academic year: 2021

Share "Results of the Telescope Array experiment"

Copied!
73
0
0
Show more ( Page)

Full text

(1)

Results of the Telescope Array experiment

Grigory I. Rubtsov

Institute for Nuclear Research of the RAS

ULB Physique Th´eorique seminar

(2)

Outline

I

Telescope Array experiment

I

TA physics results on UHECRs

I spectrum

I chemical composition

I search for sources

I search for photons

(3)
(4)

Telescope Array Collaboration

T Abu-Zayyad1, R Aida2, M Allen1, R Azuma3, E Barcikowski1, JW Belz1, T Benno4, DR Bergman1,

SA Blake1, O Brusova1, R Cady1, BG Cheon6, J Chiba7, M Chikawa4, EJ Cho6, LS Cho8, WR Cho8, F Cohen9,

K Doura4, C Ebeling1, H Fujii10, T Fujii11, T Fukuda3, M Fukushima9,22, D Gorbunov12, W Hanlon1,

K Hayashi3, Y Hayashi11, N Hayashida9, K Hibino13, K Hiyama9, K Honda2, G Hughes5, T Iguchi3,

D Ikeda9, K Ikuta2, SJJ Innemee5, N Inoue14, T Ishii2, R Ishimori3, D Ivanov5, S Iwamoto2, CCH Jui1,

K Kadota15, F Kakimoto3, O Kalashev12, T Kanbe2, H Kang16, K Kasahara17, H Kawai18, S Kawakami11,

S Kawana14, E Kido9, BG Kim19, HB Kim6, JH Kim6, JH Kim20, A Kitsugi9, K Kobayashi7, H Koers21,

Y Kondo9, V Kuzmin12, YJ Kwon8, JH Lim16, SI Lim19, S Machida3, K Martens22, J Martineau1, T Matsuda10,

T Matsuyama11, JN Matthews1, M Minamino11, K Miyata7, H Miyauchi11, Y Murano3, T Nakamura23,

SW Nam19, T Nonaka9, S Ogio11, M Ohnishi9, H Ohoka9, T Okuda11, A Oshima11, S Ozawa17, IH Park19,

D Rodriguez1, SY Roh20, G Rubtsov12, D Ryu20, H Sagawa9, N Sakurai9, LM Scott5, PD Shah1, T Shibata9,

H Shimodaira9, BK Shin6, JD Smith1, P Sokolsky1, TJ Sonley1, RW Springer1, BT Stokes5, SR Stratton5,

S Suzuki10, Y Takahashi9, M Takeda9, A Taketa9, M Takita9, Y Tameda3, H Tanaka11, K Tanaka24,

M Tanaka10, JR Thomas1, SB Thomas1, GB Thomson1, P Tinyakov12,21, I Tkachev12, H Tokuno9, T Tomida2,

R Torii9, S Troitsky12, Y Tsunesada3, Y Tsuyuguchi2, Y Uchihori25, S Udo13, H Ukai2, B Van Klaveren1,

Y Wada14, M Wood1, T Yamakawa9, Y Yamakawa9, H Yamaoka10, J Yang19, S Yoshida18, H Yoshii26, Z Zundel1

1University of Utah, 2University of Yamanashi, 3Tokyo Institute of Technology, 4Kinki University,

5Rutgers University, 6Hanyang University, 7Tokyo University of Science, 8Yonsei University,

9Institute for Cosmic Ray Research, University of Tokyo, 10Institute of Particle and Nuclear Studies, KEK,

11Osaka City University, 12Institute for Nuclear Research of the Russian Academy of Sciences,

13Kanagawa University, 14Saitama University, 15Tokyo City University, 16Pusan National University,

17Waseda University, 18Chiba University 19Ewha Womans University, 20Chungnam National University,

21University Libre de Bruxelles, 22University of Tokyo, 23Kochi University, 24Hiroshima City University,

(5)

Telescope Array observatory

I 507 SD’s, S = 3m2

I 3 FD’s

(6)
(7)

TA surface detector

solarpanel (120w) wLAN (2.4GHz) electronics box (100Ah) battery + box scintillator GPS < Surface Detector > • 3m2 (12mm × 2 layers) • PMTs: ET 9123SA × 2 (2cm separation) • WLSF: 1.0mmφ ∼200kg

(8)

M. Takeda, JPS meeting, March 2010 < SD Observation Status > 15947.3 hrs 94.2 % 16160.7 hrs 95.7 % 16484.0 hrs 97.5 % MJD Observation Time [hr] Observation Time [hr] Observation Time [hr]

Mar’08 Nov’08 Nov’09Feb’10

Black Rock Mesa

Long Ridge Smelter Knoll 54600 54800 55000 55200 0 10 20 0 10 20 0 10 20 • operation in stable ∼ > 95% ∼ > 16k hours • wLAN interference in early stage • thunder storms in summer • maintenance access in autumn

• low temperature & snow in winter

(9)

SD event example

M. Takeda, JPS meeting, March 2010

< SD Event Example > 2.0 0.2 1.7 22.9 74.6 2.2 1.5 26.3 117.8 2.2 2.4 3.6 1.9 0.3 0.8 0.5 RUN(50141) EVENT(2182) DATE(080531) TIME(050737) Log(E[eV])=19.698η = 3.542 Zenith=36.246[deg] Azimuth= 27.854[deg] Core(9) ChiD(0.09) ChiCS(1.39)

1318 X [m] Y [m] 1401 1404 1608 1611 1612 1613 1707 1710 1711 1712 1713 1803 1805 1810 1811 0 5000 10000 −10000 −5000 0 0 10000 20000 30000 1 10 102 103 104 Core Distance [m] Td [nsec] 108 106 104 102 100 Density [m ] −2 1812 1813 1911 1912 1913 1914 2012 2014 2213 2313

Relative Timimg [nsec]

102 103 104 105 106 107 108 109 1010 1011 1012 1013 1014 1015 1016 1017 1018 1019 1020 1021 1022 1023 1024 1025 1026 1027 #FADC (raw) 102 103 104 100 10 10 10 4 2 6 Core Distance [m]

(10)
(11)

< FD Observation Status > Nov’07 Feb’10 May’09 2506.2 hrs 12.4 % 2180.4 hrs 10.8 % Observation Time [hr] MJD

Observation Time [hr] Long Ridge

Black Rock Mesa

0 5 10 54400 54600 54800 55000 55200 0 5 10

• Full operation since Nov ’07

• Long Ridge remote operation since May ’09

• ∼> 2.5k hrs

• ∼> 2.1k hrs

(12)

FD event example

M. Takeda, JPS meeting, March 2010

(13)
(14)

< Atmospheric Monitor (LIDAR, CLF) & LINAC > LINAC CLF 100m 20.85km LIDAR 109e (6.4mJ) 40MeV @355nm @355nm 4mJ 5mJ 【back-scat.】 【side-scat.】 【electron shower】

(15)

TA-LINAC: Linear Accelerator @ TA

I Electron accelerator 100 m from TA FD I Rate 0.5 Hz I Energy∼ 40 MeV I Current 10− 250pC/pulse

T.Shibata, UHECR-2010, Nagoya Fist run: September 2010

(16)
(17)

Telescope Array physics objectives

Study of UHECR E& 1018 eV

I Spectrum

I Chemical composition

I Search for sources

I Search for photons and neutrino

I Hadronic interactions properties

(18)

TA physics results

I I. UHECR spectrum

I II. Chemical composition by XMAX stereo

I III. Search for cosmic ray sources

(19)
(20)
(21)

GZK effect

Greisen, 1966; Zatsepin, Kuzmin, 1966

Cut-off predicted for E& 1019.7eV. p + γ2.7K→ n + π+

→ p + π0

AGASA spectrum, 2003

Takeda, M. et al., Astropart. Phys 19(2003)

I Expected 1.9 event I Observed 11 events

(22)

Cut-off observation by HiRES

Monocular: Quarks’06; PRL 100 (2008) Stereo: Astropart. Phys. 32 (2010)

(23)

Pierre Auger spectrum

(24)

Telescope Array spectrum

TA measures spectrum by three techniques:

I Middle Drum fluorescence detector (FD) mono

I Surface detector (SD)

(25)

Monocular spectrum from Middle Drum (MD) detector

I MD uses 14 refurbish HiRes-1 telescopes.

I TAMD mono processing is identical to HiRes-1 monocular data analysis

I same program set

I same “average” atmospheric model

I same event selection, cuts

I Differences:

I telescope location and pointing directions

I Thresholds (∼ 20% lower than HiRes-1)

I Exposure is calculated with Monte-Carlo

(26)

Jui, ICRC 2009

10

MD Spectrum

(27)

Surface detector spectrum

Dataset:

I Geometrical cuts:

I θ < 45◦

I core inside the array, distance to border > 1200 m

I Cuts on reconstruction quality:

I number of detectors hit >= 4

I χ2/d.o.f < 4.0

I pointing direction resolution < 5◦

I fractional S800 uncertainty < 0.25

I 1.75 years, 6264 events after cuts

(28)

Energy scale normalization

I SD energy: CORSIKA QGSJET-II full MC

I FD energy: MD mono, BRM, LR hybrid

I Result: E = ESD/1.27

(29)

TA surface detector spectrum

(30)

GZK cut-off statistical significance

(31)

Surface detector, MD mono and hybrid spectra

Note: SD energy normalized by 27%

(32)

Comparison with AGASA, HiRes, Auger

(33)

Spectrum summary

I Cut-off is observed by HiRES and confirmed by Pierre Auger and Telescope Array experiments

I GZK process in not questioned, but it’s contribution to cut-off is unknown due to unknown spectrum and composition at the sources

I One may probe E > 1020 eV physics by looking at GZK secondaries: photons and neutrinos

(34)
(35)

Auger/HiRES XMAX results

Auger Phys.Rev.Lett.104.091101 E [eV] 18 10 19 10 ] 2 > [g/cm max <X 650 700 750 800 850 proton iron QGSJET01 QGSJETII Sibyll2.1 EPOSv1.99 E [eV] 18 10 19 10 ] 2 ) [g/cm max RMS(X 0 10 20 30 40 50 60 70 proton iron HiRES Phys.Rev.Lett.104.161101

(36)

Yakutsk array result on chemical composition

0.5 1 1.5 2 ΡΜ obs ΡΜ sim, p 0 2 4 6 8 Number of events EPOS p 0.5 1 1.5 ΡΜ obs ΡΜ sim, Fe 0 2 4 6 8 Number of events EPOS Fe 0.29≤ Fe≤ 0.68 (95%CL), E > 1019 eV Glushkov et al, JETP Letters 87:190-194,2008

(37)

Possible interpretation of Auger result

’The disappointing model’

10 17 10 18 10 19 10 20 10 23 10 24 E m ax =4 EeV g =2.3, d=40 Mpc E 3 J( E ) , e V 2 m -2 se c -1 st e r -1 E, eV Auger 09 r e ct i lin e a r K o lm . d if fu si o n protons 10 17 10 18 10 19 10 20 10 23 10 24 E m ax =4 EeV g =2.3, d=40 Mpc E 3 J( E ) , e V 2 m -2 se c -1 st e r -1 E, eV Auger 09 r e ct i lin e a r K o lm . d if fu si o n nuclei protons

R. Aloisio, V. Berezinsky, A. Gazizov arXiv:0907.5194v1

I No GZK-photons, no GZK-neutrino

(38)

Another interpretation of Auger result

R. Engel, 31th ICRC, arXiv:0906.0418v1

0.2 0.3 0.4 1 2 3 4 5 6 ] −2 [gcm max Mean X 720 740 760 780 800 820 840 860 880 900 920 cross section multiplicity elasticity 19 f 0.2 0.3 0.4 1 2 3 4 5 6 ] −2 [gcm max RMS X 30 40 50 60 70 80 90 100 110 Auger, Phys.Rev.Lett.104.091101

(39)

Auger/HiRES XMAX results

Auger: I Southern hemisphere I Heavy nuclei or cross-section growth HiRES: I Northern hemisphere I Protons dominate

?

(40)

Telescope Array stereo result

TA data favorprotons

data collection is in progress

(41)

TA XMAX distributions

(42)

TA XMAX distributions

(43)
(44)
(45)

Auger claim discussion

I HiRES doesn’t see correlations with AGN (2 of 13, bg: 3) Astropart.Phys.30,2008

I Comment by Gorbunov,Tinyakov,Tkachev,Troitsky

JETP Lett.87,2008

I Events do not follow prediction of AGN hypothesis. E.g.

nothing comes from Virgo, while it contains significant fraction of nearby AGNs

I Cen A may be a single source with correlation angle

about 20◦

I AGN correlation requires proton primaries; contradicts with Auger composition results due to large deflection of nuclei in Galactic magnetic field

(46)

Pierre Auger claim discussion: Cen A

20 40 60 80 100

distance from Cen A, deg

-5 -4 -3 -2 -1 0 Log 10 P

The Monte-Carlo probability P to have the observed number of events in a circle of a given radius around Cen A on the celestial sphere, out of the 27 events of the Auger sample. Gorbunov,Tinyakov,Tkachev,Troitsky, arXiv:0804.1088

(47)

Auger AGN correlation update

Pierre Auger collaboration, Astropart. Phys. 34 (2010) Before publication date: 9/13 correlate. Background: 2.7± 1.6 After publication date: 12/42 correlate. Background: 8.9± 3.0

(48)

Auger Centaurus A update

Pierre Auger collaboration, Astropart. Phys. 34 (2010)

I Cen A may be a source

(49)

TA result on AGN correlation

(50)

TA result on AGN correlation

correlate: 6 of 15, bg: 3.6

(51)

TA Autocorrelation analysis

(52)

TA Autocorrelation analysis

(53)

TA correlations with LSS

(54)

TA correlations with LSS

(55)

TA LSS: result of the statistical tests

(56)

TA LSS: result of the statistical tests

(57)

Sources summary

I Correlations with AGN: 6/15 correlate; compatible with background;

I No significant clustering at E > 10 EeV and E > 40 EeV;

I Data with E > 40 EeV are compatible both with structure and isotropy;

I Data with E > 57 EeV are compatible with structure and incompatible with isotropy at 95% CL;

(58)
(59)

Photon search techniques

Photon-sensitive parameter:

AGASA, Yakutsk muon density (strongest discrimination)

Pierre Auger SD shower front curvature and thinkness

Pierre Auger hybrid XMAX

(60)

Shower front curvature

deep shower maximum = curved front

I We use Linsley’s shower front curvature parameter “a” as a composition sensitive parameter

(61)

TA SD photon search

Dataset:

I Data collected by SD from 2008-05-11 to 2009-10-08 I Geometrical exposure for θ∈ [θ1, θ2]:

Ageom= 2346× (sin2θ2− sin2θ1) km2 sr yr

Cuts for photon search:

I Number of detectors triggered is 7 or more

I Shower core distance to array boundary is larger than 1 separation unit (1200 m)

(62)

Front curvature example

8.5 8.6 8.7 8.8 8.9 9 9.1 9.2 9.3 9.4 9.5 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 front delay [1200m]; core distance [1200m] Fit data Average photon

(63)

Linsley curvature “a”: data vs photon MC

0◦− 30h_gm Entries 3758 Mean 0.8287 RMS 0.2954 Underflow 0.1609 Overflow 0.3217 a 0 0.20.40.6 0.8 1 1.21.4 1.61.8 2 0 20 40 60 80 100 120 140 h_gm Entries 3758 Mean 0.8287 RMS 0.2954 Underflow 0.1609 Overflow 0.3217 h_dt Entries 604 Mean 0.5789 RMS 0.2067 Underflow 0 Overflow 0 h_dt Entries 604 Mean 0.5789 RMS 0.2067 Underflow 0 Overflow 0 45◦− 60h_gm Entries 3761 Mean 0.738 RMS 0.2737 Underflow 0 Overflow 1.881 a 0 0.20.40.6 0.8 1 1.21.4 1.61.8 2 0 20 40 60 80 100 120 140 h_gm Entries 3761 Mean 0.738 RMS 0.2737 Underflow 0 Overflow 1.881 h_dt Entries 335 Mean 0.3463 RMS 0.1108 Underflow 0 Overflow 0 h_dt Entries 335 Mean 0.3463 RMS 0.1108 Underflow 0 Overflow 0 30◦− 45h_gm Entries 8804 Mean 0.7766 RMS 0.2726 Underflow 0.1037 Overflow 0.3111 a 0 0.20.40.60.8 1 1.21.41.61.8 2 0 20 40 60 80 100 120 140 h_gm Entries 8804 Mean 0.7766 RMS 0.2726 Underflow 0.1037 Overflow 0.3111 h_dt Entries 456 Mean 0.4881 RMS 0.1685 Underflow 0 Overflow 0 h_dt Entries 456 Mean 0.4881 RMS 0.1685 Underflow 0 Overflow 0 Eγ > 1019 eV data photon MC, E−2 spectrum

(64)

Event-by-event method

I For each event with curvature aobs we select photon MC events compatible by arrival direction and S800.

I We calculate curvature distribution function fγ(a) for MC photons I Let’s define C = aobs Z −∞ fγ(a)da I C is defined event-by-event

I For gamma events,C is uniformly distributed between 0 and 1 (independently of the photon primary spectrum).

(65)

C: data vs photon MC

0◦− 30h_gm Entries 3758 Mean 0.5024 RMS 0.2819 Underflow 0 Overflow 0.1608 C 0 0.10.20.3 0.40.5 0.60.7 0.80.9 1 0 20 40 60 80 100 120 140 160 180 h_gm Entries 3758 Mean 0.5024 RMS 0.2819 Underflow 0 Overflow 0.1608 h_dt Entries 604 Mean 0.1847 RMS 0.1848 Underflow 0 Overflow 0 h_dt Entries 604 Mean 0.1847 RMS 0.1848 Underflow 0 Overflow 0 45◦− 60h_gm Entries 3761 Mean 0.5051 RMS 0.2843 Underflow 0 Overflow 0.0891 C 0 0.10.20.3 0.40.5 0.60.7 0.80.9 1 0 20 40 60 80 100 120 140 160 180 h_gm Entries 3761 Mean 0.5051 RMS 0.2843 Underflow 0 Overflow 0.0891 h_dt Entries 335 Mean 0.08868 RMS 0.09145 Underflow 0 Overflow 0 h_dt Entries 335 Mean 0.08868 RMS 0.09145 Underflow 0 Overflow 0 30◦− 45h_gm Entries 8804 Mean 0.5009 RMS 0.2806 Underflow 0 Overflow 0 C 0 0.10.20.30.40.50.60.70.80.9 1 0 20 40 60 80 100 120 140 160 180 200 h_gm Entries 8804 Mean 0.5009 RMS 0.2806 Underflow 0 Overflow 0 h_dt Entries 456 Mean 0.1196 RMS 0.1306 Underflow 0 Overflow 0 h_dt Entries 456 Mean 0.1196 RMS 0.1306 Underflow 0 Overflow 0 Eγ > 1019 eV data photon MC, E−2 spectrum

(66)

Calculations

Search region:

I Egamma > 1019 eV 1395 events

I 45◦ < θ < 60◦ 335 events

I C > 0.5 1 event

I Poisson 95% upper limit: ≤ 5.14 events

I Total exposure: Atotal= 158 km2 sr yr

I Fγ< 3.3· 10−2 km−2sr−1yr−1 (95% CL)

(67)

Photon flux limits

18 18.5 19 19.5 20 Log EmineV 35.5 36 36.5 37 37.5 38 Log H E 2 F Γ H eV 2 km -2 yr -1 sr -1 LL A A PA PA PA Y Y Y TA TA ICRC

PRELIMINARY

(68)

Photon fraction and flux limits

Fraction limits 18 18.5 19 19.5 20 Log EmineV 0.1 1 10 100 ΕΓ ,% 0.1 1 10 100 A A A PAO-SD PAO-SD PAO-SD HP HP AY Y Y AH PAO-H PAO-H PAO-H PAO-H Y Y Y Flux limits 18 18.5 19 19.5 20 Log EmineV 35.5 36 36.5 37 37.5 38 Log H E 2F Γ H eV 2km -2yr -1sr -1LL A A PA PA PA Y Y Y TA TA ICRC PRELIMINARY I GZK prediction: γ< 1% for E > 1019 eV Gelmini,Kalashev,Semikoz, JCAP 0711 (2007)

I Photons may be detected in the near future (depends on astrophysics parameters)

(69)

Constraints on parameters of Superheavy dark matter

21.5 22 22.5 23 Log10HMXeVL -17. -16.5 -16. Log 10 H FSH  m -2 sr -1 s -1 L 21.5 22 22.5 23 Log10HMXeVL -17. -16.5 -16. Log 10 H FSH  m -2 sr -1 s -1 L

FSH – flux of SHDM-produced cosmic rays E > 1020 eV above thick line – excluded by spectral fits

shaded area – allowed by spectrum and γ limits

⇒SHDM decay may not be the source of all UHECRs

(70)

Lorentz invariance violation tests 1/2

I LIV is proposed by Coleman & Glashow to suppress GZK

process Phys.Rev.D59,1999

I If LI is broken, threshold of GZK reaction may be upshifted p + γ2.7K→ ∆(1232)

I If we can prove that GZK reaction takes place, we have a constraint on LIV parameters

I One approach to confirm GZK reaction is to observe secondary photons

(71)

Lorentz invariance violation tests 2/2

I If LI is broken for photons in form

ω2= k2+ ξnk2(k/MPl)n

pair production on CMB

γ + γCMB→ e++ e−

may be suppressed by kinematics and photons will propagate through large distances.

I Observed photon flux will contradict existing photon limits if 1| & 10−14or ξ2 .−10−6.

Galaverni, Sigl, Phys.Rev.Lett.100, 2008

(72)

Conclusions

I TA is a large scale detector operating in the northern hemisphere

I Results on spectrum, composition and anisotropy are presented

I UHECR sources are not yet discovered

I Good chance to detect GZK photons in the midrange

future (3 - 5 years)

(73)

References

Related documents

Specifically, the recent Community-Acquired Pneumonia Immunization Trial in Adults (CAPITA) showed the efficacy of pneumococcal conjugate vaccine in older adults, many of whom

Das bedeutet, dass es neben der Kolonisation der Patientinnen, der Virulenz des Erregers, es auch einer lokalen oder allgemeinen Disposition bedarf, damit eine Infektion und

In the present work, the production ratio of secondary nucleus from negative muon capture reaction on typical FPs are calculated using PHITS.. The controllability of the position

Government ownership reduces the ability of the firm to generate revenue,!. controlling also for the effect of

• It is a Central Sector Scheme of the Ministry of Youth Affairs &amp; Sports and has been continuing since the 12th Five Year Plan. • The Scheme aims to develop

Specificity of the Prototype Carbon Fund. A pioneer in the market for project-based Greenhouse Gas emission reductions. a) Creation of the Prototype Carbon Fund. The PCF is a

This sentence- aligned corpus consists of transcriptions of Cantonese spoken in television programs in Hong Kong, and their corresponding Chinese (Mandarin)

The letters at the top stand for the four bases found in nucleotides of a DNA molecule, and correspond to the places where the strand was cut by restrictive enzymes (fragments

One type conceives of dispersion of authority to multi-task, territorially mutually exclusive jurisdictions in a relatively stable system with limited jurisdictional levels and a

Treatment with DTT showed no significant increase in activity compared to the oxidized sample (P &gt; 0.5 by one-way ANOVA and Tukey’s multiple comparison post-test), while all

As this software helps in managing Student Administration, Fee Management, Classes, Subject, Enquiry Management, Attendance, Examination, Results, Library, Canteen

Within the neural net model, subjects at high risk of adverse outcomes were identified and labeled as “enriched.” Following propensity score adjustment, enriched subjects

After providing historical background on Gilman's biographical and literary relationship to urban environmental reform movements, I will analyze representations of the built

1893 load case-1 applied) once configuration of shear wall body connected to structure each soft story and drift. exit thanks to resistive layer of shear wall body connected

ABSTRACT : This article presents the design and analysis of two degree of freedom (2DOF) controller withintegral plus double derivative (2DOF-IDD) and with proportion plus

The hold register contains the data that are to be transmitted next while the shift register contains the data that are to be transmitted in the serial manner.. UART receiver has

The working group has examined the energy spectra and techniques of the currently operating experiments, the Pierre Auger Observatory, the Telescope Array, and Yakutsk, with

In conclusions, the results of our meta-analysis indicated that there was no significant association between IL-6 Figure 6 Forest plot of the association between IL-6 rs1800796

Patients with acute or complex illness received enhanced home-based care from a multidisciplinary team including their own family physicians in a novel care

Therefore, in the present study, an attempt is made to investigate the situation in which the experimenters want to study phenotypic value of the genotype in a

my present study is to predict the effects of noise pollution on human work efficiency as a function of noise level, type of task, and exposure time.. Among these, only

The simulated results for nonlinear load current, with PI controller and its shunt compensation current introduced by VSC2compensation Feeder1 current, and finally the

and information from those of network hyperlink structure, data used and page