Distributed Dynamic State Estimator: Extension to Distribution Feeders

Size: px
Start display at page:

Download "Distributed Dynamic State Estimator: Extension to Distribution Feeders"

Transcription

1 Disribued Dynamic Sae Esimaor: Exension o Disribuion Feeders Sakis Meliopoulos Georgia Power Disinguished Professor School of Elecrical and Compuer Engineering Georgia Insiue of Technology Alana, Georgia IEEE-PES General Meeing Vancouver, BC, Canada July 21-25, 2013 Clinon Hedringon USVI Waer & Power Auhoriy Power Sysem Auomaion Laboraory Page 1

2 Ouline DS-SE Challenges Basic Background Technology: Disribued Sae Esimaion Disribuion Sysem Sae Esimaion Implemenaion Sae Esimaion of generaion resources along disribuion circuis Conclusions Power Sysem Auomaion Laboraory Page 2

3 DS-SE Challenges Power Sysem Auomaion Laboraory Page 3

4 Special Issues and Challenges Available Measuremens in Disribuion Feeders Subsaion Daa Recloser Daa Capacior Conrol Daa Smar Meer daa secondary) Cusomer Owned Disribued Resources wih Meering Oher Sae Esimaion is Exended o Cusomer Sysems Typically no Enough for Full Observabiliy Feeder Secions May Be no Observable Implemenaion Approaches Become Imporan Muliphase Modeling is a Necessiy Many More Power Devices han Transmission Sysems Power Sysem Auomaion Laboraory Page 4

5 DMS Design For Auonomy Plug and Play Power Sysem Auomaion Laboraory Page 5

6 Background: USVI-WAPA Insallaion of he Disribued Dynamic Sae Esimaor on he USVI WAPA sysem. Demonsraion and Field Experience wih he operaion of he Disribued Sae Esimaor on he USVI-WAPA Demonsraion: Augus 1-2, 2012 Exension o Disribuion Sysem Compelling Reasons Power Sysem Auomaion Laboraory Page 6

7 Disribued Dynamic Sae Esimaion Sae of Technology: provides a high fideliy real ime model of he sysem a speeds of 60 imes per second. Demonsraion projecs a several uiliies have been implemened for field evaluaion How: disribued dynamic sae esimaion using a) synchrophasor echnology, b) numerical relays, and c) physically based models Power Sysem Auomaion Laboraory Page 7

8 The SuperC Concep Disribued SE) The SuperC is concepually very simple: Uilize all available daa Relays, DFRs, PMUs, Meers, ec.) Uilize a deailed subsaion model hree-phase, breakeroriened model, insrumenaion channel inclusive and daa acquisiion model inclusive). Use Derived and Virual Measuremens by Applicaion of Physical Laws A leas one GPS synchronized device PMU, Relay wih PMU, ec.) Resuls on UTC ime enabling a ruly decenralized Sae Esimaor Power Sysem Auomaion Laboraory Page 8

9 Disribued Dynamic Sae Esimaion Implemenaion Measuremen Layer Phase Conducor v) Poenial Transformer Insrumenaion Cables v 1 ) i) Curren Transformer i 1 ) v 2 ) i 2 ) Aenuaor Burden Aenuaor Burden IED Vendor D Relay Vendor C PMU Vendor A Ani-Aliasing Filers PMU Vendor C LAN LAN Daa Processing Super- Calibraor Encoding/Decoding Crypography Physical Arrangemen FireWall Daa Flow Daa/Measuremens from all PMUs, Relays, IEDs, Meers, FDRs, ec are colleced via a Local Area Nework in a daa concenraor. The daa is used in a dynamic sae esimaor which provides he validaed and high fideliy dynamic model of he sysem. Bad daa deecion and rejecion is achieved because of high level of redundan measuremens a his level. Power Sysem Auomaion Laboraory Page 9

10 Disribued Dynamic Sae Esimaion Implemenaion The Esimaor is Defined in Terms of: Model Sae Measuremen Se Esimaion Mehod δ dω g 1 g1, ωg1, d y g1 Subsaion of Ineres DSE Applicaion) V, δ V, δ Transmission Line 1 V, δ Observabiliy Redundancy δ d g 2 g 2, ωg 2, ω d y g 2 V, δ Transmission Line 2 V, δ Sysem is Represened wih a Se of Differenial Equaions DE) The Dynamic Sae Esimaor Fis he Sreaming Daa o he Dynamic Model DE) of he Sysem Power Sysem Auomaion Laboraory Page 10

11 Performance Evoluion: Disribued Sae Esimaion Execuion Time Monior CPU Time Usage Indicaes in Real Time he Porion of he Time Used by he SE Calculaions. 100%=Time Beween Two Successive SE Compuaions. example: if SE is se o execue 60 imes per second, hen 100%=16.6 ms Power Sysem Auomaion Laboraory Page 11

12 Disribued Sae Esimaion Synhesis of Sysem Wide Sae a he Conrol Cener Sae Esimaor: Exracs Informaion from Daa Minimum Daa Traffic No Informaion Loss Power Sysem Auomaion Laboraory Page 12

13 Summary Disribued Sae Esimaion Enables Sae Esimaion a Each Cycle Sixy Times per Second). The Approach Requires a Deailed Three Phase Subsaion Model and a Leas One PMU Device. Four Demonsraion Projecs Have Provided and Will Provide Tremendous Experience. The Approach Has Enabled a New Disurbance Play Back Which Has Proven o be Very Useful. Power Sysem Auomaion Laboraory Page 13

14 Objec Oriened DS-SE Use Exising Measuremens Supplemen wih Virual Derived Pseudo-measuremens Apply o a DS Secion wih A Leas one GPS Sync Meas Formulaion Power Sysem Auomaion Laboraory Page 14

15 Power Sysem Auomaion Laboraory Page 15 Objec Oriened DS-SE Across Volage) Measuremen: Objec Oriened Model [ ] C h i I B h i Y h i V A B where B Y V Y V F Y V Y V Y V Y V Y I I i i i i eq eq m m eq m T m T T T m m eq m + + = + = 0 ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ ) ~ 0 ) ~ 0 ) ~ j j j x z η + = ) ~ ) ~ Through Curren, Torque, ec.) Measuremen: Measuremen represens a qualiy associaed wih one row of he Objec oriened model ) z j j Objec Oriened Model row k of ) ~ η + = z j Row k QSE saes are Phasors, Speed, ec

16 Disribued Sae Esimaion Virual Measuremens - Examples ~ ~ ~ 0 = I + I + I Any Equaion of a Model Used in he Sae Esimaion Example: The Equaion for he Transformer Inernal Volage Virual Measuremen z m σ m = 0 value = 0 sandard deviaion Power Sysem Auomaion Laboraory Page 16

17 Disribued Sae Esimaion Derived and Pseudo-Measuremens - Examples Power Sysem Auomaion Laboraory Page 17

18 Disribued Sae Esimaion Pseudo-Measuremens - Examples In a Feeder, here may be secions wihou insrumenaion Pseudo-Measur. Can Provide he Link Towards Full Observabiliy An example is shown Power Sysem Auomaion Laboraory Page 18

19 Disribued SE Measuremen Se Non-Synchronized Measuremens Non-GPS Synchronized Relays provide phasors referenced on phase A Volage. The phase A Volage phase is ZERO. The SuperC provides a reliable and accurae esimae of he phase A volage phasor. ~ A sync = ~ A meas e jα α is a synchronizing unknown variable j A cosα sinα + cosα) and sinα) are unknown variables in he sae esimaion algorihm There is one α variable for each non-synchronized relay ~ A A sync real = real ~ A meas e jα A imag A = imag sinα + cosα) Power Sysem Auomaion Laboraory Page 19

20 DS-SE: Algorihm Min J = ν phasor ~*~ η η ν ν 2 ν σ + ν non syn η ν ν 2 ν σ η Soluion x = x ν + 1 ν + [ h x) ] A z where: A = [ T ] 1 H WH [ T H W ] Efficiency Demonsraed he abiliy o execue he sae esimaor 60 imes per second for subsanial size subsaions. There is sill space for improved compuaional efficiency. Power Sysem Auomaion Laboraory Page 20

21 Demonsraion: USVI-WAPA The USVI-WAPA Sysem Expansion Plans Power Sysem Auomaion Laboraory Page 21

22 The USVI-WAPA Sysem Presen Projec: Exension o Feeders and PV Farms Power Sysem Auomaion Laboraory Page 22

23 Demonsraion Projecs Applicaion o PV Farms 1.16 MW Array) Power Sysem Auomaion Laboraory Page 23

24 Wha is Monioring via Sae Esimaion? Implemenaion Sysem is Represened wih a Se of Differenial Equaions DE) in erms of he sysem sae SYSTEM STATE: Volages a each node of he sysem see example sysem) The Sae Esimaor Fis he Sreaming Daa o he Model of he Sysem via a leas square approach. END RESULT: Bes esimae of sysem sae, i.e. volages a each node The Esimaor is Defined in Terms of: Model Sae Measuremen Se Esimaion Mehod Observabiliy Redundancy Power Sysem Auomaion Laboraory Page 24

25 1.16 MW PV Array 4224 Panels W) 2 Solarex Inverers 500kW each) 10 Combiners per Inverer 25 Power Sysem Auomaion Laboraory Page 25

26 Field Demonsraion 1.16 PV Array 26 Power Sysem Auomaion Laboraory Page 26

27 Model Overview 27 Power Sysem Auomaion Laboraory Page 27

28 Buckman PV Array WinIGS Model 28 Power Sysem Auomaion Laboraory Page 28

29 Buckman PV Array WinIGS Model 29 Power Sysem Auomaion Laboraory Page 29

30 Buckman PV Array WinIGS Model PV Module Model: PV Srings, PV Sring model, Converer Model Phoovolaic Array Model Inverer Model 30 Power Sysem Auomaion Laboraory Page 30

31 Field Daa 9:00 9:30 am 30 Samples / Sec) V BUCKMAN_AGC_Phasor Vol CH-A_Magniude V) V Deg BUCKMAN_AGC_Phasor Vol CH-A_Angle Deg) Deg A BUCKMAN_AGC_Phasor Cur CH-A_Magniude A) A Deg BUCKMAN_AGC_Phasor Cur CH-A_Angle Deg) Deg V BUCKMAN_AGC_V_PVGRP1DC_PO_Magniude V) V A BUCKMAN_AGC_C_PVGRP1AC_PVGRP_Magniude A) A February 24, :59: February 24, :29: Power Sysem Auomaion Laboraory Page 31

32 Field Daa 9:30 10:00 am 30 Samples / Sec) V BUCKMAN_AGC_Phasor Vol CH-A_Magniude V) V Deg BUCKMAN_AGC_Phasor Vol CH-A_Angle Deg) Deg A BUCKMAN_AGC_Phasor Cur CH-A_Magniude A) A Deg BUCKMAN_AGC_Phasor Cur CH-A_Angle Deg) Deg V BUCKMAN_AGC_V_PVGRP1DC_PO_Magniude V) V A BUCKMAN_AGC_C_PVGRP1AC_PVGRP_Magniude A) A February 24, :29: February 24, :59: Power Sysem Auomaion Laboraory Page 32

33 Field Daa 10:30 11:00 am 30 Samples / Sec) V BUCKMAN_AGC_Phasor Vol CH-A_Magniude V) V Deg BUCKMAN_AGC_Phasor Vol CH-A_Angle Deg) Deg A BUCKMAN_AGC_Phasor Cur CH-A_Magniude A) A Deg BUCKMAN_AGC_Phasor Cur CH-A_Angle Deg) Deg V BUCKMAN_AGC_V_PVGRP1DC_PO_Magniude V) V A BUCKMAN_AGC_C_PVGRP1AC_PVGRP_Magniude A) A February 24, :29: February 24, :59: Power Sysem Auomaion Laboraory Page 33

34 Field Daa 11:00 11:30 am 30 Samples / Sec) V BUCKMAN_AGC_Phasor Vol CH-A_Magniude V) V Deg BUCKMAN_AGC_Phasor Vol CH-A_Angle Deg) Deg A BUCKMAN_AGC_Phasor Cur CH-A_Magniude A) A Deg BUCKMAN_AGC_Phasor Cur CH-A_Angle Deg) Deg V BUCKMAN_AGC_V_PVGRP1DC_PO_Magniude V) V A BUCKMAN_AGC_C_PVGRP1AC_PVGRP_Magniude A) A February 24, :59: February 24, :29: Power Sysem Auomaion Laboraory Page 34

35 Synchrophasor Field Daa Snapsho 35 Power Sysem Auomaion Laboraory Page 35

36 Conclusions: Technology Capabiliies An Objec Oriened Implemenaion of a Disribuion Sysem Sae Esimaion Enables Full Observabiliy of he Disribuion Sysem and Cusomer Owned Resources. Sae Esimaion enables: a) validaion of daa, and b) exen he observabiliy of he disribuion sysem beyond he exising insrumenaion. The DS-SE enables many applicaions: Uiliy Opimize volage along feeder by cap conrol disribued resource conrol, ec. Cusomer/Third Pary Resources Example: PV Model Validaion Idenify Panel Deerioraion, Fauly Panels, ec. Deermine roo cause of disurbances 36 Power Sysem Auomaion Laboraory Page 36

A PREDICTIVE OUT-OF-STEP PROTECTION SCHEME BASED ON PMU ENABLED DISTRIBUTED DYNAMIC STATE ESTIMATION

A PREDICTIVE OUT-OF-STEP PROTECTION SCHEME BASED ON PMU ENABLED DISTRIBUTED DYNAMIC STATE ESTIMATION A PREDICTIE OUT-OF-STEP PROTECTION SCHEME BASED ON PMU ENABLED DISTRIBUTED DYNAMIC STATE ESTIMATION A Disseraion Presened o The Academic Faculy by Evangelos Faranaos In Parial Fulfillmen of he Requiremens

More information

Power System State Estimation: Modeling Error Effects and Impact on System Operation

Power System State Estimation: Modeling Error Effects and Impact on System Operation Power Sysem Sae Esimaion: Modeling Error Effecs and Impac on Sysem Operaion A. P. Sakis Meliopoulos, Fellow School of Elecrical and Compuer Engineering Georgia Insiue of echnology Alana, GA 3033-050 Bruce

More information

SEAMLESS DESIGN OF ENERGY MANAGEMENT SYSTEMS

SEAMLESS DESIGN OF ENERGY MANAGEMENT SYSTEMS SEAMLESS DESIGN OF ENERGY MANAGEMENT SYSTEMS A Disseraion Presened o The Academic Faculy by Renke Huang In Parial Fulfillmen Of he Requiremens for he Degree Docor of Philosophy in he School of Elecrical

More information

Designing Information Devices and Systems I Spring 2019 Lecture Notes Note 17

Designing Information Devices and Systems I Spring 2019 Lecture Notes Note 17 EES 16A Designing Informaion Devices and Sysems I Spring 019 Lecure Noes Noe 17 17.1 apaciive ouchscreen In he las noe, we saw ha a capacior consiss of wo pieces on conducive maerial separaed by a nonconducive

More information

04. Kinetics of a second order reaction

04. Kinetics of a second order reaction 4. Kineics of a second order reacion Imporan conceps Reacion rae, reacion exen, reacion rae equaion, order of a reacion, firs-order reacions, second-order reacions, differenial and inegraed rae laws, Arrhenius

More information

Reliability Evaluation and Comparison for Next- Generation Substation Function Based on IEC Using Monte Carlo Simulation

Reliability Evaluation and Comparison for Next- Generation Substation Function Based on IEC Using Monte Carlo Simulation Reliabiliy Evaluaion and Comparison for Nex- Generaion Subsaion Funcion Based on IEC 6185 Using Mone Carlo Simulaion Mike Mekkanen*, Reino Virrankoski*, Mohammed Elmusrai* and Erkki Anila** * Universiy

More information

Notes on Kalman Filtering

Notes on Kalman Filtering Noes on Kalman Filering Brian Borchers and Rick Aser November 7, Inroducion Daa Assimilaion is he problem of merging model predicions wih acual measuremens of a sysem o produce an opimal esimae of he curren

More information

The electromagnetic interference in case of onboard navy ships computers - a new approach

The electromagnetic interference in case of onboard navy ships computers - a new approach The elecromagneic inerference in case of onboard navy ships compuers - a new approach Prof. dr. ing. Alexandru SOTIR Naval Academy Mircea cel Bărân, Fulgerului Sree, Consanţa, soiralexandru@yahoo.com Absrac.

More information

Observability and Estimation Methods Using Synchrophasor

Observability and Estimation Methods Using Synchrophasor Preprins of he 9h World Congress The Inernaional Federaion of Auomaic Conrol Cape Town, Souh Africa. Augus 4-9, 4 Observabiliy and Esimaion Mehods Using Synchrophasor Kai Sun Wei Kang Deparmen of EECS,

More information

TRANSFORMER PROTECTION BASED ON DYNAMIC STATE ESTIMATION

TRANSFORMER PROTECTION BASED ON DYNAMIC STATE ESTIMATION TRANSFRMER PRTECTIN BASED N DYNAMIC STATE ESTIMATIN A Disseraion Presened o The Academic Faculy by Rui Fan In Parial Fulfillmen f he Requiremens for he Degree Docor of Philosophy in he School of Elecrical

More information

2.9 Modeling: Electric Circuits

2.9 Modeling: Electric Circuits SE. 2.9 Modeling: Elecric ircuis 93 2.9 Modeling: Elecric ircuis Designing good models is a ask he compuer canno do. Hence seing up models has become an imporan ask in modern applied mahemaics. The bes

More information

3.1.3 INTRODUCTION TO DYNAMIC OPTIMIZATION: DISCRETE TIME PROBLEMS. A. The Hamiltonian and First-Order Conditions in a Finite Time Horizon

3.1.3 INTRODUCTION TO DYNAMIC OPTIMIZATION: DISCRETE TIME PROBLEMS. A. The Hamiltonian and First-Order Conditions in a Finite Time Horizon 3..3 INRODUCION O DYNAMIC OPIMIZAION: DISCREE IME PROBLEMS A. he Hamilonian and Firs-Order Condiions in a Finie ime Horizon Define a new funcion, he Hamilonian funcion, H. H he change in he oal value of

More information

CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK

CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK 175 CHAPTER 10 VALIDATION OF TEST WITH ARTIFICAL NEURAL NETWORK 10.1 INTRODUCTION Amongs he research work performed, he bes resuls of experimenal work are validaed wih Arificial Neural Nework. From he

More information

L07. KALMAN FILTERING FOR NON-LINEAR SYSTEMS. NA568 Mobile Robotics: Methods & Algorithms

L07. KALMAN FILTERING FOR NON-LINEAR SYSTEMS. NA568 Mobile Robotics: Methods & Algorithms L07. KALMAN FILTERING FOR NON-LINEAR SYSTEMS NA568 Mobile Roboics: Mehods & Algorihms Today s Topic Quick review on (Linear) Kalman Filer Kalman Filering for Non-Linear Sysems Exended Kalman Filer (EKF)

More information

USING SIGN PATTERNS TO DISTINGUISH FEARED CLOCK EVENTS

USING SIGN PATTERNS TO DISTINGUISH FEARED CLOCK EVENTS USING SIGN PATTERNS TO DISTINGUISH FEARED CLOCK EVENTS Mahias Suess and Ulrich Gruner E-mail: Mahias.suess@dlr.de German Aerospace Cenre (DLR) Oberpfaffenhofen, Germany Absrac The firs and second difference

More information

Dam Flooding Simulation Using Advanced CFD Methods

Dam Flooding Simulation Using Advanced CFD Methods WCCM V Fifh World Congress on Compuaional Mechanics July 7-12, 2002, Vienna, Ausria Dam Flooding Simulaion Using Advanced CFD Mehods Mohamed Gouda*, Dr. Konrad Karner VRVis Zenrum für Virual Realiy und

More information

Zhihan Xu, Matt Proctor, Ilia Voloh

Zhihan Xu, Matt Proctor, Ilia Voloh Zhihan Xu, Ma rocor, lia Voloh - GE Digial Energy Mike Lara - SNC-Lavalin resened by: Terrence Smih GE Digial Energy CT fundamenals Circui model, exciaion curve, simulaion model CT sauraion AC sauraion,

More information

University of Cyprus Biomedical Imaging and Applied Optics. Appendix. DC Circuits Capacitors and Inductors AC Circuits Operational Amplifiers

University of Cyprus Biomedical Imaging and Applied Optics. Appendix. DC Circuits Capacitors and Inductors AC Circuits Operational Amplifiers Universiy of Cyprus Biomedical Imaging and Applied Opics Appendix DC Circuis Capaciors and Inducors AC Circuis Operaional Amplifiers Circui Elemens An elecrical circui consiss of circui elemens such as

More information

Problemas das Aulas Práticas

Problemas das Aulas Práticas Mesrado Inegrado em Engenharia Elecroécnica e de Compuadores Conrolo em Espaço de Esados Problemas das Aulas Práicas J. Miranda Lemos Fevereiro de 3 Translaed o English by José Gaspar, 6 J. M. Lemos, IST

More information

Augmented Reality II - Kalman Filters - Gudrun Klinker May 25, 2004

Augmented Reality II - Kalman Filters - Gudrun Klinker May 25, 2004 Augmened Realiy II Kalman Filers Gudrun Klinker May 25, 2004 Ouline Moivaion Discree Kalman Filer Modeled Process Compuing Model Parameers Algorihm Exended Kalman Filer Kalman Filer for Sensor Fusion Lieraure

More information

LAB 5: Computer Simulation of RLC Circuit Response using PSpice

LAB 5: Computer Simulation of RLC Circuit Response using PSpice --3LabManualLab5.doc LAB 5: ompuer imulaion of RL ircui Response using Ppice PURPOE To use a compuer simulaion program (Ppice) o invesigae he response of an RL series circui o: (a) a sinusoidal exciaion.

More information

Single-Pass-Based Heuristic Algorithms for Group Flexible Flow-shop Scheduling Problems

Single-Pass-Based Heuristic Algorithms for Group Flexible Flow-shop Scheduling Problems Single-Pass-Based Heurisic Algorihms for Group Flexible Flow-shop Scheduling Problems PEI-YING HUANG, TZUNG-PEI HONG 2 and CHENG-YAN KAO, 3 Deparmen of Compuer Science and Informaion Engineering Naional

More information

Recursive Least-Squares Fixed-Interval Smoother Using Covariance Information based on Innovation Approach in Linear Continuous Stochastic Systems

Recursive Least-Squares Fixed-Interval Smoother Using Covariance Information based on Innovation Approach in Linear Continuous Stochastic Systems 8 Froniers in Signal Processing, Vol. 1, No. 1, July 217 hps://dx.doi.org/1.2266/fsp.217.112 Recursive Leas-Squares Fixed-Inerval Smooher Using Covariance Informaion based on Innovaion Approach in Linear

More information

2.160 System Identification, Estimation, and Learning. Lecture Notes No. 8. March 6, 2006

2.160 System Identification, Estimation, and Learning. Lecture Notes No. 8. March 6, 2006 2.160 Sysem Idenificaion, Esimaion, and Learning Lecure Noes No. 8 March 6, 2006 4.9 Eended Kalman Filer In many pracical problems, he process dynamics are nonlinear. w Process Dynamics v y u Model (Linearized)

More information

Probabilistic Robotics

Probabilistic Robotics Probabilisic Roboics Bayes Filer Implemenaions Gaussian filers Bayes Filer Reminder Predicion bel p u bel d Correcion bel η p z bel Gaussians : ~ π e p N p - Univariae / / : ~ μ μ μ e p Ν p d π Mulivariae

More information

Shiva Akhtarian MSc Student, Department of Computer Engineering and Information Technology, Payame Noor University, Iran

Shiva Akhtarian MSc Student, Department of Computer Engineering and Information Technology, Payame Noor University, Iran Curren Trends in Technology and Science ISSN : 79-055 8hSASTech 04 Symposium on Advances in Science & Technology-Commission-IV Mashhad, Iran A New for Sofware Reliabiliy Evaluaion Based on NHPP wih Imperfec

More information

Physical Limitations of Logic Gates Week 10a

Physical Limitations of Logic Gates Week 10a Physical Limiaions of Logic Gaes Week 10a In a compuer we ll have circuis of logic gaes o perform specific funcions Compuer Daapah: Boolean algebraic funcions using binary variables Symbolic represenaion

More information

Accurate RMS Calculations for Periodic Signals by. Trapezoidal Rule with the Least Data Amount

Accurate RMS Calculations for Periodic Signals by. Trapezoidal Rule with the Least Data Amount Adv. Sudies Theor. Phys., Vol. 7, 3, no., 3-33 HIKARI Ld, www.m-hikari.com hp://dx.doi.org/.988/asp.3.3999 Accurae RS Calculaions for Periodic Signals by Trapezoidal Rule wih he Leas Daa Amoun Sompop Poomjan,

More information

Dead-time Induced Oscillations in Inverter-fed Induction Motor Drives

Dead-time Induced Oscillations in Inverter-fed Induction Motor Drives Dead-ime Induced Oscillaions in Inverer-fed Inducion Moor Drives Anirudh Guha Advisor: Prof G. Narayanan Power Elecronics Group Dep of Elecrical Engineering, Indian Insiue of Science, Bangalore, India

More information

Kriging Models Predicting Atrazine Concentrations in Surface Water Draining Agricultural Watersheds

Kriging Models Predicting Atrazine Concentrations in Surface Water Draining Agricultural Watersheds 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Kriging Models Predicing Arazine Concenraions in Surface Waer Draining Agriculural Waersheds Paul L. Mosquin, Jeremy Aldworh, Wenlin Chen Supplemenal Maerial Number

More information

An introduction to the theory of SDDP algorithm

An introduction to the theory of SDDP algorithm An inroducion o he heory of SDDP algorihm V. Leclère (ENPC) Augus 1, 2014 V. Leclère Inroducion o SDDP Augus 1, 2014 1 / 21 Inroducion Large scale sochasic problem are hard o solve. Two ways of aacking

More information

Voltage/current relationship Stored Energy. RL / RC circuits Steady State / Transient response Natural / Step response

Voltage/current relationship Stored Energy. RL / RC circuits Steady State / Transient response Natural / Step response Review Capaciors/Inducors Volage/curren relaionship Sored Energy s Order Circuis RL / RC circuis Seady Sae / Transien response Naural / Sep response EE4 Summer 5: Lecure 5 Insrucor: Ocavian Florescu Lecure

More information

SOFTWARE RELIABILITY GROWTH MODEL WITH LOGISTIC TESTING-EFFORT FUNCTION CONSIDERING LOG-LOGISTIC TESTING-EFFORT AND IMPERFECT DEBUGGING

SOFTWARE RELIABILITY GROWTH MODEL WITH LOGISTIC TESTING-EFFORT FUNCTION CONSIDERING LOG-LOGISTIC TESTING-EFFORT AND IMPERFECT DEBUGGING Inernaional Journal of Compuer Science and Communicaion Vol. 2, No. 2, July-December 2011, pp. 605-609 SOFTWARE RELIABILITY GROWTH MODEL WITH LOGISTIC TESTING-EFFORT FUNCTION CONSIDERING LOG-LOGISTIC TESTING-EFFORT

More information

20. Applications of the Genetic-Drift Model

20. Applications of the Genetic-Drift Model 0. Applicaions of he Geneic-Drif Model 1) Deermining he probabiliy of forming any paricular combinaion of genoypes in he nex generaion: Example: If he parenal allele frequencies are p 0 = 0.35 and q 0

More information

Computation of the Effect of Space Harmonics on Starting Process of Induction Motors Using TSFEM

Computation of the Effect of Space Harmonics on Starting Process of Induction Motors Using TSFEM Journal of elecrical sysems Special Issue N 01 : November 2009 pp: 48-52 Compuaion of he Effec of Space Harmonics on Saring Process of Inducion Moors Using TSFEM Youcef Ouazir USTHB Laboraoire des sysèmes

More information

Resource Allocation in Visible Light Communication Networks NOMA vs. OFDMA Transmission Techniques

Resource Allocation in Visible Light Communication Networks NOMA vs. OFDMA Transmission Techniques Resource Allocaion in Visible Ligh Communicaion Neworks NOMA vs. OFDMA Transmission Techniques Eirini Eleni Tsiropoulou, Iakovos Gialagkolidis, Panagiois Vamvakas, and Symeon Papavassiliou Insiue of Communicaions

More information

EE 315 Notes. Gürdal Arslan CLASS 1. (Sections ) What is a signal?

EE 315 Notes. Gürdal Arslan CLASS 1. (Sections ) What is a signal? EE 35 Noes Gürdal Arslan CLASS (Secions.-.2) Wha is a signal? In his class, a signal is some funcion of ime and i represens how some physical quaniy changes over some window of ime. Examples: velociy of

More information

Energy Storage and Renewables in New Jersey: Complementary Technologies for Reducing Our Carbon Footprint

Energy Storage and Renewables in New Jersey: Complementary Technologies for Reducing Our Carbon Footprint Energy Sorage and Renewables in New Jersey: Complemenary Technologies for Reducing Our Carbon Fooprin ACEE E-filliaes workshop November 14, 2014 Warren B. Powell Daniel Seingar Harvey Cheng Greg Davies

More information

EE 435. Lecture 31. Absolute and Relative Accuracy DAC Design. The String DAC

EE 435. Lecture 31. Absolute and Relative Accuracy DAC Design. The String DAC EE 435 Lecure 3 Absolue and Relaive Accuracy DAC Design The Sring DAC . Review from las lecure. DFT Simulaion from Malab Quanizaion Noise DACs and ADCs generally quanize boh ampliude and ime If convering

More information

Embedded Systems and Software. A Simple Introduction to Embedded Control Systems (PID Control)

Embedded Systems and Software. A Simple Introduction to Embedded Control Systems (PID Control) Embedded Sysems and Sofware A Simple Inroducion o Embedded Conrol Sysems (PID Conrol) Embedded Sysems and Sofware, ECE:3360. The Universiy of Iowa, 2016 Slide 1 Acknowledgemens The maerial in his lecure

More information

Estimation of Poses with Particle Filters

Estimation of Poses with Particle Filters Esimaion of Poses wih Paricle Filers Dr.-Ing. Bernd Ludwig Chair for Arificial Inelligence Deparmen of Compuer Science Friedrich-Alexander-Universiä Erlangen-Nürnberg 12/05/2008 Dr.-Ing. Bernd Ludwig (FAU

More information

Unified Control Strategy Covering CCM and DCM for a Synchronous Buck Converter

Unified Control Strategy Covering CCM and DCM for a Synchronous Buck Converter Unified Conrol Sraegy Covering CCM and DCM for a Synchronous Buck Converer Dirk Hirschmann, Sebasian Richer, Chrisian Dick, Rik W. De Doncker Insiue for Power Elecronics and Elecrical Drives RWTH Aachen

More information

ECE 2100 Circuit Analysis

ECE 2100 Circuit Analysis ECE 1 Circui Analysis Lesson 37 Chaper 8: Second Order Circuis Discuss Exam Daniel M. Liynski, Ph.D. Exam CH 1-4: On Exam 1; Basis for work CH 5: Operaional Amplifiers CH 6: Capaciors and Inducor CH 7-8:

More information

CSE 3802 / ECE Numerical Methods in Scientific Computation. Jinbo Bi. Department of Computer Science & Engineering

CSE 3802 / ECE Numerical Methods in Scientific Computation. Jinbo Bi. Department of Computer Science & Engineering CSE 3802 / ECE 3431 Numerical Mehods in Scienific Compuaion Jinbo Bi Deparmen of Compuer Science & Engineering hp://www.engr.uconn.edu/~jinbo 1 Ph.D in Mahemaics The Insrucor Previous professional experience:

More information

End-To-End Reliability-Dependent Pricing of Network Services

End-To-End Reliability-Dependent Pricing of Network Services End-To-End Reliabiliy-Dependen Pricing of Nework Services Bruno TUIN, Pablo RODRÍGUEZ BOCCA 2 and Hécor CANCELA BOSI 2 * IRISA-INRIA, Renne rance 2 Deparameno de Invesigación Operaiva, Insiuo de Compuación,

More information

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle

Physics 235 Chapter 2. Chapter 2 Newtonian Mechanics Single Particle Chaper 2 Newonian Mechanics Single Paricle In his Chaper we will review wha Newon s laws of mechanics ell us abou he moion of a single paricle. Newon s laws are only valid in suiable reference frames,

More information

Optimal Placement of Unified Power Quality Conditioner using Ant Lion Optimization Method

Optimal Placement of Unified Power Quality Conditioner using Ant Lion Optimization Method Research India Publicaions. hp://www.ripublicaion.com Opimal Placemen of Unified Power Qualiy Condiioner using An Lion Opimizaion Mehod M. Laxmidevi Ramanaiah 1 and Dr. M. Damodar Reddy 2 Research Scholar

More information

Zürich. ETH Master Course: L Autonomous Mobile Robots Localization II

Zürich. ETH Master Course: L Autonomous Mobile Robots Localization II Roland Siegwar Margaria Chli Paul Furgale Marco Huer Marin Rufli Davide Scaramuzza ETH Maser Course: 151-0854-00L Auonomous Mobile Robos Localizaion II ACT and SEE For all do, (predicion updae / ACT),

More information

6.2 Transforms of Derivatives and Integrals.

6.2 Transforms of Derivatives and Integrals. SEC. 6.2 Transforms of Derivaives and Inegrals. ODEs 2 3 33 39 23. Change of scale. If l( f ()) F(s) and c is any 33 45 APPLICATION OF s-shifting posiive consan, show ha l( f (c)) F(s>c)>c (Hin: In Probs.

More information

Robust estimation based on the first- and third-moment restrictions of the power transformation model

Robust estimation based on the first- and third-moment restrictions of the power transformation model h Inernaional Congress on Modelling and Simulaion, Adelaide, Ausralia, 6 December 3 www.mssanz.org.au/modsim3 Robus esimaion based on he firs- and hird-momen resricions of he power ransformaion Nawaa,

More information

Vehicle Arrival Models : Headway

Vehicle Arrival Models : Headway Chaper 12 Vehicle Arrival Models : Headway 12.1 Inroducion Modelling arrival of vehicle a secion of road is an imporan sep in raffic flow modelling. I has imporan applicaion in raffic flow simulaion where

More information

Topic Astable Circuits. Recall that an astable circuit has two unstable states;

Topic Astable Circuits. Recall that an astable circuit has two unstable states; Topic 2.2. Asable Circuis. Learning Objecives: A he end o his opic you will be able o; Recall ha an asable circui has wo unsable saes; Explain he operaion o a circui based on a Schmi inverer, and esimae

More information

Energy Management Optimization for a Hybrid Tracked Vehicle Using the Radau Pseudospectral Method

Energy Management Optimization for a Hybrid Tracked Vehicle Using the Radau Pseudospectral Method Available online a www.sciencedirec.com ScienceDirec Energy Procedia 88 (2016 ) 957 963 CUE2015-Applied Energy Symposium and Summi 2015: Low carbon ciies and urban energy sysems Energy Managemen Opimizaion

More information

Delivering Better Time-of-Day Using Synchronous Ethernet and Yaakov (J) Stein, Alon Geva, Gabriel Zigelboim RAD Data Communications

Delivering Better Time-of-Day Using Synchronous Ethernet and Yaakov (J) Stein, Alon Geva, Gabriel Zigelboim RAD Data Communications Delivering Beer Time-of-Day Using Synchronous Eherne and 1588 Yaakov (J) Sein, Alon Geva, Gabriel Zigelboim RAD Daa Communicaions The problem I wan discuss he use of 1588 (or NTP for ha maer) for ime of

More information

Tracking. Announcements

Tracking. Announcements Tracking Tuesday, Nov 24 Krisen Grauman UT Ausin Announcemens Pse 5 ou onigh, due 12/4 Shorer assignmen Auo exension il 12/8 I will no hold office hours omorrow 5 6 pm due o Thanksgiving 1 Las ime: Moion

More information

R.#W.#Erickson# Department#of#Electrical,#Computer,#and#Energy#Engineering# University#of#Colorado,#Boulder#

R.#W.#Erickson# Department#of#Electrical,#Computer,#and#Energy#Engineering# University#of#Colorado,#Boulder# .#W.#Erickson# Deparmen#of#Elecrical,#Compuer,#and#Energy#Engineering# Universiy#of#Colorado,#Boulder# Chaper 2 Principles of Seady-Sae Converer Analysis 2.1. Inroducion 2.2. Inducor vol-second balance,

More information

Anti-Disturbance Control for Multiple Disturbances

Anti-Disturbance Control for Multiple Disturbances Workshop a 3 ACC Ani-Disurbance Conrol for Muliple Disurbances Lei Guo (lguo@buaa.edu.cn) Naional Key Laboraory on Science and Technology on Aircraf Conrol, Beihang Universiy, Beijing, 9, P.R. China. Presened

More information

THE LQG control problem [1] concerns linear systems

THE LQG control problem [1] concerns linear systems Orhogonal Funcions Approach o LQG Conrol B M Mohan Senior Member, IEEE, and Sanjeeb Kumar Kar Absrac In his paper a unified approach via block-pulse funcions (BPFs) or shifed Legendre polynomials (SLPs)

More information

9. Alternating currents

9. Alternating currents WS 9. Alernaing currens 9.1 nroducion Besides ohmic resisors, capaciors and inducions play an imporan role in alernaing curren (AC circuis as well. n his experimen, one shall invesigae heir behaviour in

More information

An recursive analytical technique to estimate time dependent physical parameters in the presence of noise processes

An recursive analytical technique to estimate time dependent physical parameters in the presence of noise processes WHAT IS A KALMAN FILTER An recursive analyical echnique o esimae ime dependen physical parameers in he presence of noise processes Example of a ime and frequency applicaion: Offse beween wo clocks PREDICTORS,

More information

Optimal Path Planning for Flexible Redundant Robot Manipulators

Optimal Path Planning for Flexible Redundant Robot Manipulators 25 WSEAS In. Conf. on DYNAMICAL SYSEMS and CONROL, Venice, Ialy, November 2-4, 25 (pp363-368) Opimal Pah Planning for Flexible Redundan Robo Manipulaors H. HOMAEI, M. KESHMIRI Deparmen of Mechanical Engineering

More information

V L. DT s D T s t. Figure 1: Buck-boost converter: inductor current i(t) in the continuous conduction mode.

V L. DT s D T s t. Figure 1: Buck-boost converter: inductor current i(t) in the continuous conduction mode. ECE 445 Analysis and Design of Power Elecronic Circuis Problem Se 7 Soluions Problem PS7.1 Erickson, Problem 5.1 Soluion (a) Firs, recall he operaion of he buck-boos converer in he coninuous conducion

More information

UNIVERSITÀ DI PISA DIPARTIMENTO DI INGEGNERIA MECCANICA, NUCLEARE E DELLA PRODUZIONE VIA DIOTISALVI 2, PISA

UNIVERSITÀ DI PISA DIPARTIMENTO DI INGEGNERIA MECCANICA, NUCLEARE E DELLA PRODUZIONE VIA DIOTISALVI 2, PISA G r u p p o R I c e r c a N u c le a r e S a n P I e r o a G r a d o N u c l e a r a n d I n d u s r I a l E n g I n e e r I n g UNIVERSIÀ DI PISA DIPARIMENO DI INGEGNERIA MECCANICA NUCLEARE E DELLA PRODUZIONE

More information

CONTROL SYSTEMS, ROBOTICS AND AUTOMATION Vol. XI Control of Stochastic Systems - P.R. Kumar

CONTROL SYSTEMS, ROBOTICS AND AUTOMATION Vol. XI Control of Stochastic Systems - P.R. Kumar CONROL OF SOCHASIC SYSEMS P.R. Kumar Deparmen of Elecrical and Compuer Engineering, and Coordinaed Science Laboraory, Universiy of Illinois, Urbana-Champaign, USA. Keywords: Markov chains, ransiion probabiliies,

More information

Chapter 7 Response of First-order RL and RC Circuits

Chapter 7 Response of First-order RL and RC Circuits Chaper 7 Response of Firs-order RL and RC Circuis 7.- The Naural Response of RL and RC Circuis 7.3 The Sep Response of RL and RC Circuis 7.4 A General Soluion for Sep and Naural Responses 7.5 Sequenial

More information

DIFFERENTIAL DIAGNOSTICS FOR LITHIUM ION BATTERY CELLS CONNECTED IN SERIES. R (i) Resistance of the i th cell. y (i)

DIFFERENTIAL DIAGNOSTICS FOR LITHIUM ION BATTERY CELLS CONNECTED IN SERIES. R (i) Resistance of the i th cell. y (i) Proceedings of he ASME 214 Dynamic Sysems and Conrol Conference DSCC214 Ocober 22-24, 214, San Anonio, TX, USA DSCC214-6274 DIFFERENTIAL DIAGNOSTICS FOR LITHIUM ION BATTERY CELLS CONNECTED IN SERIES Jariullah

More information

2.4 Cuk converter example

2.4 Cuk converter example 2.4 Cuk converer example C 1 Cuk converer, wih ideal swich i 1 i v 1 2 1 2 C 2 v 2 Cuk converer: pracical realizaion using MOSFET and diode C 1 i 1 i v 1 2 Q 1 D 1 C 2 v 2 28 Analysis sraegy This converer

More information

Low Computation and Low Latency Algorithms for Distributed Sensor Network Initialization

Low Computation and Low Latency Algorithms for Distributed Sensor Network Initialization Low Compuaion and Low Laency Algorihms for Disribued Sensor Nework Iniializaion M. Borkar, V. Cevher and J.H. McClellan Absrac In his paper, we show how an underlying sysem s sae vecor disribuion can be

More information

Modal identification of structures from roving input data by means of maximum likelihood estimation of the state space model

Modal identification of structures from roving input data by means of maximum likelihood estimation of the state space model Modal idenificaion of srucures from roving inpu daa by means of maximum likelihood esimaion of he sae space model J. Cara, J. Juan, E. Alarcón Absrac The usual way o perform a forced vibraion es is o fix

More information

Modeling the Dynamics of an Ice Tank Carriage

Modeling the Dynamics of an Ice Tank Carriage Modeling he Dynamics of an Ice Tank Carriage The challenge: To model he dynamics of an Ice Tank Carriage and idenify a mechanism o alleviae he backlash inheren in he design of he gearbox. Maplesof, a division

More information

Magnetic Field Synthesis in an Open-Boundary Region Exploiting Thévenin Equivalent Conditions

Magnetic Field Synthesis in an Open-Boundary Region Exploiting Thévenin Equivalent Conditions Magneic Field Synhesis in an Open-Boundary Region Exploiing Thévenin Equivalen Condiions Paolo DI BARBA, PhD Dep of Indusrial and Informaion Engineering Universiy of Pavia, Ialy paolo.dibarba@unipv.i Ouline

More information

di Bernardo, M. (1995). A purely adaptive controller to synchronize and control chaotic systems.

di Bernardo, M. (1995). A purely adaptive controller to synchronize and control chaotic systems. di ernardo, M. (995). A purely adapive conroller o synchronize and conrol chaoic sysems. hps://doi.org/.6/375-96(96)8-x Early version, also known as pre-prin Link o published version (if available):.6/375-96(96)8-x

More information

Lab #2: Kinematics in 1-Dimension

Lab #2: Kinematics in 1-Dimension Reading Assignmen: Chaper 2, Secions 2-1 hrough 2-8 Lab #2: Kinemaics in 1-Dimension Inroducion: The sudy of moion is broken ino wo main areas of sudy kinemaics and dynamics. Kinemaics is he descripion

More information

Basic Circuit Elements Professor J R Lucas November 2001

Basic Circuit Elements Professor J R Lucas November 2001 Basic Circui Elemens - J ucas An elecrical circui is an inerconnecion of circui elemens. These circui elemens can be caegorised ino wo ypes, namely acive and passive elemens. Some Definiions/explanaions

More information

USNO MASTER CLOCK DESIGN ENHANCEMENTS

USNO MASTER CLOCK DESIGN ENHANCEMENTS USNO MASTER CLOCK DESIGN ENHANCEMENTS P. Koppang, J. Skinner, and D. Johns U.S. Naval Observaory Absrac We have implemened several enhancemens o he US Naval Observaory (USNO) Maser Clock sysem. Design

More information

Two Popular Bayesian Estimators: Particle and Kalman Filters. McGill COMP 765 Sept 14 th, 2017

Two Popular Bayesian Estimators: Particle and Kalman Filters. McGill COMP 765 Sept 14 th, 2017 Two Popular Bayesian Esimaors: Paricle and Kalman Filers McGill COMP 765 Sep 14 h, 2017 1 1 1, dx x Bel x u x P x z P Recall: Bayes Filers,,,,,,, 1 1 1 1 u z u x P u z u x z P Bayes z = observaion u =

More information

References are appeared in the last slide. Last update: (1393/08/19)

References are appeared in the last slide. Last update: (1393/08/19) SYSEM IDEIFICAIO Ali Karimpour Associae Professor Ferdowsi Universi of Mashhad References are appeared in he las slide. Las updae: 0..204 393/08/9 Lecure 5 lecure 5 Parameer Esimaion Mehods opics o be

More information

Modeling of vision based robot formation control using fuzzy logic controller and extended Kalman filter

Modeling of vision based robot formation control using fuzzy logic controller and extended Kalman filter Inernaional Journal of Fuzzy Logic and Inelligen Sysems, vol. 2, no. 3, Sepember 22, pp. 238-244 hp://dx.doi.org/.539/ijfis.22.2.3.238 pissn 598-2645 eissn 293-744X Modeling of vision based robo formaion

More information

6.01: Introduction to EECS I Lecture 8 March 29, 2011

6.01: Introduction to EECS I Lecture 8 March 29, 2011 6.01: Inroducion o EES I Lecure 8 March 29, 2011 6.01: Inroducion o EES I Op-Amps Las Time: The ircui Absracion ircuis represen sysems as connecions of elemens hrough which currens (hrough variables) flow

More information

15210 RECORDING TIMER - AC STUDENT NAME:

15210 RECORDING TIMER - AC STUDENT NAME: CONTENTS 15210 RECORDING TIMER - AC STUDENT NAME: REQUIRED ACCESSORIES o C-Clamps o Ruler or Meer Sick o Mass (200 g or larger) OPTIONAL ACCESSORIES o Ticker Tape Dispenser (#15225) o Consan Speed Vehicle

More information

Application of a Stochastic-Fuzzy Approach to Modeling Optimal Discrete Time Dynamical Systems by Using Large Scale Data Processing

Application of a Stochastic-Fuzzy Approach to Modeling Optimal Discrete Time Dynamical Systems by Using Large Scale Data Processing Applicaion of a Sochasic-Fuzzy Approach o Modeling Opimal Discree Time Dynamical Sysems by Using Large Scale Daa Processing AA WALASZE-BABISZEWSA Deparmen of Compuer Engineering Opole Universiy of Technology

More information

On-line Adaptive Optimal Timing Control of Switched Systems

On-line Adaptive Optimal Timing Control of Switched Systems On-line Adapive Opimal Timing Conrol of Swiched Sysems X.C. Ding, Y. Wardi and M. Egersed Absrac In his paper we consider he problem of opimizing over he swiching imes for a muli-modal dynamic sysem when

More information

Chapter 3, Part IV: The Box-Jenkins Approach to Model Building

Chapter 3, Part IV: The Box-Jenkins Approach to Model Building Chaper 3, Par IV: The Box-Jenkins Approach o Model Building The ARMA models have been found o be quie useful for describing saionary nonseasonal ime series. A parial explanaion for his fac is provided

More information

The SOC Estimation of Power Li-Ion Battery Based on ANFIS Model *

The SOC Estimation of Power Li-Ion Battery Based on ANFIS Model * Smar Grid and Renewable Energy, 202, 3, 5-55 hp://dx.doi.org/0.4236/sgre.202.3007 Published Online February 202 (hp://www.scirp.org/journal/sgre) 5 The SOC Esimaion of Power Li-Ion Baery Based on ANFIS

More information

STATE-SPACE MODELLING. A mass balance across the tank gives:

STATE-SPACE MODELLING. A mass balance across the tank gives: B. Lennox and N.F. Thornhill, 9, Sae Space Modelling, IChemE Process Managemen and Conrol Subjec Group Newsleer STE-SPACE MODELLING Inroducion: Over he pas decade or so here has been an ever increasing

More information

Solutions to Odd Number Exercises in Chapter 6

Solutions to Odd Number Exercises in Chapter 6 1 Soluions o Odd Number Exercises in 6.1 R y eˆ 1.7151 y 6.3 From eˆ ( T K) ˆ R 1 1 SST SST SST (1 R ) 55.36(1.7911) we have, ˆ 6.414 T K ( ) 6.5 y ye ye y e 1 1 Consider he erms e and xe b b x e y e b

More information

EECS 141: FALL 00 MIDTERM 2

EECS 141: FALL 00 MIDTERM 2 Universiy of California College of Engineering Deparmen of Elecrical Engineering and Compuer Science J. M. Rabaey TuTh9:30-11am ee141@eecs EECS 141: FALL 00 MIDTERM 2 For all problems, you can assume he

More information

Survey of JPDA algorithms for possible Real-Time implementation

Survey of JPDA algorithms for possible Real-Time implementation Survey of JPDA algorihms for possible Real-Time implemenaion M.J. Goosen, B.J. van Wyk, M.A. van Wyk Rand Afrikaans Universiy, Johannesburg, Souh Africa. mgoosen@ing.rau.ac.za French Souh African Technical

More information

Bias in Conditional and Unconditional Fixed Effects Logit Estimation: a Correction * Tom Coupé

Bias in Conditional and Unconditional Fixed Effects Logit Estimation: a Correction * Tom Coupé Bias in Condiional and Uncondiional Fixed Effecs Logi Esimaion: a Correcion * Tom Coupé Economics Educaion and Research Consorium, Naional Universiy of Kyiv Mohyla Academy Address: Vul Voloska 10, 04070

More information

Sophisticated Monetary Policies. Andrew Atkeson. V.V. Chari. Patrick Kehoe

Sophisticated Monetary Policies. Andrew Atkeson. V.V. Chari. Patrick Kehoe Sophisicaed Moneary Policies Andrew Akeson UCLA V.V. Chari Universiy of Minnesoa Parick Kehoe Federal Reserve Bank of Minneapolis and Universiy of Minnesoa Barro, Lucas-Sokey Approach o Policy Solve Ramsey

More information

A quantum method to test the existence of consciousness

A quantum method to test the existence of consciousness A quanum mehod o es he exisence of consciousness Gao Shan The Scieniss Work Team of Elecro-Magneic Wave Velociy, Chinese Insiue of Elecronics -0, NO.0 Building, YueTan XiJie DongLi, XiCheng Disric Beijing

More information

not to be republished NCERT MATHEMATICAL MODELLING Appendix 2 A.2.1 Introduction A.2.2 Why Mathematical Modelling?

not to be republished NCERT MATHEMATICAL MODELLING Appendix 2 A.2.1 Introduction A.2.2 Why Mathematical Modelling? 256 MATHEMATICS A.2.1 Inroducion In class XI, we have learn abou mahemaical modelling as an aemp o sudy some par (or form) of some real-life problems in mahemaical erms, i.e., he conversion of a physical

More information

Simulation-Solving Dynamic Models ABE 5646 Week 2, Spring 2010

Simulation-Solving Dynamic Models ABE 5646 Week 2, Spring 2010 Simulaion-Solving Dynamic Models ABE 5646 Week 2, Spring 2010 Week Descripion Reading Maerial 2 Compuer Simulaion of Dynamic Models Finie Difference, coninuous saes, discree ime Simple Mehods Euler Trapezoid

More information

5.2. The Natural Logarithm. Solution

5.2. The Natural Logarithm. Solution 5.2 The Naural Logarihm The number e is an irraional number, similar in naure o π. Is non-erminaing, non-repeaing value is e 2.718 281 828 59. Like π, e also occurs frequenly in naural phenomena. In fac,

More information

MANAGEMENT SCIENCE doi /mnsc ec pp. ec1 ec20

MANAGEMENT SCIENCE doi /mnsc ec pp. ec1 ec20 MANAGEMENT SCIENCE doi.287/mnsc.7.82ec pp. ec ec2 e-companion ONLY AVAILABLE IN ELECTRONIC FORM informs 28 INFORMS Elecronic Companion Saffing of Time-Varying Queues o Achieve Time-Sable Performance by

More information

Introduction to Mobile Robotics

Introduction to Mobile Robotics Inroducion o Mobile Roboics Bayes Filer Kalman Filer Wolfram Burgard Cyrill Sachniss Giorgio Grisei Maren Bennewiz Chrisian Plagemann Bayes Filer Reminder Predicion bel p u bel d Correcion bel η p z bel

More information

Distributed Particle Filters for Sensor Networks

Distributed Particle Filters for Sensor Networks Disribued Paricle Filers for Sensor Neworks Mark Coaes Deparmen of Elecrical and Compuer Engineering, McGill Universiy 3480 Universiy S, Monreal, Quebec, Canada H3A 2A7 coaes@ece.mcgill.ca, WWW home page:

More information

Independent component analysis for nonminimum phase systems using H filters

Independent component analysis for nonminimum phase systems using H filters Independen componen analysis for nonminimum phase sysems using H filers Shuichi Fukunaga, Kenji Fujimoo Deparmen of Mechanical Science and Engineering, Graduae Shool of Engineering, Nagoya Universiy, Furo-cho,

More information

Decentralized Stochastic Control with Partial History Sharing: A Common Information Approach

Decentralized Stochastic Control with Partial History Sharing: A Common Information Approach 1 Decenralized Sochasic Conrol wih Parial Hisory Sharing: A Common Informaion Approach Ashuosh Nayyar, Adiya Mahajan and Demoshenis Tenekezis arxiv:1209.1695v1 [cs.sy] 8 Sep 2012 Absrac A general model

More information

Space-time Galerkin POD for optimal control of Burgers equation. April 27, 2017 Absolventen Seminar Numerische Mathematik, TU Berlin

Space-time Galerkin POD for optimal control of Burgers equation. April 27, 2017 Absolventen Seminar Numerische Mathematik, TU Berlin Space-ime Galerkin POD for opimal conrol of Burgers equaion Manuel Baumann Peer Benner Jan Heiland April 27, 207 Absolvenen Seminar Numerische Mahemaik, TU Berlin Ouline. Inroducion 2. Opimal Space Time

More information