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COMPLEX SYSTEMS AND BLACKOUTS

older conference papers on complex systems

overviews

Complex systems analysis of series of blackouts: cascading failure, critical points, and self-organization
I. Dobson, B.A. Carreras, V.E. Lynch, D.E. Newman
  Chaos, vol. 17, 026103, June 2007

Towards quantifying cascading blackout risk
  I. Dobson, K.R. Wierzbicki, J. Kim, H. Ren,
Bulk Power System Dynamics and Control-VII, Charleston SC USA, August 2007

Initial review of  methods for cascading failure analysis in electric power transmission systems
  IEEE PES CAMS Task Force on Cascading Failure
IEEE Power Engineering Society General Meeting, Pittsburgh PA USA, July 2008


self-organized criticality and blackout risk

Critical points and transitions in an electric power transmission model for cascading failure blackouts
B.A. Carreras, V.E. Lynch, I. Dobson, D.E. Newman,
Chaos, vol 12, no 4, December 2002, pp 985-994
copyright 2002 American Institute of Physics; official link
 B.A. Carreras et al.,Chaos, 12, 985 (2002)

Blackout mitigation assessment in power transmission systems
B.A. Carreras, V.E. Lynch, I. Dobson, D.E. Newman
Thirty-sixth Hawaii International Conference on System Sciences, Hawaii, January 2003

Complex dynamics of blackouts in power transmission systems
B.A. Carreras, V.E. Lynch, I. Dobson, D.E. Newman
Chaos, vol 14, no 3, September 2004, pp 643-652
 
copyright 2002 American Institute of Physics; official link
B.A. Carreras et al.,Chaos, 14, 643 (2004)

The impact of various upgrade strategies on the long-term dynamics and robustness of the transmission grid
D.E. Newman, B.A. Carreras, V.E. Lynch, I. Dobson
Electricity Transmission in Deregulated Markets, conference at Carnegie-Mellon University, Pittsburgh PA, December 2004

Risk assessment in complex interacting infrastructure systems
D. E. Newman, B. Nkei, B. A. Carreras, I. Dobson, V. E. Lynch, P. Gradney  
Thirty-eighth Hawaii International Conference on System Sciences, Hawaii, January 2005

Understanding the effect of risk aversion on risk
U. Bhatt, D.E. Newman, B.A. Carreras, I. Dobson
Thirty-eighth Hawaii International Conference on System Sciences, Hawaii, January 2005

Interdependent risk in interacting infrastructure systems
B.A. Carreras, D.E. Newman, P. Gradney, V.E. Lynch,  I. Dobson
Fortieth Hawaii International Conference on System Sciences, Hawaii, January 2007

Evaluating the effect of upgrade, control and development strategies on robustness and failure risk of the power transmission grid
D.E. Newman, B.A. Carreras, V.E. Lynch,  I. Dobson
Forty-first Hawaii International Conference on System Sciences, Hawaii, January 2008

Long-term effect of the n-1 criterion on cascading line outages in an evolving power transmission grid
H. Ren, I. Dobson, B.A. Carreras
IEEE Transactions on Power Systems, vol 23, no 3, August 2008, pp 1217-1225

A simple model for the reliability of an infrastructure system controlled by agents
B.A. Carreras, D.E. Newman,  I. Dobson, M. Zeidenberg
Forty-second Hawaii International Conference on System Sciences, Hawaii, January 2009

The impact of risk-averse operation on the likelihood of extreme events in a simple model of infrastructure
B.A. Carreras, D.E. Newman, I. Dobson, M. Zeidenberg
Chaos, vol 19, 043107, October 2009
 
copyright 2009 American Institute of Physics; official link
Carreras et al, Chaos 19 (2009)


Dynamics of an economics model for generation coupled to the OPA power transmission model
B.A. Carreras, D.E. Newman, M. Zeidenberg, I. Dobson
Forty-third Hawaii International Conference on System Sciences, Kauai, Hawaii, January 2010

The impact of distributed generation on power transmission grid dynamics
D.E. Newman, B.A. Carreras, M. Kirchner, I. Dobson,
  Forty-fourth Hawaii International Conference on System Sciences, Kauai, Hawaii, January 2011

Exploring complex systems aspects of blackout risk and mitigation
D.E. Newman, B.A. Carreras, V.E. Lynch, I. Dobson
  IEEE Transactions on Reliability, vol 60, no 1, March 2011, pp 134-143

Determining the vulnerabilities of the power transmission system
B.A. Carreras, D.E. Newman, I. Dobson
Forty-fifth Hawaii International Conference on System Sciences, Maui, Hawaii, January 2012

Risk metrics for dynamic complex infrastructure systems such as the power transmission grid
D.E. Newman, B.A. Carreras, N.S. Degala, I. Dobson
  Forty-fifth Hawaii International Conference on System Sciences, Maui, Hawaii, January 2012

Validating OPA with WECC data
B.A. Carreras, D.E. Newman, I. Dobson, N.S. Degala
  Forty-sixth Hawaii International Conference on System Sciences, Maui, Hawaii, January 2013

Transdisciplinary electric power grid science
C.D. Brummitt, P.D.H. Hines, I. Dobson, C. Moore, R.M. D'Souza
opinion piece, Proceedings of the National Academy of Sciences, vol 110, no 30, July 2013, p 12159

Thresholds and complex dynamics of interdependent cascading infrastructure systems
B.A. Carreras, D.E. Newman,  I. Dobson, V.E. Lynch, P. Gradney
Chapter 5, pp. 95-114, in G. D'Agostino and A. Scala (eds.)
Networks of Networks: The Last Frontier of Complexity 
Springer Switzerland 2014, DOI: 10.1007/978-3-319-03518-5_5

The impact of size and inhomogeneity on power transmission network complex system dynamics
B.A. Carreras, D.E. Newman, I. Dobson
  Forty-seventh Hawaii International Conference on System Sciences, Big Island, Hawaii, January 2014

Does size matter?
B.A. Carreras, D.E. Newman, I. Dobson
  Chaos, vol 24, no 2, 023104, 2014
 
copyright 2014 American Institute of Physics; official link
Carreras et al, Chaos 24 (2014)

risk of cascading failure,
power system simulations and probabilistic models

Cascading dynamics and mitigation assessment in power system disturbances
via a hidden failure model
 
J. Chen, J.S. Thorp, I. Dobson
International Journal of Electrical Power and Energy Systems, vol 27, no 4, May 2005, pp 318-326
doi:10.1016/j.ijepes.2004.12.003

Dynamical and probabilistic approaches to the study of blackout vulnerability
of the power transmission grid
B.A. Carreras, V.E. Lynch, D.E. Newman, I. Dobson
Thirty-seventh Hawaii International Conference on System Sciences, Hawaii, January 2004

A branching process approximation to cascading load-dependent system failure
I. Dobson, B.A. Carreras, D.E. Newman
Thirty-seventh Hawaii International Conference on System Sciences, Hawaii, January 2004

Probabilistic load-dependent cascading failure with limited component interactions
I. Dobson, B.A. Carreras, D.E. Newman
IEEE International Symposium on Circuits and System, Vancouver Canada, May 2004

A criticality approach to monitoring cascading failure risk and failure propagation in transmission systems
I. Dobson, B.A. Carreras, D.E. Newman
Electricity Transmission  in Deregulated Markets, conference at Carnegie-Mellon University, Pittsburgh PA, December 2004
 
A loading-dependent model of probabilistic cascading failure
I. Dobson, B.A. Carreras, D.E. Newman
Probability in the Engineering and Informational Sciences, vol 19, no 1, Jan 2005, pp 15-32

Estimating failure propagation in models of cascading blackouts
I. Dobson, B.A. Carreras, V.E. Lynch, B. Nkei, D.E. Newman
Probability in the Engineering and Informational Sciences,  vol 19,  no 4, October 2005, pp 475-488
(journal publication of conference paper in Probability Methods Applied to Power Systems, Ames Iowa, 2004)

An estimator of propagation of cascading failure
I. Dobson, K.R. Wierzbicki, B.A. Carreras, V.E. Lynch, D.E. Newman
Thirty-ninth Hawaii International Conference on System Sciences, Kauai, Hawaii, January 2006

An approach to statistical estimation of cascading failure propagation in blackouts
K.R. Wierzbicki, I. Dobson
CRIS, Third International Conference on Critical Infrastructures, Alexandria VA, Sept. 2006

Criticality in a cascading failure blackout model
D.P. Nedic, I. Dobson, D.S. Kirschen, B.A. Carreras, V.E. Lynch
International Journal of Electrical Power and Energy Systems, vol 28, 2006, pp 627-633
(journal publication of paper in 15th Power Systems Computation Conference, Liege Belgium, August 2005)
doi:10.1016/j.ijepes.2006.03.006

Where is the edge for cascading failure?: challenges and opportunities for quantifying blackout risk
I. Dobson
IEEE Power Engineering Society General Meeting, Tampa FL USA, June 2007

Implications of an inverse branching aftershock sequence model
D.L. Turcotte, S.G. Abaimov, I. Dobson, J.B. Rundle
  Physical Review E,  vol 79, no 1, 016101, 2009

Analysis of cascading infrastructure failures
I. Dobson
chapter for Wiley handbook of science and technology for homeland security, 2010

Propagation of load shed in cascading line outages simulated by OPA
J. Kim, I. Dobson
COMPENG 2010: Complexity in Engineering, Rome Italy, February 2010

Testing branching process estimators of cascading failure with data from a simulation of transmission line outages
Link above is author's preprint. The definitive version is available at www.blackwell-synergy.com
I. Dobson, J. Kim, K.R. Wierzbicki
Risk Analysis, vol 30, no 4, pp. 650-662, 2010

Approximating a loading-dependent cascading failure model with a branching process
J. Kim, I. Dobson
  IEEE Transactions on Reliability, vol 59, no 4, Dec. 2010, pp 691-699

Investment planning for electric power systems under terrorist threat
N. Romero, N. Xu, L. K. Nozick, I. Dobson, D. Jones
IEEE Transactions on Power Systems, vol 27, no 1, February 2012, pp 108-116.

Estimating propagation and distribution of load shed in simulations of cascading blackouts
J. Kim, K.R. Wierzbicki, I. Dobson, R.C. Hardiman
IEEE Systems Journal, vol 6, no 3, September 2012, pp 548-557

Cascading stall of many induction motors in a simple system
H. Wu, I. Dobson
IEEE Transactions on Power Systems, vol 27, no 4, Nov 2012
 pp 2116-2126, DOI 10.1109/TPWRS.2012.2189420

Analysis of cascading infrastructure failures
I. Dobson
chapter for Wiley Handbook of Science and Technology for Homeland Security, 2010

"Dual graph" and "random chemistry" methods for cascading failure analysis
P. Hines, I. Dobson, E. Cotilla-Sanchez, M. Eppstein
  Forty-sixth Hawaii International Conference on System Sciences, Maui, Hawaii, January 2013

Splitting method for speedy simulation of cascading blackouts
J. Kim, J.A. Bucklew, I. Dobson
IEEE Transactions on Power Systems, vol 28, no 3, Aug 2013
pp 3010-3017, DOI 10.1109/TPWRS.2012.2231887

How many occurrences of rare blackout events are needed to estimate event probability?
I. Dobson, B.A. Carreras, D.E. Newman
IEEE Transactions on Power Systems, vol 28, no 3, Aug 2013
pp 3509-3510, DOI 10.1109/TPWRS.2013.2242700

Towards estimating the statistics of simulated cascades of outages with branching processes
J. Qi, I. Dobson, S. Mei
IEEE Transactions on Power Systems, vol 28, no 3, Aug 2013
pp 3410-3419, DOI 10.1109/TPWRS.2012.2243479

Analysis of induction motor cascading stall in a simple system based on the CASCADE model
H. Wu, I. Dobson
IEEE Transactions on Power Systems, vol 28, no 3, Aug 2013
pp 3184-3193, DOI 10.1109/TPWRS.2012.2244924

Investment planning for electric power systems under terrorist threat
N. Romero, N. Xu, L. K. Nozick, I. Dobson, D. Jones
IEEE Transactions on Power Systems, vol 27, no 1, February 2012, pp 108-116

Transmission and generation expansion to mitigate seismic risk
N. Romero, L.K. Nozick, I. Dobson, N. Xu, D.A. Jones
IEEE Transactions on Power Systems, vol 28, no 4, November 2013, pp 3692-3701

Seismic retrofit for electric power systems
N. Romero, L. K. Nozick, I. Dobson,  N. Xu, D.A. Jones
to appear in Earthquake Spectra

analyzing data from real blackouts

Evidence for self-organized criticality in a time series of electric power system blackouts
B.A. Carreras, D.E. Newman, I. Dobson, A.B. Poole
  IEEE Transactions on Circuits and Systems I, vol 51, no 9, Sept. 2004, pp 1733-1740

Branching process models for the exponentially increasing portions of cascading failure blackouts
I. Dobson, B.A. Carreras, D.E. Newman
Thirty-eighth Hawaii International Conference on System Sciences, Hawaii, Jan. 2005

Using transmission line outage data to estimate cascading failure propagation in an electric power system
H. Ren, I. Dobson
IEEE Transactions on Circuits and Systems Part II, vol 55,  no 9,  Sept. 2008, pp 927-931

Number and propagation of line outages in cascading events in electric power transmission systems
I. Dobson, B.A. Carreras
48th Allerton Conference, UIUC, IL USA, Sept. 2010

Estimating the propagation and extent of cascading line outages from utility data with a branching process
I. Dobson
IEEE Transactions on Power Systems, vol 27, no 4, Nov 2012
 pp 2146-2155, DOI 10.1109/TPWRS.2012.2190112

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UTILITY ELECTRIC POWER SYSTEMS

synchrophasors and angles across areas for smart grid

Combining phasor measurements to monitor cutset angles
I. Dobson, M. Parashar, C. Carter
best paper award, 43rd Hawaii International Conference on System Sciences, Kauai HI, Jan. 2010

A cutset area concept for phasor monitoring
I. Dobson, M. Parashar
  IEEE PES General Meeting, Minneapolis July 2010

New angles for monitoring areas
I. Dobson
 IREP Symposium: Bulk Power System Dynamics and Control VIII,  Buzios, Brazil, August 2010

Voltages across an area of a network
I. Dobson
  IEEE Transactions on Power Systems vol. 27, no. 2, May 2012, pp. 993-1002

Locating line outages in a specific area of a power system with synchrophasors
H. Sehwail, I. Dobson
  North American Power Symposium, University of Illinois, Urbana-Champaign IL, September 2012 

Applying synchrophasor computations to a specific area
H. Sehwail, I. Dobson
  IEEE Transactions on Power Systems, vol 28, no 3, Aug 2013
pp 3503-3504, DOI 10.1109/TPWRS.2013.2248957

Area angles monitor area stress by responding to line outages
A. Darvishi, I. Dobson, A. Oi, C. Nakazawa
  NAPS North American Power Symposium, Manhattan KS USA September 2013

Synchrophasor monitoring of single line outages via area angle and susceptance
A. Darvishi, I. Dobson
  NAPS North American Power Symposium, Pullman WA, September 2014

Monitoring voltage collapse margin by measuring the area voltage across several transmission lines with synchrophasors
L. Ramirez, I. Dobson
  IEEE Power Engineering Society General Meeting, July 2014

Monitoring voltage collapse margin with synchrophasors across transmission corridors with multiple lines and multiple contingencies
L. Ramirez, I. Dobson
  preprint, December 2014

Threshold-based monitoring of cascading outages with PMU measurements of area angle
A. Darvishi, I. Dobson
  ArXiv preprint November 2014

also see oscillations and PMU

voltage collapse blackouts

Towards a theory of voltage collapse in electric power systems
I. Dobson, H.-D. Chiang
Systems and Control Letters, Vol. 13, 1989, pp. 253-262

On voltage collapse in electric power systems
H.-D. Chiang, I. Dobson, R.J. Thomas, J.S. Thorp, L. Fekih-Ahmed
IEEE Trans. Power Systems, Vol. 5, No. 2, May 1990, pp. 601-611

Observations on the geometry of saddle node bifurcation
and voltage collapse in electric power systems
I. Dobson
IEEE Trans. Circuits and Systems, Part 1, Vol. 39, No. 3, March 1992, pp. 240-243

Point of collapse methods applied to AC/DC power systems
C.A. Canizares, F.L. Alvarado, C.L. DeMarco, I. Dobson, W.F. Long
IEEE Trans. Power Systems, Vol. 7., No. 2, May 1992, pp. 673-683

Voltage collapse in power systems
I. Dobson, H. Glavitsch, C.C. Liu, Y. Tamura, K. Vu
IEEE Circuits and Devices Magazine, vol. 8, no. 3, May 1992, pp. 40-45

Voltage collapse precipitated by the immediate change in stability
when generator reactive power limits are encountered
I. Dobson, L. Lu
IEEE Trans. Circuits and Systems, Part 1, vol. 39, no. 9, Sept. 1992, pp. 762-766

Q-V Curve interpretations of energy measures for voltage security
T.J. Overbye, I. Dobson, C.L. DeMarco
IEEE Trans. Power Systems, vol. 9, no. 1, Feb. 1994, pp. 331-340

Chapter 2: Basic Theoretical Concepts
I. Dobson, T. Van Cutsem, C. Vournas, C. DeMarco,
M. Venkatasubramanian, T. Overbye, C. Canizares
in Voltage Stability Assessment: Concepts, Practices and Tools
IEEE PES Power system stability subcommittee special publication
IEEE product number SP101PSS, ISBN 0780378695, 2002.

loading margin to voltage collapse

Computing an optimum direction in control space to avoid saddle node bifurcation
and voltage collapse in electric power systems
I. Dobson, L. Lu
IEEE Trans. Automatic Control, vol 37, no. 10, October 1992, pp. 1616-1620

Sensitivity of the loading margin to voltage collapse with respect to arbitrary parameters
S. Greene, I. Dobson, F.L. Alvarado
IEEE Trans. Power Systems, vol. 12, no. 1, February 1997, pp. 262-272

Contingency ranking for voltage collapse via sensitivities from a single nose curve
S. Greene, I. Dobson, F.L. Alvarado
IEEE Trans. Power Systems, vol. 14, no. 1, February 1999, pp. 232-240

The irrelevance of electric power system dynamics for the
loading margin to voltage collapse and its sensitivities
  I. Dobson
Nonlinear Theory and its Applications, IEICE, vol. 2, no. 3, July 2011, pp. 263-280

closest bifurcations in voltage collapse

(also see closest bifurcations )

New methods for computing a closest saddle node bifurcation
and worst case load power margin for voltage collapse
I. Dobson, L. Lu
IEEE Trans. Power Systems, vol. 8, no. 3, August 1993, pp. 905-913

Computation of closest bifurcations in power systems
F.L. Alvarado, I. Dobson, Y. Hu
IEEE Trans. Power Systems, vol. 9, no. 2, May 1994, pp. 918-928

oscillations

(also see SSR )

Sensitivity of Hopf bifurcations to power system parameters
I. Dobson, F.L. Alvarado, C.L. DeMarco
31st IEEE Conference on Decision and Control, Tucson AZ, December 1992, pp. 2928-2933

Avoiding and suppressing oscillations, final report for PSerc project
I. Dobson, F.L. Alvarado, C.L. DeMarco, P. Sauer, S. Greene, H. Engdahl, J. Zhang
PSerc publication 00-01, December 1999, available from http://www.pserc.wisc.edu/

Is strong modal resonance a precursor to power system oscillations?
I. Dobson, J. Zhang, S. Greene, H. Engdahl, P.W. Sauer
IEEE Trans. Circuits and Systems, Part 1, vol. 48, no. 3, March 2001, pp. 340-349

Strong resonance effects in normal form analysis and subsynchronous resonance
I. Dobson
Bulk Power System Dynamics and Control V, August 26-31, 2001, Onomichi, Japan, pp. 563-574

Scaling of normal form analysis coefficients under coordinate change
I. Dobson, E. Barocio
IEEE Trans. Power Systems, vol. 19, no. 3, August 2004, pp. 1438-1444

Modifying eigenvalue interactions near weak resonance
V. Auvray, I. Dobson, L. Wehenkel
IEEE International Symposium Circuits & Systems, Vancouver Canada, May 2004, vol. 5, pp 992-995

Perturbations of weakly resonant power system electromechanical modes
I. Dobson, E. Barocio
IEEE Trans. Power Systems, vol. 20, no. 1, Feb. 2005, pp. 330-337

Counterexamples to a method for identifying Hopf bifurcations without eigenvalue calculation
J. Arroyo, I. Dobson
IEEE Trans. Circuits and Systems-II, vol. 54, no. 5, May 2007, pp. 432-434

Synchrony and your morning coffee
I. Dobson
News and Views article, Nature Physics, vol 9, no 3, March 2013, pp. 133-134

A  formula for damping interarea  oscillations with generator redispatch
Sarai Mendoza-Armenta, I. Dobson
IREP Symposium-Bulk Power System Dynamics and Control IX, August 2013, Rethymnon, Greece

available transfer capability

Sensitivity of transfer capability margins with a fast formula
S. Greene, I. Dobson, F.L. Alvarado
IEEE Trans. Power Systems, vol. 17, no. 1, pp. 34-40, February 2002

Transfer capability calculator and tutorial web site
I. Dobson, S. Greene, R. Rajaraman, F.L. Alvarado, C.L. DeMarco,
M. Glavic, A. DeSouza, R. Zimmerman, R.J. Thomas et al.

Electric power transfer capability: Concepts, applications, sensitivity, uncertainty
I. Dobson, S. Greene, R. Rajaraman, C.L. DeMarco, F.L. Alvarado,
M. Glavic, J. Zhang, R. Zimmerman, PSerc publication 01-34, November 2001

Quantifying transmission reliability margin
J. Zhang, I. Dobson, F.L. Alvarado
International Journal of Electrical Power and Energy Systems, vol. 26, no. 9, pp. 697-702, 2004
doi:10.1016/j.ijepes.2004.05.002

climate change

Impact of extreme weather on power system blackouts and forced outages: new challenges
M. Kezunovic, I. Dobson, Y. Dong
Balkan Power Conference, Šibenik Croatia, September 2008

Key technical challenges for the electric power industry and climate change 
L.M. Beard, J.B. Cardell, I. Dobson, F. Galvan, D. Hawkins, W. Jewell, M. Kezunovic,  T.J. Overbye, P.K. Sen, D.J. Tylavsky
IEEE Trans. Energy Conversion, vol. 25, no.  2, pp. 465-473, June 2010
.


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POWER ELECTRONICS

simulation

Representation and simulation of AC/DC convertor systems using fixed and varying electrical axes
I. Dobson
IEE Proceedings, Part A, Vol. 134, No. 1, pp. 67-83, January 1987

Geometric description of bridge rectifier operational modes using regular polygons,
I. Dobson
IEE Proceedings, Part A, Vol. 134, No. 1, pp. 85-88, January 1987

stability and nonlinear dynamics
(mainly utility power electronics)

Dynamic response of a thyristor controlled switched capacitor
S.G. Jalali, R.H. Lasseter, I. Dobson
IEEE Trans. Power Delivery, vol. 9, no. 3, July 1994, pp.1609-1615

Damping and resonance in a high power switching circuit
I. Dobson, S.G. Jalali, R. Rajaraman
chapter in Systems and Control Theory for Power Systems
(eds. J.H. Chow, P.V. Kokotovic, R.J. Thomas)
IMA volume 64 in mathematics and its applications, Springer Verlag, pp. 137-156, 1995

Damping and incremental energy in thyristor switching circuits
R. Rajaraman, I. Dobson
IEEE International Symposium on Circuits and Systems, Seattle, Washington, May 1995, pp.~291-294

Stability of ideal thyristor and diode switching circuits
I. Dobson
IEEE Trans. Circuits and Systems, Part 1, vol. 42, no. 9, September 1995, pp. 517-529

Switching time bifurcations in a thyristor controlled reactor
S.G. Jalali, I. Dobson, R.H. Lasseter, G. Venkataramanan
IEEE Trans. Circuits and Systems, Part 1, vol. 43, no. 3, March 1996, pp. 209-218

Nonlinear dynamics and switching time bifurcations of a thyristor controlled reactor circuit
R. Rajaraman, I. Dobson, S. Jalali
IEEE Trans. Circuits and Systems, Part 1, vol. 43, no. 12, December 1996, pp. 1001-1006

Stability and nonlinear dynamics in thyristor and diode circuits
I. Dobson
Chapter 6 in Nonlinear Phenomena in Power Electronics:
Attractors, Bifurcations, Chaos, and Nonlinear Control
(eds. S. Banerjee, G.C. Verghese), ISBN 0780353838, IEEE Press 2001


subsynchronous resonance

(also see oscillations )
Computing the damping of subsynchronous oscillations
due to a thyristor controlled series capacitor
R. Rajaraman, I. Dobson, R.H. Lasseter, Y. Shern
IEEE Trans. Power Delivery, vol. 11, no. 2, April 1996, pp. 1120--1127

Damping estimates of subsynchronous and power swing oscillations
in power systems with thyristor switching devices
R. Rajaraman, I. Dobson
IEEE Trans. Power Systems, vol. 11, no. 4, November 1996, pp. 1926-1930

Justification of torque per unit velocity methods of analyzing subsynchronous resonance
and a swing mode in power systems
R. Rajaraman, I. Dobson
IEEE Trans. Circuits and Systems, Part 1
vol. 45, no. 10, October 1998, pp. 1109-1113

sigma-delta modulators

Interpolative sigma delta modulators for high frequency power electronic applications,
G.A. Luckjiff, I. Dobson, D. Divan
Power Electronics Specialists Conference, Atlanta, Georgia, June 1995, pp. 444-449

Modulator for resonant link converters
D.M. Divan, I. Dobson, G.A. Luckjiff
US patent 5,619,406, April 1997

Hexagonal sigma-delta modulation
G.A. Luckjiff, I. Dobson
IEEE Trans. Circuits and Systems- Part 1, vol. 50, no. 8, August 2003, pp. 991-1005

Hexagonal sigma delta modulators in power electronics
G. Luckjiff, I. Dobson
IEEE Trans. Power Electronics, vol. 20, no. 5, September 2005, pp. 1075-1083

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NONLINEAR DYNAMICS

(also see topics in voltage collapse and power electronics )

fractal basin boundaries

Describing fractal basin boundaries in a forced oscillator
I. Dobson
PhD thesis, Cornell University, 1989. Advisor David F. Delchamps

Formation of a fractal basin boundary in a forced oscillator
I. Dobson
IEEE Trans. Circuits and Systems, Vol. 36, No. 6, pp. 866-872, June 1989

Truncated fractal basin boundaries in the pendulum with nonperiodic forcing
I. Dobson, D.F. Delchamps
Journal of Nonlinear Science, vol. 4, 1994, pp. 315-328

chaos and stability in artificial satellites

Closest bifurcation analysis and robust stability design of flexible satellites
A. Mazzoleni, I. Dobson
Journal of Guidance, Control and Dynamics, vol. 18, no. 2, March-April 1995, pp. 333-339

Instability tests, Liapunov's direct method and exact stability boundaries for flexible satellites
A. Mazzoleni, I. Dobson
Journal of Guidance, Control and Dynamics, vol. 18, no. 3, May-June 1995, pp. 426-432

Chaos in a spacecraft passive attitude maneuver due to time-periodic perturbations
G. Gray, I. Dobson, D.C. Kammer
Journal of Applied Mechanics, vol. 63, no. 2, June 1996, pp. 501-508

Heteroclinic bifurcations in rigid bodies containing internally moving parts and a viscous damper
G. Gray, D.C. Kammer, I. Dobson, A.J. Miller
Journal of Applied Mechanics, vol. 66, no. 3, September 1999, pp. 720-728

closest bifurcations

(also see applications to voltage collapse and satellites )

Computing a closest bifurcation instability in multidimensional parameter space
I. Dobson
Journal of Nonlinear Science, vol. 3, no. 3, 1993, pp. 307-327

Distance to bifurcation in multidimensional parameter space:
margin sensitivity and closest bifurcations

I. Dobson
chapter in Bifurcation Control, Theory and Application, editors G. Chen, D.J. Hill, X. Yu
Lecture Notes in Control and Information Sciences, Vol. 293
ISBN 3-540-40341-8, Springer Verlag 2003

miscellaneous

A first analysis of stability when a constraint on the system state is encountered
I. Dobson
International Symposium on Circuits and Systems, Singapore, June 1991, pp. 1224-1227

Mechanisms for nonthermal effects on ionic mobility during microwave processing of crystalline solids
J.H. Booske, R.F. Cooper, I. Dobson
Journal of Materials Research, vol. 7, no. 2, February 1992, pp. 495-501

traveling wave tube amplifiers

The multifrequency spectral Eulerian (MUSE) model of a traveling wave tube
J.G. Wohlbier, J.H. Booske, I. Dobson
IEEE Transactions on Plasma Science, vol. 30, no. 3, June 2002, pp. 1063-1075

Generation and growth rates of nonlinear distortions in a traveling wave tube
J.G. Wohlbier, I. Dobson, J.H. Booske
Physical Review E,  vol. 66, article 056504, November 2002

On the physics of harmonic injection in a traveling wave tube
J.G. Wohlbier, J.H. Booske, I. Dobson
IEEE Transactions on Plasma Science, vol. 32, no. 3, June 2004, pp. 1073-1085


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last updated December 10 2014