Systems and methods for convex relaxations and linear approximations for optimal power flow in multiphase radial networks

Title: Systems and methods for convex relaxations and linear approximations for optimal power flow in multiphase radial networks

Abstract

Centralized node controllers in accordance with embodiments of the invention enable linear approximation of optimal power flow. One embodiment includes a centralized node controller including: a network interface, a processor, and a memory containing: a centralized power control application a network topology, where the network is multiphase unbalanced and comprises a plurality of connected nodes; wherein the processor is configured by the centralized controller application to: request node operating parameters from the plurality of connected nodes; calculate network operating parameters using a linear approximation of optimal power flow and the node operating parameters from the plurality of connected nodes; send network operating parameters to the plurality of connected nodes.

Inventors:: Gan, Lingwen; Low, Steven H.

Issue Date:: 2019-02-05

Research Org.:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1502369

Patent Number(s):: 10198018

Application Number:: 4/724,757

Assignee:: California Institute of Technology (Pasadena, CA)

Patent Classifications (CPCs):: Y - NEW / CROSS SECTIONAL TECHNOLOGIES Y04 - INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS Y04S - SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS

G - PHYSICS G05 - CONTROLLING G05B - CONTROL OR REGULATING SYSTEMS IN GENERAL

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Y - NEW / CROSS SECTIONAL TECHNOLOGIES Y04 - INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS Y04S - SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
Y04S20/00 - Systems supporting the management or operation of end-user stationary applications, including also the last stages of power distribution and the control, monitoring or operating management systems at local level

G - PHYSICS G05 - CONTROLLING G05B - CONTROL OR REGULATING SYSTEMS IN GENERAL
G05B15/02 - electric

H - ELECTRICITY H02 - GENERATION H02J - CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER
H02J13/00034 - {the elements or equipment being or involving an electric power substation}

Y - NEW / CROSS SECTIONAL TECHNOLOGIES Y02 - TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE Y02E - REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
Y02E40/70 - Systems integrating technologies related to power network operation and communication or information technologies for improving the carbon footprint of electrical power generation, transmission or distribution, i.e. smart grids as climate change mitigation technology in the energy generation sector
Y02E60/00 - Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation

Y - NEW / CROSS SECTIONAL TECHNOLOGIES Y04 - INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS Y04S - SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
Y04S10/52 - Outage or fault management

G - PHYSICS G06 - COMPUTING G06Q - DATA PROCESSING SYSTEMS OR METHODS, SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL, SUPERVISORY OR FORECASTING PURPOSES
G06Q50/06 - Electricity, gas or water supply

Y - NEW / CROSS SECTIONAL TECHNOLOGIES Y02 - TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE Y02B - CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
Y02B90/20 - Systems integrating technologies related to power network operation and communication or information technologies mediating in the improvement of the carbon footprint of the management of residential or tertiary loads, i.e. smart grids as enabling technology in buildings sector

Y - NEW / CROSS SECTIONAL TECHNOLOGIES Y04 - INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS Y04S - SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
Y04S40/20 - Information technology specific aspects

G - PHYSICS G05 - CONTROLLING G05F - SYSTEMS FOR REGULATING ELECTRIC OR MAGNETIC VARIABLES
G05F1/66 - Regulating electric power

H - ELECTRICITY H02 - GENERATION H02J - CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER
H02J2203/20 - Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
H02J13/0006 - {for single frequency AC networks}
H02J13/0093 - {for AC networks with plurality frequencies}

Y - NEW / CROSS SECTIONAL TECHNOLOGIES Y04 - INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS Y04S - SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
Y04S10/50 - Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

H - ELECTRICITY H02 - GENERATION H02J - CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER
H02J3/0073 - {for providing alternative feeding paths between load and source when the main path fails, e.g. transformers, busbars}

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DOE Contract Number:: AR0000226

Resource Type:: Patent

Resource Relation:: Patent File Date: 0015 May 28

Country of Publication:: United States

Language:: English

Subject:: 97 MATHEMATICS AND COMPUTING

Citation Formats


                    Gan, Lingwen, and Low, Steven H. Systems and methods for convex relaxations and linear approximations for optimal power flow in multiphase radial networks.  United States: N. p., 2019. 
        Web.

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                    Gan, Lingwen, & Low, Steven H. Systems and methods for convex relaxations and linear approximations for optimal power flow in multiphase radial networks.  United States.

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                    Gan, Lingwen, and Low, Steven H. Tue .  
        "Systems and methods for convex relaxations and linear approximations for optimal power flow in multiphase radial networks".  United States.  https://www.osti.gov/servlets/purl/1502369.

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@article{osti_1502369,

  title        = {Systems and methods for convex relaxations and linear approximations for optimal power flow in multiphase radial networks},

  author       = {Gan, Lingwen and Low, Steven H.},

  abstractNote = {Centralized node controllers in accordance with embodiments of the invention enable linear approximation of optimal power flow. One embodiment includes a centralized node controller including: a network interface, a processor, and a memory containing: a centralized power control application a network topology, where the network is multiphase unbalanced and comprises a plurality of connected nodes; wherein the processor is configured by the centralized controller application to: request node operating parameters from the plurality of connected nodes; calculate network operating parameters using a linear approximation of optimal power flow and the node operating parameters from the plurality of connected nodes; send network operating parameters to the plurality of connected nodes.},

  doi          = {},

  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {2019},

  month        = {2}

}

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Convex Relaxation of Optimal Power Flow—Part II: Exactness
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Similar Records

Title: Systems and methods for convex relaxations and linear approximations for optimal power flow in multiphase radial networks

Abstract

Citation Formats

Further developments in LP-based optimal power flow journal, January 1990

Local Control of Reactive Power by Distributed Photovoltaic Generators conference, October 2010

Network reconfiguration in distribution systems for loss reduction and load balancing journal, April 1989

A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches journal, January 1999

Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones journal, January 1999

A Primal-Dual Interior-Point Method to Solve the Optimal Power Flow Dispatching Problem journal, December 2003

Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework journal, January 2001

A survey of the optimal power flow literature journal, May 1991

Inverter VAR control for distribution systems with renewables conference, October 2011

Convex Relaxation of Optimal Power Flow—Part II: Exactness journal, June 2014

Optimal inverter VAR control in distribution systems with high PV penetration conference, July 2012

Interior-point based algorithms for the solution of optimal power flow problems journal, April 2007

A trust region interior point algorithm for optimal power flow problems journal, May 2005

An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates journal, January 1998

Distribution system power flow analysis-a rigid approach journal, July 1991

Semidefinite programming for optimal power flow problems journal, July 2008

DC Power Flow Revisited journal, August 2009

Optimal power flow: a bibliographic survey I: Formulations and deterministic methods journal, April 2012

A three-phase power flow method for real-time distribution system analysis journal, May 1995

Fast Decoupled Load Flow journal, May 1974

Convex relaxations and linear approximation for optimal power flow in multiphase radial networks conference, August 2014

Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence journal, March 2014

Mechanized Calculation of Unbalanced Load Flow on Radial Distribution Circuits journal, April 1967

Power flow control approach to power systems with embedded FACTS devices journal, November 2002

Decoupled Optimal Load Flow Using Linear or Quadratic Programming journal, January 1986

Robust Optimal Power Flow Solution Using Trust Region and Interior-Point Methods journal, May 2011

Zero Duality Gap in Optimal Power Flow Problem journal, February 2012

Logarithmic barrier-augmented Lagrangian function to the optimal power flow problem journal, September 2005

Distributed Optimal Power Flow for Smart Microgrids journal, September 2013

Radial Distribution Load Flow Using Conic Programming journal, August 2006

Further developments in LP-based optimal power flow
journal, January 1990

Local Control of Reactive Power by Distributed Photovoltaic Generators
conference, October 2010

Network reconfiguration in distribution systems for loss reduction and load balancing
journal, April 1989

A review of selected optimal power flow literature to 1993. I. Nonlinear and quadratic programming approaches
journal, January 1999

Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
journal, January 1999

A Primal-Dual Interior-Point Method to Solve the Optimal Power Flow Dispatching Problem
journal, December 2003

Exploiting Sparsity in Semidefinite Programming via Matrix Completion I: General Framework
journal, January 2001

A survey of the optimal power flow literature
journal, May 1991

Inverter VAR control for distribution systems with renewables
conference, October 2011

Convex Relaxation of Optimal Power Flow—Part II: Exactness
journal, June 2014

Optimal inverter VAR control in distribution systems with high PV penetration
conference, July 2012

Interior-point based algorithms for the solution of optimal power flow problems
journal, April 2007

A trust region interior point algorithm for optimal power flow problems
journal, May 2005

An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates
journal, January 1998

Distribution system power flow analysis-a rigid approach
journal, July 1991

Semidefinite programming for optimal power flow problems
journal, July 2008

DC Power Flow Revisited
journal, August 2009

Optimal power flow: a bibliographic survey I: Formulations and deterministic methods
journal, April 2012

A three-phase power flow method for real-time distribution system analysis
journal, May 1995

Fast Decoupled Load Flow
journal, May 1974

Convex relaxations and linear approximation for optimal power flow in multiphase radial networks
conference, August 2014

Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence
journal, March 2014

Mechanized Calculation of Unbalanced Load Flow on Radial Distribution Circuits
journal, April 1967

Power flow control approach to power systems with embedded FACTS devices
journal, November 2002

Decoupled Optimal Load Flow Using Linear or Quadratic Programming
journal, January 1986

Robust Optimal Power Flow Solution Using Trust Region and Interior-Point Methods
journal, May 2011

Zero Duality Gap in Optimal Power Flow Problem
journal, February 2012

Logarithmic barrier-augmented Lagrangian function to the optimal power flow problem
journal, September 2005

Distributed Optimal Power Flow for Smart Microgrids
journal, September 2013

Radial Distribution Load Flow Using Conic Programming
journal, August 2006