Citation
Jennifer Marley, Daniel Molzahn, Ian Hiskens. "Solving Multiperiod OPF Problems using an AC-QP Algorithm Initialized with an SOCP Relaxation". IEEE Transactions on Power Systems, 2017.

Abstract
Renewable generation and energy storage are playing an ever increasing role in power systems. Hence, there is a growing need for integrating these resources into the optimal power flow (OPF) problem. While storage devices are important for mitigating renewable variability, they introduce temporal coupling in the OPF constraints, resulting in a multiperiod OPF formulation. This paper explores a solution method for multiperiod AC OPF that combines a successive quadratic programming approach (AC-QP) with a second-order cone programming (SOCP) relaxation of the OPF problem. The SOCP relaxation’s solution is used to initialize the AC-QP OPF algorithm. Additionally, the lower bound on the objective value obtained from the SOCP relaxation provides a measure of solution quality. This combined method is demonstrated on several test cases with up to 4259 nodes and a time horizon of 8 time steps. A comparison of initialization schemes indicates that the SOCP-based approach offers improved convergence rate, execution time and solution quality.

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• HTML

  Jennifer Marley, Daniel Molzahn, Ian Hiskens. <a
  href="http://www.cps-forces.org/pubs/221.html"
  >Solving Multiperiod OPF Problems using an AC-QP
  Algorithm Initialized with an SOCP Relaxation</a>,
  <i>IEEE Transactions on Power Systems</i>,  2017.

• Plain text

  Jennifer Marley, Daniel Molzahn, Ian Hiskens. "Solving
  Multiperiod OPF Problems using an AC-QP Algorithm
  Initialized with an SOCP Relaxation". <i>IEEE
  Transactions on Power Systems</i>,  2017.

• BibTeX

  @article{MarleyMolzahnHiskens17_SolvingMultiperiodOPFProblemsUsingACQPAlgorithmInitialized,
      author = {Jennifer Marley and Daniel Molzahn and Ian Hiskens},
      title = {Solving Multiperiod OPF Problems using an AC-QP
                Algorithm Initialized with an SOCP Relaxation},
      journal = {IEEE Transactions on Power Systems},
      year = {2017},
      abstract = {Renewable generation and energy storage are
                playing an ever increasing role in power systems.
                Hence, there is a growing need for integrating
                these resources into the optimal power flow (OPF)
                problem. While storage devices are important for
                mitigating renewable variability, they introduce
                temporal coupling in the OPF constraints,
                resulting in a multiperiod OPF formulation. This
                paper explores a solution method for multiperiod
                AC OPF that combines a successive quadratic
                programming approach (AC-QP) with a second-order
                cone programming (SOCP) relaxation of the OPF
                problem. The SOCP relaxation’s solution is used
                to initialize the AC-QP OPF algorithm.
                Additionally, the lower bound on the objective
                value obtained from the SOCP relaxation provides a
                measure of solution quality. This combined method
                is demonstrated on several test cases with up to
                4259 nodes and a time horizon of 8 time steps. A
                comparison of initialization schemes indicates
                that the SOCP-based approach offers improved
                convergence rate, execution time and solution
                quality.},
      URL = {http://cps-forces.org/pubs/221.html}
  }
  

Posted by Ian Hiskens on 28 Feb 2017.
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