Optimal Power Flow Design for Enhancing Dynamic Performance: Potentials of Reactive Power

Masaki Inoue, Tomonori Sadamoto, Mitsuru Arahata, Aranya Chakrabortty

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


We present a new optimal power flow (OPF) design that not only optimizes fuel cost but also enhances dynamic performance of a power system. Performance is quantified by the H2-norm of the transfer matrix from any disturbance input to a set of performance outputs, which in this case are chosen as the frequencies of the generators. The H2-norm models the attenuation of the frequency amplitudes following the disturbance, and thereby quantifies the amount of damping torque induced on the tie-line flows. The method, referred to as H2-power flow modification (H2-PFM) is carried out in twosteps. First, the regular OPF is solved to obtain the optimal generator setpoints for active and reactive power dispatch. Second, the load setpoints are re-tuned to minimize the aforesaid H2-norm while keeping the generator setpoints fixed. In particular, manipulating the load reactive power in this way is found to reduce the norm remarkably, improving disturbance attenuation and damping. A gradient descent algorithm is proposed for this minimization. Results are validated using the 68-bus test system with a solar farm.

Original languageEnglish
Article number9178325
Pages (from-to)599-611
Number of pages13
JournalIEEE Transactions on Smart Grid
Issue number1
Publication statusPublished - 2021 Jan


  • Power flow design
  • damping performance
  • reactive power design

ASJC Scopus subject areas

  • General Computer Science


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