Stochastic Transmission Expansion Planning Considering Uncertain Dynamic Thermal Rating of Overhead Lines

Junpeng Zhan, Weijia Liu, C. Y. Chung

Research output: Journal article publicationJournal articleAcademic researchpeer-review

63 Citations (Scopus)


Dynamic thermal rating (DTR) is an important smart grid technology that can bring considerable economic benefits. One of the most important benefits of DTR is to postpone new investment. This paper proposes a novel stochastic transmission expansion planning (STEP) model considering the DTR of overhead lines. The objective function of the STEP model includes operational costs and the investment costs of new line construction and DTR systems installation. The model can determine where to build new lines and install DTR systems. The model cannot only realize the benefits that occur when the DTR is higher than the static thermal rating (STR) but also avoid overload risk, i.e., the power flow on a line being larger than the line's real capacity, caused by the DTR being lower than the STR. The model can consider both the voltage magnitude and phase angle of each bus. The model is linearized and therefore can be effectively solved by a Benders decomposition method. Furthermore, a new way of scenario reduction is proposed to obtain a better set of reduced scenarios. The effectiveness of the model is verified on a modified IEEE reliability test system and a modified IEEE 300-bus system.

Original languageEnglish
Article number8413105
Pages (from-to)432-443
Number of pages12
JournalIEEE Transactions on Power Systems
Issue number1
Publication statusPublished - Jan 2019
Externally publishedYes


  • Dynamic thermal rating (DTR)
  • overload risk
  • scenario reduction
  • static thermal rating (STR)
  • stochastic programming
  • transmission expansion planning (TEP)

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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