Journal
IEEE TRANSACTIONS ON POWER SYSTEMS
Volume 32, Issue 3, Pages 2473-2474Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPWRS.2016.2612881
Keywords
Gaussian mixture model; joint probability distribution; probabilistic load flow
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Funding
- National Natural Science Foundation of China [51190103]
- Foundation for Innovative Research Groups of National Natural Science Foundation of China [51321005]
- Special Fund of the National Basic Research Program (973) of China [2012CB215100]
- State Grid Ningxia Electric Power Company [5229DK14000Z]
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Adopting the Gaussian mixture model, we derive an analytical expression for the joint probability density function of active power on multiple transmission lines, in the presence of non-Gaussian stochastic power injections. The corresponding joint cumulative distribution function is further obtained by multiple integrals. Results of the proposed method coincide with that of Monte Carlo simulations.
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