Stochastic Small-Signal Stability of Power Systems With Wind Power Generation

Author

Bo Yuan ; Ming Zhou ; Gengyin Li ; Xiao-Ping Zhang

Author_Institution

State Key Lab. for Alternate Electr. Power Syst. with Renewable Energy Sources, North China Electr. Power Univ., Beijing, China

Volume

30

Issue

4

fYear

2015

fDate

Jul-15

Firstpage

1680

Lastpage

1689

Abstract

Wind power has had a significant impact on power system stability due to its stochastic nature. In this paper, the impact of stochastic excitation on power-system small-signal stability is investigated based on stochastic differential equation (SDE) theory. The mechanical power input of an asynchronous wind turbine is considered as a stochastic excitation to the system and the system state equation is formulated based on SDE. The mean stability and mean square stability of such a system are demonstrated, and the steady-state expectation and covariance of the system state variables are obtained by mathematical deduction. The numerical simulations are presented on a two-machine infinite bus system and the IEEE 145-bus test system.

Keywords

IEEE standards; differential equations; mean square error methods; power system stability; stochastic processes; wind power plants; wind turbines; IEEE 145-bus test system; asynchronous wind turbine; mean square stability; mean stability; numerical simulations; power system stability; stochastic differential equation theory; stochastic small-signal stability; two-machine infinite bus system; wind power generation; Indium tin oxide; Mathematical model; Numerical stability; Power system stability; Stability criteria; Stochastic processes; Asynchronous wind turbine; Ito formula; Ito integral; stochastic differential equation (SDE); stochastic mechanical power; stochastic small-signal stability;

fLanguage

English

Journal_Title

Power Systems, IEEE Transactions on

Publisher

ieee

ISSN

0885-8950

Type

jour

DOI

10.1109/TPWRS.2014.2353014

Filename

6901297