Robust Optimal Dispatch of Power Systems with Wind Farm

Jinhua Zhang, Bo Gu, Hang Meng, Chentao Fu, Xueling Zhu


With the rapid development of new energy power generation, large-scale wind power generation has been integrated into
power grids. However, the fluctuation and discontinuity of wind power have introduced challenges to the safe and reliable
operation of power systems. Therefore, constructing a reasonable dispatching method considering the uncertainty of wind
power output has become an important topic. This study aims to establish a reasonable power system dispatching optimization
method considering the uncertainty of wind power output. Hence, an ellipsoidal robust set of wind power output
was initially constructed in accordance with the predicted value and predicted error of wind power. Second, a power system
optimization dispatch model of automatic generation control (AGC) was established on the basis of the robust set. This model
aimed to minimize the cost of power generation and maximize the use of wind power according to the following constraint
conditions: power system power balance, upper and lower limit of wind and thermal power unit outputs, climbing power, and
spinning reserve. Finally, the internal point method was employed to solve the example. Results show that on the premise
of safe operation, the total operating cost of the robust optimization dispatch method is decreased by 8.64% compared with
that of the traditional dispatch method, and the economic efficiency is improved. The robust optimal dispatch considers the
uncertainty of wind power output, and load shedding scene seldom occurs, thereby enhancing the operational reliability. This
study can improve the reliability and economics of power system operation and provide a basis for optimization dispatch of
power systems.

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Lina, A., and B., W. (2018) A review of the state-ofthe-

art in windenergy reliability analysis. Renewable

& Sustainable Energy Reviews, 81 (1), 1643{1651.

Yusheng, X., L, X., X, F., and al., et (2014) A review

on impacts of wind power uncertainties on power systems.

Proceedings of the Csee, 34 (29), 5029{5040.

Yoshida, K., S, N., S, T., and al., et (2017) A dispatch

operation method of wind farm to deal with

ramp events and evaluation of required battery capacity.

IEEE Transactions on Power & Energy, 137

(10), 687{696.

Murage, M.W., and Anderson, C.L. (2014) Contribution

of pumped hydro storage to integration of

wind power in kenya: An optimal control approach.

Renewable Energy, 63, 698{707.

Billinton, R., and Huang, D. (2011) Incorporating

wind power in generating capacity reliability evaluation

using dierent models. IEEE Transactions on

Power Systems, 26 (4), 2509{2517.

Chun-Lung, C. (2008) Optimal wind-thermal generating

unit commitment. IEEE Transactions on Energy

Conversion, 23 (1), 273{280.

Moyano, C.F., and Lopes, J.A.P. (2009) An optimization

approach for wind turbine commitment and

dispatch in a wind park. Electric Power Systems Re-

search, 79 (1), 71{79.

Wenmeng, Z., Mingbo, L., Jianquan, Z., and al, et

(2015) Abileve decomposition and coordination economic

dispatch method for powe plants network considering

stochastic wind generation. Power System

Technology, 39 (7), 1847{1854.

Jianfang, T., Yashan, M., Qiaozhu, Z., and al, et

(2015) Security constrained unit commitment with

wind power based on evaluation of wind power penetration

capacity. Power System Technology, 39 (9),


Jun, X., Lu W, X.F.U., and al, et (2016) Reactive

power planning with consideration of wind

power probability distribution uncertainty for distribution

network. Electric Power Automation Equipment,

(6), 40{47.

Yida, Y., L, W., Q, Y., and al, et (2017) Optimal

method of improving wind power accommodation

by nonparametric conditional probabilistic forecasting.

Power System Technology, 41 (5), 1443{1450.

XinYi, Z., Q, Y.J., and J, Z.X. (2017) Dynamic

economic dispatch incorporating multiple wind

farms based on t simplied chance constrained programming.

Journal of Zhejiang University, 51 (5),


Alismail, F., Xiong, P., and Singh, C. (2018) Optimal

wind farm allocation in multi-area power systems

using distributionally robust optimization approach.

IEEE Transactions on Power Systems, 33

(1), 536{544.

Fan, L., K, W., U, W.W., and al, et (2017) A

study of multi-time scale robust schedule and dispatch

methodology. Power System Technology, 41

(5), 1576{1582.

Chen, H., Xuan, P., Wang, Y., Tan, K., and Jin, X.

(2016) Key technologies for integration of multitype

renewable energy sources-research on multi-timeframe

robust scheduling/dispatch. IEEE Transactions on

Smart Grid, 7 (1), 471{480.

Cobos, N.G., Arroyo, J.M., Alguacil, N., and

Street, A. (2019) Robust energy and reserve scheduling

under wind uncertainty considering fast-acting

generators. IEEE Transactions on Sustainable Energy,

(4), 2142{2151.

Methaprayoon, K., Lee, W.J., Yingvivatanapong,

C., and Liao, J. (2007) An integration of ANN wind

power estimation into UC considering the forecasting

uncertainty. IEEE Systems Technical Conference on

Industrial and Commercial Power, 43.

Doherty, R., and OMalley, M. (2005) A new approach

to quantify reserve demand in systems with

signicant installed wind capacity. IEEE Transactions

on Power Systems, 20 (2), 587{595.

Attarha, A., Amjady, N., Dehghan, S., and

Vatani, B. (2018) Adaptive robust self-scheduling

for a wind producer with compressedair energy storage.

IEEE Transactions on Sustainable Energy, 9 (4),


Holttinen, H., Milligan, M., Kirby, B., Acker, T.,

Neimane, V., and Molinski, T. (2008) Using standard

deviation as a measure of increased operational reserve

requirement for wind power. Wind Engineering,

(4), 355{377.

Black, M., and Strbac, G. (2007) Value of bulk

energy storage for managing wind power uctuations.

IEEE Transactions on Energy Conversion, 22 (1),


Ortega-Vazquez, M.A., and Kirschen, D.S. (2009)

Estimating the spinning reserve requirements in systems

with signicant wind power generation penetration.

IEEE Transactions on Power Systems, 24 (1),


LI, R., H, Z., J, L., and al, et (2016) A robust and

economic dispatch methodology for interconnected

power system by considering the uncertainty of wind

power. Modern Electric Power, (4), 15{22.

Yu, S.H.U.I., J, L., H, G., and al, et (2018) Twostage

distributed robust cooperative dispatch for integrated

electricity and natural gas energy systems

considering uncertainty of wind power. Automation

of Electric Power Systems, 42 (13), 43{50+75.

Wang, B., N, T., S, Z., and al, et (2017) Stochastic

& adjustable robust hybrid dispatch model of

power system considering demand response's participation

in large-scale wind power consumption. Pro-

ceedings of the Csee, 37 (21), 6339{6346.

Sun, J., B, L., F, L., and al, et (2014) Modeling

and evaluation of uncertainty set considering wind

power prediction error correlation. Automation of

Electric Power Systems, 38 (18), 27{32 +98.

Ilak, P., Rajsl, I., akovi´c, J., and Delimar, M.

(2018) Duality based risk mitigation method for construction

of joint hydro-wind coordination short-run

marginal cost curves. Energies, 11 (5), 1254.

WU, W., K, W., LI, G., and al, et (2017) Modeling

ellipsoidal uncertainty set considering conditional

correlation of wind power generation. Proceedings of

the Csee, 37 (9), 2500{2506.

Grant, M., Boyd, S., and Ye, Y. (2007) Disciplined

convex programming. Nonconvex Optimization & Its

Applications, Kluwer Academic Publishers.

Li, Z., Wu, W., and Zhang, B. (2014) A robust

interval economic dispatch method accommodating

large-scale wind power generation. part one: Dispatch

scheme and mathematical model. Automation

of Electric Power Systems, 38 (20), 33{39.

Behera, S., Sahoo, S., and Pati, B.B. (2015) A

review on optimization algorithms and application to

wind energy integration to grid. Renewable and Sus-

tainable Energy Reviews, 48, 214{227.

Qianwen, Z., X, W., T, Y., and al, et (2017) A robust

dispatch method for power grid with wind farms.

Power System Technology, 41 (5), 1451{1459.

Yan, J. (2014) Uncertainty of Wind Power Forecasting

and Power System Economic Dispatch.

Chen, J., Wu, W., Zhang, B., and al, et (2014)

A robust interval wind power dispatch method considering

the tradeo between security and economy.

Proceedings of the CSEE, 34 (7), 1033{1040.


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