Abstract:
With increasingly large scale of intermittent and non-dispatchable resources being integrated into power systems, the power flow problem presents greater uncertainty. In ...Show MoreMetadata
Abstract:
With increasingly large scale of intermittent and non-dispatchable resources being integrated into power systems, the power flow problem presents greater uncertainty. In order to obtain the upper and lower bounds of power flow solutions including voltage magnitudes, voltage angles and line flows, Cartesian coordinates-based power flow is utilized in this paper. A quadratically constrained quadratic programming (QCQP) model is then established to formulate the interval power flow problem. This non-convex QCQP model is relaxed to linear programming problem by introducing convex and concave enclosures of the original feasible region. To improve the solutions bounds while still encompassing the true interval solution, optimality-based bounds tightening (OBBT) method is employed to find a better outer hull of the feasible region. Numerical results on IEEE 9-bus, 30-bus, 57-bus, and 118-bus test systems validate the effectiveness of the proposed method.
Published in: IEEE Transactions on Power Systems ( Volume: 30, Issue: 1, January 2015)
Department of Electrical Engineering and Computer Science, The University of Tennessee, Knoxville, TN, USA
Department of Electrical Engineering, Tsinghua University, Beijing, China
Tao Ding (S'13) received the B.Eng. and M.S. degrees in electric power engineering from Southeast University, China, in 2009 and 2012, respectively. Presently, he is pursuing the Ph.D. degree at Tsinghua University, China.
He is now a visiting scholar with the Department of Electrical Engineering and Computer Science, The University of Tennessee, Knoxville, TN, USA. His current research interests include power system econo...Show More
Tao Ding (S'13) received the B.Eng. and M.S. degrees in electric power engineering from Southeast University, China, in 2009 and 2012, respectively. Presently, he is pursuing the Ph.D. degree at Tsinghua University, China.
He is now a visiting scholar with the Department of Electrical Engineering and Computer Science, The University of Tennessee, Knoxville, TN, USA. His current research interests include power system econo...View more
Midcontinent Independent Transmission System Operator (MISO), Eagan, MN, USA
Rui Bo (S'02–M'09–SM'10) received the B.S. and M.S. degrees in electric power engineering from Southeast University, China, in 2000 and 2003, respectively, and the Ph.D. degree from the University of Tennessee, Knoxville, TN, USA, in 2009.
He worked at ZTE Corporation and Shenzhen Cermate Inc. from 2003 to 2005. He has been employed at Midcontinent Independent Transmission System Operator (MISO) since 2009. His interests i...Show More
Rui Bo (S'02–M'09–SM'10) received the B.S. and M.S. degrees in electric power engineering from Southeast University, China, in 2000 and 2003, respectively, and the Ph.D. degree from the University of Tennessee, Knoxville, TN, USA, in 2009.
He worked at ZTE Corporation and Shenzhen Cermate Inc. from 2003 to 2005. He has been employed at Midcontinent Independent Transmission System Operator (MISO) since 2009. His interests i...View more
Department of Electrical Engineering and Computer Science, The University of Tennessee, Knoxville, TN, USA
Fangxing Li (M'01–SM'05) received the B.S.E.E. and M.S.E.E. degrees from Southeast University, China, in 1994 and 1997, respectively, and the Ph.D. degree from Virginia Tech, Blacksburg, VA, USA, in 2001.
He is presently an Associate Professor at The University of Tennessee, Knoxville, TN, USA (UTK). Prior to joining UTK, he had worked at ABB Consulting as a senior engineer and then a principal engineer from 2001 to 2005. ...Show More
Fangxing Li (M'01–SM'05) received the B.S.E.E. and M.S.E.E. degrees from Southeast University, China, in 1994 and 1997, respectively, and the Ph.D. degree from Virginia Tech, Blacksburg, VA, USA, in 2001.
He is presently an Associate Professor at The University of Tennessee, Knoxville, TN, USA (UTK). Prior to joining UTK, he had worked at ABB Consulting as a senior engineer and then a principal engineer from 2001 to 2005. ...View more
Department of Electrical Engineering, Tsinghua University, Beijing, China
Qinglai Guo (M'09) was born in Jilin City, China, on March 6, 1979. He received the B.S. degree from the Department of Electrical Engineering, Tsinghua University, Beijing, China, in 2000 and the Ph.D. degree from Tsinghua University in 2005.
He is now an Associate Professor at Tsinghua University. He is a member of CIGRE C2.13 Task Force on Voltage/Var support in System Operations. His special fields of interest include t...Show More
Qinglai Guo (M'09) was born in Jilin City, China, on March 6, 1979. He received the B.S. degree from the Department of Electrical Engineering, Tsinghua University, Beijing, China, in 2000 and the Ph.D. degree from Tsinghua University in 2005.
He is now an Associate Professor at Tsinghua University. He is a member of CIGRE C2.13 Task Force on Voltage/Var support in System Operations. His special fields of interest include t...View more
Department of Electrical Engineering, Tsinghua University, Beijing, China
Hongbin Sun (SM'12) received the double B.S. degrees and Ph.D. degree from Tsinghua University, Beijing, China, in 1992 and 1997, respectively.
He is now Changjiang Chair Professor of Education Ministry of China, full professor of electrical engineering in Tsinghua University, and assistant director of State Key Laboratory of Power Systems in China. From September 2007 to September 2008, he was a visiting professor with th...Show More
Hongbin Sun (SM'12) received the double B.S. degrees and Ph.D. degree from Tsinghua University, Beijing, China, in 1992 and 1997, respectively.
He is now Changjiang Chair Professor of Education Ministry of China, full professor of electrical engineering in Tsinghua University, and assistant director of State Key Laboratory of Power Systems in China. From September 2007 to September 2008, he was a visiting professor with th...View more
Southeast University, School of Electrical Engineering, Nanjing, China
Wei Gu (M'06) received the B.Eng. degree and the Ph.D. degree in electrical engineering from Southeast University, China, in 2001 and 2006, respectively.
He is now an Associate Professor in the School of Electrical Engineering, Southeast University. His research interests include power system stability and control, smart grid, renewable energy technology and power quality.
Wei Gu (M'06) received the B.Eng. degree and the Ph.D. degree in electrical engineering from Southeast University, China, in 2001 and 2006, respectively.
He is now an Associate Professor in the School of Electrical Engineering, Southeast University. His research interests include power system stability and control, smart grid, renewable energy technology and power quality.View more
Southeast University, School of Electrical Engineering, Nanjing, China
Gan Zhou (M'09) received the B.Sc. (Eng.) degree in automation from the Nanjing University of Science and Technology, Nanjing, China, in 2000, and the M.Sc. (Eng.) and Ph.D. degrees in electrical engineering from Southeast University, Nanjing, China, in 2003 and 2009, respectively.
He is now an Associate Professor in the School of Electrical Engineering, Southeast University. His current research interests include power sy...Show More
Gan Zhou (M'09) received the B.Sc. (Eng.) degree in automation from the Nanjing University of Science and Technology, Nanjing, China, in 2000, and the M.Sc. (Eng.) and Ph.D. degrees in electrical engineering from Southeast University, Nanjing, China, in 2003 and 2009, respectively.
He is now an Associate Professor in the School of Electrical Engineering, Southeast University. His current research interests include power sy...View more
Contents Department of Electrical Engineering and Computer Science, The University of Tennessee, Knoxville, TN, USA
Department of Electrical Engineering, Tsinghua University, Beijing, China
Tao Ding (S'13) received the B.Eng. and M.S. degrees in electric power engineering from Southeast University, China, in 2009 and 2012, respectively. Presently, he is pursuing the Ph.D. degree at Tsinghua University, China.
He is now a visiting scholar with the Department of Electrical Engineering and Computer Science, The University of Tennessee, Knoxville, TN, USA. His current research interests include power system economics and optimization methods, power system voltage stability, and control.
Tao Ding (S'13) received the B.Eng. and M.S. degrees in electric power engineering from Southeast University, China, in 2009 and 2012, respectively. Presently, he is pursuing the Ph.D. degree at Tsinghua University, China.
He is now a visiting scholar with the Department of Electrical Engineering and Computer Science, The University of Tennessee, Knoxville, TN, USA. His current research interests include power system economics and optimization methods, power system voltage stability, and control.View more
Midcontinent Independent Transmission System Operator (MISO), Eagan, MN, USA
Rui Bo (S'02–M'09–SM'10) received the B.S. and M.S. degrees in electric power engineering from Southeast University, China, in 2000 and 2003, respectively, and the Ph.D. degree from the University of Tennessee, Knoxville, TN, USA, in 2009.
He worked at ZTE Corporation and Shenzhen Cermate Inc. from 2003 to 2005. He has been employed at Midcontinent Independent Transmission System Operator (MISO) since 2009. His interests include power system operation and planning, power system economics, and computational methods.
Rui Bo (S'02–M'09–SM'10) received the B.S. and M.S. degrees in electric power engineering from Southeast University, China, in 2000 and 2003, respectively, and the Ph.D. degree from the University of Tennessee, Knoxville, TN, USA, in 2009.
He worked at ZTE Corporation and Shenzhen Cermate Inc. from 2003 to 2005. He has been employed at Midcontinent Independent Transmission System Operator (MISO) since 2009. His interests include power system operation and planning, power system economics, and computational methods.View more
Department of Electrical Engineering and Computer Science, The University of Tennessee, Knoxville, TN, USA
Fangxing Li (M'01–SM'05) received the B.S.E.E. and M.S.E.E. degrees from Southeast University, China, in 1994 and 1997, respectively, and the Ph.D. degree from Virginia Tech, Blacksburg, VA, USA, in 2001.
He is presently an Associate Professor at The University of Tennessee, Knoxville, TN, USA (UTK). Prior to joining UTK, he had worked at ABB Consulting as a senior engineer and then a principal engineer from 2001 to 2005. His current interests include renewable energy integration, power markets, distributed energy resources, and smart grid.
Dr. Li is a registered Professional Engineer in North Carolina, an Editor of the IEEE Transactions on Sustainable Energy, and a Fellow of IET.
Fangxing Li (M'01–SM'05) received the B.S.E.E. and M.S.E.E. degrees from Southeast University, China, in 1994 and 1997, respectively, and the Ph.D. degree from Virginia Tech, Blacksburg, VA, USA, in 2001.
He is presently an Associate Professor at The University of Tennessee, Knoxville, TN, USA (UTK). Prior to joining UTK, he had worked at ABB Consulting as a senior engineer and then a principal engineer from 2001 to 2005. His current interests include renewable energy integration, power markets, distributed energy resources, and smart grid.
Dr. Li is a registered Professional Engineer in North Carolina, an Editor of the IEEE Transactions on Sustainable Energy, and a Fellow of IET.View more
Department of Electrical Engineering, Tsinghua University, Beijing, China
Qinglai Guo (M'09) was born in Jilin City, China, on March 6, 1979. He received the B.S. degree from the Department of Electrical Engineering, Tsinghua University, Beijing, China, in 2000 and the Ph.D. degree from Tsinghua University in 2005.
He is now an Associate Professor at Tsinghua University. He is a member of CIGRE C2.13 Task Force on Voltage/Var support in System Operations. His special fields of interest include the EMS advanced applications, especially the automatic voltage control.
Qinglai Guo (M'09) was born in Jilin City, China, on March 6, 1979. He received the B.S. degree from the Department of Electrical Engineering, Tsinghua University, Beijing, China, in 2000 and the Ph.D. degree from Tsinghua University in 2005.
He is now an Associate Professor at Tsinghua University. He is a member of CIGRE C2.13 Task Force on Voltage/Var support in System Operations. His special fields of interest include the EMS advanced applications, especially the automatic voltage control.View more
Department of Electrical Engineering, Tsinghua University, Beijing, China
Hongbin Sun (SM'12) received the double B.S. degrees and Ph.D. degree from Tsinghua University, Beijing, China, in 1992 and 1997, respectively.
He is now Changjiang Chair Professor of Education Ministry of China, full professor of electrical engineering in Tsinghua University, and assistant director of State Key Laboratory of Power Systems in China. From September 2007 to September 2008, he was a visiting professor with the School of Electrical Engineering and Computer Science at the Washington State University, Pullman, WA, USA. In the past 15 years, he has developed a commercial system-wide automatic voltage control systems which has been applied to over 30 large-scale power grids in China. He published more than 300 academic papers. He held over 50 patents in China. His interests include smart grid, renewable energy and electrical vehicle integration, power system operation, and control.
Prof. Sun is an IET Fellow.
Hongbin Sun (SM'12) received the double B.S. degrees and Ph.D. degree from Tsinghua University, Beijing, China, in 1992 and 1997, respectively.
He is now Changjiang Chair Professor of Education Ministry of China, full professor of electrical engineering in Tsinghua University, and assistant director of State Key Laboratory of Power Systems in China. From September 2007 to September 2008, he was a visiting professor with the School of Electrical Engineering and Computer Science at the Washington State University, Pullman, WA, USA. In the past 15 years, he has developed a commercial system-wide automatic voltage control systems which has been applied to over 30 large-scale power grids in China. He published more than 300 academic papers. He held over 50 patents in China. His interests include smart grid, renewable energy and electrical vehicle integration, power system operation, and control.
Prof. Sun is an IET Fellow.View more
Southeast University, School of Electrical Engineering, Nanjing, China
Wei Gu (M'06) received the B.Eng. degree and the Ph.D. degree in electrical engineering from Southeast University, China, in 2001 and 2006, respectively.
He is now an Associate Professor in the School of Electrical Engineering, Southeast University. His research interests include power system stability and control, smart grid, renewable energy technology and power quality.
Wei Gu (M'06) received the B.Eng. degree and the Ph.D. degree in electrical engineering from Southeast University, China, in 2001 and 2006, respectively.
He is now an Associate Professor in the School of Electrical Engineering, Southeast University. His research interests include power system stability and control, smart grid, renewable energy technology and power quality.View more
Southeast University, School of Electrical Engineering, Nanjing, China
Gan Zhou (M'09) received the B.Sc. (Eng.) degree in automation from the Nanjing University of Science and Technology, Nanjing, China, in 2000, and the M.Sc. (Eng.) and Ph.D. degrees in electrical engineering from Southeast University, Nanjing, China, in 2003 and 2009, respectively.
He is now an Associate Professor in the School of Electrical Engineering, Southeast University. His current research interests include power system stability and control, and high performance parallel computing technique for power grid.
Gan Zhou (M'09) received the B.Sc. (Eng.) degree in automation from the Nanjing University of Science and Technology, Nanjing, China, in 2000, and the M.Sc. (Eng.) and Ph.D. degrees in electrical engineering from Southeast University, Nanjing, China, in 2003 and 2009, respectively.
He is now an Associate Professor in the School of Electrical Engineering, Southeast University. His current research interests include power system stability and control, and high performance parallel computing technique for power grid.View more
