A Novel Method to Evaluate Line Loadability for Distribution Systems with Realistic Loads
This paper presents a simple method for estimation of
additional load as a factor of the existing load that may be drawn
before reaching the point of line maximum loadability of radial
distribution system (RDS) with different realistic load models at
different substation voltages. The proposed method involves a simple
line loadability index (LLI) that gives a measure of the proximity of
the present state of a line in the distribution system. The LLI can use
to assess voltage instability and the line loading margin. The
proposed method also compares with the existing method of
maximum loadability index [10]. The simulation results show that the
LLI can identify not only the weakest line/branch causing system
instability but also the system voltage collapse point when it is near
one. This feature enables us to set an index threshold to monitor and
predict system stability on-line so that a proper action can be taken to
prevent the system from collapse. To demonstrate the validity of the
proposed algorithm, computer simulations are carried out on two bus
and 69 bus RDS.
[1] C. W. Taylor, Power System Voltage Stability (McGraw-Hill, Inc.,
NewYork, America, 1994).
[2] P. W. Sauer, M. A. Pai, Power system steady-state stability and the loadflow
Jacobian, IEEE Transactions on Power Systems, vol. 5 n. 4,
November 1990, pp. 1374 - 1383.
[3] N. Yorino, H. Sasaki, Y. Masuda, Y. Tamura, M. Kitagawa and A.
Oshimo, An investigation of voltage instability problems, IEEE
Transactions on Power Systems, vol. 7 n. 2, May 1992, pp. 600 - 611.
[4] P. -A. Löf, G. Andersson, D. J. Hill, Voltage stability indices for
stressed power systems, IEEE Transactions on Power Systems, vol. 8 n.
1, February 1993, pp. 326 - 335.
[5] G. K. Morison, B. Gao, P. Kundur, Voltage stability analysis using static
and dynamic approaches, IEEE Transactions on Power Systems, vol. 8
n. 3, August 1993, pp. 1159 - 1171.
[6] B. Lee, V. Ajjparapu, Invariant subspace parametric sensitivity (ISPS) of
structure-preserving power system models, IEEE Transactions on Power
Systems, vol. 11 n. 2, May 1996, pp. 845 - 850.
[7] M. Chakravorty, and D. Das, Voltage stability analysis of radial
distribution networks, International Journal of Electrical Power &
Energy Systems, vol. 23 n. 2, February 2001, pp. 129 - 135.
[8] G. Verbic, F. Gubina, A new concept of protection against voltage
collapse based on local phasors, IEEE Transactions on Power Delivery,
vol. 19 n. 2, April 2004, pp. 576 - 581.
[9] F. Gubina, B. Strmcnik, Voltage collapse proximity index determination
using voltage phasors approach, IEEE Transactions on Power Systems,
vol. 10 n. 2, May 1995, pp. 788 - 794.
[10] S. Satyanarayana, T. Ramana, S. Sivanagaraju, G. K. Rao and P.V.
Prasad, A Novel Approach to Evaluate the Maximum Loadability of
Distribution systems with Voltage dependent load models, ELEKTRIKA,
vol. 12 n. 1, 2010, pp. 19 - 24.
[11] M. Moghavemmi, F. M. Omar, Technique for contingency monitoring
and voltage collapse prediction, IEE Proceedings Generation
Transmission Distribution, vol. 145 n. 6, November 1998, pp. 634 - 640.
[12] V. Balamourougan, T. S. Sidhu, M. S. Sachdev, Technique for online
prediction of voltage collapse, IEE Proceedings Generation
Transmission Distribution, vol. 151 n. 4, July 2004, pp. 453 - 460.
[13] K. Vu, M. M. Begovic, D. Novosel, and M. M. Saha, Use of local
measurements to estimate voltage-stability margin, IEEE Transactions
on Power Systems, vol. 14 n. 3, August 1999, pp. 1029 - 1035.
[14] M. Begovic, B. Milosevic, D. Novosel, A novel method for voltage
instability protection, 35th Hawaii International Conference on System
Sciences~HICSS-35~,January 7-10, 2002, Big Island, HI, USA.
[15] I. Smon, G. Verbic, F. Gubina, Local voltage-stability index using
Tellegen-s theorem, IEEE Transactions on Power Systems, vol. 21 n. 3,
August 2006, pp. 1267 - 1275.
[16] K. Nagaraju, T. Ramana, S. Sivanagaraju and P.V. Prasad, A Novel
Load Flow Method for Radial Distribution System, International
Journal of Power and Energy Systems, vol. 31 n. 1, 2011, pp. 73 - 81.
[17] Power system engineering committee, Bibliography on load models for
power flow and dynamic performance simulation, IEEE Transactions on
Power Systems, vol. 10 n. 1, February 1995, pp.523 - 538.
[1] C. W. Taylor, Power System Voltage Stability (McGraw-Hill, Inc.,
NewYork, America, 1994).
[2] P. W. Sauer, M. A. Pai, Power system steady-state stability and the loadflow
Jacobian, IEEE Transactions on Power Systems, vol. 5 n. 4,
November 1990, pp. 1374 - 1383.
[3] N. Yorino, H. Sasaki, Y. Masuda, Y. Tamura, M. Kitagawa and A.
Oshimo, An investigation of voltage instability problems, IEEE
Transactions on Power Systems, vol. 7 n. 2, May 1992, pp. 600 - 611.
[4] P. -A. Löf, G. Andersson, D. J. Hill, Voltage stability indices for
stressed power systems, IEEE Transactions on Power Systems, vol. 8 n.
1, February 1993, pp. 326 - 335.
[5] G. K. Morison, B. Gao, P. Kundur, Voltage stability analysis using static
and dynamic approaches, IEEE Transactions on Power Systems, vol. 8
n. 3, August 1993, pp. 1159 - 1171.
[6] B. Lee, V. Ajjparapu, Invariant subspace parametric sensitivity (ISPS) of
structure-preserving power system models, IEEE Transactions on Power
Systems, vol. 11 n. 2, May 1996, pp. 845 - 850.
[7] M. Chakravorty, and D. Das, Voltage stability analysis of radial
distribution networks, International Journal of Electrical Power &
Energy Systems, vol. 23 n. 2, February 2001, pp. 129 - 135.
[8] G. Verbic, F. Gubina, A new concept of protection against voltage
collapse based on local phasors, IEEE Transactions on Power Delivery,
vol. 19 n. 2, April 2004, pp. 576 - 581.
[9] F. Gubina, B. Strmcnik, Voltage collapse proximity index determination
using voltage phasors approach, IEEE Transactions on Power Systems,
vol. 10 n. 2, May 1995, pp. 788 - 794.
[10] S. Satyanarayana, T. Ramana, S. Sivanagaraju, G. K. Rao and P.V.
Prasad, A Novel Approach to Evaluate the Maximum Loadability of
Distribution systems with Voltage dependent load models, ELEKTRIKA,
vol. 12 n. 1, 2010, pp. 19 - 24.
[11] M. Moghavemmi, F. M. Omar, Technique for contingency monitoring
and voltage collapse prediction, IEE Proceedings Generation
Transmission Distribution, vol. 145 n. 6, November 1998, pp. 634 - 640.
[12] V. Balamourougan, T. S. Sidhu, M. S. Sachdev, Technique for online
prediction of voltage collapse, IEE Proceedings Generation
Transmission Distribution, vol. 151 n. 4, July 2004, pp. 453 - 460.
[13] K. Vu, M. M. Begovic, D. Novosel, and M. M. Saha, Use of local
measurements to estimate voltage-stability margin, IEEE Transactions
on Power Systems, vol. 14 n. 3, August 1999, pp. 1029 - 1035.
[14] M. Begovic, B. Milosevic, D. Novosel, A novel method for voltage
instability protection, 35th Hawaii International Conference on System
Sciences~HICSS-35~,January 7-10, 2002, Big Island, HI, USA.
[15] I. Smon, G. Verbic, F. Gubina, Local voltage-stability index using
Tellegen-s theorem, IEEE Transactions on Power Systems, vol. 21 n. 3,
August 2006, pp. 1267 - 1275.
[16] K. Nagaraju, T. Ramana, S. Sivanagaraju and P.V. Prasad, A Novel
Load Flow Method for Radial Distribution System, International
Journal of Power and Energy Systems, vol. 31 n. 1, 2011, pp. 73 - 81.
[17] Power system engineering committee, Bibliography on load models for
power flow and dynamic performance simulation, IEEE Transactions on
Power Systems, vol. 10 n. 1, February 1995, pp.523 - 538.
@article{"International Journal of Electrical, Electronic and Communication Sciences:64312", author = "K. Nagaraju and S. Sivanagaraju and T. Ramana and V. Ganesh", title = "A Novel Method to Evaluate Line Loadability for Distribution Systems with Realistic Loads", abstract = "This paper presents a simple method for estimation of
additional load as a factor of the existing load that may be drawn
before reaching the point of line maximum loadability of radial
distribution system (RDS) with different realistic load models at
different substation voltages. The proposed method involves a simple
line loadability index (LLI) that gives a measure of the proximity of
the present state of a line in the distribution system. The LLI can use
to assess voltage instability and the line loading margin. The
proposed method also compares with the existing method of
maximum loadability index [10]. The simulation results show that the
LLI can identify not only the weakest line/branch causing system
instability but also the system voltage collapse point when it is near
one. This feature enables us to set an index threshold to monitor and
predict system stability on-line so that a proper action can be taken to
prevent the system from collapse. To demonstrate the validity of the
proposed algorithm, computer simulations are carried out on two bus
and 69 bus RDS.", keywords = "line loadability index, line loading margin,
maximum line loadability, system stability, radial distribution system", volume = "5", number = "12", pages = "1940-6", }
