# Power System Stability Indices

Chapter

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## Abstract

This chapter discusses different power system stability indices used for the load model parameter ranking. Firstly it introduces the power system stability indices used for four types of power system stability studies in this research. Following that it provides a critical review and comparison of different types of stability indices.

## References

- 1.Suzuki M, Wada S, Sato M, Asano T, Kudo Y (1992) Newly developed voltage security monitoring system. Power Syst IEEE Trans 7:965–973Google Scholar
- 2.Capitanescu F, Van Cutsem T (2002) Preventive control of voltage security margins: a multicontingency sensitivity-based approach. Power Systems, IEEE Transactions on 17:358–364Google Scholar
- 3.Nallan H, Rastgoufard P (1996) Computational voltage stability assessment of large-scale power systems. Electr Power Syst Res 38:177–181Google Scholar
- 4.Braz L, Castro C, Murati C (2000) A critical evaluation of step size optimization based load flow methods. Power Syst IEEE Trans 15:202–207Google Scholar
- 5.Ajjarapu V, Christy C (1991) The continuation power flow: a tool for steady state voltage stability analysis. In: [Proceedings] conference papers 1991 power industry computer application conference. pp 304–311Google Scholar
- 6.Greene S, Dobson I, Alvarado FL (1997) Sensitivity of the loading margin to voltage collapse with respect to arbitrary parameters. Power Syst IEEE Trans 12:262–272Google Scholar
- 7.Papadopoulos PN, Milanović JV (2017) Probabilistic framework for transient stability assessment of power systems with high penetration of renewable generation. IEEE Trans Power Syst 32:3078–3088Google Scholar
- 8.Seethalekshmi K, Singh SN, Srivastava SC (2011) A synchrophasor assisted frequency and voltage stability based load shedding scheme for self-healing of power system. IEEE Trans Smart Grid 2:221–230Google Scholar
- 9.Boemer JC, Burges K, Zolotarev P, Lehner J, Wajant P, Fürst M, Brohm R, Kumm T (2011) Overview of German grid issues and retrofit of photovoltaic power plants in Germany for the prevention of frequency stability problems in abnormal system conditions of the ENTSO-E region continental Europe. In: 1st international workshop on integration of solar power into power systemsGoogle Scholar
- 10.Karbalaei F, Soleymani H, Afsharnia S (2010) A comparison of voltage collapse proximity indicators. In: IPEC, 2010 Conference Proceedings. pp 429–432Google Scholar
- 11.Kessel P, Glavitsch H (1986) Estimating the voltage stability of a power system. Power Eng Rev IEEE PER-6:72–72Google Scholar
- 12.Gao B, Morison G, Kundur P (1992) Voltage stability evaluation using modal analysis. Power Syst IEEE Trans 7:1529–1542Google Scholar
- 13.Xiaoming M, Weixing L, Tiankui S, Shuang R, Yong S (2013) An analytical sensitivity index for load shedding to avoid voltage instability. Power Energy Soc General Meet (PES) IEEE 2013:1–5Google Scholar
- 14.Weixing L, Tongwen C (2009) An investigation on the relationship between impedance matching and maximum power transfer. Electr Power Energy Conf (EPEC) IEEE 2009:1–6Google Scholar
- 15.Hsiao-Dong C, Jean-Jumeau R (1995) Toward a practical performance index for predicting voltage collapse in electric power systems. Power Syst IEEE Trans 10:584–592Google Scholar
- 16.Cañizares C, De Souz AC, Quintana VH (1996) Comparison of performance indices for detection of proximity to voltage collapse. Power Syst IEEE Trans 11:1441–1450Google Scholar
- 17.Xu W, Pordanjani IR, Wang Y, Vaahedi E (2012) A network decoupling transform for phasor data based voltage stability analysis and monitoring. Smart Grid IEEE Trans 3:261–270Google Scholar
- 18.Sinha A, Hazarika D (2000) A comparative study of voltage stability indices in a power system. Int J Electr Power Energy Syst 22:589–596Google Scholar
- 19.Preece R (2013) Improving the stability of meshed power networks: a probabilistic approach using embedded HVDC lines. Springer Science & Business MediaGoogle Scholar
- 20.J. Machowski, J. Bialek, J. R. Bumby, and J. Bumby,
*Power system dynamics and stability*: John Wiley & Sons, 1997Google Scholar - 21.Rogers G (2012) Power system oscillations. Springer Science & Business MediaGoogle Scholar
- 22.Meegahapola L, Flynn D (2010) Impact on transient and frequency stability for a power system at very high wind penetration. Power Energy Soc General Meet IEEE 2010:1–8Google Scholar
- 23.Morales JD, Papadopoulos PN, Milanović JV (2017) Feasibility of different corrective control options for the improvement of transient stability. PowerTech IEEE Manchester 2017:1–6Google Scholar
- 24.Gautam D, Vittal V, Harbour T (2009) Impact of increased penetration of DFIG-based wind turbine generators on transient and small signal stability of power systems. IEEE Trans Power Syst 24:1426–1434Google Scholar
- 25.Gomez FR, Rajapakse AD, Annakkage UD, Fernando IT (2011) Support vector machine-based algorithm for post-fault transient stability status prediction using synchronized measurements. IEEE Trans Power Syst 26:1474–1483Google Scholar
- 26.Mochamad RF, Preece R (2017) Impact of model complexity on mixed AC/DC transient stability analysisGoogle Scholar
- 27.O’Sullivan J, Rogers A, Flynn D, Smith P, Mullane A, O’Malley M (2014) Studying the maximum instantaneous non-synchronous generation in an island system—frequency stability challenges in Ireland. IEEE Trans Power Syst 29:2943–2951Google Scholar
- 28.Wu L, Infield D (2014) Power system frequency management challenges–a new approach to assessing the potential of wind capacity to aid system frequency stability. IET Renew Power Gener 8:733–739Google Scholar
- 29.Mu Y, Wu J, Ekanayake J, Jenkins N, Jia H (2013) Primary frequency response from electric vehicles in the Great Britain power system. IEEE Trans Smart Grid 4:1142–1150Google Scholar
- 30.Yan R, Saha TK, Modi N, Masood N-A, Mosadeghy M (2015) The combined effects of high penetration of wind and PV on power system frequency response. Appl Energy 145:320–330Google Scholar
- 31.Adrees A, Milanovic JV (2016) Study of frequency response in power system with renewable generation and energy storage. Power Syst Comput Conf (PSCC) 2016:1–7Google Scholar
- 32.Horne J, Flynn D, Littler T (2004) Frequency stability issues for islanded power systems. Power Syst Conf Exposition IEEE PES 2004:299–306Google Scholar
- 33.Tang J, Liu J, Ponci F, Monti A (2013) Adaptive load shedding based on combined frequency and voltage stability assessment using synchrophasor measurements. IEEE Trans Power Syst 28:2035–2047Google Scholar
- 34.Teng F, Mu Y, Jia H, Wu J, Zeng P, Strbac G (2016) Challenges of primary frequency control and benefits of primary frequency response support from electric vehiclesGoogle Scholar

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