Abstract
The determination of the required amount of system generating capacity to ensure an adequate supply is an important aspect of power system planning and operation. The total problem can be divided into two conceptually different areas designated as static and operating capacity requirements. The static capacity area relates to the long-term evaluation of this overall system requirement. The operating capacity area relates to the short-term evaluation of the actual capacity required to meet a given load level. Both these areas must be examined at the planning level in evaluating alternative facilities; however, once the decision has been made, the short-term requirement becomes an operating problem. The assessment of operating capacity reserves is illustrated in Chapter 5.
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References
Billinton, R., Bibliography on Application of Probability Methods in the Evaluation of Generating Capacity Requirements, IEEE Winter Power Meeting (1966) Paper No. 31 CP 66–62.
Billinton, R., ‘Bibliography on the application of probability methods in power system reliability evaluation’, IEEE Transactions, PAS-91 (1972), pp. 649–660.
IEEE Subcommittee on the Application of Probability Methods, ‘Bibliography on the application of probability methods in Power system reliability evaluation 1971–77’. IEEE Transactions, PAS-97 (1978), pp. 2235–2242.
Calabrese, G., ‘Generating reserve capacity determined by the probability method’, AIEE Transactions, 66 (1947) pp. 1439–50.
Lyman, W. J., ‘Calculating probability of generating capacity outages’, AIEE Transactions, 66 (1947) pp. 1471–7.
Seelye, H. P., ‘A convenient method for determining generator reserve’, AIEE Transactions, 68 (Pt. II) (1949), pp. 1317–20.
Loane, E. S., Watchorn, C. W., ‘Probability methods applied to generating capacity problems of a combined hydro and steam system’, AIEE Transactions, 66 (1947), pp. 1645–57.
Baldwin, C. J., Gaver, D. P., Hoffman, C. H., ‘Mathematical models for use in the simulation of power generation outages: I—Fundamental considerations’, AIEE Transactions (Power Apparatus and Systems), 78 (1959), pp. 1251–8.
Baldwin, C. J., Billings, J. E., Gaver, D. P., Hoffman, C. H., ‘Mathematical models for use in the simulation of power generation outages: II—Power system forced outage distributions’, AIEE Transactions (Power Apparatus and Systems), 78 (1959), pp. 1258–72.
Baldwin, C. J., Gaver, D. P., Hoffman, C. H., Rose, J. A., ‘Mathematical models for use in the simulation of power generation outages: III—Models for a large interconnection’, AIEE Transactions (Power Apparatus and Systems), 78 (1960), pp. 1645–50.
Hall, J. D., Ringlee, R. J., Wood, A. J., ‘Frequency and duration methods for power system reliability calculations: Part I—Generation system model’, IEEE Transactions, PAS-87 (1968), pp. 1787–96.
Ringlee, R. J., Wood, A. J., ‘Frequency and duration methods for power system reliability calculations: Part II—Demand model and capacity reserve model’, IEEE Transactions, PAS-88 (1969), pp. 375–88.
Galloway, C. D., Garver, L. L., Ringlee, R. J., Wood, A. J., ‘Frequency and duration methods for power system reliability calculations: Part III—Generation system planning’, IEEE Transactions, PAS-88 (1969), pp. 1216–23.
Cook, V. M., Ringlee, R. J., Wood, A. J., ‘Frequency and duration methods for power system reliability calculations: Part IV—Models for multiple boiler-turbines and for partial outage states’, IEEE Transactions, PAS-88 (1969) pp. 1224–32.
Ringlee, R. J., Wood, A. J., ‘Frequency and duration methods for power system reliability calculations: Part V—Models for delays in unit installations and two interconnected systems’, IEEE Transactions, PAS-90 (1971) pp. 79–88.
IEEE Standard Definitions For Use in Reporting Electric Generations Unit Reliability, Availability and Productivity. IEEE Standard 762–1980.
IEEE Committee, ‘A four state model for estimation of outage risk for units in peaking service’, IEEE Task Group on Model for Peaking Units of the Application of Probability Methods Subcommittee, IEEE Transactions, PAS-91 (1972), pp. 618–27.
Patton, A. D., Singh, C., Sahinoglu, M., ‘Operating considerations in generation reliability modelling—an analytical approach’, IEEE Transactions, PAS-100 (1981), p. 2656–71.
Billinton, R., Power System Reliability Evaluation, Gordon and Breach, New York (1970).
Bhavaraju, M. P., An Analysis of Generating Capacity Reserve Requirements,IEEE (1974) Paper No. C–74–155–0.
Schenk, K. F., Rau, N. S., Application of Fourier Transform Techniques for the Assessment of Reliability of Generating Systems,IEEE Winter Power Meeting (1979), Paper No. A–79–103–3.
Stremel, J. P., ‘Sensitivity study of the cumulant method of calculating generation system reliability’, IEEE Transactions, PAS-100 (1981), pp. 771–78.
Billinton, R., Hamoud, G., Discussion of Reference 22.
Allan, R. N., Leite da Silva, A. M., Abu-Nasser, A., Burchett, R. C., ‘Discrete convolution in power system reliability’, IEEE Transactions on Reliability, R-30 (1981), pp. 452–6.
Billinton, R., Krasnodebski, J., ‘Practical application of reliability and 70 Reliability evaluation of power systemsmaintainability concepts to generating station design’, IEEE Transactions, PAS-92 (1973) pp. 1814–24.
Walters, J., ‘Realizing reliability’, Proceedings 1979 Reliability Conference for the Electric Power Industry. Miami, Fla (April 1979 ).
Instruction Manual, Generation Equipment Status Canadian Electrical Association (1979).
Billinton, R., Kuruganty, P. R. S., ‘Unit derating levels in generating capacity evaluation’, Proceedings 1976 Annual Conference for the Electric Power Industry, Montreal (1976).
Billinton, R., ‘Reliability criteria used by Canadian utilities in generating capacity planning and operation’, IEEE Transactions, PAS-97 (1978), pp. 1097–1103.
Billinton, R., Distributed Representation of Forced Outage Probability Value in Generating Capacity Reliability Studies, IEEE Winter Power Meeting (1966), Paper No. 31-CP-66–61.
Billinton, R., Bhavaraju, M. P., Outage Rate Confidence Levels In Static and Spinning Reserve Evaluation, IEEE Summer Power Meeting (1968), Paper No. 68-CP-608-PWR.
Patton, A. D., Stasinos, A., ‘Variance and approximate confidence levels on LOLP for a single area system’, IEEE Transactions, PAS-94 (1975), pp. 1326–33.
Wang, L., ‘The effects of uncertainties in forced outage rates and load forecast on the loss of load probability (LOLP)’, IEEE Transactions, PAS-96 (1977), pp. 1920–27.
Hamoud, G., Billinton, R., ‘An approximate and practical approach to including uncertainty concepts in generating capacity reliability evaluation’, IEEE Transactions, PAS-100 (1981), pp. 1259–65.
Billinton, R., Harrington, P. G., ‘Reliability evaluation in energy limited generating capacity studies’, IEEE Transactions, PAS-97 (1978), pp. 2076–86.
Reliability System Task Force of the Application of Probability Methods Subcommittee, ‘IEEE reliability test system’, IEEE Transactions,PAS-98 (1979), pp. 2047–54.
Allan, R. N., Takieddine, F. N., ‘Generation modelling in power system reliability evaluation’, IEE Conference on Reliability of Power Supply Systems, IEE Conf. Pub. 148 (1977), pp. 47–50.
Allan, R. N., Takieddine, F. N., ‘Generator maintenance scheduling using simplified frequency and duration reliability criteria’, Proc. IEE, 124 (1977), pp. 873–80.
Allan, R. N., Takieddine, F. N., Network Limitations on Generating Systems Reliability Evaluation Techniques, IEEE Winter Power Meeting (1978), Paper No. A 78 070–5.
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© 1984 Roy Billinton and Ronald N Allan
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Billinton, R., Allan, R.N. (1984). Generating capacity—basic probability methods. In: Reliability Evaluation of Power Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7731-7_2
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DOI: https://doi.org/10.1007/978-1-4615-7731-7_2
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