Loss of load: Difference between revisions
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Multiple [[reliability index|reliability indices]] for the electrical generation are based on the loss of load being observed/calculated over a long interval (one or multiple years) in relatively small increments (an hour or a day). The total number of increments inside the long interval is designated as <math>N</math> (e.g., for a yearlong interval <math>N=365</math> if the increment is a day, <math>N=8760</math> if the increment is an hour):{{sfn|Duarte|Serpa|2016|p=157}} |
Multiple [[reliability index|reliability indices]] for the electrical generation are based on the loss of load being observed/calculated over a long interval (one or multiple years) in relatively small increments (an hour or a day). The total number of increments inside the long interval is designated as <math>N</math> (e.g., for a yearlong interval <math>N=365</math> if the increment is a day, <math>N=8760</math> if the increment is an hour):{{sfn|Duarte|Serpa|2016|p=157}} |
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* '''Loss of load probability (LOLP)''' is a probability of an occurrence of an increment with a loss of load condition. LOLP can also be considered as a probability of involuntary [[load shedding]];{{sfn|Wang|Song|Irving|2010|p=151}} |
* '''Loss of load probability (LOLP)''' is a probability of an occurrence of an increment with a loss of load condition. LOLP can also be considered as a probability of involuntary [[load shedding]];{{sfn|Wang|Song|Irving|2010|p=151}} |
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* '''Loss of load expectation (LOLE)''' is the total duration of increments when the loss of load is expected to occur, <math>{LOLE} = {LOLP} \cdot N</math>. Frequently LOLE is specified in days, if the increment is an hour, not a day, a term '''loss of load hours''' ('''LOLH''') is sometimes used.{{sfn|Ela|Milligan|Bloom|Botterud|2018|p=134}} Since LOLE uses the daily peak value for the whole day, LOLH (that uses different peak values for each hour) cannot be obtained by simply multiplying LOLE by 24;{{sfn| |
* '''Loss of load expectation (LOLE)''' is the total duration of increments when the loss of load is expected to occur, <math>{LOLE} = {LOLP} \cdot N</math>. Frequently LOLE is specified in days, if the increment is an hour, not a day, a term '''loss of load hours''' ('''LOLH''') is sometimes used.{{sfn|Ela|Milligan|Bloom|Botterud|2018|p=134}} Since LOLE uses the daily peak value for the whole day, LOLH (that uses different peak values for each hour) cannot be obtained by simply multiplying LOLE by 24;{{sfn|Billinton|Huang|2006|p=1}} although in practice the relationship is close to [[Linear function (calculus)|linear]], the coefficients vary from network to network;{{sfn|Ibanez|Milligan|2014|p=4}} |
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* '''Loss of load events''' ('''LOLEV''') a.k.a. '''loss of load frequency''' ('''LOLF''') is the number of loss of load events within the interval (an event can occupy several contiguous increments);{{sfn|NERC|2018|p=13}} |
* '''Loss of load events''' ('''LOLEV''') a.k.a. '''loss of load frequency''' ('''LOLF''') is the number of loss of load events within the interval (an event can occupy several contiguous increments);{{sfn|NERC|2018|p=13}} |
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* '''Loss of load duration (LOLD)''' characterizes the average duration of a loss of load event:{{sfn|Arteconi|Bruninx|2018|p=140}} <math>{LOLD} = \frac {LOLE} {LOLF}</math> |
* '''Loss of load duration (LOLD)''' characterizes the average duration of a loss of load event:{{sfn|Arteconi|Bruninx|2018|p=140}} <math>{LOLD} = \frac {LOLE} {LOLF}</math> |
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* {{citation | last1 = Billinton | first1 = Roy | last2 = Huang | first2 = Dange | title = 2006 International Conference on Probabilistic Methods Applied to Power Systems | chapter = Basic Concepts in Generating Capacity Adequacy Evaluation | date = June 2006 | pages = 1–6 | publisher = IEEE | doi = 10.1109/PMAPS.2006.360431| isbn = 978-91-7178-585-5 | s2cid = 25841586 | chapter-url = https://ieeexplore.ieee.org/document/4202394 }} |
* {{citation | last1 = Billinton | first1 = Roy | last2 = Huang | first2 = Dange | title = 2006 International Conference on Probabilistic Methods Applied to Power Systems | chapter = Basic Concepts in Generating Capacity Adequacy Evaluation | date = June 2006 | pages = 1–6 | publisher = IEEE | doi = 10.1109/PMAPS.2006.360431| isbn = 978-91-7178-585-5 | s2cid = 25841586 | chapter-url = https://ieeexplore.ieee.org/document/4202394 }} |
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* {{cite book |last1=Tezak |first1=Christine |title=Resource Adequacy - Alphabet Soup! |date=June 24, 2005 |publisher=Stanford Washington Research Group |url=https://hepg.hks.harvard.edu/files/hepg/files/stanford.washington.resource.adequacy.pdf}} |
* {{cite book |last1=Tezak |first1=Christine |title=Resource Adequacy - Alphabet Soup! |date=June 24, 2005 |publisher=Stanford Washington Research Group |url=https://hepg.hks.harvard.edu/files/hepg/files/stanford.washington.resource.adequacy.pdf}} |
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* {{cite book |last1=Duarte |first1=Yorlandys Salgado |first2=Alfredo del Castillo |last2=Serpa |chapter=Assessment of the Reliability of Electrical Power Systems |editor1= Antônio José da Silva Neto |editor2=Orestes Llanes Santiago |editor3=Geraldo Nunes Silva |title=Mathematical Modeling and Computational Intelligence in Engineering Applications |date=2016 |publisher=Springer |isbn=978-3-319-38868-7 |doi=10.1007/978-3-319-38869-4_11 |chapter-url=https://link.springer.com/chapter/10.1007/978-3-319-38869-4_11 }} |
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{{Reliability indices}} |
{{Reliability indices}} |
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Revision as of 15:29, 25 November 2023
Loss of load in an electrical grid is a term used to describe the situation when the available generation capacity is less than the system load.[1] Multiple probabilistic reliability indices for the generation systems are using loss of load in their definitions, with the more popular[2] being Loss of Load Probability (LOLP) that characterizes a probability of a loss of load occurring within a year.[1] Loss of load events are calculated before the mitigating actions (purchasing electricity from other systems, load shedding) are taken, so a loss of load does not necessarily cause a blackout.
Loss-of-load-based reliability indices
Multiple reliability indices for the electrical generation are based on the loss of load being observed/calculated over a long interval (one or multiple years) in relatively small increments (an hour or a day). The total number of increments inside the long interval is designated as (e.g., for a yearlong interval if the increment is a day, if the increment is an hour):[3]
- Loss of load probability (LOLP) is a probability of an occurrence of an increment with a loss of load condition. LOLP can also be considered as a probability of involuntary load shedding;[4]
- Loss of load expectation (LOLE) is the total duration of increments when the loss of load is expected to occur, . Frequently LOLE is specified in days, if the increment is an hour, not a day, a term loss of load hours (LOLH) is sometimes used.[5] Since LOLE uses the daily peak value for the whole day, LOLH (that uses different peak values for each hour) cannot be obtained by simply multiplying LOLE by 24;[6] although in practice the relationship is close to linear, the coefficients vary from network to network;[7]
- Loss of load events (LOLEV) a.k.a. loss of load frequency (LOLF) is the number of loss of load events within the interval (an event can occupy several contiguous increments);[8]
- Loss of load duration (LOLD) characterizes the average duration of a loss of load event:[9]
One-day-in-ten-years criterion
A typically accepted design goal for is 0.1 day per year[10] ("one-day-in-ten-years criterion"[10] a.k.a. "1 in 10"[11]), corresponding to . In the US, the threshold is set by the regional entities, like Northeast Power Coordinating Council:[11]
resources will be planned in such a manner that ... the probability of disconnecting non-interruptible customers will be no more than once in ten years
— NPCC criteria on generation adequacy
See also
References
- ^ a b Ascend Analytics 2019.
- ^ Elmakias 2008, p. 174.
- ^ Duarte & Serpa 2016, p. 157.
- ^ Wang, Song & Irving 2010, p. 151.
- ^ Ela et al. 2018, p. 134.
- ^ Billinton & Huang 2006, p. 1.
- ^ Ibanez & Milligan 2014, p. 4.
- ^ NERC 2018, p. 13.
- ^ Arteconi & Bruninx 2018, p. 140.
- ^ a b Meier 2006, p. 230.
- ^ a b Tezak 2005, p. 2.
Sources
- "Loss of Load Probability: Application to Montana" (PDF). Ascend Analytics. 2019.
- David Elmakias, ed. (7 July 2008). New Computational Methods in Power System Reliability. Springer Science & Business Media. p. 174. ISBN 978-3-540-77810-3. OCLC 1050955963.
- Arteconi, Alessia; Bruninx, Kenneth (7 February 2018). "Energy Reliability and Management". Comprehensive Energy Systems. Vol. 5. Elsevier. p. 140. ISBN 978-0-12-814925-6. OCLC 1027476919.
- Meier, Alexandra von (30 June 2006). Electric Power Systems: A Conceptual Introduction. John Wiley & Sons. p. 230. ISBN 978-0-470-03640-2. OCLC 1039149555.
- Wang, Xi-Fan; Song, Yonghua; Irving, Malcolm (7 June 2010). Modern Power Systems Analysis. Springer Science & Business Media. p. 151. ISBN 978-0-387-72853-7. OCLC 1012499302.
- Ela, Erik; Milligan, Michael; Bloom, Aaron; Botterud, Audun; Townsend, Aaron; Levin, Todd (2018). "Long-Term Resource Adequacy, Long-Term Flexibility Requirements, and Revenue Sufficiency". Studies in Systems, Decision and Control. Vol. 144. Springer International Publishing. pp. 129–164. doi:10.1007/978-3-319-74263-2_6. eISSN 2198-4190. ISBN 978-3-319-74261-8. ISSN 2198-4182.
- "Probabilistic Adequacy and Measures: Technical Reference Report" (PDF). NERC. February 2018. p. 13.
- Ibanez, Eduardo; Milligan, Michael (July 2014), "Comparing resource adequacy metrics and their influence on capacity value" (PDF), 2014 International Conference on Probabilistic Methods Applied to Power Systems (PMAPS), IEEE, pp. 1–6, doi:10.1109/PMAPS.2014.6960610, ISBN 978-1-4799-3561-1, OSTI 1127287, S2CID 3135204
- Billinton, Roy; Huang, Dange (June 2006), "Basic Concepts in Generating Capacity Adequacy Evaluation", 2006 International Conference on Probabilistic Methods Applied to Power Systems, IEEE, pp. 1–6, doi:10.1109/PMAPS.2006.360431, ISBN 978-91-7178-585-5, S2CID 25841586
- Tezak, Christine (June 24, 2005). Resource Adequacy - Alphabet Soup! (PDF). Stanford Washington Research Group.
- Duarte, Yorlandys Salgado; Serpa, Alfredo del Castillo (2016). "Assessment of the Reliability of Electrical Power Systems". In Antônio José da Silva Neto; Orestes Llanes Santiago; Geraldo Nunes Silva (eds.). Mathematical Modeling and Computational Intelligence in Engineering Applications. Springer. doi:10.1007/978-3-319-38869-4_11. ISBN 978-3-319-38868-7.