Power Quality & Harmonics

Long Interruption Indices and Assessment Objectives

A long interruption is a loss of service, not a short voltage disturbance — supply is effectively lost at one or more points until the network is restored. Performance is judged not by waveform severity but by service continuity: how often supply is lost, how long it stays lost, and how much load is affected. This guide covers the frequency, duration, availability, severity and cost indices, and why the event definition matters more than any single number.

Reading time ≈ 22 min · Part Five of the series

Long interruptions are assessed over a reporting period — usually one year — on service continuity rather than waveform severity. Performance is described by three kinds of index together:

\[ \text{frequency}\;+\;\text{duration}\;+\;\text{severity} \]
The interruption question: how often is supply lost, how long does it stay lost, and how much load is affected?
Key idea
  1. Interruptions are service-continuity events, assessed over a year by frequency, duration and severity.
  2. Frequency = SAIFI, duration = SAIDI, restoration = SAIRI, with \(\mathrm{SAIDI}=\mathrm{SAIFI}\times\mathrm{SAIRI}\).
  3. Severity = energy not supplied \(\mathrm{ENS}=\sum P_i t_i\) and system minutes.
  4. The decisive issue is definition — what counts as an event, and what is included or excluded.

Section 1

What a long interruption is

A long interruption occurs when supply is unavailable at a customer, delivery point, reception point or defined connection point for longer than a specified duration. The threshold between momentary and sustained interruption depends on the utility or standard — a common practical split is one minute, though some systems use 3 minutes or 10 seconds:

\[ \text{momentary interruption}\;<\;1\ \text{minute} \qquad\qquad \text{sustained interruption}\;>\;1\ \text{minute} \]

The event runs from loss to restoration, and the duration is simply the time between:

\[ \text{fault or outage}\;\rightarrow\;\text{loss of supply}\;\rightarrow\;\text{restoration action}\;\rightarrow\;\text{supply restored} \]
\[ t_{\text{int}} = t_{\text{restored}} - t_{\text{start}} \]
\(t_{\text{start}}\)
time the interruption starts
\(t_{\text{restored}}\)
time supply is restored

Section 2

The main categories of interruption index

Long-interruption indices fall into a few categories — frequency, duration, availability, severity and cost. No single index captures everything: a system may have few interruptions but very long restoration times, or many short interruptions with little energy lost.

Table 1 — Categories of long-interruption index.
CategoryMain QuestionExample
FrequencyHow often does supply fail?Number of interruptions, SAIFI
DurationHow long is supply unavailable?SAIDI, SAIRI, restoration time
AvailabilityHow much of the time is service available?Circuit availability
SeverityHow large is the impact?Energy not supplied, system minutes
CostWhat is the economic consequence?Interruption cost index

Section 3

Counting the events

The simplest index is the number of interruptions, \(N_{\text{int}}\) — but that can mean incidents, delivery points or customers, and these are not the same. One transmission fault may be one incident, two delivery-point interruptions, and many customer interruptions:

\[ 1\ \text{incident}\;\rightarrow\;2\ \text{delivery-point interruptions}\;\rightarrow\;\text{many customer interruptions} \]
Table 2 — The counting basis must be stated.
Counting BasisMeaning
Incident countOne physical event or disturbance
Delivery-point countNumber of supply points affected
Customer countNumber of customers affected
Feeder countNumber of outgoing feeders interrupted
Phase countWhether single-phase interruptions are included

Without this definition, interruption statistics from two utilities may not be comparable at all.

Section 4

System Average Interruption Frequency Index (SAIFI)

SAIFI is the average number of interruptions per delivery point in the reporting period:

\[ \mathrm{SAIFI}=\frac{N_{\text{interruptions}}}{N_{\text{delivery points}}} \]
\(N_{\text{interruptions}}\)
total delivery-point interruptions in the period
\(N_{\text{delivery points}}\)
total delivery points considered

So \(\mathrm{SAIFI}=0.5\) means each delivery point saw, on average, half an interruption over the year. Many utilities split it into \(\mathrm{SAIFI}_{MI}\) (momentary) and \(\mathrm{SAIFI}_{SI}\) (sustained), because the two have different causes, impacts and remedies.

Section 5

System Average Interruption Duration Index (SAIDI)

SAIDI is the average total interruption time per delivery point:

\[ \mathrm{SAIDI}=\frac{\sum t_i}{N_{\text{delivery points}}} \]
\(t_i\)
duration of each delivery-point interruption

Usually expressed in minutes/year or hours/year, so \(\mathrm{SAIDI}=20\ \text{minutes/year}\) means each delivery point was without supply for about 20 minutes over the year. SAIDI mixes frequency and duration: it can rise because there are many interruptions, or because a few took a long time to restore.

Section 6

Restoration index (SAIRI) and the relationship

SAIRI is the average restoration time per interruption event — “when an interruption occurs, how long until supply returns?”:

\[ \mathrm{SAIRI}=\frac{\sum t_i}{N_{\text{interruptions}}} \]

SAIDI averages over delivery points; SAIRI averages over events. With a consistent counting basis, the three are linked:

\[ \mathrm{SAIDI}=\mathrm{SAIFI}\times\mathrm{SAIRI} \]
\[ \mathrm{SAIFI}\rightarrow\text{how often}\qquad \mathrm{SAIRI}\rightarrow\text{how long per event}\qquad \mathrm{SAIDI}\rightarrow\text{total annual duration} \]

This split is useful: it separates how often interruptions happen from how well the network restores them.

Section 7

Energy not supplied

Energy not supplied is a severity index — the energy that was not delivered because of interruptions:

\[ \mathrm{ENS}=\sum P_i\,t_i \]
\(P_i\)
interrupted load (MW)
\(t_i\)
interruption duration (hours)

With \(P_i\) in MW and \(t_i\) in hours, ENS is in MWh. It reflects both the size and the length of the interruption — a short interruption of a very large load can exceed a long interruption of a small load:

Interrupted MW × duration = energy not supplied.

Section 8

System minutes and other severity indices

System minutes normalise energy not supplied to the size of the power system:

\[ \mathrm{SM}=\frac{\mathrm{ENS}\times 60}{P_{\text{system}}} \]
\(\mathrm{ENS}\)
energy not supplied (MWh)
\(P_{\text{system}}\)
reference system demand (MW)

\(\mathrm{SM}=1\) means the severity is equivalent to losing the whole system demand for one minute. Related forms compare unsupplied energy with annual demand — a severity index and an equivalent average interruption time:

\[ \mathrm{SI}=\frac{\mathrm{ENS}}{\mathrm{AD}} \qquad\qquad \mathrm{AIT}=\frac{\mathrm{ENS}}{\mathrm{AD}}\times 8760\times 60 \]
\(\mathrm{AD}\)
annual demand of the system
\(8760\)
hours in a year; the \(\times 60\) converts to minutes

These are valuable for comparing large events across years or systems — but only if the system-size reference is defined consistently.

Section 9

Availability indices

Availability is the proportion of time a circuit, supply point or service is available:

\[ A = 1 - \frac{T_{\text{unavailable}}}{T_{\text{total}}} \qquad\qquad T_{\text{total}} = 8760\ \text{hours} \]
\(A\)
availability (fraction of time supplied)
\(T_{\text{unavailable}}\)
time the circuit or point is unavailable
\(T_{\text{total}}\)
total period (8760 hours in a year)

and for a set of circuits, conceptually:

\[ A = 1 - \frac{\sum T_{\text{interrupted circuit hours}}}{N_{\text{circuits}}\times 8760} \]

Availability is not the same as interruption performance: a circuit can be unavailable through an outage while customers are still supplied by an alternative circuit — availability drops, but no customer interruption occurs. This distinction is central in meshed transmission systems.

Section 10

Interruption cost

Some systems estimate the economic cost of interruptions by weighting energy not supplied by a cost per category:

\[ \mathrm{IC}=\sum \mathrm{ENS}_{m,n}\,c_{m,n} \]
\(\mathrm{ENS}_{m,n}\)
energy not supplied for interruption type \(m\), customer category \(n\)
\(c_{m,n}\)
interruption cost for that category
Table 3 — What interruption cost depends on.
FactorReason
Customer typeIndustrial, commercial and domestic costs differ greatly
NotificationPlanned interruptions usually cost less than unplanned
DurationLonger interruptions usually have higher impact
Time of dayPeak business hours may be more costly
Process sensitivityContinuous processes lose heavily even from short events

Cost indices drive regulatory incentives and investment decisions, but they rely on agreed cost assumptions.

Section 11

Planned, unplanned and major events

A planned interruption gives advance notice (maintenance, reinforcement, connection work); an unplanned one does not (faults, equipment failure, weather, third-party damage). The two have very different customer impact, so the report must say what is included:

Table 4 — Interruption classifications.
TypeDescription
PlannedAdvance notice is provided
Unplanned / forcedNo notice; caused by fault or failure
MomentaryShort-duration loss of supply
SustainedLonger-duration loss of supply
Major eventStorm, earthquake or widespread system incident

Major events can dominate annual indices and mask good day-to-day performance, so many utilities report total performance and, separately, underlying performance excluding major events:

Table 5 — Reporting bases for major events.
Reporting BasisMeaning
Including major eventsTotal customer experience
Excluding major eventsUnderlying network performance
Listing major events separatelyTransparency on exceptional incidents

Customers experience the total; planners often need the underlying figure to guide investment.

Section 12

Event, duration and phase definitions

The event definition strongly affects the statistics — including whether a back-fed delivery point counts as an interruption when customer load stays supplied. A robust report defines its terms:

Table 6 — Definitions that must be fixed.
Definition ItemWhy It Matters
IncidentPhysical disturbance or outage
Delivery pointInterface where supply is delivered
Customer interruptionCustomer actually loses supply
Alternative supplyBack-feed may avoid a customer interruption
Multiple eventsWhether repeated trips are counted separately
Single-phase interruptionMay or may not be included

Duration depends on the reporting basis too: for a delivery point it is \(t_{\text{restored}}-t_{\text{interrupted}}\), but an incident affecting several points has one incident duration and several different point durations. The momentary/sustained split (\(t<1\) min vs \(t>1\) min) separates auto-reclose and transient faults from events needing repair or manual switching — though for sensitive industrial customers a momentary interruption can be almost as damaging as a sustained one. Transmission reports must also state whether single-phase trips and auto-reclose operations are counted, as this strongly affects the frequency index.

Section 13

Reporting period, points and system size

The standard reporting period is one year, \(T_{\text{report}}=1\ \text{year}\), which captures seasonal, weather, loading and maintenance effects. Monthly values reveal seasonal trends, but multi-year trends are usually more meaningful because annual figures vary so much.

Table 7 — Reporting periods and their purpose.
Reporting PeriodPurpose
MonthlyIdentify seasonal or operational trends
AnnualMain reliability comparison
Multi-yearLong-term trend and investment impact

Transmission networks also serve generation and interconnection reception points, not only load delivery points, so liberalised-market assessments may consider both. And every severity index needs a clear system-size reference — the same \(\mathrm{SM}=\tfrac{\mathrm{ENS}\times 60}{P_{\text{reference}}}\) gives different answers if \(P_{\text{reference}}\) is the current-year peak, the previous-year peak or the historical maximum demand, so it must be stated.

Section 14

Practical use and interpretation

Different indices answer different questions, and a complete assessment uses more than one:

Table 8 — Choosing the index for the purpose.
PurposeUseful Index
Interruption frequencySAIFI
Annual outage durationSAIDI
Restoration performanceSAIRI
Large-event severityENS or system minutes
Supply availabilityAvailability index
Economic regulationInterruption cost index
Investment justificationMulti-year trend of SAIDI, SAIFI and ENS

SAIFI shows how often, but not how long; SAIDI shows total duration, but not whether it is many short events or one long one; ENS shows load impact, but can under-weight small, sensitive customers. A bare \(\mathrm{SAIDI}=15\ \text{minutes/year}\) is incomplete — it does not say whether planned interruptions, major storms, momentary events or third-party events are included, nor whether counting is delivery-point or customer-based. A defensible statement looks like:

\(\mathrm{SAIDI}=15\) minutes/year — delivery-point sustained interruptions, excluding planned interruptions, major events reported separately.

Section 15

Mitigation and key message

Long interruptions are reduced by cutting fault occurrence, shortening restoration or limiting the load affected. The right measure depends on which index is poor:

Table 9 — Mitigation measures and their effect.
Mitigation MethodMain Effect
Network reinforcementReduces interruption exposure
Automation & remote switchingReduces restoration time
Redundancy / alternative supplyReduces customer interruption
Improved protection coordinationLimits the affected area
Condition monitoring & maintenanceReduces equipment failure and forced outages
Vegetation & lightning managementReduces weather-related faults
Spares strategyReduces repair duration
Customer backup generation or UPSReduces the consequence of interruption

If SAIFI is high, target fault frequency and network design; if SAIDI or SAIRI is high, target faster restoration and operational response; if ENS or system minutes is high, protect large loads and prevent widespread loss.

Key message

Long interruptions are service-continuity events, assessed over a year by frequency (\(\mathrm{SAIFI}\)), duration (\(\mathrm{SAIDI}\)), restoration (\(\mathrm{SAIRI}\), with \(\mathrm{SAIDI}=\mathrm{SAIFI}\times\mathrm{SAIRI}\)), severity (\(\mathrm{ENS}=\sum P_i t_i\) and system minutes) and cost. No single number tells the whole story, and the decisive issue is definition: incident, delivery-point or customer counting; planned, momentary and major events included or excluded; and the system-size reference. A robust assessment must specify the event definition + duration threshold + counting basis + reporting period + included/excluded events + severity calculation + system-size reference — only then can interruption performance be compared fairly and technically.

Eight-Part Technical Series

Power Quality Indices and Objectives

An eight-part guide to power-quality indices and assessment objectives — how harmonic voltage, voltage flicker, voltage unbalance, voltage dips and long interruptions are measured and indexed, how the measurement data is reviewed, and the recommended indices and objectives for planning and reporting.

Part Five Reading now

Long Interruption Indices and Assessment Objectives

How long interruptions are assessed — frequency (SAIFI), duration (SAIDI), restoration (SAIRI), energy not supplied and system minutes, and why the event definition matters.

Series progress 5 of 8