Power Systems

Chapter 13
Power-System Planning, Reliability and Asset Management

Bachelors Program in Electrical Engineering
Power Systems   •   Bachelor

Power-System Planning, Reliability and Asset Management

Introduction

Electric power systems are long-lived, capital-intensive infrastructures whose performance must remain adequate despite uncertain demand, equipment failures, fuel-price changes, extreme weather, regulatory requirements, and technological change. Planning therefore extends beyond constructing enough generation to meet a forecast peak. It requires coordinated decisions about generation, transmission, distribution, flexibility, reliability, resilience, environmental performance, and the condition of existing assets.

Power-system planning answers questions such as:

  • How much electricity and peak demand will customers require in future years?
  • Which generation, storage, transmission, and distribution investments are needed?
  • How much capacity is required above expected demand to cover uncertainty and failures?
  • What is the probability and consequence of supply interruption?
  • Should an asset be maintained, refurbished, replaced, or retired?
  • Which investment provides the best technical, economic, environmental, and social outcome?

This chapter develops a practical framework for answering these questions. It distinguishes adequacy, which concerns whether sufficient resources exist, from security, which concerns the ability to withstand disturbances while operating within limits. It also distinguishes reliability, which concerns continuity and acceptable performance, from resilience, which concerns preparation for, absorption of, recovery from, and adaptation to high-impact disturbances.

Learning Objectives

By the end of this chapter, students should be able to:

  1. Explain the purposes and stages of power-system planning.
  2. Apply basic deterministic and statistical load-forecasting methods.
  3. Describe generation, transmission, and distribution expansion planning.
  4. Perform a basic N−1 contingency and security assessment.
  5. Calculate and interpret common reliability indices.
  6. Explain probabilistic risk assessment and expected unserved energy.
  7. Distinguish reliability from resilience and identify resilience measures.
  8. Apply life-cycle asset-management principles to power-system equipment.
  9. Compare investment alternatives using technical, economic, environmental, and regulatory criteria.
  10. Recognize the roles of data quality, governance, cybersecurity, and emerging digital technologies.

1. The Planning Problem

Planning is a decision process under uncertainty. The planner must choose actions today whose consequences may occur over several decades. Decisions include new power plants, renewable resources, batteries, interconnectors, substations, lines, protection systems, control platforms, and replacement programs.

A useful planning sequence is:

  1. Define the planning horizon, reliability standard, and policy constraints.
  2. Forecast energy demand, peak demand, flexibility requirements, and spatial demand.
  3. Establish the existing system capability and asset condition.
  4. Identify deficiencies under normal operation and credible disturbances.
  5. Develop technically feasible alternatives.
  6. Evaluate alternatives using reliability, cost, environmental, and social criteria.
  7. Select a portfolio rather than an isolated project.
  8. Approve, procure, construct, commission, and monitor the plan.
  9. Update the plan as forecasts, technologies, and risks change.

Planning horizons are commonly divided into short-term operational planning, medium-term maintenance and procurement planning, and long-term expansion planning. The boundaries differ among jurisdictions. Long-term plans must be sufficiently flexible because demand forecasts and technology costs are uncertain.

Adequacy, security, reliability, and resilience

Resource adequacy is the ability of available generation, storage, demand response, and imports to supply demand over the planning period. Transmission adequacy is the ability of the network to transfer power to load areas without unacceptable overloads or voltage problems. Security is the ability to withstand specified contingencies, such as the outage of one circuit or generator.

Reliability is the broader probability that the system performs its intended function. Resilience addresses severe, low-probability events such as floods, wildfires, coordinated cyberattacks, fuel interruptions, or geomagnetic disturbances. Reliability metrics often focus on frequency and duration of ordinary interruptions; resilience analysis also considers restoration speed, critical-load protection, interdependencies, and adaptive capability.

2. Load Forecasting

Load forecasting estimates future electricity consumption and demand. Forecasts may describe:

  • Energy demand, measured in MWh or GWh over a period.
  • Peak demand, measured in MW or GW at the maximum loading interval.
  • Hourly or sub-hourly profiles, needed for production costing and network studies.
  • Spatial demand, identifying where load will occur.
  • Flexible demand, including electric vehicles, heating, cooling, and industrial loads that may respond to prices or control signals.

A forecast should identify its base year, time resolution, weather assumptions, economic assumptions, electrification assumptions, and uncertainty range. A single point forecast is inadequate for major investment decisions; low, central, and high scenarios are more useful.

Basic forecasting relationships

If demand grows at a constant annual rate g, demand after n years is:

Dn = D0(1 + g)n

where D₀ is base demand in MW or MWh, Dₙ is forecast demand after n years, g is the fractional annual growth rate, and n is the number of years. The formula assumes a constant compound rate and does not represent changing economic conditions or saturation.

If annual energy E and annual load factor LF are known, the corresponding average demand is:

Pavg = E / T

where P_avg is average power, E is energy, and T is the duration of the period. If E is in MWh and T is in hours, P_avg is in MW. Load factor is:

LF = Pavg / Ppeak

where P_peak is maximum demand. Thus, for a year of 8,760 hours:

E = Ppeak × LF × 8,760

These identities assume consistent time units and that the stated peak and load factor refer to the same period.

Forecasting methods

A trend forecast extrapolates historical demand. Regression models relate demand to explanatory variables such as population, income, industrial output, temperature, electricity price, and appliance ownership. A simple linear model may be written as:

Dt = β0 + β1Yt + β2Pt + β3Wt + εt

where Dₜ is demand at time t, Yₜ may represent economic activity, Pₜ may represent population, Wₜ may represent weather, β terms are estimated coefficients, and εₜ is the unexplained error. The model is useful only when relationships remain reasonably stable and relevant variables are measured reliably.

Time-series methods use historical patterns, seasonality, and autocorrelation. End-use models forecast the number and usage of appliances, industrial processes, vehicles, and heating systems. Hybrid methods combine econometric, end-use, weather, and expert information.

Forecast error should be quantified. A common measure is mean absolute percentage error:

MAPE = (100/N) × ∑ |(At − Ft)/At|

where N is the number of observations, Aₜ is actual demand, and Fₜ is forecast demand. MAPE becomes problematic when actual demand approaches zero and can give disproportionate weight to small loads. Mean absolute error and root mean square error are often preferable for particular applications.

Worked example: compound demand growth

A distribution area has a present peak demand of 420 MW and is expected to grow by 2.5% annually for five years. The forecast peak is:

D5 = 420(1.025)5 ≈ 475.2 MW

The increase is approximately 55.2 MW. This is a forecast, not an automatic investment requirement: energy efficiency, demand response, distributed generation, and revised economic assumptions may reduce the required firm capacity.

3. Generation and Network Expansion Planning

Generation planning

Generation planning selects a portfolio of resources that can meet energy, capacity, flexibility, reserve, and environmental requirements. Important characteristics include rated capacity, dependable capacity, forced-outage rate, ramp rate, minimum stable output, start-up time, fuel availability, emissions, construction lead time, and location.

A resource’s nameplate rating is not necessarily its contribution to adequacy. Variable renewable generation depends on weather, while thermal and hydro resources may be limited by outages, fuel, water, or environmental constraints. Storage contributes according to its power rating, energy duration, state of charge, charging availability, and replenishment opportunity.

The reserve margin is commonly defined as:

Reserve Margin = [(C − Ppeak) / Ppeak] × 100%

where C is the selected capacity measure and P_peak is forecast peak demand. C must be defined carefully: it may mean nameplate capacity, dependable capacity, or accredited capacity. The reserve margin is a screening indicator, not a complete reliability assessment, because it does not represent outage probability, transmission constraints, or hourly renewable availability.

A simplified annualized investment comparison may use present value:

PV = ∑[t=0 to N] Ct / (1 + r)t

where Cₜ is net cash flow in year t, r is the discount rate per period, and N is the analysis horizon. Costs may include capital expenditure, fixed and variable operating costs, fuel, decommissioning, environmental compliance, and residual value. Discounting does not eliminate uncertainty; sensitivity and scenario analysis remain necessary.

Transmission and distribution planning

Network planning must consider power-transfer capability, thermal limits, voltage magnitude, voltage stability, transient stability, short-circuit duty, protection coordination, and right-of-way constraints. A line that appears adequate in an energy balance may be inadequate because power cannot reach the load area.

Transmission expansion may involve new circuits, reconductoring, series compensation, transformers, phase-shifting transformers, flexible AC transmission devices, or interconnection upgrades. Distribution planning increasingly includes voltage regulators, automated switches, hosting-capacity analysis, batteries, and active management of distributed energy resources.

A planning study generally includes:

  • load-flow analysis for normal and contingency conditions;
  • short-circuit analysis for equipment ratings and protection;
  • stability analysis for severe disturbances;
  • production-cost or chronological dispatch analysis;
  • renewable curtailment and storage analysis;
  • environmental and land-use assessment; and
  • reliability and economic evaluation.

4. Contingency Analysis and N−1 Security

Contingency analysis evaluates system states after specified equipment outages. The most common criterion is N−1 security: the system must continue operating within acceptable limits after the loss of any one credible element, such as a generator, transformer, or transmission circuit. The criterion must specify which elements are included, acceptable emergency ratings, allowable voltage deviations, remedial action schemes, and the time allowed for corrective action.

A typical procedure is:

  1. Solve the base-case power flow.
  2. Select a credible outage.
  3. Remove the element from the network model.
  4. Re-solve power flow, including automatic controls where appropriate.
  5. Check thermal loading, voltage, angular stability, and equipment limits.
  6. Rank violations by severity.
  7. Test corrective actions such as redispatch, switching, demand response, or controlled load shedding.

N−1 is not a probability calculation. It treats selected contingencies as design tests, whether or not their probabilities are equal. It also does not guarantee security against common-cause failures, multiple outages, extreme weather, or cyber-physical events. Some systems use N−1−1, probabilistic criteria, or risk-based security standards for additional protection.

For a simplified loss-of-load example, suppose total available generation is 1,000 MW and demand is 900 MW. If the largest generator is 150 MW, its outage leaves 850 MW and produces a 50 MW shortfall unless reserves or imports respond. The initial reserve margin of 11.1% therefore does not demonstrate N−1 adequacy.

5. Reliability Assessment

Reliability assessment may be deterministic or probabilistic. Deterministic criteria are transparent and easy to enforce, but they may ignore event likelihood and consequence. Probabilistic methods combine the probability of an event with its consequences and are particularly valuable when comparing expensive alternatives.

Component and system reliability

For a component with constant failure rate λ, the reliability function is:

R(t) = e^(−λt)

where R(t) is the probability of surviving without failure to time t, λ is the failure rate per unit time, and t is time. This model assumes a constant failure rate and statistically appropriate conditions; real assets often exhibit age-dependent failure rates.

For independent components connected in series, where every component must operate:

Rseries = ∏ Ri

For independent components connected in parallel, where at least one must operate:

Rparallel = 1 − ∏(1 − Ri)

These simple formulas are conceptual and require independence and clearly defined success conditions. Power networks are often neither purely series nor parallel because flows, protection, common-cause failures, and operating constraints interact.

Distribution reliability indices

Common customer-oriented indices include:

SAIFI = Total customer interruptions / Total customers served
SAIDI = Total customer interruption duration / Total customers served
CAIDI = Total customer interruption duration / Total customer interruptions

SAIFI is measured in interruptions per customer, SAIDI in time per customer, and CAIDI in time per interruption. Definitions differ by regulator, particularly regarding momentary interruptions, major events, planned interruptions, and excluded customers. Comparisons are valid only when definitions and reporting boundaries are consistent.

For bulk systems, common metrics include loss-of-load expectation (LOLE), loss-of-load probability (LOLP), expected unserved energy (EUE), and frequency-related indices. LOLE may be expressed as expected days or hours with insufficient resources. EUE is the expected energy not served, usually in MWh per year:

EUE = ∑ ps Us

where pₛ is the probability of system state s and Uₛ is unserved energy in that state. The equation assumes a mutually exclusive, collectively exhaustive set of modeled states.

Reliability worth may be represented by the value of lost load (VOLL). A simplified expected interruption cost is:

Expected Cost = EUE × VOLL

This is useful for screening but VOLL varies by customer type, interruption duration, advance notice, season, and economic conditions. It should not be treated as a universal constant.

6. Probabilistic Risk Assessment

Probabilistic risk assessment combines event likelihood and consequence. A general expected-risk expression is:

Risk = ∑ pi × ci

where pᵢ is the probability of event i and cᵢ is its consequence, expressed in suitable units such as dollars, MWh not served, fatalities, or environmental damage.

A practical assessment includes:

  1. defining system states and events;
  2. estimating failure rates, repair times, weather dependence, and demand uncertainty;
  3. modeling dispatch, network constraints, protection, and restoration;
  4. calculating consequences for each state;
  5. aggregating risk; and
  6. testing sensitivity to assumptions.

Sequential Monte Carlo simulation samples chronological weather, demand, equipment states, and operating decisions. Non-sequential methods enumerate states or use analytical approximations. Simulation results are only as credible as the input data and model structure. Correlated failures, common-cause events, and insufficient data can dominate the uncertainty.

7. Resilience Analysis

Reliability generally concerns expected performance under recurring disturbances. Resilience concerns the system’s response to disruptive events that may be rare, severe, spatially extensive, or evolving. A resilience framework includes:

  • preparation: hardening, vegetation management, spares, training, and emergency plans;
  • absorption: maintaining critical functions during disturbance;
  • recovery: restoring customers and system capability quickly; and
  • adaptation: learning from events and changing designs or procedures.

Useful resilience measures include undergrounding selected circuits, flood protection, fire-resistant construction, mobile transformers, black-start resources, islandable microgrids, sectionalizing, mutual-aid agreements, fuel diversity, communication redundancy, and critical-load prioritization. Measures should be targeted using hazard maps, asset exposure, vulnerability, and consequence analysis. Universal hardening is rarely economically justified.

Resilience analysis should model interdependencies. For example, a substation may remain physically intact while losing telecommunications, fuel delivery, road access, or control-center connectivity. Climate change complicates historical estimation because the frequency and severity of hazards may no longer be stationary.

8. Life-Cycle Asset Management

Asset management coordinates asset performance, risk, cost, and organizational objectives over the entire life cycle. The central question is not simply “When will the asset fail?” but “What intervention provides the required service at acceptable life-cycle risk and cost?”

The asset life cycle includes specification, design, procurement, construction, commissioning, operation, maintenance, refurbishment, replacement, and disposal. Important asset classes include transformers, circuit breakers, cables, overhead lines, protection relays, batteries, control systems, and information-technology equipment.

Maintenance strategies

  • Corrective maintenance: repair after failure; inexpensive for low-consequence assets but risky for critical equipment.
  • Preventive maintenance: scheduled inspection or replacement based on time or usage.
  • Condition-based maintenance: intervention based on measured condition.
  • Predictive maintenance: use of models and data to estimate future deterioration or failure.
  • Reliability-centered maintenance: select tasks according to function, failure mode, consequence, and cost.

Condition indicators for transformers may include dissolved-gas analysis, insulation power factor, oil quality, bushing condition, winding temperature, and tap-changer behavior. For overhead lines, indicators may include conductor temperature history, corrosion, insulator condition, vegetation proximity, and tower foundations.

A basic risk-prioritization model is:

Asset Risk = Probability of Failure × Consequence of Failure

Probability may be estimated from age, condition, loading, environment, and failure history. Consequence may include safety, customer interruption, environmental release, repair time, replacement cost, and system instability. The product is a prioritization aid, not a complete decision rule; uncertainty and non-linear consequences require professional judgment.

Life-cycle economic comparison

Two alternatives should be compared over a common study period using consistent assumptions. Relevant costs include initial capital, engineering, land, operating and maintenance costs, losses, outage costs, environmental compliance, cybersecurity, major refurbishment, decommissioning, and residual value. A technically cheaper asset may be inferior if it has shorter life, higher losses, greater outage consequence, or poor adaptability.

Multi-criteria decision analysis can combine quantitative and qualitative criteria. Weights must be disclosed because changing weights can change the preferred option. Decision-makers should avoid hiding political or ethical judgments behind an apparently precise score.

9. Integrated Investment Evaluation

A robust investment comparison considers at least four dimensions:

DimensionRepresentative questions
TechnicalDoes the option meet thermal, voltage, stability, protection, and flexibility requirements?
EconomicWhat are life-cycle cost, risk reduction, and affordability?
EnvironmentalWhat are emissions, land, water, waste, and biodiversity effects?
Social and regulatoryDoes it protect vulnerable customers and satisfy planning and licensing requirements?

Sensitivity analysis should vary demand growth, fuel prices, carbon prices, discount rates, equipment costs, outage rates, renewable output, and climate hazards. Real-options thinking is useful where staged investment has value: a planner may build a smaller initial project, preserve an expansion corridor, and defer later expenditure until uncertainty is resolved.

10. Illustrative Case: Regional Grid Expansion

Background

A fictional regional utility serves 1.2 million customers. Current peak demand is 2,400 MW, annual energy is 12,614 GWh, and the system has a 2,850 MW dependable-capacity portfolio. A rapidly growing industrial zone is expected to increase regional peak demand by 3% annually for five years. The zone is connected through two 230-kV corridors, one of which is already heavily loaded.

Problem

The utility must determine whether to construct a new transmission circuit, install 300 MW of battery storage, procure demand response, or combine these measures. The decision must satisfy an N−1 criterion and reduce expected unserved energy without excessive cost or environmental impact.

Analysis

The five-year peak forecast is:

P5 = 2,400(1.03)5 ≈ 2,782 MW

The existing dependable capacity appears sufficient in an energy-balance calculation, but a 250 MW generator outage and an industrial-zone transmission outage create local deficits. Power-flow studies show that the existing corridor exceeds its emergency rating after the loss of one circuit. The battery can reduce peak loading for four hours, but it cannot replace a transmission path during a prolonged outage unless it is adequately charged and located near the affected load.

A probabilistic study finds that the transmission-only alternative has the lowest EUE but significant permitting cost and a long construction period. The storage-plus-demand-response alternative reduces ordinary peak loading and delays construction, but its performance depends on customer participation, battery availability, and duration. A staged portfolio—150 MW of battery storage, 100 MW of firm demand response, targeted reconductoring, and a new circuit initiated through an advance-permitting program—provides better flexibility.

Approach and outcome

The utility adopts the staged portfolio. It verifies battery state-of-charge requirements, contracts measurable demand response, improves protection and automation, and begins environmental assessment for the new circuit. Annual reviews compare actual load, industrial connection schedules, battery performance, and contingency results against trigger values for proceeding with the full circuit.

Learning points

  1. Capacity adequacy does not guarantee network adequacy.
  2. Storage power and energy duration must both be modeled.
  3. N−1 analysis identifies deterministic violations; probabilistic analysis ranks their risk.
  4. Staged investment can preserve flexibility under uncertain growth.
  5. Demand response must be tested for availability and performance, not counted as nameplate capacity without evidence.

11. Governance, Data, and Emerging Technologies

Planning models require auditable data, version control, transparent assumptions, and independent review. Regulators commonly require reliability standards, reporting, contingency criteria, vegetation-management rules, protection requirements, and environmental approvals. Asset decisions should consider safety and equity: rural and low-income customers may experience different interruption impacts and may have less ability to adopt backup resources.

Artificial intelligence can assist with load forecasting, anomaly detection, image-based inspection, failure prediction, and restoration prioritization. However, AI systems may reproduce biased historical data, fail under changing conditions, or provide predictions that cannot be explained to operators. They should support—not replace—engineering validation, secure data governance, human oversight, and contingency testing.

Digitalization also increases cyber risk. Supervisory control systems, intelligent electronic devices, inverter controls, and cloud platforms expand the attack surface. Cybersecurity should be incorporated during design through segmentation, authentication, patch management, monitoring, backup control modes, incident response, and recovery exercises.

12. Challenges and Best Practices

Major challenges include uncertain electrification, distributed generation, inverter-dominated operation, limited supply-chain capacity, climate change, aging workforces, imperfect failure data, and conflicting stakeholder objectives.

Best practices are to:

  • use scenarios rather than one deterministic forecast;
  • coordinate generation, transmission, distribution, and flexibility planning;
  • distinguish nameplate, dependable, and accredited capacity;
  • test credible contingencies and common-cause risks;
  • combine deterministic standards with probabilistic risk metrics;
  • evaluate resilience separately from routine reliability;
  • prioritize assets by condition, consequence, and uncertainty;
  • compare alternatives over their full life cycle;
  • document assumptions and perform sensitivity analysis; and
  • update plans using measured performance and post-event learning.

Chapter Summary

Power-system planning is a coordinated process for ensuring that future electricity demand can be served safely, reliably, economically, and sustainably. Load forecasts should include energy, peak, hourly, spatial, and flexible demand, together with uncertainty scenarios. Generation planning must consider dependable capacity, reserve, flexibility, fuel, emissions, and location. Network planning must test thermal, voltage, stability, protection, and transfer constraints.

N−1 security is a deterministic test of credible single-element outages, whereas probabilistic assessment combines event likelihood and consequence. Reliability indices such as SAIFI, SAIDI, CAIDI, LOLE, and EUE quantify different aspects of performance and must be interpreted using consistent definitions. Resilience extends the analysis to preparation, absorption, recovery, adaptation, and interdependent hazards.

Life-cycle asset management integrates condition, failure probability, consequence, maintenance, replacement, cost, and risk. Investment alternatives should be compared using technical, economic, environmental, social, and regulatory criteria. Effective planning is iterative, evidence-based, transparent, and adaptable to technological and climatic change.

Key Terms

Adequacy: The ability of available resources to meet demand and operating requirements.

Asset management: Coordinated management of assets and activities to achieve required performance at acceptable life-cycle risk and cost.

CAIDI: Average interruption duration for customers who experience an interruption.

Contingency analysis: Evaluation of system behavior after specified outages or disturbances.

EUE: Expected unserved energy, usually measured in MWh per year.

Load factor: Average demand divided by peak demand over a defined period.

LOLE: Expected duration or frequency of insufficient supply, depending on the stated convention.

N−1 security: Requirement that the system remain within specified limits after one credible element outage.

Probabilistic risk assessment: Analysis that combines event probabilities with consequences.

Reserve margin: Capacity above peak demand expressed as a percentage of peak demand.

Resilience: Ability to prepare for, withstand, recover from, and adapt to disruptive events.

SAIDI: Average total interruption duration per customer.

SAIFI: Average number of interruptions per customer.

Security: Ability to withstand specified disturbances while maintaining acceptable operation.

Value of lost load: Estimated economic value of electricity not supplied.

Condition-based maintenance: Maintenance initiated by observed asset condition.

Dependable capacity: Capacity expected to be available under defined conditions.

Life-cycle cost: Total cost of an asset from acquisition through operation and disposal.

Review Questions

Short Answer Questions

  1. Distinguish resource adequacy from transmission adequacy.
  2. Why is a point load forecast insufficient for major investment decisions?
  3. What does the N−1 criterion require?
  4. Define SAIFI and SAIDI.
  5. Why should asset risk include both probability and consequence?

Long Answer Questions

  1. Explain the stages of an integrated power-system planning process.
  2. Compare trend, regression, time-series, and end-use load-forecasting methods.
  3. Explain how deterministic contingency analysis differs from probabilistic reliability assessment.
  4. Discuss the difference between reliability and resilience, including suitable planning measures for each.
  5. Describe how life-cycle asset management can improve decisions about maintenance, refurbishment, and replacement.

Analytical / Application Questions

  1. A utility has a current peak demand of 600 MW and forecasts annual growth of 2%. Calculate the demand after eight years using compound growth. State two reasons why the result should not be treated as a final investment requirement.
  2. A system has 1,500 MW of dependable capacity and a 1,300 MW peak demand. Calculate its reserve margin. Explain why this value alone cannot establish N−1 security.
  3. Compare a new transmission line with a battery-storage and demand-response portfolio. Develop a decision framework using technical, economic, environmental, reliability, and resilience criteria, and identify the data required for the comparison.

Multiple Choice Questions with Answers

Question 1

Which quantity is directly calculated by dividing average demand by peak demand?

A. Reserve margin

B. Load factor

C. Failure rate

D. Expected unserved energy

Correct Answer: B. Load factor

Question 2

A system has 1,000 MW of dependable capacity and a 800 MW peak demand. What is its reserve margin?

A. 12.5%

B. 20%

C. 25%

D. 80%

Correct Answer: C. 25%

Question 3

What is the principal purpose of an N−1 contingency study?

A. To forecast annual energy consumption

B. To test operation after one credible element outage

C. To calculate the market price of electricity

D. To estimate appliance ownership

Correct Answer: B. To test operation after one credible element outage

Question 4

Which reliability index measures average interruption duration per customer?

A. SAIFI

B. SAIDI

C. CAIDI

D. LOLP

Correct Answer: B. SAIDI

Question 5

Expected unserved energy is calculated by summing which product over modeled states?

A. Capacity and demand

B. Failure rate and repair time

C. State probability and unserved energy

D. Voltage and current

Correct Answer: C. State probability and unserved energy

Question 6

Which statement best distinguishes resilience from routine reliability?

A. Resilience applies only to generation plants

B. Resilience addresses preparation, recovery, and adaptation to severe disturbances

C. Resilience ignores restoration time

D. Resilience is identical to reserve margin

Correct Answer: B. Resilience addresses preparation, recovery, and adaptation to severe disturbances

Question 7

Which maintenance strategy uses measured equipment condition to determine intervention timing?

A. Corrective maintenance

B. Calendar-only maintenance

C. Condition-based maintenance

D. Emergency load shedding

Correct Answer: C. Condition-based maintenance

Question 8

Why can nameplate renewable capacity overstate its contribution to resource adequacy?

A. Nameplate capacity is always measured in MWh

B. Renewable output depends on weather and timing relative to demand

C. Renewables cannot be connected to transmission systems

D. Renewable plants have no operating costs

Correct Answer: B. Renewable output depends on weather and timing relative to demand

Question 9

In the simple risk expression Risk = ∑ pi × ci, what does c_i represent?

A. The probability of event i

B. The consequence of event i

C. The discount rate

D. The load factor

Correct Answer: B. The consequence of event i

Question 10

Which practice is most appropriate when future demand and technology costs are highly uncertain?

A. Use only the highest historical demand

B. Ignore uncertainty until construction begins

C. Use scenarios, sensitivity analysis, and staged investment triggers

D. Replace all probabilistic studies with reserve margin calculations

Correct Answer: C. Use scenarios, sensitivity analysis, and staged investment triggers

Power Systems
Chapter 13 of 15