Thermodynamics: Rankine Cycle and Efficiency
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Questions and Answers

What is the purpose of the Pilot Operated Safety Relief Valve (POSRV) in the pressurizer system?

  • To control the temperature of the reactor
  • To enhance the heating capacity of the coolant
  • For over-pressure protection and safety depressurization (correct)
  • To increase the coolant flow rate
  • Which material is used for the steam generator tubes to improve durability?

  • Carbon Steel
  • Titanium Alloy
  • Inconel 690 (correct)
  • Stainless Steel 304
  • What feature is included in the design of the reactor coolant pump to reduce leakage?

  • Single stage impeller design
  • Horizontal discharge
  • Vertical bottom suction
  • Face-type mechanical seals (correct)
  • How many tubes are used in each steam generator?

    <p>13,102 (C)</p> Signup and view all the answers

    What is the primary function of the reactor vessel in the coolant system?

    <p>To contain the nuclear fission process (C)</p> Signup and view all the answers

    What type of turbine is used in the power generation system?

    <p>Tandem-Compound Turbine (D)</p> Signup and view all the answers

    What is the role of the coolant volume at full power in the pressurizer design?

    <p>Provide stability against RCS transients (B)</p> Signup and view all the answers

    What is the speed of the turbine used in the generator?

    <p>1,800 rpm (B)</p> Signup and view all the answers

    What happens to vapor in the Rankine Cycle after it expands through the turbine?

    <p>It generates electricity by spinning the turbine. (A)</p> Signup and view all the answers

    What is the formula for thermodynamic efficiency in the Rankine Cycle?

    <p>η = Net Work Out / Heat Added (B)</p> Signup and view all the answers

    In calculating the Carnot efficiency, what does THOT represent?

    <p>Temperature of the hot reservoir in absolute terms (D)</p> Signup and view all the answers

    What is the absolute temperature conversion from 50°C?

    <p>321 K (C)</p> Signup and view all the answers

    Which of the following represents an ideal cycle for thermal efficiency?

    <p>Carnot Cycle (C)</p> Signup and view all the answers

    What phase occurs immediately after the vapor (wet) enters the condenser in the Rankine Cycle?

    <p>It turns back into liquid water. (D)</p> Signup and view all the answers

    In a fossil fuel steam power plant, what type of energy is NOT directly converted?

    <p>Transition Energy (A)</p> Signup and view all the answers

    What is initially done to the molten salt in a concentrating solar power plant?

    <p>It is heated to high temperatures using sunlight. (D)</p> Signup and view all the answers

    What is the primary function of a Pressurized Water Reactor (PWR) in its cooling system?

    <p>To heat a steam generator to produce steam for power generation (C)</p> Signup and view all the answers

    Which type of nuclear reactor uses thermal neutrons with energies less than 1 eV?

    <p>Thermal reactors (D)</p> Signup and view all the answers

    What percentage of global electricity production was attributed to nuclear energy in 2012?

    <p>11% (B)</p> Signup and view all the answers

    Which reactor type is known for its dual-loop cooling system?

    <p>Pressurized Water Reactor (D)</p> Signup and view all the answers

    What is a unique characteristic of nuclear power that sets it apart from other energy sources?

    <p>Specialized technology and design knowledge (B)</p> Signup and view all the answers

    Which of the following best describes the function of decay heat in nuclear reactors?

    <p>Generates thermal energy even after the reactor is shut down (B)</p> Signup and view all the answers

    What type of nuclear reactor uses deuterium as a moderator?

    <p>Heavy Water Reactor (B)</p> Signup and view all the answers

    Which energy source contributed 67% to global electricity production in 2012?

    <p>Fossil fuels (D)</p> Signup and view all the answers

    What is the primary role of the fuel cladding in nuclear reactors?

    <p>To contain heat and seal the fuel pellets (A)</p> Signup and view all the answers

    How many power reactors are currently under construction worldwide?

    <p>69 (C)</p> Signup and view all the answers

    In which reactor type does water vaporization occur directly in the reactor core?

    <p>Boiling Water Reactor (D)</p> Signup and view all the answers

    Which factor significantly influences the selection of nuclear reactor designs?

    <p>Neutron energy and moderator used (A)</p> Signup and view all the answers

    What does the acronym GWe stand for in the context of nuclear power?

    <p>Gigawatts of electricity capacity (A)</p> Signup and view all the answers

    What is the principal reason nuclear power tends to favor large-capacity power plants?

    <p>Economy of scale (C)</p> Signup and view all the answers

    What critical factor is emphasized for nuclear power in terms of investment?

    <p>Considerable up-front investment (A)</p> Signup and view all the answers

    Which technology is currently not in widespread use and is mentioned in relation to nuclear energy costs?

    <p>Carbon-capture technology (B)</p> Signup and view all the answers

    How is nuclear power described in comparison to renewable sources of energy?

    <p>Cost-competitive (D)</p> Signup and view all the answers

    What challenge is primarily associated with nuclear power due to its scale?

    <p>Need for large financial resources (A)</p> Signup and view all the answers

    What is a potential disadvantage of nuclear energy mentioned concerning environmental technologies?

    <p>Lack of carbon-capture technology (B)</p> Signup and view all the answers

    Why might large corporations find nuclear power appealing despite its costs?

    <p>Consistent energy output (C)</p> Signup and view all the answers

    What is a common misconception regarding the financial aspects of nuclear power?

    <p>It has negligible upfront costs (C)</p> Signup and view all the answers

    What is the primary purpose of Levelized Cost of Electricity (LCOE)?

    <p>To compare unit costs of different technologies over their economic lives (B)</p> Signup and view all the answers

    Which of the following costs is NOT included in the LCOE calculation?

    <p>Employee salaries (C)</p> Signup and view all the answers

    What does a high discount rate indicate regarding perceived investment risks?

    <p>It indicates a higher perceived investment risk (B)</p> Signup and view all the answers

    How is the present value calculated in relation to future cash flows and the discount rate?

    <p>Future Value at time t divided by (1+r)^t (B)</p> Signup and view all the answers

    Which variable is directly described as the interest rate used to evaluate future cash flows?

    <p>Discount rate (r) (D)</p> Signup and view all the answers

    In the context of LCOE, what does 'E' represent?

    <p>Cost of producing electricity in year 't' (B)</p> Signup and view all the answers

    Why must the discount rate (r) and time (t) be compatible in calculations?

    <p>To reflect the correct compounding intervals (A)</p> Signup and view all the answers

    What does the term 'time-value of money' indicate in the context of the discount rate?

    <p>Money available now is worth more than the same amount in the future (C)</p> Signup and view all the answers

    What does capital intensity reflect in power generation?

    <p>The vulnerability to changes in output price and demand (B)</p> Signup and view all the answers

    Which power generation technology is mentioned as potentially having higher long-term cost efficiency?

    <p>Nuclear power plants (B)</p> Signup and view all the answers

    What is the major contributor to lifetime cost (LCOE) according to the cost structure?

    <p>Capital investment (C)</p> Signup and view all the answers

    Which of these risks is classified under market risk?

    <p>Electricity price fluctuations (B)</p> Signup and view all the answers

    What is a noted challenge in the construction of new reactors?

    <p>Common construction delays and expenses (C)</p> Signup and view all the answers

    For gas-powered plants, what is the largest contributor to LCOE?

    <p>Fuel costs (D)</p> Signup and view all the answers

    What does the 5% discount rate indicate in the cost structure?

    <p>Different allocation of total cost components (A)</p> Signup and view all the answers

    What is a noted uncertainty factor for carbon capture and storage technologies?

    <p>Considerable cost uncertainties (D)</p> Signup and view all the answers

    Which risk relates to the licensing and approval processes for energy production plants?

    <p>Regulatory risk (C)</p> Signup and view all the answers

    What factor impacts the operational costs and availability of power generation plants?

    <p>Consumer demand fluctuations (B)</p> Signup and view all the answers

    Flashcards

    Rankine Cycle Efficiency

    The ratio of net work output to heat added in the Rankine cycle.

    Carnot Cycle Efficiency

    The maximum theoretical efficiency for any heat engine operating between two temperatures.

    Absolute Temperature

    Temperature measured from absolute zero, using Kelvin scale.

    Fossil Fuel Steam Power Plant Process

    A power plant that converts chemical energy from fossil fuels to electrical energy through a Rankine cycle using steam.

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    Concentrating Solar Power

    Solar power method that collects sunlight on a large scale to generate heat to drive a turbine.

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    Turbine Function

    A mechanical device used in power plants to transform the energy of expanding steam into rotational energy, thus generating electricity.

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    Power Plant Efficiency

    The measure of how effectively a power plant converts fuel energy into electrical energy.

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    Rankine Cycle Process Stages

    A thermodynamic cycle consisting of steps like vapor expansion in a turbine and heat addition.

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    Reactor Coolant System Loop Components

    The reactor coolant system (RCS) loop in a nuclear power plant typically consists of a reactor vessel, pressurizer, steam generators, recirculating coolant pumps, hot legs, and cold legs.

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    Pressurizer Function

    The pressurizer in the RCS maintains a constant pressure for the coolant by using heating elements and a pressure relief valve. It helps control the volume and pressure of the coolant.

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    Steam Generator Role

    The steam generator transfers heat from the high-pressure primary coolant to a secondary water loop, generating steam that drives the turbines.

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    Reactor Coolant Pump (RCP) Purpose

    RCPs circulate the high-pressure, high-temperature coolant through the reactor vessel, steam generators, and pressurizer.

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    RCP Shaft Seal Design

    The RCP shaft seal assembly uses multiple mechanical seals to isolate the reactor coolant from the atmosphere, reducing leakage and maintaining pressure integrity.

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    Turbine Type & Function

    The turbine in a nuclear power plant is a tandem-compound turbine, combining high-pressure and low-pressure sections. It converts steam energy into rotational energy, driving the generator to produce electricity.

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    Generator Key Features

    The generator is a direct-driven, conductor-cooled device that converts mechanical energy from the turbine into electricity.

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    SG Tube Design

    Steam generator tubes are made of Inconel 690, a corrosion-resistant material, with a large number of tubes to maximize heat transfer efficiency.

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    LCOE

    The Levelized Cost of Electricity (LCOE) is a metric used to compare the cost of producing electricity from different technologies over their entire lifespan. It considers all costs, including investments, operations, maintenance, fuel, carbon emissions, and eventual decommissioning, taking into account the time value of money.

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    Discount Rate (r)

    The discount rate is the interest rate used to calculate the present value of future cash flows. It reflects the time value of money and the risk associated with receiving those future cash flows.

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    Time Value of Money

    The concept that money today is worth more than the same amount of money in the future because of its potential to earn interest (or grow) over time.

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    Investment Risk

    The possibility that an investment will not yield the expected return or may even lead to loss.

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    How to compare the costs of different technologies?

    The LCOE is a valuable tool to compare the costs of electricity generated by different technologies over their economic lives. It takes into account all relevant costs, including initial investment, operational expenses, fuel costs, environmental costs, and decommissioning expenses.

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    What factors influence the LCOE?

    Several factors influence the LCOE, including initial investment costs, operational and maintenance expenses, fuel costs (for fossil fuel-based technologies), carbon emission costs, and decommissioning expenses. The time value of money is also a key factor, incorporated through the discount rate.

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    Why are many input values uncertain in LCOE calculations?

    In LCOE calculations, many input values are uncertain and vary over time and by region. This uncertainty stems from factors such as fluctuating fuel prices, evolving technologies, changes in regulatory policies, and the inherent unpredictability of the future.

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    What happens to the LCOE when investment risk increases?

    When investment risk increases, the discount rate used to calculate the LCOE also increases. This results in a higher LCOE, reflecting the perceived higher risk associated with the investment.

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    Enriched Uranium

    Uranium with a higher percentage of U-235, making it suitable for nuclear fission reactions.

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    Global Electricity Sources (2012)

    In 2012, fossil fuels dominated electricity production (67%), followed by renewables (22%), nuclear (11%), and hydro (17%).

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    Nuclear Power's Impact

    Nuclear power plants play a significant role in worldwide electricity production, despite the Fukushima accident in 2011.

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    Current State of Nuclear Power

    As of 2012, 41 reactors were in long-term outage, 69 under construction, 96 planned, and 83.5GWe of new capacity planned.

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    Nuclear Power's Emissions

    Nuclear power plants emit less greenhouse gases than fossil fuels, considering the entire fuel cycle.

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    Energy Demand and CO2

    Growing global energy demand is a major driver of CO2 emissions.

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    Nuclear Power's Unique Aspects

    Nuclear power requires specialized technology for fuel, managing decay heat, handling radioactive waste, and safety concerns due to dual-use potential.

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    Nuclear Power's 3S

    Nuclear power plants require robust measures for Safety, Security, and Safeguards to mitigate risks.

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    Reactor Vessel Internals

    The reactor vessel houses fuel assemblies arranged in a regular array. These assemblies contain fuel rods, which consist of stacked fuel pellets sealed inside a cladding.

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    Nuclear Power Reactor Classification

    Nuclear power reactors are categorized by neutron energy (thermal or fast), moderator, coolant, fuel type, and enrichment level.

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    Boiling Water Reactor (BWR)

    In a BWR, the reactor coolant directly drives the turbine, creating steam that spins the turbine and generates electricity.

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    Pressurized Water Reactor (PWR)

    PWRs use two circulatory systems: primary (reactor coolant) and secondary (steam generator). The primary loop heats the secondary loop, generating steam for the turbine.

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    Canadian Deuterium-Uranium Reactor (CANDU)

    CANDU reactors utilize heavy water as both the moderator and coolant, with two separate loops for reactor cooling and steam generation.

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    Gas-Cooled Reactor (GCR)

    GCRs use a gas, like CO2, as the primary coolant, and can be either thermal or fast reactors.

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    Nuclear Power Plant Capacity

    Nuclear power plants worldwide have a combined capacity of 380GWe (gigawatts), with various stages of development (operational, under construction, planned).

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    Cost-Competitive Source

    A power generation technology that can produce electricity at a price comparable to other options.

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    Economy of Scale

    The principle that larger power plants are generally more cost-efficient.

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    Up-Front Investment

    Large expenditure required at the beginning of a project, especially for large power plants.

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    Carbon Capture

    Technology used to capture and store carbon dioxide emissions from power plants.

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    Nuclear Power Economics

    An economic analysis of the costs and benefits of nuclear power generation.

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    Nuclear Power Advantages

    Benefits of nuclear power compared to other energy sources, including cost competitiveness and low carbon emissions.

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    Renewables Cost Comparison

    Analyzing the price of generating electricity from renewable sources compared to other technologies.

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    No Single Solution

    There's no one best energy generation technology for every situation, different options have different advantages and disadvantages.

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    Capital Intensity

    The vulnerability of a project or asset to changes in output price or demand.

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    Risk & Capital Costs

    Higher risk generally implies higher costs for capital investment.

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    Nuclear Power Plant Costs

    Large nuclear power plants often have lower long-term costs due to economies of scale. However, they carry high initial investment risks.

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    LCOE Breakdown

    Lifetime costs of a power plant are broken down into Capital Investment, O&M, Fuel, CO2, and Decommissioning costs.

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    LCOE & Discount Rate

    Increasing the discount rate (r) emphasizes capital investment costs, making them weigh heavier in the LCOE calculation.

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    Gas vs. Nuclear LCOE

    Gas-powered plants have lower LCOE due to cheaper fuel, but significantly higher fuel cost variability.

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    Plant Risk Factors

    Risks associated with power generation include construction costs, lead time, operational costs, and availability.

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    Market Risk Factors

    Risks related to the electricity market include fuel costs, consumer demand, competition, and the price of electricity.

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    Regulatory Risk Factors

    Regulatory risks involve market design, CO2 constraints, transmission licensing, and energy efficiency regulations.

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    Policy Risk Factors

    Policy risks involve environmental standards, technology support, and the overall policy landscape.

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    Study Notes

    Rankine Cycle Process

    • Vapor (dry) expands through turbine, causing the turbine to spin and generate electricity.
    • Vapor (wet) then enters the condenser.
    • The cycle restarts at point 1.

    Thermodynamic Efficiency

    • Efficiency (η) is calculated as Net Work Out / Heat Added.
    • The Carnot Cycle efficiency (ηc) is calculated as (THOT - TCOLD) / THOT, where THOT is the high temperature and TCOLD is the low temperature.
    • Absolute temperature (T) is calculated as T(Absolute) = T(Centigrade) + 273°.
    • The Rankine cycle is less efficient than the Carnot cycle.

    Fossil Fuel Steam Power Plant

    • Water is converted into steam.
    • Steam passes through a throttling valve.
    • The main turbine uses the steam to produce electricity.
    • The main condenser lowers steam temperature and pressure.
    • Chemical energy is converted into thermal, kinetic, and mechanical energy, finally to electrical energy.

    Concentrating Solar Power Plant

    • Sunlight is concentrated by heliostats to a receiver.
    • Molten salt is pumped through the receiver and heated to 1050°F.
    • The heated salt is stored in a hot salt tank.
    • Molten salt is pumped from the hot salt tank through a steam drum to create steam to power a turbine and generator.
    • Cold salt flows back to the cold salt tank.

    Nuclear Fueled Steam Plant

    • Nuclear energy is converted to thermal energy, then to kinetic energy and finally to mechanical energy and then into electrical energy.

    Nuclear Fission Energy

    • Fissioning 1 kg of U-235 is equivalent to burning 3,000 tons of coal.
    • Uranium in nature is mostly U-238 (99.3%) and a smaller amount is U-235 (0.7%).

    Where the Thermal Energy (Heat) Comes From

    • UO2 fuel pellets are enriched to 3-5% U-235.
    • The typical nuclear power system involves a reactor vessel, reactor core, containment structure, and turbine/generator/condenser.

    Global Electricity Production (2012)

    • Fossil fuels make up 67% of global electricity production.
    • Renewables account for 22%.
    • Nuclear energy accounts for 11%.
    • Other sources including hydro, wind, solar, geothermal and biomass make up the remaining percentage.

    World Nuclear Energy Production

    • Production has risen steadily from the 1980s, reaching a peak just before 2010.
    • The Fukushima nuclear accident in 2011 led to a drop in production.

    Current Status of World Nuclear Power

    • The world currently has 439 nuclear reactors.
    • Approximately 380 GWe of installed capacity;
    • There are plans to build new capacity.
    • Current data is from January 2012.

    Greenhouse Gas Emissions

    • The median life cycle GHG emissions for various sources show nuclear power as a much lower emission technology compared to others.

    Energy Demand & CO2 Emissions

    • World primary energy demand is increasing, especially around 2020.
    • Fossil fuels still dominate energy demand and CO2 emissions.
    • Renewable energies are gaining market share.

    Safety, Safeguards, and Security

    • Nuclear fuel, decay heat, nuclear waste and dual-use are unique characteristics of nuclear power plants

    Typical Nuclear Power System

    • The essential components of a typical nuclear power plant.

    NSSS - Reactor Vessel Internals

    • Fuel rods are grouped into assemblies.
    • Ceramic fuel pellets are stacked inside a metallic alloy case to form the fuel rod.
    • Fuel assembly is an organized structure.

    Types of Nuclear Power Reactors

    • Reactors are categorized by neutron energy (thermal or fast) and moderator/coolant type.
    • Key reactor types include Light Water Reactors (PWR, BWR), Gas-cooled Reactors, and Heavy Water Reactors (CANDU).

    Boiling Water Reactor (BWR)

    • Reactor coolant boils directly in the core, producing steam that drives the turbine.
    • Condensation and return to core complete the cycle.
    • Design is simpler than the PWR.

    Pressurized Water Reactor (PWR)

    • Reactor coolant heats a separate steam generator, creating steam to drive the turbine.
    • Two distinct water circuits (primary and secondary) are used.

    Canadian Deuterium-Uranium Reactors (CANDU)

    • Two distinct loops (primary and secondary) are used.

    Gas-Cooled Reactor - Magnox CO2

    • Two loops are used in the gas-cooled reactor.
    • The graphite moderator, pressure vessel, fuel rods, etc, are all crucial components.

    Nuclear power plants in commercial operation

    • Different reactor types, main countries, operational capacity, and fuel/coolant/moderator information.

    Pressurized Water Reactor

    • The primary and secondary water loops do not mix.
    • Steam is generated in a secondary system and drives the turbine.

    Reactor Power System Layout

    • Schematic presentation of the complete layout of a power reactor.

    APR1400 Nuclear Steam Supply System in Containment

    • An illustration of the nuclear steam supply system within the containment.

    NSSS - Reactor Vessel

    • The vessel's design and function as a pressure boundary.

    NSSS - Reactor Coolant System

    • Configuration details of the coolant system, including components like a reactor vessel, pressurizer, steam generators, and circulating pumps, etc

    NSSS - Steam Generator (SG)

    • Steam generator tube design and improvements for stability.

    NSSS - Pressurizer

    • Pressurizer volume, values and pilot operated safety relief valves, protection of over pressure.

    NSSS – Reactor Coolant Pump (RCP)

    • Vertical bottom suction, horizontal discharge, single stage impeller, shaft seal assembly, etc

    Turbine & Generator

    • Details on the turbines (HP and LP turbines), generator type and voltage, frequency, etc.

    What are the costs?

    • Costs related to power plant siting, licensing, construction, fuel, operations, maintenance and decommissioning.

    Construction Costs

    • Comparison of construction costs for different energy sources.

    Fuel Costs

    • Fuel costs for different power production technologies.

    Operations and Maintenance Costs

    • O&M costs for different power production technologies.

    Land Use & Cost of CO2 Emissions

    • Land use and carbon tax costs of various energy sources.

    What are some incentives?

    • Government support (tax incentives, subsidies, loan guarantees) and industry options (consortia, alternative options, public opinion) for energy projects.

    Economic Considerations

    • Levelized cost of electricity (LCOE) comparison methodology and calculation.

    Discount Rate (r)

    • Interest rate determination of present value of future cash flows.
    • Accounts for time-value of money and investment risk.

    Effect of Risk on Capital Costs: Intensity

    • Capital intensity analysis concerning the change in output prices and demand.

    Cost & Capacity Comparison

    • Comparing costs and capacities using median case specifications.

    Cost Structure

    • Cost Structure analysis considering 5% and 10% discount rates.

    Main Risk Factors for Investment in Power Generation

    • Risk factors related to plant operation, market forces, regulation and policy measures, to be considered when estimating LCOE.

    Main Risk Factors for Investment in Power Generation

    • Summary regarding technological options, unit size, time to lead, capital cost, operational cost, fuel cost, emission cost, and regulatory risks for the different energy options.

    Cost Summary

    • Summary of total global costs of producing electricity.

    Conclusions

    • No single technology is the least expensive for all situations.
    • Nuclear power is cost-competitive when costs for carbon capture are considered.

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