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Need for integrated simulations: Integration of electricity supply and demand. Kenneth Bruninx with Erik Delarue and William D’haeseleer. Basic principles of electricity generation. Electric power Travels at speed of light Is difficult to store
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Need for integrated simulations: Integration of electricity supply and demand Kenneth Bruninx with Erik Delarue and William D’haeseleer
Basic principles of electricity generation Electric power • Travels at speed of light • Is difficult to store → Supply must meet demand instantaneously • Network required for transport • High voltage – Transmission • Low voltage – Distribution Demand [MW] Time [h]
Basic principles of electricity generation Different technologies used and scheduled to meet demand
Technologies Electricity generation system is mix of • Dispatchable units • Non-dispatchable units • Often intermittent • Storage
Technologies Dispatchable units: output can be activelycontrolled • Nuclear, coal, lignite • Rankine steam cycle • Large units ~1000 MW • Continuous flat operation (?) • Gas Combined Cycle • Braytongas cycle + Rankine steam cycle • η ≈ 50%-55% • Typical size: ~400 MW • Flexible operation • Gas turbine • Peak units, very flexible • Renewable Energy Sources (RES) • Biomass, hydro (basin)
Technologies Non-dispatchable units: output cannot (or only limitedly) be controlled • Intermittent units • Variableoutput • Output is predictableonly to limited extent • Wind and solar photovoltaics (PV) • Zero marginal cost
Technologies Variable output & limited predictability
Technologies • Storage • Pumped hydro storage • Compressed Air Energy Storage (CAES) • Flywheels • Batteries • H2, CH4 • …
Power plant scheduling Given portfolio of power plants, how to meet certain electricity demand? • At lowest variable cost • Significant amount can be non-dispatchable generation • Taking into account technical constraints of power plants • Taking into account safety margins • Dealing with uncertainties • Network restrictions, import/export This optimization problem is known as the unit commitment problem • Difficult to solve because of on/off nature of decision variables • Required to represent start-up costs and start-up behavior, minimum operating point, minimum up & down times
Power plant scheduling Example of simplified unit commitment • Given set of power plants • Capacity, minimum operating point, efficiency, fuel price, start-up cost, minimum up & down time • Meet certain demand profile • Minimize fuel and start-up costs • Fuel cost dependent on load level • Technical constraints • Respect minimum operating point if on • Respect minimum up & down time Optimized with Mixed Integer Linear Programming (MILP) (Operations Research technique)
Power plant scheduling Example of simplified unit commitment • Given set of power plants • Capacity, minimum operating point, efficiency, fuel price, start-up cost, minimum up & down time • Meet certain demand profile • Minimize fuel and start-up costs • Fuel cost dependent on load level • Technical constraints • Respect minimum operating point if on • Respect minimum up & down time Optimized with Mixed Integer Linear Programming (MILP) (Operations Research technique)
Power plant scheduling • Consider power plants i • Consider time periods j • E.g., one week, hourly time steps: j = 1 … 168
Power plant scheduling • How to meet demand at lowest cost? • Minimize • Supply = Demand With gi,jelectricity generation of plant i in period j [MW] and djelectricity demand in period j[MW]
Power plant scheduling Fuel costs • Assume linear cost behavior between Pmin and Pmax • Other function possible, e.g., quadratic Linear : Fuel cost [€/h] c b ~ η δ Output, g [MW] Pmin Pmax
Power plant scheduling • Deriving c and b from data previous table yields
Power plant scheduling Startup costs • Bringing power online (from zero to 1) incurs a cost • E.g., amount of heat required to bring steam to appropriate temperature and pressure
Power plant scheduling: an example Total installed capacity: 6520 MW One week period (168 h) • Peak demand = 5244 MW (95% of dispatchable capacity) • Given certain intermittent profile
Power plant scheduling Results
Challenges and issues: a paradigm shift Residual load in Germany in 2050
Challenges and issues: a paradigm shift Yearly load duration curves of supluses due to fluctuating electricity supply
Challenges and issues Flexibility will be required • Generation side • Storage • Interconnections • Curtailment • Demand side activation • Through smart grids • Demand side response
Challenges and issues Activation of demand side • Modeling of demand response
Challenges and issues Modeling of demand response • Cost based models • Centrally planned • Incentive payment to consumers (function of amount shifted) • Explicit modeling of flexibility • E.g., heating/cooling systems, transport (including storage) • Price based models • Time-of-use pricing (e.g., two tariff system), critical peak pricing, real time pricing • Demand elasticities • Own and cross price elasticities • Maximizing overall social welfare • Quadratically constrained programming or iterative piecewise linear optimization
Challenges and issues Fixed demand -0.2 own-price elasticity Source: De Jonghe, Delarue, D’haeseleer, Belmans, 2011, PSCC
Challenges and issues Electricity price -0.2 own-price elasticity Source: De Jonghe, Delarue, D’haeseleer, Belmans, 2011, PSCC
Challenges and issues Source: EEX Spot prices
Challenges and issues • Old situation: • Load drives generation • New paradigm: • Generation drives load • Consume when & where there is electricity generation
Integrated modelling: a case study ‘Impact of intelligent thermal systems on electricity generation – a systems approach’ • Research questions: • Effect of DS flexibility on electricity generation • Cost • Carbon intensity • RES utilization • Quantify the usefulness of DS flexibility • Motivation: in literature • OR focus on DS: technology-based analysis • OR focus on SS: economics-based analysis (see example above) Here: integrated approach, where the (economic) flexibility stems from a technology-based model. • Ongoing research
Integrated modelling: a case study Modelling approach: cost-based • Minimize • Supply = Demand With gi,jelectricity generation of plant i in period j [MW] and djelectricity demand in period j[MW] Optimization variable
Integrated modelling: a case study Modelling approach: cost-based • Variable demand is sum of demand of all flexible devicesof all consumer groups • Constraints • Technology: peak power, stored heat • Comfort level
Integrated modelling: a case study No flexibility 20% flexible demand
Integrated modelling: a case study Challenges in modelling • Consumer behaviour • Attendance pattern determines optimal solution • Limited number of consumer groups currently considered (25) • Correct representation of the building stock and its energy storage potential • Problem size • computational effort rises as more flexible device
Conclusions • Forms of RES are non-dispatchable • Intermittent: variability & limited predictability • Impact on dispatchable generation system • Increases flexibility requirements • Can be absorbed by flexible generation if limited • At higher penetration additional flexibility required • Can lead to negative instantaneous residual demand • Storage, interconnections, curtailment, flexible demand • New paradigm: generation drives load • Also other technical, economic and regulatory challenges