Market design for a decarbonized electricity market Anthony Papavasiliou1, Alex Papalexopoulos2, Shmuel Oren3 Abstract This white paper sets forth a series of electricity market design proposals that are targeted towards supporting the transition of European electricity markets to full de-carbonization. The proposed reforms are necessitated by the large-scale integration of renewable energy resources in decarbonized power systems, the required mobilization of distributed flexibility, and the need to properly value services in a market for electric power which is characterized by near-zero marginal cost. We focus on four key elements: (i) the central role of the real-time market and the need to signal scarcity in order to properly remunerate ancillary services; (ii) the alignment between real-time market and forward market products, in order to permit the back-propagation of ancillary service value to long-term investment signals; (iii) the proper demarcation of transmission and distribution system operations and the development of organized Distributed Energy Resources (DER) local markets in the distribution grid in order to permit the mobilization of distributed flexibility of DER assets connected at the edge of the grid aimed at increasing the penetration of renewable generation in the grid while ensuring grid security and resilience at the lowest cost; and (iv) the mobilization of demand-side flexibility through aggregator business models that draw on the successful experience of the information technology and telecommunications sectors. We discuss the transition of the current market towards our envisioned prototype, and we illustrate the effectiveness of our proposals through a series of case studies. 1. Context, Key Drivers, and Challenges The steadiness with which the European Union has pursed its ambitious Roadmap 2050 policy objectives [EC11] is an encouraging sign in the backdrop of a highly uncertain future for global energy policy. Despite the upheaval of environmentally-minded policies in the United States which are imminent following the Trump election, the damage that the Trump administration can inflict on the global renewable energy and electricity market transformation agenda is expected to be limited as a result of major technological innovations, global market forces and the general momentum of EU policy makers towards decarbonization and decentralization in electric power [B17]. The forward-looking policies of the European Commission are targeting a transformation of legacy electric power systems and electricity markets to systems that are increasingly decentralized and reliant on renewable energy supply and consumer flexibility. In this context, we identify the following major challenges for the decarbonized European electricity markets of 2050: (i) Reliable investment signals in a system with near-zero marginal costs, where value is shifting away from energy and into services. (ii) Efficient and reliable short-term operations in the presence of highly variable, uncertain and limitedly controllable renewable power supply, through the harmonization of the real-time market and short-term forward (day-ahead) markets. (iii) Active management of distribution grid resources through a clear demarcation of the roles and responsibilities of transmission system operators, distribution system operators, and aggregators and the development of local DER organized markets. (iv) Mobilization of consumer flexibility at the retail and commercial sector. 1 Université catholique de Louvain, Belgium, [email protected] ECCO international, USA, [email protected] 3 University of California at Berkeley, USA, [email protected] 2 These challenges are interdependent, and a holistic approach is required in confronting them. We propose four pillars, one for attacking each of the four challenges, in section 2. Challenge 1: Migration of value from energy to ancillary services. The introduction of renewable energy resources in electric power systems is exerting downward pressure on energy prices, while increasing the value of reserves. Fast-moving flexible resources that can respond to the increasing needs of the system for ramp capability often exhibit high marginal costs. The large-scale integration of near-zero marginal cost renewable resources is placing these flexible technologies (e.g. combined cycle gas turbines) under financial strain and threatening their retirement from the market. Paradoxically, these are the resources that are best suited for balancing in a future system with large-scale renewable energy penetration. This paradoxical retirement, an artefact of the missing money problem [S03], can be addressed through the correct valuation of reserve capacity in real-time markets, such that the real-time value of this reserve capacity in moderating loss of load probability becomes consistent with system operator practices [H05, H13]. In order for this valuation to be meaningful, it should reflect the uncertainty of net load changes, the loss of load probability, minimum contingency reserve requirements, it should maintain consistency between energy and reserve prices, and ideally it should reflect the co-optimization of energy and reserves. Finally, it should provide a consistent representation of any locational differences in valuing reserves. This correction in the valuation of reserve capacity can be embedded within an integrated common European energy-only market, although the co-existence of this correction in scarcity pricing with capacity remuneration mechanisms is not precluded. The design of a properly functioning real-time market that simultaneously trades energy, ancillary services and transmission capacity is therefore the first step towards generating healthy long-term investment signals, while safeguarding the harmonization of the integrated European energy market. Challenge 2: Harmonization of short-term operations. Once a properly functioning real-time market has been put in place, it is necessary to design a consistent forward day-ahead market that trades the same set of products and is based on the same modeling assumptions in order to preclude gaming opportunities and operational inefficiencies. This implies a need for the pooling and coordination of resources across zones in order to balance out the highly variable fluctuation of renewable supply. It is therefore necessary to define a consistent set of reserve products across European zones, which is certainly feasible given the recent efforts of Central European zones in harmonizing the definition of primary, secondary and tertiary reserves [ER14]. This can be achieved through the simultaneous commitment of energy, reserves and transmission capacity in the day-ahead time frame, which would enable the cross-zonal mobilization of resources for the balancing of renewable supply unpredictability. Congestion management costs, which have recently elevated substantially in a number of European systems [AP17], would be contained as a result of such a reform, and the free-riding of networks through loop flows would be preempted through the pricing and allocation of transmission capacity which is consistent with physical constraints. Challenge 3: Active management of distribution. To a significant extent, renewable resources are being sourced at the low-voltage distribution system. Germany, for example, which represents one of the largest European systems, has integrated 70 GW of solar photovoltaic power and wind power by 2013, in a system with an installed capacity of 192 GW. A significant portion of German solar installed capacity corresponds to rooftop solar panels. At the same time, various storage technologies (such as Tesla power walls) have experienced a remarkable breakthrough in the market. The potential electrification of the transportation sector would correspond to a further paradigm shift in energy systems with profound implications on the flexibility of distribution grid resources. The increasingly important role of distribution system resources in the power system operations paradigm is creating a host of challenges in terms of reverse power flows, reactive power management, voltage constraints, and the aggregation of enormous numbers of distribution system resources in wholesale operations. The traditionally passive role of distribution system operators has afforded little room for coordination with transmission system operators, and the shift towards a system that actively dispatches distributed resources in a scalable and non-intrusive fashion will require the clear definition of the roles and responsibilities of distribution system operators, transmission system operators, and aggregators, as well as a clear definition of the coordination among these entities. Further, the efficient treatment of these challenges will require the development of organized local markets that will optimally dispatch these local assets at the edge of the distribution grid to provide for the maximum penetration of renewable resources and secure the resilience of the grid at the lowest cost. Challenge 4: Mobilization of consumer flexibility at the retail and commercial sector. Once the demarcation of transmission and distribution system operations has been clearly defined, it is possible to identify the value streams for demand-side flexibility and aggregate this flexibility into wholesale and distribution market operations. The requisite flexibility for balancing the operation of highly renewable systems can be sourced to a significant extent from consumer flexibility. The majority of this flexibility can be found in the residential and commercial sector [G14]. Serendipitously, the most flexible consumption tasks of residential consumers (such as wet appliances, i.e. dish washers, washing machines, and tumble dryers) are the ones that are also the most energy-intensive. The economists’ first-best ideal of real-time pricing has failed to mobilize flexibility in the commercial and residential sector, largely because consumers are not willing to handle the financial risk and informational overload implied by real-time pricing. On the other hand, direct load control is perceived as being too intrusive. Our proposal sets forth an approach based on product differentiation that combines the best of price-based and quantity-based control, inspired by the successful example of deregulation in telecommunications and information technology [PBF13]. Vision. Maintaining the existing level of reliability implies additional operating costs, a significant amount of discarded power, and ultimately a limit on the amount of renewable power that can be integrated within reasonable cost [V05]. This is indicated in the left part of figure 1, which depicts the trade-off between reliability of service and the level of renewable energy integration. The mobilization of distributed flexible resources can mitigate this trade-off, but only to a certain extent, since beyond a certain threshold of renewable energy integration the flexibility of distributed demand is not sufficient to absorb the random fluctuations of renewable power. This is indicated by the decay of the blue curve in the left graph of figure 1. Our proposal builds upon the idea of designing power systems that deliver the highest possible quality of service within a certain reasonable cost, rather than almost full reliability without regards to cost. The flexibility of distributed demand is key in achieving the objective of economical large-scale renewable energy integration, since flexible tasks can absorb stochastic and highly variable renewable supply without experiencing a significant deterioration in quality of service. The vision of our proposal is indicated by the blue curve in the right graph of figure 1, whereby the mobilization of demand-side flexibility results in substantial levels of renewable energy integration by trading off an acceptable deterioration in quality of service with a transition to sustainable long-term energy supply. Figure 1: The vision of our proposal. 2. Proposal Our proposal provides a holistic treatment of electricity market design. We first outline our proposal for real-time market design, which is the cornerstone of a properly functioning market. Once the real-time market has been clearly defined, earlier forward (e.g. intraday and day-ahead) markets follow the same blueprint, whereas longer-term forward markets can follow a looser, more decentralized organization. The introduction of distribution systems and organized distribution markets in this market design is then tackled, followed by the definition of an aggregator business model that respects the desire of consumers for privacy, simplicity and control. Pillar 1: Real-time markets and scarcity pricing. The large-scale integration of renewable resources shifts value away from energy markets and into markets for ancillary services, and especially reserve markets. The central role of reserve markets in highly renewable systems implies that reserves need to be valued accurately by the demand side. Due to the fundamental arbitrage relationship that links energy market opportunity costs to reserve capacity prices, a consistent pricing of reserve capacity will result in an adjustment of energy prices so as to accurately represent real-time scarcity. It is therefore important to value reserve capacity in real-time markets in a way that is consistent with transmission system operations: increments of reserve under tight conditions are more highly valued by system operators than increments under comfortable system conditions, because they have a greater effect in reducing loss of load probability under scarcity. This calls for a co-optimization framework of energy and reserve products in addition to representing any locational differences in valuing reserves. Scarcity pricing already exists in certain European systems, for example in the Belgian market the imbalance price is corrected by a constant offset whenever the system is exceedingly long (above +120 MW) or short (below -120 MW). There is a sound economic theory [H05, H13] that can be developed in order to support this form of scarcity pricing. The fundamental ingredient of such a theory requires introducing a reserve capacity demand function. The introduction of operating reserve demand functions is predicated on the simultaneous clearing of energy and reserves, and the trading of real-time reserve capacity, which is currently absent in European energy markets. The resulting scarcity adder which is the real-time price for reserve capacity also corrects the real-time price for reserve energy, and is a price signal which rewards resources that support the system in real-time balancing while penalizing those resources that cause real-time imbalances. The correction of energy prices under conditions of scarcity can occur even if bids are mitigated due to regulatory concerns over the exercise of market power. The approach respects the fundamental design of an energy-only market, thereby safeguarding the integration of the common European energy-only market. At the same time, the design of such a demand function, coupled with a consistent day-ahead market design (discussed in more detail in the next paragraph), ensures the back-propagation of long-term investment signals that can support the expansion of much-needed flexible capacity. There is nothing to preclude the coexistence of the proposed mechanism with capacity remuneration schemes. However, the successful design and implementation of the proposed mechanism would render any capacity remuneration scheme less critical and, therefore, would mitigate some of its unintended consequences. Ultimately, the proposed design results in price jumps of lower amplitude, and more predictable frequency, which provide a more reliable investment signal for investors and fewer controversies among stakeholders. Pillar 2: Alignment of real-time and day-ahead markets. The design of a harmonized real-time market that simultaneously clears energy, reserve capacity and transmission capacity, needs to be accompanied with a consistent day-ahead market design. Lack of consistency creates gaming opportunities, and introduces operating inefficiencies. Under some conditions, as experience from the USA market indicates, this lack of consistency between the markets can be detrimental to the market and more importantly to the reliability of the system at a huge expense to consumers. Therefore, we propose a transition from the existing day-ahead power exchange towards the simultaneous day-ahead auctioning of energy, reserves and transmission capacity in the day-ahead time frame. The integration of reserves and energy in market clearing allows for a more granular sizing of reserves, a more efficient commitment of thermal generators, and a correct pricing of reserve capacity which becomes the main service offered by thermal generators to the grid. The latter creates the opportunity for the introduction of improved scarcity pricing, as discussed under pillar 1. The clearing of transmission with a proper representation of physical constraints within the auction allows the mitigation of congestion management costs, the coordination of resources from different areas to balance out local renewable supply fluctuations, and the seamless sharing of reserve capacity. Pillar 3: Coordination schemes for TSO-DSO operations. Although pillars 1 and 2 clarify how a wholesale market for energy, reserves and transmission would operate, the corresponding market design still conforms to a passive utilization of distributed resources. Under such a paradigm, distributed consumers absorb power at will, and distributed solar resources inject power to the distribution system whenever it is available. Instead, with the advent of distributed storage, either directly through distributed storage, or indirectly through electric vehicle proliferation, the system can be handled more intelligently, thereby deferring infrastructure upgrades4 and improving operational efficiency dramatically. Whereas the status quo places all the intelligence in, and sources all flexibility from, the high-voltage transmission grid resources, we envision a coordinated, active dispatch of transmission and distribution resources. This vision presents a range of challenges, due to the fact that nonlinear distribution network constraints need to be accounted for, and also due to the vast number of distributed resources. The proper coordination of transmission and distribution resources requires a clear definition of how transmission system operators will coordinate with distribution system operators in a highly renewable energy system. The focus here is on being able to utilize distributed resources as reserve, while respecting the constraints of the distribution network. A range of TSO-DSO coordination schemes can be envisioned, 4 For an overview of the benefits of intelligent distribution system control in terms of deferring investment in distribution system infrastructure, see [PES17] for a range of case studies in California and New York. each of which would need to be explored more carefully for its relative merits and disadvantages. Under a fully coordinated dispatch of transmission and distribution level resources, the power flows on the transmission level are represented through a linear model and the power flows on the distribution level represented through a second order conic relaxation of the branch flow model for optimal power flow [FL13]. This modeling approach properly accounts for the non-linearity of distribution grids, reactive power flows, voltage constraints, and real power losses, features which cannot be ignored at the distribution level, while preserving a computationally tractable model. The idea of the fully coordinated dispatch of distributed resources with transmission resources is to have the transmission system operator operate reserves at both the transmission as well as the distribution level while accounting for distribution level constraints. Although this may appear as a daunting task due to the size of the problem and its nonlinearity, recent evolutions in decomposition algorithms render this vision possibly achievable with highly distributed computing infrastructure [K+13]. From a market design point of view, this effectively corresponds to the simultaneous trading of distribution network capacity, reactive power, and reserve capacity in a simultaneous auction that is cleared by the system operator and which synthesizes one aggregate distribution locational marginal price which accounts for the contribution of all of these scarce resources to the formation of real power prices at individual distribution nodes [P17]. Alternative to the fully coordinated dispatch of distributed resources with transmission resources framework, is the development of local organized DER markets operated by DNOs or third parties which coordinate their operations with wholesale markets. In this latter market architecture, DER assets can participate in multiple markets at the same time with the same action and, given their versatility, they can develop multiple revenue sources in the energy supply chain. Pillar 4: priority service contracts. With a properly functioning short-term market in place, and a clear definition of proactive distribution system operations, it is possible to determine new value streams for demand-side flexibility, provided consumers are confronted with scalable aggregator business models. Our proposed solution for mobilizing consumer flexibility is based on the premise that consumers perceive electricity as a service, instead of a commodity that they are willing to purchase in a real-time market. Inspired by the successful paradigm of other sectors, including telecommunications and information technology, we propose a paradigm which combines the best of both price-based and quantity-based control, while respecting the requirement of consumers for privacy, control, and simplicity. As in the case of successful business models for telecommunications, consumers value simple and understandable offerings. We propose an offering of electricity at various levels of reliability, which we argue consumers can value accurately, as opposed to their valuation for increments of power in real time. In practice, our proposal is implemented as follows [PBF13]: consumers set color tags on each plug in their home, in order to prioritize the consumption of power in different devices. Inspired by traffic lights on congested highways, we propose the following tagging of plugs: red indicates devices that have top priority and cannot be interrupted by aggregators. This indicates to aggregators that they ‘cannot proceed’ with interrupting devices. Orange indicates devices that can be interrupted, but only infrequently, thereby indicating to aggregators that they can ‘proceed with caution’. Green indicates ‘proceed freely’, i.e. devices that can be interrupted if there is a shortage in supply. Slices with lower reliability are priced lower, thereby allowing consumers to pocket the benefits of their flexibility, something which is largely impossible under existing retail tariffs. At the same time, consumers preserve control of their devices, because they can decide how to color-tag devices throughout their home, thereby maintaining control on the assignment of reliability within the household. Aggregators can collect this information over hundreds of thousands of households, and apply stochastic distributed control strategies that allow for a rapid regulation of aggregate residential and commercial consumption, which is suitable for a range of grid services, including intertemporal energy price arbitrage and the provision of the full range of frequency control. The challenge on the end of the aggregator is to design a menu with asymmetric information (i.e. without knowing how individual consumers value power, thereby respecting privacy), while ensuring that the reliability that a highly renewable system can afford is the reliability that the consumers are entitled to through their reliability choices. More tangibly, prices that are too low will result in all consumers selecting very high reliability, and this would be futile since this is the current paradigm from which we need to evolve. On the other extreme, prices that are too high discourage consumers from enrolling to the menu of the aggregator voluntarily, which clearly is also not desirable. There exists solid economic theory to guide the optimal design of such reliability-differentiated menus, either through capacity-based tariffs [CW87], or capacity and energy-based tariffs [C+86], while having the aggregator rely on aggregate statistical information about the valuation of the population for power, a prerequisite which is clearly realistic. 3. Evolution and Implementation The proposed market evolution aims at improving the transition to a decarbonized energy system by (i) improving the long-term security and reliability of flexible generation supply, (ii) improving market price signals to encourage additional generation and/or transmission investment at the proper locations, (iii) pricing all scarce resources such as transmission facilities and increasing transparency, (iv) improving dispatch efficiencies to yield lower overall cost of power supply, and (v) mobilizing DERs at the edge of the grid to provide various services to the grid at the lowest cost. The current market evolution to a flow-based market coupling framework is a step in the right direction. It allows for the relaxation of overly stringent restrictions on cross-border trade, and therefore enables a more efficient use of the existing transmission system. This is especially the case in a meshed transmission system, such as the one in continental Europe, where bilateral ATCs must be determined low enough for the transmission system to withstand a “worst-case” congestion scenario on all trading directions. In addition, with the flow-based approach, the capacity allocation follows the distribution of the power flows and a better alignment of the commercial model with the physical system. However, even that framework falls short of the challenges we face in transitioning to a low-carbon energy system. The massive penetration of renewables has already created and will continue to create generation localisation issues and congestion on transmission and distribution grids, due to a specific geography or other local conditions. As a practical implementation issue, the transition to a much smaller bidding zone configuration is an important step in addressing these issues. Market power or liquidity issues from such a transition do not create additional challenges (as some people content) as the creation of zonal hubs is an integral aspect of such a transition. Eventually we need to include grid modelling in the market architecture clearing and ensure the consistency of the day-ahead and real-time markets while allowing for the simultaneous procurement of energy, reserves and transmission. In this proposal we envision a gradual market evolution and implementation approach. The flow-based market coupling framework could be the starting point. Transition to smaller bidding zones with inclusion of grid modeling in market clearing should be the next task. Based on experience this is the most difficult and time consuming task but given regulatory support it can be achieved within 3 years. This task will form the foundation of reconciling the commercial model with the physical model and ensuring consistency of the day-ahead and real-time markets. The simultaneous procurement of energy, reserves and transmission should be the next task. Given our practical experience we argue that this task can be achieved within a 2-year timeframe. The technical and design problems (such as data quality issues, market processes, algorithmic and performance issues, etc.) are clearly understood and the key deciding factor is again regulatory support and shareholder participation. Finally, the coordination of the transmission and distribution systems, the development of the communication protocols between them, the mobilization of DER assets at the edge of the grid, the development of the appropriate business models for the DER aggregators along with the introduction of the organized local energy market in the distribution level is the last task that can be implemented with a 5-year timeframe assuming active participation of regulators and shareholders. 4. Case Studies The following case studies illustrate the implementation of the four pillars of our proposed design. The case study for scarcity pricing in real-time markets is focused on the Belgian market. The case study for the alignment of real-time markets with day-ahead markets covers the entire CWE region. The case study for TSO-DSO coordination is illustrated on a test system. Priority service pricing is illustrated for the Belgian market. Real-time markets and scarcity pricing: the Belgian case [PS17] Belgian power production capacity connected to the regular grid amounts to 14765 MW. Between September 2014 and mid-October 2014, four nuclear units in the Belgian system were retired from service simultaneously due to technical malfunctions, amounting to a total unplanned outage of approximately 4000 MW. In light of these events and the paradoxical retirement and mothballing of flexible capacity in Belgium, the Belgian Regulatory Commission for Electricity and Gas (CREG) issued an investigation about whether adequate incentives are in place in order to attract investment in flexible power generation in the country. In this case study we analyze how electricity prices in the Belgian market would be impacted if scarcity price adders based on operating reserve demand curves were introduced in the market. We specifically simulate the Belgian market from January 2013 until September 2014, and compute the profits of CCGT units with and without scarcity pricing. The goal of our study is to determine how the introduction of scarcity adders could impact the remuneration of flexible plants in the Belgian electricity market. The computation of real-time scarcity adders requires (i) knowledge of the marginal cost of the marginal unit in the real-time market, (ii) quantifying the net load uncertainty which the system faces within a given time horizon in order to compute the loss of load probability as a function of reserve, and (iii) quantifying the amount of reserve that can be made available within the time horizon of reserve delivery. The data that was provided for the study includes day-ahead and real-time prices of the Belgian market, hourly production by fuel in both the day-ahead and real-time market, demand in the day-ahead and realtime market, the amount of activated reserve energy (instead, the amount of reserve capacity provided by each unit or the amount of activated reserve energy by unit is not available), production capacity available by fuel, and imports/exports in the day ahead and in real time over each interconnection. The marginal cost of the marginal unit is estimated in our analysis by the real-time price. The net load uncertainty within a fifteen-minute horizon is estimated based on the amount of activated reserve energy. A normal distribution is fit to the net load uncertainty in order to obtain the loss of load probability function. The major challenge was to estimate the amount of reserve capacity that is available in real time within a time horizon of reserve delivery (7 or 15 minutes, depending on whether we are remunerating secondary or tertiary reserve). This capacity depends on the ramp rates of the specific units that were actually committed at each given hour of the study. This data was not available to us explicitly. We deduce this information by using the data that was provided to us in order to build a bottom-up model of the Belgian electricity market. The Belgian market model that we develop is validated against the data that was provided to us by comparing its predictions to the actual day-ahead market-clearing price and marketclearing quantity of the Belgian market for the duration of the study. The day-ahead and real-time net demand faced by thermal units over the duration of the study exhibit a mean absolute error of 172 MW, which indicates that the day-ahead unit commitment decisions should be close predictors of the units that actually operate in real time. Therefore, by being able to develop a model that closely emulates the outcomes of the Belgian day-ahead electricity market we are able to deduce the individual units that were actually on-line in real time over the duration of the study. This information is then adequate for inferring the amount of reserve capacity that would be available within a time interval of reserve delivery (7 or 15 minutes), thus enabling us to estimate the scarcity price adder. Previous research on scarcity adders either ignores individual unit ramp constraints [LB15] (which, we argue, may greatly influence the resulting adder), or applies the analysis without previously calibrating the market model to actual market outcomes [ZB13]. The methodology is explained in further detail in figure 2. The validation process of the Belgian market model is indicated in the left part of the figure, while the simulation of the Belgian market in order to determine price adders is indicated in the right part of the figure. Details about each part of the analysis are provided in the appendix of [PS17]. Figure 2: A schematic diagram of the proposed methodology [PS17]. The Belgian market model that we develop is based on a unit commitment and dispatch model. Once our market model is calibrated, we validate it by comparing its ability to explain observed market prices and cleared quantities to competing approaches. A successful validation of our model against Belgian market data would imply that the model could also be used for examining the impact of scarcity rice adders in a prospective study for future conditions of the system. As indicated in figure 2, such an analysis would require, as exogenous input, a forecast of real-time system demand and imports (which could be part of the definition of the scenarios of a prospective study). Note that this is an open-loop analysis, i.e. we do not account for how the expectation of introducing the scarcity price adder feeds back into the capacity that is deployed in the market. A closed-loop analysis will be the subject of future investigation. In order to estimate the profits of individual units, we use the historical energy and reserve prices in order to estimate revenues and operating costs. We focus specifically on combined cycle gas turbine (CCGT) units, whose economic viability is questioned despite the fact that these resources are best suited (in terms of technical capabilities) for providing flexible reserve capacity to the system. The profits of CCGT units are computed for historical prices as they occurred over the duration of the study, as well as for profits that would have occurred if the scarcity price adder were applied to the energy price. We use scarcity adders for the provision of reserves whose respective delivery times amount to 7 and 15 minutes, corresponding to the delivery time of Belgian secondary and tertiary reserves, respectively. Table 1: Profitability of CCGT units (January 2013 - September 2014) before and after adding scarcity price adders, and average adder benefit. Eleven CCGT units operate currently in the Belgian electricity market. The output of the market model that we have developed permits a computation of CCGT profits. Table 1 presents the profitability of each unit before and after the introduction of price adders5. These profits should be compared against the running investment cost of a typical CCGT unit in order to ascertain the economic viability of CCGT resources. The running investment cost of CCGT is estimated6 at 5.6 €/MWh. Profits that do not exceed 5.6 €/MWh in the table are highlighted in bold font in order to indicate that the given unit is not economically viable. The 5 The reported profit accounts for a fixed operating and maintenance cost of 7.04 $/kW-year (EIA 2012 estimate) at the average 2012 exchange rate of 0.778 €/$. 6 The estimate is based on an overnight cost of 676 $/kW (EIA 2012 estimate), the 2012 average exchange rate of 0.778 €/$, continuous discounting at rate of return of 8%, and an investment horizon of 25 years. profit in the first column is computed as the profit over the entire duration of the study given historically realized prices, normalized by the capacity of each unit and the number of hours in the study period. The profit in the second column is computed in the same way, where prices have been adjusted according to the scarcity adder. The final column represents the extra profit earned by each CCGT unit due to the introduction of the adder, normalized by the total output of each unit. Two notable conclusions can be drawn from the first two columns of table 1: (i) CCGT profits, as estimated by the methodology set forth in the present paper, are not sufficient for ensuring the economic viability of any CCGT unit. This observation is aligned with the existing policy debate, which has focused on the fact that the existing market design is not sufficient for ensuring the economic viability of flexible resources, although these resources are necessary for supporting the integration of renewable energy resources. (ii) Adders, as computed in the study, could potentially render the majority (seven out of eleven) of CCGT units economically viable. This confirms the fact that these resources add value to the system, although paradoxically the existing market design is pushing these resources out of the market. In the last column of table 1 we present the average adder benefit accrued by each CCGT unit. This adder benefit is computed as the difference of the revenue earned by each unit before and after the introduction of the adder, divided by the total production of each unit over the entire study period. The average adder for the duration of the study amounts to 5.3 €/MWh. This is the average increase in revenues that can be expected, for example, by base-load units that produce a constant output. By contrast, the adder benefit presented in the last column of the table is effectively higher for all CCGT units, and amounts to up to 14.3 €/MWh for CCGT10. Whereas a capacity market would treat CCGT and base-load units identically, the scarcity pricing mechanism rewards flexible units more handsomely by design. This effect is a result of the positive correlation of the output of CCGT units with scarcity adders. Stated equivalently, flexible units are able to increase their output under conditions of system scarcity, and are rewarded accordingly by the scarcity pricing mechanism. Alignment of real-time and day-ahead markets: the case of the Central Western European market [AP17] For this case study, the network was populated using an industrial database of thermal generators which includes technical and economic characteristics of 656 generating units in the Central Western European (CWE) region. Our CWE model thus includes Austria, Belgium, France, Germany, Luxembourg, the Netherlands, and Switzerland. Thermal generators are classified into five groups: 87 nuclear units (85G W), 144 combined heat and power (CHP) units (40 GW), 272 slow units (conventional thermal units that are neither nuclear nor CHP, and obey a minimum up and down time greater than 3 hours, totaling 99 GW), 126 fast units (conventional thermal units that are neither nuclear nor CHP, and obey a minimum up and down time less than or equal to 3 hours, totaling 14 GW) and 27 aggregated small generators (10 GW). We simulate the CWE region for a typical year in 2014. We used clustering to select 8 representative day types of load for 2014, corresponding to one weekday and one weekend day for each season. We used the forecast errors of 2013-2014 to generate samples of real-time renewable energy production. We simulate system operation of the CWE system under three major policy designs: (i) MC Net Position: zonal design without real-time coordination among zones, (ii) MC Free: zonal design with real-time coordination among zones, and (iii) Deterministic UC: our proposed design of simultaneously clearing energy, reserve capacity and transmission in the day-ahead market. Operations under these three designs are modeled in two stages. The first stage takes place in the day ahead and determines the commitment of the slow thermal generators based on a forecast for renewable energy supply. The second stage takes place in real time and corresponds to the re-dispatch and balancing performed by the system operator given the realization of multi-area renewable supply. The second stage must respect the commitment determined for slow thermal generators in the first stage in all policies. In summary, we report the following results: (i) The benefit of clearing energy, reserves and transmission simultaneously in the day-ahead market (which is quantified by comparing Deterministic UC with MC Free) amounts to 294 million € per year for the CWE region; (ii) The additional benefit of real-time coordination in zonal markets (which is quantified by comparing MC Free with MC Net Position) amounts to 356 million € per year for the CWE region. A centralized market can improve system performance in two ways: (i) by leading to more efficient commitment of slow-moving generators which need to be committed in the day-ahead, thereby preventing unscheduled flows in day-ahead markets, and (ii) by improving balancing strategies due to the full coordination of balancing resources among multiple system operators in real time. The first type of improvement is relevant for the European market. In contrast, the second type of improvement is currently relevant for both the continental European system and the wide interconnections in US systems. Figure 3. Left panel: Adjustment of zonal net position in real time with respect to the day-ahead net position. A positive adjustment corresponds to a real-time net position that is larger than the day-ahead net position, and vice versa. Net position adjustments of DE/AT/LX range between -6 GW and 5 GW. The two effects described in the previous paragraph are illustrated in figures 3 and 4. Figure 3 demonstrates the benefits of sharing real-time balancing among multiple zones. In the case where balancing resources are not shared, (MC Net Pos), each zone is ‘stuck’ with balancing its zonal imbalance with its own resources, whereas a coordinated balancing strategy (MC Free) spreads this cost over the system-wide supply function, which is clearly more efficient. Figure 4 demonstrates the benefits of scheduling unit commitment in the day-ahead market while properly accounting for Kirchhoff’s laws within the market clearing. Failing to account for Kirchhoff’s power flows results in the over-commitment of lowcost coal resources in Germany in the day-ahead time frame. This results in the violation of thermal limits of transmission lines in northern Germany in real time. This congestion is relieved by re-dispatching coal units downwards, while still incurring their minimum load cost, and by starting up fast-moving thermal units, which is also expensive. A proper accounting of power flow constraints in the day-ahead scheduling proposed by our design would preempt such an inefficient commitment in the day-ahead market. Figure 4: Day-ahead schedule determined by MC Free for a spring weekday at the 17:00–18:00 interval. Flows implied by the production schedule are infeasible for the real network since they overload lines in the west of Germany. This infeasible schedule is altered in real time by re-dispatching all generators at D-100 down to their technical minimum and starting up fast units in the surrounding area in order to relieve congestion. Coordination schemes for TSO-DSO operations: A CIGRE test system [P17] Given the vast number of flexible agents that are connected to the low-voltage grid, their scalable mobilization should naturally rely on a distributed computing architecture. Due to the tight physical constraints of power system operations, placing the computational intelligence at the lowest possible level [C+16, K+13] is expected to present implementation challenges, because a minimum amount of centralized control is an inevitable prerequisite of power system operations which, unlike for example telecommunications infrastructure, cannot buffer power. Instead, our proposal explores a cloud-based distributed computing approach whereby the system gathers information on the cloud, computes (in a distributed fashion), and communicates back to individual devices via the cloud. Crucially, the distributed nature our proposed algorithms is naturally poised for exploiting recent progress in multi-core processing, high performance computing and cloud computing [POR15]. The concept is illustrated graphically in figure 5. Figure 5: Our proposal explores a cloud-based distributed computing approach whereby the system gathers information on the cloud, computes (in a distributed fashion), and communicates back to individual devices via the cloud. With such a computational infrastructure in place, we propose the following market clearing procedure: (i) a transmission system market that trades real power and reserves, and (ii) low-voltage markets that clear real power, reactive power and reserves, such that the reserves can be delivered by distributed resources while respecting distribution line limits and voltage limits. We present the results of such a market-clearing procedure on a 15-bus radial distribution network which is based on a CIGRE case study and shown in figure 6. Two flexible resources are located at the root node (node 0) and node 11, with a marginal cost of 50 €/MWh for the resource at the root, and 10 €/MWh for the resource at location 11. The flexible resource at the root has unbounded capacity, the resource at node 11 has a capacity of 0.4 p.u. Voltage limits are set uniformly between 0.9 p.u. and 1.1 p.u. The detailed description of the system is provided in [P17]. Figure 6. Left: The 15-bus CIGRE example. Grey nodes indicate locations of flexible resources. The arrows indicate the direction of flow of real power for the optimal solution for both the case with and without line capacity limits. Right table: The distribution locational marginal price in €/MWh (column 2) at each zone (column 1), and its breakdown in root node marginal cost (column 3), contributions from losses (column 4), contributions from voltage limits (column 5), and contributions from binding transmission limits (column 6). The result of the coordinated dispatch of transmission and distribution resources results in marginal prices that are differentiated by distribution node. We refer to these prices as distribution-LMPs (DLMPs). For the 15-node case study of our example, these prices are shown in column 2 of figure 6. The table of figure 6 shows how these DLMPs are decomposed into contributions from root node marginal cost, real power losses, voltage limits, and transmission limits. The proposed coordinated dispatch of the distribution network results in an active utilization of distributed resources while accounting for reactive power flow, while respecting voltage limits and line flow limits, and by pushing real power losses over distribution lines as low as is economically optimal. Priority service pricing: a case study of Belgium [MPC17], [PBF13] In this case study, we apply priority service theory [CW87] to the Belgian residential electricity market. Firstly, we calibrate aggregate demand functions for residential consumers and then use Monte Carlo simulations of economic dispatch in order to obtain the valuation-reliability curve which describes the optimal reliability that should be assigned to consumers of different valuation levels. Subsequently, we develop price menus with a finite number of priority classes. The resulting menu with three reliability offerings is shown in table 2. The second, third and fourth row correspond to increasing reliability at an increasing price. For example, the second row corresponds to the ‘green’ color, with a reliability of 37% with a monthly subscription fee of 5,4 € per kW, and so on. Color Reliability (%) Green Orange Red 37 97 100 Monthly subscription fee (€/kW) 5,4 48,9 66,4 Table 2: A reliability-based menu for the Belgian market. We have further implemented and tested the proposed demand response approach into the ColorPower software platform [PBF13]. In a system of devices managed using ColorPower, at any given time each device (or device behavior mode) is either enabled, meaning that it can draw power freely, or disabled, meaning that is has been shut off or placed in a lower power mode7. In order to prevent damage to appliances and/or customer annoyance, devices must wait through a refractory period after switching between disabled and enabled before they return to being flexible and can switch again (the length of this period depends on device type). These combinations give four device states (e.g., EF is enabled and flexible), through which each device moves according to a modified Markov model as shown in figure 7. Devices move randomly from EF to DR with a certain probability per round which is determined by the ColorPower architecture, and from DF to ER with a different well-defined probability. Devices move from ER to EF by a randomized timeout, and likewise for the transition from DR to DF. 7 Note that an enabled device may not actually demand any power: for example, a toaster that is not currently in use. Figure 7: Modified Markov model for ColorPower device state switching: states with an “E” are enabled, “D” are disabled, “F” are flexible, and “R” are refractory. The control problem for a ColorPower system is shown by the block diagram in figure 8. The system comprises a set of electrical devices, each of which apportions its demand between priority tiers, where lower numbered tiers are intended to be shut off first (e.g., 1 for “green” pool pumps, 2 for “green” HVAC, 3 for “yellow” pool pumps, etc.), and where each tier has its own time constants (e.g., 𝑇𝐸𝐹,2 is the fixed portion of the refractory timeout for Tier 2). The state 𝑠(𝑡, 𝑎) of each device 𝑎 at time 𝑡 is the magnitude of power demand in each state for each priority tier (e.g., |𝐸𝐹1,𝑎 | is the number of watts of enabled and flexible demand in tier 1 at device 𝑎). These values are summed over all reporting devices (some implementations may use sampling for efficiency reasons) using a distributed algorithm and fed to a state estimator to get an overall estimate 𝑠̂ (𝑡) of the true state 𝑠(𝑡) of total demand in each state for each tier ̂1,𝑎 | is the estimated total enabled and flexible demand in tier 1). This estimate is then broadcast (e.g., |𝐸𝐹 to all devices, along with the demand goal 𝑔(𝑡) for the next total reduction in enabled demand over all tiers. The controller at each device 𝑎 uses local information on state, color, and device type to set its control vector 𝑐(𝑡, 𝑎), defined as the set of transition probabilities 𝑝𝑜𝑛,𝑖,𝑎 and 𝑝𝑜𝑓𝑓,𝑖,𝑎 for each tier 𝑖. Finally, demands move through their states according to these transition probabilities, subject to exogenous disturbances such as changes in demand due to customer override, changing environmental conditions, imprecision in measurement, etc. Figure 8: Block diagram of the ColorPower control architecture: the demand and priority tier states 𝑠(𝑡, 𝑎) of each device 𝑎 at time 𝑡 are aggregated to produce an estimate 𝑠̂ (𝑡) of the total demand and priority tier states over all devices. This is broadcast to each device, along with a demand goal 𝑔(𝑡), and each device uses local information to set its control state 𝑐(𝑡, 𝑎) of transition probabilities. Loads then evolve according to this control state, subject to exogenous disturbances. Note that the aggregation and broadcast algorithms must be chosen carefully to ensure that the communication requirements are lightweight enough to allow control rounds a few seconds long on lowcost hardware. The choice of algorithm depend on the network structure. In general, however, the system must use aggregation and broadcast because it is not currently economically feasible to deploy reliable communications for load control devices with enough bandwidth to poll individual state and deliver individual instructions for millions of devices every few seconds. Aggregation reduces bandwidth requirements by compressing the state of many devices into a single “collective state” message to a central system, and while broadcast reduces bandwidth requirements by sharing a single “collective control” message from the central system with many devices. Simulations are executed on 10,000 controllable devices, each device consumes 1 kW of power (for a total of 10 MW demand), devices are 20% green (low priority), 50% orange (medium priority) and 30% red (high priority). The control signal sent to the demand response population can be updated every 10 seconds. The results of the simulation test are illustrated in figure 9. When peak control is desired, the aggregate demand remains below the quota, while individual loads are subjected stochastically to brief curtailments. Post-event rush-in, a potentially severe problem for both traditional demand response and price signalbased control systems, is also managed gracefully due to the specific design of the modified Markov model used for the control of the device. Figure 9: Simulation results with 10,000 independently fluctuating power loads. Demand is shown as a stacked graph, with Enabled demand on the bottom in saturated colors, Disabled demand at the top in pale colors, and Refractory demand cross-hatched. The goal is the dashed blue line and the current total Enabled demand is the solid magenta line. The plot illustrates a peak shaving case where a power quota, the demand response target that may be provided from an externally-generated demand forecast, is used as a guide for the demand to follow. 5. Conclusions We present a proposal for a de-carbonized European market which is aimed at tackling the following challenges: (i) the shifting of value from energy markets to ancillary services in a near-zero-marginal-cost market; (ii) the lack of harmonization between regional markets and between time frames; (iii) the need to mobilize distributed resources; (iv) the need to engage demand-side resources through scalable aggregator business models. We tackle these challenges through a market design that is based on the following pillars: (i) a well-designed real-time market with scarcity pricing that provides reliable long-run investment signals for flexible resources; (ii) a harmonization of real-time and day-ahead markets that allows sharing of balancing resources, efficient day-ahead scheduling and back-propagation of scarcity signals; (iii) a coordinated operation of transmission and distribution network resources through a cloudbased distributed computing infrastructure; (iv) an aggregator business model based on priority service pricing which respects the desire of consumers for simplicity, privacy, and control. We present a timeline for the transition of the European market towards our proposal, and we illustrate the effectiveness of our proposal through a number of case studies. References [A17] I. Arriaga et al., “Utility of the Future”, technical report, MIT Energy Institute, 2017. [AP17] I. Aravena, A. 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