Economy & Energy
Year VIII -No 49:
April-May  2005  
ISSN 1518-2932

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The Future of the Brazilian Electric System

A “Destination Port” for the Brazilian Electric System

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A  “DestinATION PORT” FOR THE
 Brazilian ELECTRIC SYSTEM

Characteristics of the Brazilian Integrated
Electric System and its Projection up to 2035

Carlos Feu Alvim (coordinator)
feu@ecen.com

José Israel Vargas

Othon Luiz Pinheiro da Silva

Omar Campos Ferreira

Frida Eidelman

Introduction

The Brazilian electricity generation system is characterized by its continental dimension and by the strong predominance of hydroelectric generation. This makes it unique in the world.

Practically all electric systems have to satisfy the daily and seasonal demands variation. Furthermore, a predominantly hydroelectric system must adapt itself to the supply oscillations due to the seasonal rainfall regime and the variation of this regime along the years.

For these reasons the Brazilian system in its origin has adopted multi-annual reservoirs that can compensate all predictable variations in supply and demand.

The construction of large reservoirs, with flooding of large areas, was possible only at times when restrictions concerning the environmental and land use were less tight and when social or economic objections were less intense. Undertakings that made Sete Quedas and São Simão Channel disappear would not be acceptable in the present circumstances. Likewise, flooding large areas as carried out in the past cannot be considered anymore and energy planning must adapt itself to this reality.

As a consequence of this fact, the flooded area of the Belo Monte project was reduced by 1/3 (from 1,200 to 400 km2) without reduction of the power to be installed (about 11,000 M).[i]

The main objective of the present study is to sketch a scenario for the Brazilian electric system that is compatible with the use of the different energy sources available in the country. For this purpose priority will be given to renewable sources in order to guarantee the necessary autonomy and sustainability of the system at environmental costs and investment efforts that are acceptable to the Brazilian society. This scenario, that will be denominated “destination port for the Brazilian electric planning”, has as a “starting point” the present system, fundamentally based on hydroelectric generation

The study presents first a brief description of the seasonal character of the hydroelectric generation in Brazil and with the help of a simple computational model (described in Annex 1), describes the effect of introducing additional power with smaller accumulation regarding affluence. In the next step, the foreseen growth concerning electricity demand in Brazil and the transition from the existing generation base to the new configuration are examined.

In the first step are presented:

·          Description of seasonal character of the existing system ;

·          Description of the results obtained through simulation with a model that can describe the generation behavior and that of the  associated storage;

·          Test regarding verification of the model applied to real situations and examination of the model’s variables behavior for the more general case of the four integrated systems (SE, NE, South and North);

·          Description, in Annex 1, of Simple Model that Simulates Hydroelectric Systems and its application to typical cases.

In the second step it is described the transition under way in Brazil, from a system that is almost essentially hydroelectric and of large capacity to a system still predominantly hydroelectric but where the thermal plants will have an important role.

In order to describe this transition it is necessary to:

·          Introduce thermal generation in the simulation model (Annex 2)

·          Evaluate the economic growth in the considered horizon, for a  reference scenario, using the projetar_e program based on a semi-empiric macroeconomic model for Brazil (Annex 3)

·          Evaluate the total energy and electric energy demands corresponding to the considered scenario using the module integrated to the projetar_e model and the concept of equivalent energy (Annex 4)

·          Evaluate the future storage capacity considering the existing hydroelectric potential and the expected trends for storage,

·          Describe the electric energy production in the reference economic scenario, specifying the shares to be supplied by hydraulic, conventional thermal and nuclear energies and the respective installed capacity.

The Seasonal Character of the Brazilian Electric System

In Figure 1 it is shown the annual variation of the Affluent Natural Energy (ANE)[ii]   that represents the energy that can be generated from the water that flows to the dams. The curves for each region were made using data from ONS (National Electric System Operator) and are referred to the month of maximum affluence

It should be noticed that since most part of future generation will come from the North Region (of strong seasonal character) and considering that it does not seem politically possible the construction of large reservoirs in the region, it is expected that the problem concerning the variation of monthly available energy (along the year) will be aggravated if there is no change in the generation park profile.

Figure 1:  Affluent Natural Energy relative to monthly maximum value. It should be noted that the seasonal character of the North Region (in the integrated plants) is rather strong and the affluence from August to November is only 10% of the expected maximum value (month of March).

In Figure 2, the rainfall regime of the Southeast Region is compared with that of the South Region using the curves that represent the projection of the affluent natural energy of ONS (based on the historical behavior[iii]). In the case of the South Region, the historical behavior of the affluent energy does not show the seasonal regularity shown in the other regions. In this region, the “expected” curve (used in ONS’ projections) does not describe well the system since the months of larger rainfall are not repeated. However, the function used by ONS still seems the available option for simulating the behavior of that region. For other regions (see Annex 1) the simulation using a regular function [iv] permits a good description of the affluence.

Figure 2: Comparison between the seasonal character of the South and Southeast Regions. In the Southeast there is a certain regularity; in the  South the affluence, along the year, oscillates around 70% of the average value, presenting rainfall peaks much different from the expected value.

Concerning generation (that in general reflects demand[v]), the seasonal oscillations are less important than that observed in other countries.

Figure 3: Seasonal variation in generation is much larger in the USA (2002/2003) than in Brazil (1996/2000) . For Brazil no data were used after 2001 because of the changes that  the “blackout” has introduced in the last years. Sources: EIA/DOE/USA and ONS (Brazil).

The average annual demand oscillation in Brazil ((Figure 3) is compared with that of the USA[vi]. While the amplitude of the generation seasonal oscillation in Brazil (difference between maximum and  minimum) is about 2,0%[vii], that of the USA is 28%.On the other hand, in what regards offer, the seasonal variation of the affluent energy (hydroelectric energy offer) in the integrated Brazilian system is 120% relative to the average. Since in the USA the hydraulic generation share is only 8,5% (1991 to 2001), this problem is not important in that country and its system can use the available potential, even separated from the demand peak[viii]. Anyway, the existing experience regarding demand regulation in other countries can be useful for creating a new configuration for the Brazilian system.

The daily demand oscillation is important in Brazil, as illustrated by the demand behavior in the state of São Paulo (Figure 4)[ix].  The question is relevant since reducing the daily oscillation could permit a better use of the installed capacity along the year.

However, this daily oscillation problem in the use of electric energy has only an indirect connection with the problem under examination. As a first approximation it could be treated separately, as long as one considers the availability of a generation capacity higher than the average demand value (generally about 20%).

Figure 4: Load variation relative to the daily average value. The amplitude of  variation along the day reaches 40%.

System Simulation

In Annex 1 (Simple Model for Hydroelectric Systems Simulation) it was tried to simulate the operation of the Brazilian interconnected systems with a simple and transparent model that permits to understand the problem.

The option adopted was to represent affluent annual energy by a simple cosine function (representing annual periodic oscillation) to which constant value was added (equal to the average value of the minimum monthly natural affluence). The values used in the simulation of the Southeast Region are compared with the historical monthly average value of the region (Figure 5). For the other systems (see Annex 1), except the South one, the representation of the systems follows rather well the function mentioned above.

Figure 5: Simulation of the affluent natural energy using a cosine-type plus a constant value function . The representation is particularly good for the Southeast Region and it is adequate for the North Region but not for the South one.

Since the objective is to supply a semi-quantitative description of the problem, the results shown in Figure 5 are rather satisfactory.

In the simulation as well as in the representation of the observed data all parameters (stock, production, spilled and affluent energy) are given in GW.month.

In this first approach, it was assumed a static situation (demand, offer and storage capacity are constant) that permits, therefore,  to conceptually separate the energy storage problem from the dynamic growth problem. The same methodology can be applied to a situation where these variables follow a growing demand, since the values used are relative and so it is sufficient to change the reference basic value for each year.

Four types of systems relative to the storage capacity are described in Annex 1:

·          Systems with multi-annual regulation.

·          Systems with regulation for a normal or typical year (monthly affluences that follow the historical  average values)

·          Systems without storage (run-of-river plants)

·          Systems with partial regulation (less than one year).

The situation for 2003 is shown in Table 1 for the four systems existing in Brazil. The systems with multi-annual storage should be able to absorb oscillations of one year or more: it will suffice that the system stores the maximum expected variation for the period in which it is desired to guarantee generation. Therefore, the storage/production ratio can be lower than one year and nevertheless guarantee the probable variations of the affluence regime of several years. Anyway, even with the electric system criterion, the present North and South systems don’t have this regulation capacity and already depend on the exchange between regions and/or thermal generation.

Table 1 Storage Capacity of the Integrated Systems

System

Storage Capacity (GW month)

Monthly Production (GW month) / month

Storage/ production (months)

Storage/ Production (years)

SE

176,6(*)

25,8(*)

6,8

0,57

S

15,3

4,9

3,1

0,26

SE + S

191,9

30,7

6,3

0,52

N

11,8

3,1

3,8

0,31

NE

49,6

4,7

10,6

0,89

N + NE

61,4

7,8

7,9

0,66

Systems

253,3

38,5

6,6

0,55

(*)Includes all Itaipu

It should be noticed the fact that the multi-annual character of the system has been gradually reduced, as shown in Figure 6 for the SE region.

Figure 6: Storage/ (thermal generation load) ratio, expressed in months, along time that shows the multi-annual storage reduction of the Southeast system.

Source: ABRAGET: Lecture of Antônio Gama Rocha of UTE Norte Fluminense at the 1º Continuous Forum on Energy– Brazilian Energy Agenda – Rio de Janeiro 9-10/12/2003 – FGV and COOPEFURNAS

In the description that follows, the systems with “exact regulation for a year with normal affluence” and “run-of-river” were included; even though not corresponding to any region, they are important from the conceptual point of view.

The main results for the types of the studied systems, described in Annex 1, are presented in what follows.

System with Multi-annual Regulation

As an example, it is shown here the Southeast Region representation in year the 2003 as base[x]. The values used in the simulation are expressed relative to the average affluent energy (=100) and are shown in Table 2 that also shows data for the SE region that were used for the example case. The initial value of the stock was taken for simulating the 2001 “blackout”.

Table 2: Characteristics of the SE system and of the Simulation (Case 1)

 

SE Region

Simulation

Average ANE

27,4 GW month

100(*)

Maximum A NE

42,2 GW month

154

Production

25,5 GW month

93

Installed Capacity

45,2 GW month

336

Storage

176,6 GW month

640

Minimum Spilling

 

7

(*)Reference value; the other values are relative to the average Affluent
Natural Energy (ANE) in the Southeast system (27,4 GW)

In Figure 7 are presented, month after month, the affluence (affluent natural energy), the accumulated stock, the spillover volume and the production. There are options in the program for the bi-annual and multi-annual representation shown in the figure. In the multi-annual graphic it is indicated the annual average affluence (=100 in a normal year), pointing out the “dry year”. It is shown the expected evolution for a situation similar to the one that occurred in the Southeast Region where a low stock and a decrease of the annual affluence caused a production deficit in 2001

In the simulation (Figure 7) it was considered the demand to be satisfied plus the minimum flow (94 + 3) lower than the average affluent natural energy. In this case, the stored energy would tend to grow and after a sufficient time, to be spilled. However, with a low (as shown) atmospheric precipitation (20% lower than usually) there would not be sufficient energy stock to maintain the necessary production.

Example Case  based on the Southeast Region

Average Affluence

100

 

 

Minimum Stock

10%

Minimum Monthly Affluence

46

Accumulation Capacity

640

Maximum Stock

100%

Monthly Production

94

Initial Stock

60

 

 

Maximum Monthly Affluence

154

Minimum Flow

3

Loss in dry year

20%

Figure7: Expected evolution for a system with conditions analogous to those of the  Southeast Region in 2003. The presentation of this figure is similar to the screen  of the program, where it is possible to modify (white cells) the input data. Furthermore, it is possible to choose the type of graphic to be presented (bi- or multi-annual). The initial stock and the affluence decrease in the third year were considered so that they could simulate the “blackout” that occurred in 2001. Note: the % stock curves (scale on the right) practically coincide with those of the stock due to the scale adopted.

System with Regulation for a Typical Year

The represented system would be considered for the full use of the affluent energy in a year of normal precipitation (within the average value). It could include a storage considerably smaller than that of a system with multi-annual regulation.

For a system similar to the exemplified case (the same minimum and maximum flows relative to the average value), the stock could be twice the average monthly flow and only 30% higher than the month of largest affluence.

In this system, the stock of stored water would be annually “zeroed”, since the storage would coincide with that necessary to satisfy a normal year. All affluent energy can be used and it would be “the optimum system”, except for the predictable existence of years with precipitations lower than the average value, when supply is severely reduced. For a 20% reduction of affluence during a year, the electricity production would be affected for five months and in the most critical month it would drop to 40% of the demand.

Run-of-river System

It has also been simulated a system with no accumulation in which all generation would be made with the natural affluence. Depending on the expected rainfall regime for the region, an important fraction of the available energy would not be used. This fraction grows when the maximum natural flow / minimum flow ratio grows. As compensation, the intervention in the fluvial system would be minimal. It should be emphasized that the example case does not concern run-of-river plants using regulation with upstream dam but rather a system that was designed to operate entirely  with the minimum annual flow, a run-of-river one. Obviously, the system could have been designed to better use the affluent energy: it would suffice to have the installed capacity higher than the minimum one. In this case, its contribution to the generation would be larger and its contribution to the stability of the system would be smaller or negative.

Since the system is designed to operate at minimum affluence conditions in a normal year, its production is quite stable. In this case, it was designed to operate using the typical minimum monthly affluence, 46% of the annual affluent energy would be used.

The possible use (of the total annual affluent energy) for a plant of this type was evaluated for the different regions using the average curves of ONS. It would be 52% in the Southeast Region, 58% in the South Region, 32% in the Northeast Region and 21% in the North Region. Since it is in the last region that it is expected the largest generation expansion for supplying the integrated systems, the installation of this type of plant could limit the usable potential of the region. However, it should be remembered that in a system like this one the really usable potential should be re-evaluated since the energy use conditions could vary because of minor environmental problems due to the adopted flooding pattern where, for example, could be included uses that would be presently unlikely.

Still concerning the North Region, it should be remembered that the present affluence values along the year are based on the Tocantins River flow. However, for the two largest projects under study (Belo Monte plant and the Mamoré River) the flows present dry months, with low affluence relative to the average value, much similar to that of the present plants of the region, as shown in a note at the end of the present study.[1].

Systems with Partial  Regulation

The System with Partial Regulation is an intermediary type between that of regulation for one year and the run-of-river type. This type of system does not have the capacity of compensating the seasonal variations along the year but does not operate as a run-of-river system either. Water spillover is part of its normal procedure and only a fraction of energy is used. An example of this type of system is that operating in the North Region whose data, including those referring to the dry season, were the base for simulating a case studied in Annex 1.

Besides loosing production due to the uniform drop in the monthly affluence during the year, a new type of instability was detected in this type of system, caused by a variation of the monthly precipitation along the year (without reduction of the annual production), inducing an important production decrease. Therefore, this type of system presents a large instability regarding the rainfall regime, what indicates that the introduction of plants with strong seasonal character and low storage strongly requires complementation of other plants capable of sustaining the stability of the system.

Behavior of the Regional Systems  and Verification Test

As previously pointed out, the representation using the model should be the simplest possible and compatible with the correct description of the system. A good verification test of the equations used is to obtain by difference the value of the spillover volume + the evaporated volume. When coherent results are obtained it means that no important variable has been forgotten. Furthermore, the knowledge of the variables behavior of the model in the real situation is an important step for elaborating the scenario for the future. Comparing the results obtained is also a good intrinsic coherence test for the model. It was verified that in spite of the simplicity of the model, the reproduction of the real system is fairly good.

1. Southeast System

The simulation of the system with multi-regulation already shown (Figure 7) was made with characteristic data from the Southeast System. The situation previously simulated, as indicated in Figure 8, is much similar to the one that resulted in the 2001 “blackout”.

Figure 8: Values for the Southeast of the storage, the affluent natural energy and of energy production that resulted in the 2001 “blackout”. It should be observed that the minimum level of the reservoirs reached 18% in December 1999, but a superior initial stock (22% at the end of 2000) lead to the 2001 “blackout”

The values of the spillover energy are calculated by difference and are rather reliable, showing that the adopted approximation, considering the Southeast systems as a single plant, supplies satisfactory results. The low value of the spillover energy relative to production reveals, on the other hand, that the system is well administered. It should mainly be considered that, taking into account the random characteristic of the rainfall and requirements imposed to the flows, it is not always possible to avoid, as it would be desirable, spilling water, concomitantly wasting generation from other sources (in thermal plants) or whenever its is still possible to accumulate water in other reservoirs of the region. The perfect administration of the system becomes more difficult when, as in 2003, the stocks approached the maximum level. It should be still pointed out the growing institutional complexity of the present system relative to the previous one that was almost exclusively state-owned. Until the system adapts itself to the new circumstances, it can be foreseen that the rigidity of the contracts prevents the optimal use of the available hydroelectric energy.

As in the simulation (Figure 7) previously shown, the year 2001 started with low water stocks in the reservoirs and it was known that an additional decrease in the average annual affluence could cause “blackout”. In fact, in the previous year this possibility already existed.[xi] . Therefore, for 2001 it was chosen the same tactics adopted in the previous year, namely not revealing the risk to the consumers. As the rainfall was below the normal level, the government was forced to adopt “blackout”, which could have been anticipated and perhaps partly attenuated.

It is shown in Annex 1 that should the stocks be in their maximum value it would be possible to face the 20% decrease of the affluent energy without problem and even a 35% decrease. Naturally it is not the aim of the system to reach every year the maximum stock since it would be anti-economic to use the thermal contribution to accumulate a water stock to be later possibly wasted by spilling the stored water. The procedure adopted consists in fixing a “risk aversion” curve and activate the thermal plants whenever the storage moves away from the desired level[xii].

For the approach of the next part of the present study, that will deal with the role of the thermal complementation (present and future), it is interesting to observe how the demand of each system was satisfied, including the inter-regional energy exchange and the thermal generation.

Figure 9: Generation and electric energy exchange in the Southeast System. Exchange has been represented  as a negative value for export and positive for import, which permits obtaining the electric energy offer in the system. The total energy generated by Itaipu is shown.

In Figure 9 it is shown the electric energy offer (generation + exchange) in the Southeast region where it is included (coherently with which it has be done with the stock) all the production of Itaipú.

2. NE System

From the storage point of view, the NE System presents a situation similar to that of the SE System but, due to the fact that its demand is larger than the offer, it operates normally, except for special circumstances, by importing energy from other regions. The behavior of the NE system is shown in Figure 10.

Figure 10: The NE system has storage characteristics similar to those of the SE system. However, its larger dependency on the energy generated in other regions causes a lack of stability. Additionally, it calls attention the large participation of spilled energy, indicating the use of water for other purposes. As can be seen, the spilled energy presents a larger seasonal character in the dry season.

Regarding the transfer of energy and the thermal complementation, the historical values of the last years are presented in Figure 11. It should be noticed the dependency on imports from other regions and the near absence of thermal generation.

Figure 11: The NE System is characterized by the fact that it is an energy importer (from 1999 on), depending on the interconnection of the systems. The thermal generation share is still very small.

3 . North System

As has been pointed out, the North System is characterized by partial regulation. Its characteristics were used for one of the case studies of Annex 1 (Case 4). In the represented period (1996 to 2003) there has been considerable export for satisfying demand in other regions, notably the NE one. The system’s behavior (Figure 12) is quite similar to the simulated one, showing the two types of deficit caused in 2001 by a decrease of affluence along almost the entire year and in 2002 by a shift of affluence from the dry months to those of larger rainfall.

Figure 12: The North System has a small storage capacity and this fact makes it quite unstable. It should be noted that advance of the rainfall season (as it happened in 2002) can cause a collapse in supply which did not occur due to the existing interconnection, since thermal generation (in the interconnected part of the region) does not exist.

In Figure 13 one can note the exporting character of the system, with some importing episodes as it occurred at the end of 2002.

Figure 13: Energy generation in the North Region has been partially used for export. It should be noted the production deficits corresponding to the “blackout ” (2001) and to the rainfall shift (2002). Imports have permitted to face the 2002 deficit; there is no thermal production because all plants that integrate the system are hydroelectric plants.

4 . South System

The South System has also low storage capacity. Its particularity is that it is situated in a region with a rainfall regime different from the other ones. Furthermore, the rainfall cycle is not regular as in the other regions.

The irregularity of the rainfall regime makes it less attractive for applying the type of simulation used in the other regions. It is interesting to point out that the expected occurrence in the peak month (October) is that verified in a dry month in the Southeast region (rainy season only in the beginning) and would favor (whenever it occurred) a certain complementation relative to other regions. It also seems that there is some coincidence of dry years in the NE region and intense rainfall in the South and vice-versa[2]. This complementation enhances the interconnecting roles of the systems.

Examining the historical values of the last years in the South Region (Figure 14), it can be noticed that the adopted policy for the electric energy exploitation has adapted itself to the climatic reality. It should be also pointed out the more significant presence of thermal plants (operating at the base) that helps stabilizing the system (Figure 15). There has also been an intense energy exchange (between South and Southeast) that has permitted taking advantage of the differentiated rainfall.

Figure 14: Electric energy production in the South System has followed the availability of water. The system was able to have during years (including the “blackout” period) storage close to100%. There are transmission limitations that have prevented the use of the pointed out complementation.

Figure 15: Energy offer in the South Region that shows, besides an important variation in the generated hydroelectric energy, a participation of the thermal generation (mainly coal) in the base and a significant exchange with other regions. In this “exchange” is included the energy from Itaipu that, even though it is generated in the South Region , has its production included in the Southeast Region and reaches the South Region to be consumed through the interconnection between the two regions.

5. The Integrated Systems

If the Integrated Systems were perfectly interconnected they could be treated as a single one. When the operating variables of the set of systems are observed (Figure 16) it is verified that they do not follow the logic of only spilling water when the maximum storage is attained. The limitations of a perfect use of the capacity of the set are due, on one hand, to the generation capacity limit which is designed to satisfy an assured average demand and, on the other hand, to transmission limitations.

In 2000 and 2001, for example, even with low stocks, the plants of the North and South Systems spilled a significant quantity of water. Besides those physical limitations, operation errors can occur in the system that can lead to shortage situations.

Figure 16: United operation of the integrated systems showing that when storage reaches the maximum value (or to satisfy other needs), the spillover logic is not followed by the set, as it was observed in each of the previously shown systems. This is fundamentally due to the limited capacity either of generation or of transmission among them.

In Figure 17 it is shown the generation in the integrated systems, including the participation of the nuclear generation and that of conventional plants. It should be observed the high predominance of hydroelectric generation and the low presence of import. Once the crisis is over, thermal generation tends to be reduced as long as hydroelectric energy is available (and the stocks are maintained to minimize the risk).

Figure 17: Service of the integrated system, showing the magnitude of the supply problem in 2001, only partially supplied by thermal generation . It should be noted the important participation of nuclear energy during the crisis, which can also be used to help restore the water stock.

The full integration of the existing systems and the increase of equipment in some plants in operation – within the economic limits of these investments – can favor the best use of the regulation capacity of the systems. However, it should be remembered that if the additional generation capacity becomes simply a part of normal operation, there would be a smaller generated energy/storage capacity ratio and, consequently, a smaller stability in the system.

Inclusion of the Thermal Plants in the Simulation.

In Annex 1 it is presented the computer simulation of a hydroelectric system and its behavior regarding different affluences and storage capacities. The regulation is carried out with the accumulation capacity of the reservoirs, either to face the predicted seasonal oscillations or to absorb annual variations of the rainfall regime.

The inclusion of thermal plants in the simulation of the systems is described in Annex 2 and aims at studying the role of these plants in the system regulation considering the expected reduction of the storage capacity/average affluent energy ratio.

In the simulation it was adopted the premise that the electric systems would be administered so that fuel consumption is minimized. This means that available hydroelectric energy would be used at its  maximum. This also means that the stock of stored energy in the reservoirs would be close to its maximum at the end of the rainy season, defined here as the beginning of the month in which – in a typical year – the affluent natural energy (ANE)[xiii]<