Introduo aos Mercados de Energia Eltrica

Introduo aos Mercados de Energia Eltrica

Parte II

Assuntos Passados

Overview sobre o assunto.

Conceitos bsicos de mercados;

Principais atores;

Conceitos voltados para mercados eltricos

Particularidades do Mercado de energia eltrica

Objetivos

Participantes no Mercado de Energia

Perspectiva do consumidor

Participantes no Mercado de Energia eltrica

Perspectiva do produtor

Termoeltricas

Viso geral

Teoria dos jogos

Servios Ancilares

Participantes no Mercado de Energia eltrica

Perspectiva doconsumidor

Perspectiva do consumidor

Nvel de demanda (curto prazo)

Nvel do benefcio marginal com energia eltrica.

Nbm

Preo deste benefcio

Pb

Curto prazo

Pb Nbm

Fazer uma contextualizao do comportamento do consumidor, como a demanda varia no curto prazo.

Nvel de Demanda

Exemplo

Boutique

Iluminao

Mais clientes

http://4.bp.blogspot.com/-PpFp46gJsVQ/Tkq6dzvMHgI/AAAAAAAAEqQ/HOa5oDOCuDk/s600/fashion+boutique-1.jpgNvel de Demanda

Consumidores

Residenciais

Comerciais

Industriais

Pagam taxa fixa/kWh

Preo Spot

Aumento ?

Forma da curva da demanda

Curto prazo

O que acontece se o preo aumentar, teoricamente, nada a demanda vai permanecer a mesma no curto prazo.Sua forma quaseimpossivel de ser determinada (pg74)

Nvel de Demanda

Consumidores

Comerciais

Industriais

Geram no horrio de ponta

Residenciais

Nada fazem

Nvel de Demanda

Alguns pases

Valor da carga perdida (VOLL)

Valor que o consumidor pagaria pra no ficar sem energia.

No caso da tabela:

Varejista de energia eltrica

Compram no mercado atacadista e revendem a taxa fixa

Fazem a ponte entre o mercado atacadista(preo varivel) e os pequenos consumidores.

Principal desafio

Comprar barato no atacado

Vender caro no varejo.

Grandes consumidores

Prevem sua demanda

Gente especializada

Compram diretamente do mercado atado

Se o varejista errar na previso ele vai comprar ou vender no mercado spot. Eles tambm so consumidores

Varejista de energia eltrica

Exemplo de um varejista qualquer

Exemplo da operaodiriia de um varejista. Isso resultado devarios tipos de contratosbilateriais, a termo, futuros, etc.

Varejista de energia eltrica

Forma grfica

Exemplo da operaodiriia de um varejista.

Varejista de energia eltrica

Acumulou prejuzos:

Comprar mais barato

Melhorar a previso de carga

Aumentar o preo da energia eltrica

Isso acima o que ele pode fazer, pra se proteger

Participantes no Mercado de Energia eltrica

Perspectiva doprodutor

FAZER DIFERENCIAO ENTRE COMPETIO PERFEITA E IMPERFEITA

Perspectiva do produtor

Geradores de energia eltrica

Produzem energia eltrica

Maximizam seus lucros diminuindo os custos com operao.

Lucro da unidadei

RECEITA

CUSTO

p a potncia produzida durante o intervalo i.pi opreco.

Perspectiva do produtor

Lucro da unidadei

Condies de otimizao

A produo de uma unidadeicom lucro mximo

RECEITA MARGINAL

CUSTO MARGINAL

COMPETIO IMPERFEITA

Receita marginal= o que ela ganha quando gera um MW a mais, o segundo o custo marginal

Perspectiva do produtor

Competio perfeita

O preo no afetado pela potncia

A quantidade produzida alcanar um nvel em que o CM seja igual ao preo.

CM:

Custo com combustvel

manuteno;

Etc que variem de acordo com apot. produzida.

Se tiver algum custo que no faa parte da produo, como o de implantaoetc, no deve entrar no cm. No curto prazo.

Exemplo

Unidade operando com

Nos limites: , seu custo 1.3 $/MJ. Se o preo for 12,00 $/h, a produo ser:

Perspectiva do produtor

Despacho bsicoNo foi totalmente timopq os custos de partida no foram considerados.

Competio perfeita

Nveis de potncia

Quantidade mnima;

Quantidade mxima;

Perspectiva do produtor

FALAR DO Para MIN

Despacho bsico

Na prtica:

Despacho bsico

Igualar o preo de mercado com o CM

No garante lucro;

Custos que independem dePi

Custos fixos:

Pessoal

ligar/desligar

Restries ambientais

Mudar o nvel de potncia.

Perspectiva do produtor

CUSTOS FIXOS

Mudar o nvel de potncia sair de um estado e ir pra outro. FALAR DE CADA CUSTO FIXO.

Despacho bsico

interessante fazer um despacho ao longo de um horizonte;

Isso requer que se faa a previso do preo

Em cada perodo.

complexo

Previso de carga

Perspectiva do produtor

Operao de uma trmica.

Perspectiva do produtor

Tudo em cima horrio:falar que na hora 4 o preo tava baixo mas o melhor no era desligar.

Perspectiva do produtor

Plantas trmicas

Tem custos de partida altos;

Custos para variar sua potncia;

Tempo mnimo para ficar ligar/desligar.

Otimiza a vida til.

Resulta em diminuio das oportunidades de lucros.

Perspectiva do produtor

Plantas trmicas

O calor liberado de combusto

Transformado em eletricidade.

leo pesado

Carvo

Nuclear

Gs natural

Ciclo combinado

http://www.sobiologia.com.br/figuras/Ar/termeletrica.gifNO ESQUECER DA SIMULAO

Perspectiva do produtor

Plantas trmicas

Impactos ambientais

Contribui para aquecimento global;

Chuva cida

Lana carbono na atmosfera.

Ao lado, em Cuiab

Lana 4,5 milhes de toneladas deCaborno/ano

http://www.sobiologia.com.br/figuras/Ar/termeletrica2.jpg

Perspectiva do produtor

Plantas trmicas

Ciclo combinado (Combinedcyclepowerstations -CCPS's)

Funciona combinado o valor oriundo da queima do gs para gerar energia atravs de outra turbina a vapor;

Escolhida para funcionar no Brasil

Sero 35, 12.000MW

Principais equipamentos:

Turbina

Compressor

Sistema de combusto

O compressor serve para captar ar comprimido a 13bar.

Perspectiva do produtor

Plantas trmicas

Ciclo aberto

http://www.gasnet.com.br/gasnet_br/termeletricas/fig001a.gif

Perspectiva do produtor

Plantas trmicas

Ciclo combinado

Mais eficiente

http://www.gasnet.com.br/gasnet_br/termeletricas/fig002a.gif

Perspectiva do produtor

Competio imperfeita

Poucos geradores

Lucro:

Pf a combinao de todas as unidades controlada pela empresa

Cf representa o custo mnimo de produo da empresa.

O Preo no est no controle das empresas, P depende de suas decises.

E das outras empresas tambm.

Perspectiva do produtor

Competio imperfeita

O preo varia tambm com aes dos concorrentes

Assim o lucro fica:

Em que:

Xf so as decises da empresa f.

X-f so as decises dos concorrentes.

O lucro no pode ser maximizado de forma isolada.

Perspectiva do produtor

Competio imperfeita

Maximizar o lucro

Aes timas da empresa f

Aes timas dos concorrentes.

Perspectiva do produtor

Competio imperfeita

Modelos de Bertrand

Concorrem pelo preo

Modelo deCourtnot

Concorrem pela quantidade

Duoplios

Apenas duas empresas concorrem

Teoria dos jogos

Princpios bsicos

Teoria dos jogos

Histrico

Teve incio com a publicao:

The Theory of Games and EconomicBehaviour

1944

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data:image/jpeg;base64,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Neumann

http://www.nndb.com/people/790/000119433/oskar-morgenstern-1.jpgOscarMorgenstern

Teoria dos jogos

Histrico

Esta teoria invadiu o campo da cincia e da matemtica:

Provou a existncia de um equilbrio de estratgias mistas para jogos concorrentes.

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data:image/jpeg;base64,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Nash Junior

http://t3.gstatic.com/images?q=tbn:ANd9GcTicI6X-xBweQDVtjs4r4VCAW1Wo7frL5CE2AnETcJrgbjSSEr8SQ

Teoria dos jogos

Conceito

Estuda decises timas sob condies de conflito atravs de modelos matemticos.

Jogador

Agente de deciso

Conjunto de estratgias

Estratgias eleitas

Situao ou perfil

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