ELEN5015A - Transmission Systems Study Notes

UNIVERSITY OF THE WITWATERSRAND SCHOOL OF ELECTRICAL AND INFORMATION ENGINEERING

ELEN5015A - Transmission Systems Notes

CHAPTER 1: CONCEPTS OF POWER SYSTEM ECONOMICS

1.1. Introduction

  • Vertically integrated utilities perform all three functions of generation, transmission, and distribution.

  • Tariffs are highly regulated to minimize the cost of electricity to end-users while allowing utilities to recover costs.

  • Restructuring typically involves separating the functions into three entities (often as independent subsidiaries under a holding company).

  • Generators operate independently of transmission and distribution entities in a competitive market, selling power wholesale at market-determined prices.

  • Independent Power Producers (IPPs) compete with traditional generators.

  • Transmission often remains regulated under a single System Operator (SO), which also manages the electricity market (sometimes called the Independent System and Market Operator (ISMO)).

  • Operating costs of the transmission system are transmitted to both generators and distribution companies, which are then passed on to end-users.

  • Distribution companies are responsible for selling power to end-users, acquiring it wholesale from the market managed by the SO.

1.2. Categories of Electricity Markets

  • The four electricity (physical) auction markets:

    • Day-ahead Market: At noon on the previous day, generation is procured for each hour of the next day (Dispatch Day) based on estimated demand.

    • Short-term Market (optional): Changes are made during Dispatch Day to generation procurement for remaining hours if significant demand changes occur.

    • Hour-ahead Market (real-time): Adjustments for the next hour are made during Dispatch Day for significant demand changes.

    • Ancillary Services Market: Additional generation procurement for each hour of the following day (similar timing as Day-ahead).

  • Generator preferences favor long-term price certainty through financial bilateral contracts (between seller and SO).

1.3. Concept of the Load Duration Curve (LDC)

  • The Load Duration Curve (LDC) is an essential tool for planning generation.

Financial Trading Arrangements
  • Bilateral Contracts (e.g., PPAs): Ongoing energy transactions between each generator and the SO.

  • Futures and Options (derivatives): Used to manage risk associated with energy trading.

Physical Trading Arrangements
  • Bilateral Contracts (PPAs): Used for ongoing energy and ancillary services transactions.

  • Market Structures:

    • DA (Day-Ahead) Market: Energy and ancillary services scheduling.

    • ST (Short-Term) Market: Energy transactions based on changes to DA contracts.

  • Load Forecasting:

    • Requires a day-ahead load forecast.

    • On-the-day constraints and forecasts must also be accounted for.

Capacity Classification
  • Load shedding as a demand-side measure, classified as:

    • Peaking capacity

    • Mid-merit capacity

    • Baseload capacity

  • LDC Graph: Describes the number of hours that various capacities exceed specific load levels.

1.4. Concept of the Marginal Cost of Generation

  • Cost Structure:

    • Fixed Costs: Costs independent of energy produced (e.g., capital costs for constructing power stations).

    • Variable Costs: Costs dependent on energy produced (e.g., fuel costs).

  • Short-run Marginal Cost ($R/MWh$): Calculated as follows:

    • ext{Short-run Marginal Cost} = ext{Marginal Cost of Fuel} + ext{Variable O&M Costs}

  • Fixed costs are substantial for nuclear energy compared to variable costs; for renewable options like solar or wind, fuel costs are zero, leading to operational marginal costs being primarily from O&M.

Capacity Categories
  • Mid-merit Capacity: Medium-level capital and fuel costs.

  • Baseload Capacity: High annualized capital costs but low fuel costs.

  • Peaking Capacity: Low capital costs but high fuel costs.

1.5. Concept of Economic Dispatch - Traditional Approach without Electricity Market

  • Definition: Economic dispatch refers to selecting which generators to utilize to meet electricity demand, contrasting with scheduling.

  • Objective Function: The goal is to minimize costs, expressed mathematically:

    • ext{Minimize } f(P) = ext{Cost}(C)

  • Variables:

    • Where:

    • $ ext{Power produced by unit i during period t}$

    • $ ext{Cost of generation for unit i}$

    • $ ext{Market Clearing Price (MCP)}$ when an electricity market is present.

Constraints for Optimization
  1. Generation-load-balance constraint: Total power produced must equal total load consumption at all periods $t$.

  2. Generator power range constraints: Each generator's operation must remain within its allowable limits across all periods.

  3. Generator ramp rate constraints: Each generator’s output must not exceed its ramping capability.

  4. Minimum uptime constraints: Generators should not be shut down unless their minimum uptime has been satisfied across periods.

  5. Minimum downtime constraints: Each generator can only start after being down for the minimum downtime.

1.6. Economic Dispatch with Electricity Market – No Transmission Congestion

  • Merit Order Supply Stack: Used for dispatching based on cumulative generator capacity and ascending short-run marginal costs.

  • Market Equilibrium Point (MEP): Identified where the Merit Order Supply Stack intersects aggregate demand; the price at this point is the Market Clearing Price (MCP).

  • Uniform Pricing: All generators receive and pay the MCP; inframarginal generators recover capital costs while marginal generators do not.

1.7. Economic Dispatch with Electricity Market – With Transmission Congestion

  • Transmission Congestion: Occurs when transmission lines lack capacity to carry required electricity.

  • Locational Marginal Price (LMP): Each node has its own LMP impacted by supply stack, requiring potential dispatch of more costly generators at nodes due to congestion.

  • Hedging Risks:

    • Temporal Risk: Managed through Contracts for Difference (CfDs) which stabilize generator earnings to the average strike prices.

    • Locational Risk: Managed through Financial Transmission Rights (FTRs); suppliers compensated if energy prices vary significantly across nodes.

  • By using appropriate combinations of CfDs and FTRs, generators can hedge against both temporal and locational risks effectively.

  • Perfect Hedge Scenario: Achieved when quantities of CfD and FTR match energy supplied and consumed at different nodes, stabilizing prices against fluctuations.