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First Course on Electric Power Systems

First Course on Electric Power Systems

Curriculum

12 Sections
23 Lessons
Lifetime

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Module 1 - Overview and Review
2
- 1.0
  Overview and Review Part 1
- 1.1
  Overview and Review Part 2
Module 2 - Electric Energy and the Environment
2
- 2.1
  Electric Energy and the Environment Part 1
- 2.2
  Electric Energy and the Environment Part 2
Module 3 - Transmission Lines and Cables
2
- 3.0
  Transmission Lines and Cables Part 1
- 3.1
  Transmission Lines and Cables Part 2
Module 4 - Power Flow in Power System Networks
2
- 4.0
  Power Flow in Power System Networks Part 1
- 4.1
  Power Flow in Power System Networks Part 2
Module 5 - Transformers in Power Systems
2
- 5.0
  Transformers in Power Systems Part 1
- 5.0
  Transformers in Power Systems Part 2
Module 6 - HVDC Transmission Systems
2
- 6.0
  HVDC Transmission Systems Part 1
- 6.0
  HVDC Transmission Systems Part 2
Module 7 - Distribution System, Loads and Power Quality
1
- 7.0
  Distribution System, Loads and Power Quality Part 1
Module 8 - Synchronous Generators
2
- 8.0
  Synchronous Generators Part 1
- 8.1
  Synchronous Generators Part 2
Module 9 - Voltage Regulation and Voltage Stability
2
- 9.0
  Voltage Regulation and Voltage Stability Part 1
- 9.1
  Voltage Regulation and Voltage Stability Part 2
Module 11 - Control of Interconnected Power System and Economic Dispatch
2
- 10.0
  Control of Interconnected Power System and Economic Dispatch Part 1
- 10.1
  Control of Interconnected Power System and Economic Dispatch Part 2
Module 12 - Transmission Line Faults
2
- 11.0
  Transmission Line Faults Part 1
- 11.1
  Transmission Line Faults Part 2
Module 13 - Protection of Power Systems
2
- 12.0
  Protection of Power Systems Part 1
- 12.1
  Protection of Power Systems Part 2

Power Flow in Power System Networks Part 1

Welcome to the first course on power systems. In this module, we will delve into the calculation of power flow on power system networks. This module is tightly connected to our reference textbook.

Why Calculate Power Flow?

Calculating power flow is essential for planning and operational purposes in utilities. It allows us to predict power distribution under normal and contingency conditions, aiding in contingency analysis, short-circuit studies, and transient stability studies.

System Representation

We’ll assume a transmission-level power system, with an underlying distribution system. Modeling it as a balanced three-phase system enables per-phase basis analysis. Transmission lines can be represented as medium-length lines with series inductance and resistance. Transformers’ leakage impedances are represented in per unit, while loads can be modeled in various ways: as P and Q power, current sources, or constant impedances. Buses are classified based on load and generator connections, with a slack bus for supplying unspecified power.

Example: Three-Bus System

Consider a three-bus system comprising a slack bus, generator bus, and load bus. Modeling transmission lines involves using data from Table 4-1 in Chapter 4 of our reference book to calculate series reactance, resistance, and shunt capacitance. These values are then represented in per unit.

Building the Admittance Matrix

To build the admittance matrix, we consider the currents flowing into each bus. At bus K, the current is determined by the voltage of bus K multiplied by the sum of admittances connected to ground plus currents flowing out on connected transmission lines. This process enables the construction of the admittance matrix for all buses in the system.

Transmission Lines and Cables Part 2

Power Flow in Power System Networks Part 2