Energy Production, Management, and Mechanical Energy Systems

Fundamentals of Energy and Power Facilities

  • Definition of Energy:

    • Energy is defined as the ability to do work.
    • It manifests in multiple forms, fundamentally categorized into kinetic energy and potential energy.

  • Definition of Power Plant:

    • A power plant is an industrial facility designed to generate electricity from primary energy sources.

  • Categorization of Energy Resources:

    • Renewable Energy Resources:
    • Definition: Energy resources that can be replaced naturally within a short period of time.
    • Characteristics:
      • Sustainable and environmentally friendly.
      • Produce little or no pollution during generation.
      • Can be used repeatedly without risk of exhaustion.
    • Non-Renewable Energy Resources:
    • Definition: Energy resources that cannot be replaced quickly and require millions of years to form.
    • Characteristics:
      • Fixed, limited supply that can be depleted.
      • Produce significant pollution and greenhouse gases during consumption.
      • Once consumed, cannot be replenished within a human lifetime.

National Energy Profile: Power Generation in the Philippines

  • Gross Power Generation Breakdown by Fuel (2013 Data):
    • Luzon Grid:
    • Total Energy Generated: 54.8×106 MWh54.8 \times 10^6\,\text{MWh} (54.8 million MWh54.8\,\text{million MWh}).
    • Coal: 47%47\%
    • Natural Gas: 34%34\%
    • Hydroelectric: 10%10\%
    • Oil: 6%6\%
    • Other Sources: 3%3\%
    • Visayas Grid:
    • Total Energy Generated: 11.1×106 MWh11.1 \times 10^6\,\text{MWh} (11.1 million MWh11.1\,\text{million MWh}).
    • Geothermal: 49%49\%
    • Coal: 42%42\%
    • Oil: 7%7\%
    • Other Sources: 2%2\%
    • Mindanao Grid:
    • Total Energy Generated: 9.3×106 MWh9.3 \times 10^6\,\text{MWh} (9.3 million MWh9.3\,\text{million MWh}).
    • Hydroelectric: 52%52\%
    • Oil: 22%22\%
    • Coal: 17%17\%
    • Geothermal: 8%8\%
    • Other Sources: 1%1\%

Gross power generation by fuel in the Philippines (2013)

Renewable Energy Sources and Infrastructure

  • Geothermal Power:

    • Mechanism:
    • Utilizes thermal heat energy stored within the Earth's crust.
    • Cold water is injected deep underground into subterranean geothermal reservoirs.
    • Thermal heat converts water to steam (or high-temperature pressurized water converted to steam above ground).
    • Returning steam turns a turbine coupled to an electric generator to produce electricity.
    • Operational Facilities in the Philippines:
    • Malibarara Geothermal Power Plant in Sto. Tomas, Batangas.
    • Makban Geothermal Power Plant (Makiling-Banahaw).
    • Tiwi Geothermal Power Plant in Tiwi, Albay.
    • Bacon Manito Geothermal Power Plant in Sorsogon.
    • Unified Leyte Geothermal Power Plant / Tongonan Geothermal Power Plant in Leyte.
    • Southern Negros Geothermal Production Field.

  • Hydroelectric Energy:

    • Mechanism:
    • Harnesses the kinetic and potential energy of falling or flowing water to turn hydraulic turbines for power generation.
    • Operational Facilities in the Philippines:
    • Palakpakin Hydroelectric Power Plant in San Pablo, Laguna.
    • Balugbog Hydroelectric Power Plant in Nagcarlan, Laguna.
    • Cantingas Hydroelectric Power Plant in San Fernando, Romblon.

  • Wind Power:

    • Mechanism:
    • Converts atmospheric airflow into electrical energy through wind turbines driven by kinetic force.
    • Operational Facilities in the Philippines:
    • Bangui Wind Farm.
    • Burgos Wind Farm.
    • Caparispisan Wind Farm in Ilocos Norte.
    • Wind Energy Power System in Oriental Mindoro.
    • San Lorenzo Wind Farm in Guimaras.
    • Nabas Wind Farm in Aklan.

  • Solar Energy (Solar Cells):

    • Mechanism:
    • Directly converts solar light energy into electricity through solar photovoltaic cell technology.
    • Functioning varies dynamically with weather conditions and sunlight availability.
    • Operational Facilities in the Philippines:
    • Lian Solar Power Project and Calatagan Solar Power Project in Calatagan, Batangas.
    • Cavite Economic Zone Solar Power Project in Rosario and General Trias, Cavite.
    • CW Home Depot Solar Power Project and Central Mall Binan Solar Power Plant in Biñan City, Laguna.

  • Biomass Energy:

    • Mechanism:
    • Utilizes organic matter derived from plants, animals, and microorganisms.
    • Converts biological waste materials into usable heat or electricity rather than allowing them to decay naturally.
    • Key Biomass Material Sources:
    • Forestry crops and residues.
    • Agricultural crops and agricultural residues.
    • Animal residues and livestock manure.
    • Sewage treatment materials.
    • Municipal solid waste and garbage.
    • Industrial organic refuse.

Biomass energy sources diagram

Non-Renewable Energy Sources

  • Fossil Fuels:
    • Formation and Characteristics:
    • Formed through natural anaerobic decomposition of organic remains buried over 600×106 years600 \times 10^6\,\text{years} (600 million years600\,\text{million years}).
    • Chemical potential energy originates from ancient photosynthetic processes and is liberated during combustion.
    • Primary Fossil Fuel Types:
    • Coal
    • Petroleum Oil
    • Natural Gas

Fossil fuel extraction pumpjack

  • Electrochemical Energy (Batteries):
    • Mechanism:
    • A battery stores energy in chemical form and converts it into electrical energy.
    • Internal chemical oxidation-reduction reactions drive electron flow from one electrode material to another.
    • The resulting electron flow through an external connected circuit creates usable electric current.
    • Structural Components of a Standard Dry Cell Battery:
    • Positive Terminal (++) and Carbon Cathode Rod.
    • Negative Terminal (−-) and Zinc Anode Container.
    • Electrolyte Paste Medium.
    • Separator Membrane.
    • Carbon and Manganese Dioxide Mixture (MnO2\text{MnO}_2).

Dry cell battery internal structure and circuit diagram

Physics of Energy: Kinetic vs. Potential Energy

  • Kinetic Energy (KEKE):

    • Definition: Energy possessed by a body as a consequence of its motion.
    • Motion Condition: Requires the body to be in motion (v>0 m/sv > 0\,\text{m/s}).
    • Dependent Variables: Mass (mm) and velocity (vv).
    • Examples: A moving automobile, a sprinting runner, a rolling sphere.

  • Potential Energy (PEPE):

    • Definition: Stored energy possessed by a body due to its position, height, or spatial configuration.
    • Motion Condition: Present even when the body is entirely at rest (v=0 m/sv = 0\,\text{m/s}).
    • Dependent Variables: Mass (mm), acceleration due to gravity (gg), and elevation height (hh).
    • Examples: A textbook placed on a elevated bookshelf, water impounded behind a reservoir dam, a stretched elastic band.

Mathematical Principles and Formulas

  • Kinetic Energy Equation:

    • Formula:     KE=12mv2KE = \frac{1}{2}mv^2
    • Variable Definitions:
    • KEKE = Kinetic Energy, expressed in Joules (J\text{J})
    • mm = Mass of the object, expressed in kilograms (kg\text{kg})
    • vv = Velocity of the object, expressed in meters per second (m/s\text{m/s})

  • Gravitational Potential Energy Equation:

    • Formula:     PE=mghPE = mgh
    • Variable Definitions:
    • PEPE = Gravitational Potential Energy, expressed in Joules (J\text{J})
    • mm = Mass of the object, expressed in kilograms (kg\text{kg})
    • gg = Standard gravitational acceleration constant = 9.8 m/s29.8\,\text{m/s}^2
    • hh = Height above baseline reference, expressed in meters (m\text{m})

  • Sample Problems and Computational Solutions for Kinetic Energy:

    • Problem 1: A ball has a mass of 4 kg4\,\text{kg} and moves at 5 m/s5\,\text{m/s}.
    • Solution:       KE=12mv2KE = \frac{1}{2}mv^2KE=12×4 kg×(5 m/s)2KE = \frac{1}{2} \times 4\,\text{kg} \times (5\,\text{m/s})^2KE=12×4×25KE = \frac{1}{2} \times 4 \times 25KE=50 JKE = 50\,\text{J}
    • Problem 2: A motorcycle has a mass of 150 kg150\,\text{kg} and travels at 20 m/s20\,\text{m/s}.
    • Solution:       KE=12×150 kg×(20 m/s)2KE = \frac{1}{2} \times 150\,\text{kg} \times (20\,\text{m/s})^2KE=12×150×400KE = \frac{1}{2} \times 150 \times 400KE=30000 JKE = 30000\,\text{J}
    • Problem 3: A bicycle has a mass of 10 kg10\,\text{kg} and moves at 4 m/s4\,\text{m/s}.
    • Solution:       KE=12×10 kg×(4 m/s)2KE = \frac{1}{2} \times 10\,\text{kg} \times (4\,\text{m/s})^2KE=12×10×16KE = \frac{1}{2} \times 10 \times 16KE=80 JKE = 80\,\text{J}

  • Sample Problems and Computational Solutions for Potential Energy:

    • Problem 1: A box has a mass of 3 kg3\,\text{kg} and is placed 6 m6\,\text{m} above the ground (g=9.8 m/s2g = 9.8\,\text{m/s}^2).
    • Solution:       PE=mghPE = mghPE=3 kg×9.8 m/s2×6 mPE = 3\,\text{kg} \times 9.8\,\text{m/s}^2 \times 6\,\text{m}PE=176.4 JPE = 176.4\,\text{J}
    • Problem 2: A 2-kg2\text{-kg} book is placed on a 5-m5\text{-m} shelf.
    • Solution:       PE=2 kg×9.8 m/s2×5 mPE = 2\,\text{kg} \times 9.8\,\text{m/s}^2 \times 5\,\text{m}PE=98 JPE = 98\,\text{J}
    • Problem 3: A 10-kg10\text{-kg} object is lifted 3 m3\,\text{m} high.
    • Solution:       PE=10 kg×9.8 m/s2×3 mPE = 10\,\text{kg} \times 9.8\,\text{m/s}^2 \times 3\,\text{m}PE=294 JPE = 294\,\text{J}

Practice Exercises with Complete Solutions

  • Activity A: Kinetic Energy Exercises

    • Item 1: A bicycle has a mass of 12 kg12\,\text{kg} and moves at 5 m/s5\,\text{m/s}.
    • Solution:       KE=12mv2KE = \frac{1}{2}mv^2KE=12×12 kg×(5 m/s)2KE = \frac{1}{2} \times 12\,\text{kg} \times (5\,\text{m/s})^2KE=6×25KE = 6 \times 25KE=150 JKE = 150\,\text{J}
    • Item 2: A dog with a mass of 20 kg20\,\text{kg} runs at 3 m/s3\,\text{m/s}.
    • Solution:       KE=12×20 kg×(3 m/s)2KE = \frac{1}{2} \times 20\,\text{kg} \times (3\,\text{m/s})^2KE=10×9KE = 10 \times 9KE=90 JKE = 90\,\text{J}
    • Item 3: A car has a mass of 800 kg800\,\text{kg} and travels at 15 m/s15\,\text{m/s}.
    • Solution:       KE=12×800 kg×(15 m/s)2KE = \frac{1}{2} \times 800\,\text{kg} \times (15\,\text{m/s})^2KE=400×225KE = 400 \times 225KE=90000 JKE = 90000\,\text{J}
    • Item 4: A soccer ball has a mass of 0.5 kg0.5\,\text{kg} and moves at 12 m/s12\,\text{m/s}.
    • Solution:       KE=12×0.5 kg×(12 m/s)2KE = \frac{1}{2} \times 0.5\,\text{kg} \times (12\,\text{m/s})^2KE=0.25×144KE = 0.25 \times 144KE=36 JKE = 36\,\text{J}
    • Item 5: A motorcycle has a mass of 160 kg160\,\text{kg} and travels at 20 m/s20\,\text{m/s}.
    • Solution:       KE=12×160 kg×(20 m/s)2KE = \frac{1}{2} \times 160\,\text{kg} \times (20\,\text{m/s})^2KE=80×400KE = 80 \times 400KE=32000 JKE = 32000\,\text{J}

  • Activity B: Potential Energy Exercises (g=9.8 m/s2g = 9.8\,\text{m/s}^2)

    • Item 1: A 3-kg3\text{-kg} book is placed on a 7-m7\text{-m} shelf.
    • Solution:       PE=mghPE = mghPE=3 kg×9.8 m/s2×7 mPE = 3\,\text{kg} \times 9.8\,\text{m/s}^2 \times 7\,\text{m}PE=205.8 JPE = 205.8\,\text{J}
    • Item 2: A 12-kg12\text{-kg} object is lifted 2 m2\,\text{m} high.
    • Solution:       PE=12 kg×9.8 m/s2×2 mPE = 12\,\text{kg} \times 9.8\,\text{m/s}^2 \times 2\,\text{m}PE=235.2 JPE = 235.2\,\text{J}
    • Item 3: A 25-kg25\text{-kg} bag is on a platform 2 m2\,\text{m} above the ground.
    • Solution:       PE=25 kg×9.8 m/s2×2 mPE = 25\,\text{kg} \times 9.8\,\text{m/s}^2 \times 2\,\text{m}PE=490 JPE = 490\,\text{J}
    • Item 4: A 50-kg50\text{-kg} person stands on a stage 1.5 m1.5\,\text{m} high.
    • Solution:       PE=50 kg×9.8 m/s2×1.5 mPE = 50\,\text{kg} \times 9.8\,\text{m/s}^2 \times 1.5\,\text{m}PE=735 JPE = 735\,\text{J}
    • Item 5: A 100-kg100\text{-kg} piano is lifted 4 m4\,\text{m}.
    • Solution:       PE=100 kg×9.8 m/s2×4 mPE = 100\,\text{kg} \times 9.8\,\text{m/s}^2 \times 4\,\text{m}PE=3920 JPE = 3920\,\text{J}