An area of an interconnected power system has two fossil-fuel units operating on economic dispatch The variable operating costs of these units are given by: C1 = 10P₁ +8 * 10-³ P² $/hr C2 = 8P₂ +9 * 10-³ P² $/hr The total transmission loss for the power system is given by: PL = 1.5*10-4 P² +2 10-5 P₁ P₂ + 3 * 10-5 P² Where P₁ is the output power of generator 1 and P₂ is the output power of generator 2. P₁ and P₂ a in megawatts. The incremental operating cost: ас1 JP1 ac2 (¹)-(+) = 16. JP2 OP1. JP1 Using the incremental operating costs, we will get the following two equations: 10+ 16*10-³P₁ 1 − (3 * 10−4P₁ + 2 * 10-5P₂) = 16 8+18 10-³P₂ 1 − (3 * 10-4P₂ + 2 * 10-5P₁) ² = 16 1. Rearrange the above two equations. 2. Write the set of equations in matrix form (A.x = b). 3. Find the determinant of the resulted matrix (A).
Short Transmission Line
A short transmission line is a transmission line that has a length less than 80 kilometers, an operating voltage level of less than 20 kV, and zero capacitance effect.
Power Flow Analysis
Power flow analysis is a topic in power engineering. It is the flow of electric power in a system. The power flow analysis is preliminary used for the various components of Alternating Current (AC) power, such as the voltage, current, real power, reactive power, and voltage angles under given load conditions and is often known as a load flow study or load flow analysis.
Complex Form
A power system is defined as the connection or network of the various components that convert the non-electrical energy into the electric form and supply the electric form of energy from the source to the load. The power system is an important parameter in power engineering and the electrical engineering profession. The powers in the power system are primarily categorized into two types- active power and reactive power.
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