Problem 1: Thermal units with Non-Linear Convex fuel cost function (Lagrange Function) Assuming two thermal units where the input-output fuel cost rates of the units are as follow: 60MW < PI< 400 MW 50 MW < P:< 300 MW UI: Fi (S/h)= 50 + 4*(P1) + 0.08*(P1) U2: F:(S/h)= 100 + 3*(P:) + 0.02*(P:)² 1) Assume that these units are all ONLINE and are supplying one load with PLOAD= 300MW. Using the Lagrange function and Lagrange multiplier method, find the optimum operating point (P, P., 2). 2) Suppose now load becomes 350MW instead of 300MW. Based on the method of "base point and participation factors", find the new operating point (PNi, PN2 ). 3) Based on lambda iteration method, draw the flow chart to solve the economic dispatch of the two units UI, U2. Start by lambda =10 $/Mwh, find the solution of the first iteration then state the rule for the second iteration.

Problem 1: Thermal units with Non-Linear Convex fuel cost function (Lagrange Function) Assuming two thermal units where the input-output fuel cost rates of the units are as follow: 60MW < PI< 400 MW 50 MW < P:< 300 MW UI: Fi (S/h)= 50 + 4(P1) + 0.08(P1) U2: F:(S/h)= 100 + 3(P:) + 0.02(P:)² 1) Assume that these units are all ONLINE and are supplying one load with PLOAD= 300MW. Using the Lagrange function and Lagrange multiplier method, find the optimum operating point (P, P., 2). 2) Suppose now load becomes 350MW instead of 300MW. Based on the method of "base point and participation factors", find the new operating point (PNi, PN2 ). 3) Based on lambda iteration method, draw the flow chart to solve the economic dispatch of the two units UI, U2. Start by lambda =10 $/Mwh, find the solution of the first iteration then state the rule for the second iteration.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.31P: Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in...

See similar textbooks

Similar questions

A triac can pass a portion of …………… half-cycle through the load a. neither positive nor negative b. both positive and negative c. only negative d. only positive
Determine the transfer function for a tubular heat exchanger similar to the one shown in Figure 2.3 and described by the following differential equation: ** Please see attachment
You have developed an idea for using a poly Si surface‐ micromachined cantilever. Initially, you designed a process flow for creating this simple structure, and the process flow is detailed in the figure below. ( cross section view and top view)There are several critical errors with this process (things that won’t work or won’t produce the result). Please find the critical errors in this process flow and, where possible, suggest alternate approaches. Do not worry about the accumulation of errors, but rather treat each step assuming that the structure up to that step could be created.This structure is actually quite simple to make. Develop a simpler process flow and associated masks to create the final structure. Be sure to show cross‐sectional and planar views of all key steps in the process.
Match the following Coal Kinetic Energy Wind Choose... Water stored in dam Choose... Uranium Choose...
Please explain and show work for all parts, thank you :)
Q5) prove that for any adiabatic process (pv' = c) the work done is: W= (P1v1 - P2V2)/(1-)
Complete solution and add phase angles. Please put clear derivation of formulas. Thank you.
Subject: Circuitskirchhoff method
A thermal unit having a heat input function H(P) = 120+6.6*P+0.0017 P2 (MBtu/h), with Pmin = 350 MW and Pmax= 780 MW. Fuel cost is 1.65 $/MBtu. What is the full-load average production cost of this unit? Select one: O a. None of these O b. 13.33 S/MWh O c. 8.07 $/MWh O d. 11.15 S/MWh
List 3 different concepts of Electricity(gravity) not hydro generation using weights design. Each concept must have an introduction and design description. Include a photo of each trenching machine design and modeling concept. For Example : Mass electricity generation
Refer here for the specifications of the D400. a) What power output should you be able to supply from the 24V D400 at 15.4 m/s? b) If the wind drops to 2 m/s, what will the output power be? c) According to the performance graph what is the maximum power you can obtain from the 24V D400? There is a possibility of installing the turbine on top of a 20m high mast instead. Assuming that Zo=0.012, what would you expect the wind speed to be at that height? Use wind shear formula and assume Vref = 7.5 m/s at a height of Zref =10 m.
Q1)Fill in the following blanks : 1.lonization coefficients a .y are functions of ....... 2.Time lag for breakdown is ...... 3.Streamer mechanism of breakdown explains the phenomena of electrical breakdown of ....... 4.Paschen's law states that ....... 5. Minimum sparking potential of air is about ....... 6.At standard temperature and pressure the electric field at which breakdown occur in air with a small gap d (cm) is given by .....