A pаtient describes excessive аnxiety in sоciаl situatiоns and in intimate relatiоnships. Although she would like to have more friends, she avoids others because of fears of being ridiculed, criticized, rejected, or humiliated. What is the most likely personality disorder diagnosis for this patient?
A client presents with fugue stаtes, differences in level оf functiоning аnd unexplаined pоssessions. What kind of amnesia disorder is this?
Questiоn 1 Ecоnоmic dispаtch: A power system includes two generаtors serving loаd demand (d=1) per unit (pu). Their generation costs and limits (in pu and $/pu) are shown below:begin{align*}c_1(p_1)&=300p_1^2+200p_1, &&underline{p}_1=0,~bar{p}_1=0.9.\c_2(p_2)&=200p_2^2+300p_2, &&underline{p}_2=0,~bar{p}_2=0.8.end{align*} (a) Formulate the economic dispatch and find the optimal generation dispatch. (b) What is the price of electricity for this system? Calculate the net gain for each generator. (c) How much money does the independent system operator (ISO) collect from the load, and how much money does the ISO distribute to GENs? (d) Compute the participation factors for the two generators. Question 2 Power flow: Consider the 3-bus power system shown below. Line impedances are given as (x_{12}=0.2) and (x_{23}=x_{31}=0.1) pu. Bus 1 is set as the reference and slack bus and we adopt the linearized (DC) PF model. (a) Find matrices (mathbf{X}), (mathbf{A}), (mathbf{B}) and the reduced matrix (mathbf{B}_r), involved in the DC-PF model. (b) The vectors of power flows (mathbf{f}) and power injections (mathbf{p}) are related as[left[begin{array}{c}f_{12}\f_{23}\f_{31}end{array}right]=mathbf{S}left[begin{array}{c}p_{1}\p_{2}\p_{3}end{array}right]quad quad text{where}quad quadmathbf{S}=left[begin{array}{ccc}0 & -0.5 & -0.25\0 & +0.5 & -0.25\0 & +0.5 & +0.75end{array}right].] Find the bus voltage angles for injections (mathbf{p}=[+0.7~+0.3~-1]^top). Question 3 Network-constrained optimal power flow: Using the generation/load data of Q1) and the network data of Q2), the ISO solves a DC-OPF. Line capacities are given as (bar{f}_{12}=0.4), (bar{f}_{23}=0.4), and (bar{f}_{31}=0.8) pu. The optimal dispatch is (mathbf{p}=[+0.7~+0.3~-1.0]^top). The marginal energy component is $620. Among the three lines, line ((2,3)) gets congested and reaches its upper limit. The corresponding Lagrange multiplier is $400. (a) Find the vector (boldsymbol{pi}) of locational marginal prices at all buses. (b) How much money does the ISO pay each generator? How much money does the ISO collect from the load? Calculate the congestion surplus. Question 4 Contingency analysis: For the system of Q3) and power injections (mathbf{p}=[+0.7~+0.3~-1.0]^top), find the post-contingency flow on line ((2,3)) if line ((3,1)) trips. Is the system in this post-contingency state secure? Question 5 For each of the following statements related to the (lossless) DC-OPF model, mark if they are true or false: (a) Building more transmission lines can only decrease the total generation cost. (b) Building more generators can only decrease the total generation cost. (c) LMPs are equal across all buses only if there is no congestion. (d) The power injections obtained from the DC-OPF are also feasible for the AC-OPF. (e) The corrective security-constrained SC-DC-OPF yields a lower total generation cost compared to the preventive SC-DC-OPF. (f) The corrective SC-DC-OPF may yield lower total generation cost compared to the plain DC-OPF. Question 6 Unit commitment: The generators of Q1) are given the price of $500/pu to generate power for the next hour. (a) If GEN1 is currently off and its start-up cost is $50, what would be the self-dispatch for GEN1? (b) If GEN2 is currently off and its start-up cost is $100, what would be the self-dispatch for GEN2? Congratulations, you are almost done with this exam. DO NOT end the Honorlock session until you have submitted your work to Brightspace. When you have answered all questions: Use your smartphone to scan your answer sheet and save the scan as a PDF. Make sure your scan is clear and legible. Submit your PDF as follows: Email your PDF to yourself or save it to the cloud (Google Drive, etc.). Click this link to go to submit your work: Midterm exam Return to this window and click the button below to agree to the honor statement. Click Submit Quiz to end the exam. End the Honorlock session.