Problem 1 (Source, Load and Battery). In the figure shown, a DC energy source generates power Pe to a bus with a load and a battery. At any instant in time the battery is represented by a voltage source E, and an internal resistance R, as shown. It is connected to the grid by Bidirectional DC/DC converter which we assume ideal, with no power losses and V, = kV, with k > 0 constant. The voltage E, depends on the state of charge of the battery, but let's assume it constant. Pe P DC/DC Load E DC/DC Bidirectional Vg = kV, Q1: Let the gain of the DC/DC Bidirectional be k =1 (ie assume it is not there). Determine an expression for the voltage V in terms of the powers generated and delivered to the load (Pe,P, ) and the battery voltage and resistance E3,R3. (Hint: simple DC circuit analysis and solve a quadratic equation. All voltages are positive); Q2: using the expression in Q1, let the power generated be Pe = 5.0kW and the battery be such that E, = 40.0V , R2 =0.052. What is the maximum power you can deliver to the load? (Hint: max P, for which the quadratic equation has real solution);

Problem 1 (Source, Load and Battery). In the figure shown, a DC energy source generates power Pe to a bus with a load and a battery. At any instant in time the battery is represented by a voltage source E, and an internal resistance R, as shown. It is connected to the grid by Bidirectional DC/DC converter which we assume ideal, with no power losses and V, = kV, with k > 0 constant. The voltage E, depends on the state of charge of the battery, but let's assume it constant. Pe P DC/DC Load E DC/DC Bidirectional Vg = kV, Q1: Let the gain of the DC/DC Bidirectional be k =1 (ie assume it is not there). Determine an expression for the voltage V in terms of the powers generated and delivered to the load (Pe,P, ) and the battery voltage and resistance E3,R3. (Hint: simple DC circuit analysis and solve a quadratic equation. All voltages are positive); Q2: using the expression in Q1, let the power generated be Pe = 5.0kW and the battery be such that E, = 40.0V , R2 =0.052. What is the maximum power you can deliver to the load? (Hint: max P, for which the quadratic equation has real solution);

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

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.61P

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