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ECTE920 - Master of Electrical Power of Full Network Engineering
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Assignment Task
Consider this 6-node network with 3 generators and 3 loads.
Network information
| Sending end node | Receiving end node | Reactance (pu) | Capacity (MW) |
| 1 | 2 | 0.2 | 100 |
| 1 | 4 | 0.2 | 100 |
| 1 | 5 | 0.3 | 100 |
| 2 | 3 | 0.25 | 100 |
| 2 | 4 | 0.1 | 100 |
| 2 | 5 | 0.3 | 100 |
| 2 | 6 | 0.2 | 100 |
| 3 | 5 | 0.26 | 100 |
| 3 | 6 | 0.1 | 100 |
| 4 | 5 | 0.4 | 100 |
| 5 | 6 | 0.3 | 100 |
Demand values
| Node | Bid quantity (MW |
| 4 | 70 |
| 5 | 70 |
| 6 | 70 |
Questions
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Formulate the dispatch problem given above to a market model using the full network model. All variables should be defined with a sign convention, objective function, constraints, and variable limits need to be shown. (Hint: Each offer band should have own limits and costs. E.g. 0 <= GenA_Offer1 <= 50)
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Implement the optimization problem defined in Q1 using MS Excel solver or other linear programming function.
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What is the cleared amount of each generator band? And how much power is injected to the transmission network from each node? (Show workings from line flows)
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What are the nodal prices of each node? (Note: The shadow cost or the marginal value of the nodal energy balance equation gives the nodal price at that node. May need to adjust by base MVA to obtain the price in $/MW) (Also attach screenshots of the sensitivity reports)
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Let the capacity of the line 3-6 is changed to 40 MW due to a limit of a terminal equipment (impedance is unchanged). Solve the mathematical optimisation with the new data and answer Q3 and Q4 with the new results.
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Explain the reasons behind the changed results (if any) due to the reduced line flow capacity.
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Verify the price setting of the Node 6.
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