How to optimize active power in VSC-HVDC which is parallel with HVAC line. How can I make objective function and what constraints?

I want to optimize the active power in VSC-based HVDC transmission system, which is in parallel to AC line. How can I formulate objective function and constraints?

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The objective function in the system can be losses. For that you need to account for the converter loss into the model. The constraints can be modulation index /DC link voltage in converter side and AC bus voltage and active power flow in different lines on the AC side.

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|I have an objective function for minimizing loss in converter...which is a+b.Ic+c.Ic^2....I have to optimize with linear optimization...Could u help me that what should be constraints for this objective function?

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