Hello MATPOWER Community,

I am trying to understand how various constraint types can affect OPF
convergence. Are some constraints easy to satisfy than others? Is there a
way to figure out the effect of constraints type (in terms of total number
of loadflow iteration or convergence time)  on OPF convergence?

*For Example:*Let's assume a small power system with four generating
stations. The solution of an unconstrained OPF is shown below:

Gen Active Power:         P1gen_0, P2gen_0, P3gen_0, P4gen_0
Gen Reactive Power:     Q1gen_0, Q2gen_0, Q3gen_0, Q4gen_0
Gen voltage Magnitude:  V1gen_0, V2gen_0, V3gen_0, V4gen_0
Gen Voltage Angle:         TH1gen_0, TH2gen_0, TH3gen_0, TH4gen_0

Next I add a user defined constraints as shown below, one at a time.

Constraint #1: P1gen + P2gen <= P_const             OR
Constraint #2: Q1gen + Q2gen <= Q_const            OR
Constraint #3: V1gen + V2gen <= V_const              OR
Constraint #4: TH1gen + TH2gen <= TH_const
I would like to know which constraint (*out of 4*) will result in the
fastest OPF convergence.

Since runopf function uses Newton Method (by default), I think P and Q
constraints will converge faster than V and TH constraints (based on how
power flow is solved). Is there any mathematical derivation which shows the
effect of the constraints on OPF convergence? Or the OPF convergence solely
depends upon the power system model/cost function used?

Any help on this topic is highly appreciated.

Thank you,
Arun

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