Title |
Derivation of Loss Sensitivities by Angle Reference Transposition and its Applications to Power System Computation |
Authors |
김주철(Ju-Chul Kim) ; 이상중(SangJoong Lee) |
DOI |
https://doi.org/10.5370/KIEE.2020.69.6.821 |
Keywords |
Power system computation; Angle reference transposition(ART); Loss sensitivities; Penalty factor |
Abstract |
The angle reference, the reference for the angles of all bus voltages in a power system, has been specified conventionally on the slack bus in power flow computation(e.g., q1=0), however, it can be specified on any bus in the system without affecting the power flow solution. In this paper, loss sensitivities, ¶Ploss/¶PG, ¶Ploss/¶QG, ¶Qloss/¶PG and ¶Qloss/¶QG, of all generators including the slack bus are derived by specifying the angle reference on a load bus that has no generation using the nature of the Jacobian matrix which is re-constructed by transposition of the angle reference bus. With these loss sensitivities, this paper shows the following four example applications to power system computation: New calculation of penalty factors for classical ELD computation Optimal P-Q generation for cost minimization Optimal P generation for system loss minimization Optimal P-Q generation for system loss minimization Derived loss sensitivities and application algorithms are tested and verified on a sample system. |