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In this video we discuss methods based on Newton-Raphson which makes the calculation of the Jacobian matrix more efficient - namely, the fast decoupled power flow (FDPF) method and the direct current power flow (DCPF) method. These methods make assumptions on the phase angles and magnitudes of node voltage and admittance and then approximate the Jacobian matrix to a simpler form that allows the division of the original power flow problem into smaller subproblems. Because both FDPF and DCPF are still iterative methods (their solution procedures are still the same as Newton-Raphson, just that they use approximated versions of the Jacobian matrix), they still do not solve the non-univocality issue of Newton-Raphson method - i.e. these solvers may still yield a low voltage solution, or they can still diverge even when a high voltage solution exists. In addition, the assumptions in FDPD and DCPF are only justified when modeling High voltage lines of the transmission network, under normal operation conditions with large safety margins. Parts of the Video: 00:00 0. Main Title 00:31 1. Fast Decoupled Power Flow 01:18 2. How does FDPF improve Newton-Raphson 01:57 3. Direct Current Power Flow 02:44 4. How does DCPF improve Newton-Raphson 02:56 5. When are FDPF and DCPF justified? Information of the series “System Science of Energy Transition”: This video is part of the learning material series “System Science of Energy Transition”. The series will cover every aspect of energy transition. Software used for making this video: Audacity was used for eliminating the white noises of the recordings Blender was used for video editing Microsoft Powerpoint was used for making the slides