Abstract: Propounding statement of Patel Numerical Method for solution of an algebraic equation and simultaneous algebraic equations, both linear and non-linear, is presented. Also presented is Exactly formulated, and Accurately and Reliably convergent Incremental Gauss-Seidel Loadflow (EAIGSL). A new class of Loadflow Methods are invented. These invented Loadflow Methods are Y-matrix based coefficient matrix Patel Loadflow (CPL), its hybrid version HCPL, Patel Loadflow-1 (PL-1), PL-2, Patel Super Decoupled Loadflow (PSDL-YY), its hybrid version HPSDL-YY, Sparse Z-matrix based Patel Loadflow {SZPL or S[C]?1PL (SCIPL)}, its hybrid version HSZPL or HCIPL, and Sparse Z-matrix could be real or complex and it can be derived from fully inverted coefficient matrix [C] or Jacobian matrix [J] or their different variants. A method of convergence data analytics based determining acceleration factor is also presented.

Abstract: Propounding statement of Patel Numerical Method for solution of an algebraic equation and simultaneous algebraic equations, both linear and non-linear, is presented. Also presented is Exactly formulated, and Accurately and Reliably convergent Incremental Gauss-Seidel Loadflow (EARIGSL). A new class of Loadflow Methods are invented. These invented Loadflow Methods are Y-matrix based coefficient matrix Patel Loadflow (CPL), its hybrid version HCPL, Patel Loadflow-1 (PL-1), PL-2, Patel Super Decoupled Loadflow (PSDL-YY), its hybrid version HPSDL-YY, Sparse Z-matrix based Patel Loadflow {SZPL or S[C]?1 PL (SCIPL)}, its hybrid version HSZPL or HCIPL, and Sparse Z-matrix could be real or complex and it can be derived from fully inverted coefficient matrix [C] or Jacobian matrix [J] or their different variants. A method of convergence data analytics based determining acceleration factor is also presented.

Abstract: Propounding statement of Patel Numerical Method (PNM) for solution of an algebraic equation and simultaneous algebraic equations, both linear and non-linear, is presented. Also presented is Exactly formulated, and Accurately and Reliably convergent Incremental Gauss-Seidel Loadflow (EARIGSL) that can also be developed into Decoupled EARIGSL-method. A new class of Loadflow Methods are invented. These invented Loadflow Methods are Y-matrix based coefficient matrix Patel Loadflow (CPL), its hybrid version HCPL, Patel Loadflow-1 (PL-1), PL-2, Patel Super Decoupled Loadflow (PSDL-YY), its hybrid version HPSDL-YY, Sparse Z-matrix based Patel Loadflow {SZPL or S[C]?1PL (SCIPL)}, its hybrid version HSZPL or HCIPL, and Sparse Z-matrix could be real or complex and it can be derived from fully inverted coefficient matrix [C] or Jacobian matrix [J] or their different variants.

Abstract: Propounding statement of Patel Numerical Method (PNM) for solution of simultaneous algebraic equations, both linear and non-linear, is presented. A new class of Patel Loadflow Methods are invented. These invented Patel Loadflow Methods are Patel Loadflow-1 (PL-1) PL-2, Patel Super Decoupled Loadflow-1 (PSDL-YY1), PSDL-YY2, C-matrix based Patel Loadflow-1 (CPL-1), CPL-2, Sparse Z-matrix based Patel Loadflow {SZPL or S[C]?1PL (SCIPL)}, and Gauss-Seidel-Patel Loadflow (GSPL) that can also be developed into Decoupled GSPL-method.

Abstract: Propounding statement of Patel Numerical Method (PNM) for solution of simultaneous algebraic equations, both linear and non-linear, is presented. A new class of Patel Loadflow Methods are invented. These invented Patel Loadflow Methods are Patel Loadflow-1 (PL-1) PL-2, Patel Super Decoupled Loadflow-1 (PSDL-YY1), PSDL-YY2, Y-matrix based Patel Loadflow-1 (YPL-1), YPL-2, Z-matrix based Patel Loadflow, and Gauss-Seidel-Patel Loadflow (GSPL) that can also be developed into Decoupled GSPL-method.

Abstract: A fan-less Multiprocessor-Computing-Apparatus (MCA) housed in a Metallic-Enclosure (ME) acting as an electromagnetic-Shield for wireless-communications/interconnects (WLI) among components of MCA enabling the whole-range-frequencies from lows of 10-HZs to highs of GHZ and beyond to be able to address almost unlimited Shared-Memory-Units (SMUs) by each processor with each SMU permanently tuned to send/receive data at a particular frequency. The ME is dust-proofed and filled with clean-air/vacuum for efficient-and-reliable WLI. The ME also acts as a heat-sink with the components of MCA placed on Circuit-Boards are mounted on inside in a plane parallel to the respective side of the ME of any required size and shape and heat producing components are firmly attached to the ME, which is waterproofed and placed-under-water for cooling. The SMUs are made up of static non-volatile Random Access Memory that can be read-from and written-to optically.

Abstract: A fan less Multiprocessor Computing Apparatus (MCA) is housed in a metallic Enclosure (ME) that acts as a heat sink and provides extended surface area for heat dissipation. The ME also acts as an electro-magnetic-Shield that provides immunity from Electro-Magnetic-Interference (EMI) from external stray magnetic fields to wireless communications among components of MCA. The Wireless Interconnect (WLI) involving Transceiver Antenna can use whole range of radio, microwave, and optical frequencies involving transceivers and antennas. Printed Circuit Boards of MCA are mounted on inside of metallic surfaces of ME of any required size and shape. MEs are filled with vacuum or clean dust free air without any suspended particles for efficient and reliable communications. Electro-magnetically shielded and sealed MEs housing MCAs are made dust and water proof so that they can be placed under water in a sea or a river, particularly MCAs constituting large data/cloud centres.

Abstract: Highly efficient and reliable methods of Current Injection Patel Super Decoupled Loadflow (CIPSDL), New Gauss-Seidel-Patel Loadflow (NGSPL), Decoupled Gaus-Seidel-Patel Loadflow, and Current Injection Newton-Raphson-Patel Loadflow (CINRPL) are invented. One of the versions CIPSDL method is characterized in 1) the use of the same coefficient matrix [?Y] for both the RI-f and II-e sub-problems, and in all the methods 2) all the nodes being active, no re-factorization of gain matrices [?Y], [Y], [Y*] are required for implementation of Q-limit violations. The invented DGSPL calculation method is characterized in decoupling the calculation of real and imaginary components of complex node voltage leading to increased stability and efficiency of the DGSPL calculation method. Also invented are Constant Matrix Patel Loadflow (CMPL) and Patel Transformation Decoupled Loadflow (PTDL) methods.

Abstract: A fan less Multiprocessor Computing Apparatus (MCA) is housed in a metallic Enclosure (ME) that acts as an heat sink and provides extended surface area for heat dissipation. The ME also acts as an electro-magnetic-Shield that provides immunity from Electro-Magnetic-Interference (EMI) from external stray magnetic fields to wireless communications among components of MCA. The Wireless Interconnect (WLI) can use whole range of radio, microwave, and optical frequencies involving transceivers and antennas. Printed Circuit Boards of MCA are mounted on inside of metallic surfaces of ME of any required size and shape. MEs are filled with vacuum or clean air without any suspended particles for efficient and reliable communications. Electro-magnetically shielded and sealed MEs housing MCAs are made dust and water proof so that they can be placed under water in a sea or a river, particularly MCAs constituting large data/cloud centres.

Abstract: ANN Loadflow Computation Method (LCM) is invented involving input vector composed of net nodal injected real power (P), reactive power (Q), and diagonal elements of conductance and susceptance matrices multiplied by squared initial guess node voltage magnitude (V) or sum of its squared real and imaginary components. Training, and testing and validating input data sets/vectors are generated by applying uniform and non-uniform scaling factors applied to base case loads P and Q at PQ-nodes, and resistance and reactance of network branches. These scale factors are increased until Loadflow Solution by a conventional LCM diverges due to V or angle (?) instability. V and ? values in the solution just before divergence are respective stability limits, and corresponding values in Loadflow Solution provide direct measure of respective stability margins. Suresh's diakoptics based feature selection technique is presented for calculating one node variable with one neuron in each of ANNs output layers.

Abstract: A method of performing loadflow calculations for controlling voltages and power flow in a power network by reading on-line data of given/specified/scheduled/set network variables/parameters and using control means, so that no component of the power network is overloaded as well as there is no over/under voltage at any nodes in the network following a small or large disturbances. A loadflow calculation method could be any method including invented Patel Decoupled Loadflow (PDL) method, and Decoupled Gauss-Seidel-Patel Loadflow (DGSPL) method. The invented Patel Decoupled Loadflow (PDL) calculation method is characterized in 1) the use of the same coefficient matrix [GB] for both the p-f and q-e sub-problems of the loadflow calculation; 2) almost no effort in the modified mismatch calculations in the iteration process; and 3) all the nodes in both the sub-problems being active, no refactorization of [GB] required for implementation of Q-limit violations.

Abstract: Neural Network Loadflow (NNL) computation method is invented involving input vector composed of net nodal injection of real and reactive powers and diagonal elements of conductance and susceptance matrices multiplied by the squared voltage magnitude components of the flat-start normally used as initial solution estimate guess for loadflow solution by conventional NRL or SSDL methods. Training, and testing/validating input-output data sets are generated by applying uniform and non-uniform scaling factors applied to base case loads at PQ-nodes, resistance and reactance of transmission line branches. These scale factors are increased until loadflow solution by conventional methods such as Newton-Raphson Loadflow and Super Super Decoupled Loadflow methods diverge. Divergence of loadflow methods are due to node voltage, node angle, and numerical instabilities.

Abstract: Gauss-Seidel-Patel Loadflow (GSPL) loadflow calculation method is invented involving self-iteration over a node within global iteration over (n?1) nodes in n-node power network. Also invented is a network decomposition technique referred to as Suresh's diakoptics that determines a sub-network for each node involving directly connected nodes referred to as level-1 nodes and their directly connected nodes referred to as level-2 nodes, wherein the level of outward connectivity for local solution of a sub-network around a given node is to be determined experimentally. Sub-networks are solved in parallel, and local solution of sub networks are related into network wide global solution using an invented technique.

Abstract: A method of performing loadflow calculations for controlling voltages and power flow in a power network by reading on-line data of given/specified/scheduled/set network variables/parameters and using control means, so that no component of the power network is overloaded as well as there is no over/under voltage at any nodes in the network following a small or large disturbances.

Abstract: A method of performing loadflow calculations for controlling voltages and power flow in a power network by reading on-line data of given/specified/scheduled/set network variables/parameters and using control means, so that no component of the power network is overloaded as well as there is no over/under voltage at any nodes in the network following a small or large disturbances.