A reliable and efficient holomorphic approach to evaluate dynamic available transfer capability

Abstract

Summary In the present paper, the static approximate Newton‐Raphson‐Sidel (ANRS) and the developed down‐hill (DDH) algorithm methods were used. To take advantage of both methods, ANRS‐DDH and the revised holomorphic embedding load flow (RHELF) were combined. An approximation of the potential energy boundary surface (APEBS) was also employed in combination with determine transient stability and correct the previous methods. A combination of static method and transient stability led to a combined approach for dynamic available transfer capability (C‐DATC) computation. It is shown that a small correction for these four methods makes the proposed method faster or more accurate. The average root mean square error of the proposed method is half the other methods and the average relative speed of calculations in the proposed methods is 10% higher than the other method. These were confirmed in the networks of Iowa State (145 bus), modified IEEE 118‐bus, and the west of Iran (848 bus) with a large number of wind farms. Finally, the present paper demonstrated that the suggested approach is ideal not only for the operation mode but also for the planning mode and the existence of wind farms.

A Fast Holomorphic Embedding Power Flow Approach for Meshed Distribution Networks

“…􏽥 Y − 1 is an N × N matrix implicitly indicating the bus 20) can be solved for 􏽥 V either iteratively or recursively. To solve the equation recursively, equations ( 16) and ( 20) are embedded with parameter, α as shown in (21) and (22). is embedding implies that α is a parameter for constant power injections.…”

“…e authors in [19,20] showed the benefits from utilizing the HELM approach for three-phase unbalanced optimal power flow and for probabilistic power flow for small distribution test networks; however, the long time needed to solve the power flow equations impeded extending the application to larger distribution test networks. In [21,22], the authors notably used static approximate Newton-Raphson-Sidel (ANRS) and the developed down-hill (DDH) algorithm methods to derive a reliable and efficient holomorphic approach to evaluate dynamic available transfer capability and proposed distributed slack bus model formulation for the holomorphic embedding load flow method, respectively; however, Padé Approximation is still used.…”

An efficient differential equation load flow method to assess dynamic available transfer capability with wind farms

“…X(k) (power series coefficient) is viewed as a transformation of x(t) at the k th order in differential transformation [27][28][29], as seen by (A6).…”

“…The Holomorphic embedding load flow method (HELF) [28,29] is not needed to make any simplification assumptions for a non-iterative algorithm. HELF does not require any initial estimation and uses concepts within a complex analysis.…”

“…HELF does not require any initial estimation and uses concepts within a complex analysis. HELF shortcomings are shown particularly in terms of the computation time [28].…”