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请高手帮我翻译一段电气相关的英文文章,高价悬赏!很急.谢谢.
Inertial and Slow Coherency Aggregation Algorithms
for Power System Dynamic Model Reduction
Abstract
This paper presents new aggregation algorithms for obtaining reduced order power networks when coherent generators are aggregated. The generation terminal bus aggregation algorithm in the EPRI DYNRED software tends to stiffen the reduced order network during the aggregation process, thus increasing the frequencies of inter-area modes. The inertial and slow coherency aggregations will decrease the stiffening effect and produce, for the same coherent machine groups, aggregate networks with improved inter-area mode approximations. This paper contains new procedures to construct these aggregate networks and demonstrates the benefits of these new aggregate networks on a 48-machine system using eigenvalues and nonlinear simulations.
Keywords
Model reduction, two-time-scale systems, coherency, in-
ertial aggregation, slow coherency aggregation
1. INTRODUCTION
Modern dynamic equivalencingof large power systems is typically done in two stages. In the first stage, coherent machines are identified using algorithms such as linear simulations [1] and slow coherency [2, 3]. In the second stage, an aggregate network is constructed and an equivalent machine is obained for each coherent group of machines. The algorithms proposed in this paper address the second stage of obtaining aggregate networks that retain the low frequency inter-area modes of the original power system.
One approach to obtain an aggregate network for the equivalent generators is the generator terminal bus aggregation algorithm proposed by Podmore [l].This algorithm has been implemented in the EPRI software packages DYNEQ and its practical use has been reported in [4, 5]. This approach is also used in DYNRED [6], an improved version of DYNEQ. However, the generator terminal bus aggregation introduces infinite admittances linking the coherent generator terminal buses, thereby ‘stiffening’ the system. An immediate result is that the swing frequencies, especially the inter-area modes, increase, as observed in [7]. Such a phenomenon occurs in all mass-spring type systems [8] when the spring stiffness is increased. The stiffening effect becomes obvious when the aggregate network is used in time simulations lasting more than 3 or 4 seconds from the onset of disturbances. As many utilities are concerned with inter-area stability, power system simulations tend to last 10 or more seconds. To achieve sufficient accuracy in these cases, a large number of coherent groups, each containing a few very tightly coherent machines, may have to be used.
Inertial and Slow Coherency Aggregation Algorithms
for Power System Dynamic Model Reduction
Abstract
This paper presents new aggregation algorithms for obtaining reduced order power networks when coherent generators are aggregated. The generation terminal bus aggregation algorithm in the EPRI DYNRED software tends to stiffen the reduced order network during the aggregation process, thus increasing the frequencies of inter-area modes. The inertial and slow coherency aggregations will decrease the stiffening effect and produce, for the same coherent machine groups, aggregate networks with improved inter-area mode approximations. This paper contains new procedures to construct these aggregate networks and demonstrates the benefits of these new aggregate networks on a 48-machine system using eigenvalues and nonlinear simulations.
Keywords
Model reduction, two-time-scale systems, coherency, in-
ertial aggregation, slow coherency aggregation
1. INTRODUCTION
Modern dynamic equivalencingof large power systems is typically done in two stages. In the first stage, coherent machines are identified using algorithms such as linear simulations [1] and slow coherency [2, 3]. In the second stage, an aggregate network is constructed and an equivalent machine is obained for each coherent group of machines. The algorithms proposed in this paper address the second stage of obtaining aggregate networks that retain the low frequency inter-area modes of the original power system.
One approach to obtain an aggregate network for the equivalent generators is the generator terminal bus aggregation algorithm proposed by Podmore [l].This algorithm has been implemented in the EPRI software packages DYNEQ and its practical use has been reported in [4, 5]. This approach is also used in DYNRED [6], an improved version of DYNEQ. However, the generator terminal bus aggregation introduces infinite admittances linking the coherent generator terminal buses, thereby ‘stiffening’ the system. An immediate result is that the swing frequencies, especially the inter-area modes, increase, as observed in [7]. Such a phenomenon occurs in all mass-spring type systems [8] when the spring stiffness is increased. The stiffening effect becomes obvious when the aggregate network is used in time simulations lasting more than 3 or 4 seconds from the onset of disturbances. As many utilities are concerned with inter-area stability, power system simulations tend to last 10 or more seconds. To achieve sufficient accuracy in these cases, a large number of coherent groups, each containing a few very tightly coherent machines, may have to be used.
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