![]() Jostock, Markus ![]() Patent (2014) The invention permits the simplified detection of the grid impedance angle at an inverter's point of connection without additional measurement equipment. Please contact me for technical details. Licensing ... [more ▼] The invention permits the simplified detection of the grid impedance angle at an inverter's point of connection without additional measurement equipment. Please contact me for technical details. Licensing is endorsed by the University of Luxembourg. [less ▲] Detailed reference viewed: 120 (2 UL)![]() Jostock, Markus ![]() ![]() in Automatisierungstechnik (2013), 61(12), 818-830 This paper presents the development of a control model for inverter driven island grids. The herein presented structured approach creates a multi voltage source inverter model from a single inverter state ... [more ▼] This paper presents the development of a control model for inverter driven island grids. The herein presented structured approach creates a multi voltage source inverter model from a single inverter state space model and combines this with the node incidence matrix of a network into a compound model of an island grid. The presented approach allows to analyse arbitrary grid structures and different inverter models and it incorporates a large number of inverters. The model can be particularly used for ohmic-inductive low voltage lines. At the end of the article, a stability analysis of a sample network is presented. [less ▲] Detailed reference viewed: 175 (10 UL)![]() Jostock, Markus ![]() ![]() ![]() Scientific Conference (2013, October 08) This paper recapitulates an analytic control model for arbitrary island grids and presents findings on the dynamic behaviour of purely inverter driven island grids. Pole zero plots of different grid ... [more ▼] This paper recapitulates an analytic control model for arbitrary island grids and presents findings on the dynamic behaviour of purely inverter driven island grids. Pole zero plots of different grid structures are presented and the influence of several inverter parameters on the grid stability is analysed. Findings show that for improved grid stability the inverter’s time constants should also relate to their rated power. Further it is shown how P-Q rotation in the droop control can improve the integration density of renewable power sources in the distribution grid. [less ▲] Detailed reference viewed: 275 (23 UL)![]() Jostock, Markus ![]() Book published by Books on Demand (2013) The book investigates the stability of inverter driven power island grids, thus power grids, in which only renewable energy resourced feed their energy exclusively with voltage source inverters. Research ... [more ▼] The book investigates the stability of inverter driven power island grids, thus power grids, in which only renewable energy resourced feed their energy exclusively with voltage source inverters. Research on stability of power grids has been conducted for decades. Due to the increased feed-in of renewable energy sources, in the future there will be the possibility to run parts of the power grids in island mode, e.g. during large grid blackouts, disconnected from the large interconnected European power grid. This rises some concerns about the stability of such purely inverter driven power grids, as inverter do not have stabilising rotating masses - and thus no inertia. Their controllers and actuators are by orders of magnitude faster than classic synchronous generator governors, which guarantee a degree frequency stability due to their large rotor inertia. If energy is fed in with inverters with much smaller time constants, only small amounts of energy suffice to introduce disturbances in the grid. The analysis presented in the book is not limited to specific grid structures or topologies and can be applied to grids of different voltage levels. The number of inverters in the analysed grid can be very high and arbitrary inverter models can be used for the analysis. Until now no generic, analytic model existed for this type of analysis of widely distributed grids with high numbers of generators. [less ▲] Detailed reference viewed: 493 (13 UL)![]() Jostock, Markus ![]() Doctoral thesis (2013) The PhD thesis develops a control model for island grids, where voltage source inverters with droop control adapt frequency and voltage amplitude and no classic rotating generators are present. The ... [more ▼] The PhD thesis develops a control model for island grids, where voltage source inverters with droop control adapt frequency and voltage amplitude and no classic rotating generators are present. The presented linear, time invariant model is based on a state space control model of inverters and linearised power flow equations for the grid lines, the grid topology is captured in a node incidence matrix. Such a compound model for inverter driven island grids has not yet been developed to the author’s knowledge. Most existing models have been formulated for very small grids or inverter constellations. The presented control model allows to investigate grids with a very high number of inverters and with arbitrary grid structures and facilitates the calculation of the compound state space model and the MIMO transfer function matrix. No explicit re-formulation of the differential equations is necessary for different grid topologies, as this information is captured in the node incidence matrix. The thesis further investigates the stability of inverter driven island grids, i.e. power grids decoupled from the interconnected European power grid and in which most of the primary sources are renewable energy sources, injected via voltage source inverters. As inverters do not have rotating masses and thus no rotational inertia, they can be actuated much faster than classical synchronous generators. The effect of this property on the overall system stability is investigated in this work. The grid frequency is considered as a distributed parameter, where during transient phases, each grid node has its own valid phase angle speed. During transient phases, the inverters adjust injection frequency according to their droop, due to a local active power change. Until all inverters have adapted their injection frequencies, in each grid node a separate phase speed is valid. This behaviour could be verified with laboratory experiments and is integrated into the formal model with a graph theory approach. The power flow through grid lines due to voltage changes is a physical effect and practically immediate, while the adaptation of voltage amplitude and frequency through the inverters is a slower action depending on the inverter control algorithm. The separate modelling of inverters with their droop control on the one hand and the passive grid structure with the load flows on the other hand is justified by singular perturbation. An inverter driven island grid in droop mode can become unstable. Different parameters of the model have an influence on the system stability. A stability analysis is performed on simple grid structures as line, ring and lattice structure based on pole-zero plots. The influence of single parameters on the pole positions is investigated. Three pole regions appear for the compound model, their position and form is depending on the model parameters. For the model of the inverter two time constants are assumed: the smaller time constant Tm models the physically minimal possible delay in a PT1 element, while the larger time constant TWR can be adjusted arbitrarily by programming in an inverter. Both time constants determine more or less the position and form of one pole region each. If both time constants approach each other, conjugate complex poles appear. For large values of TWR the system can become unstable as poles move into the right half pane. This thesis reaches the following conclusions: Small rated power values of the inverters lead to potential instability as small power perturbations may cause large frequency changes. Since this effect is related to the value of the time constants, a stabilising effect can be observed when the time constants of the inverters are minimised, which enables the inverters to react more quickly to the frequency changes. An increasing number of inverters in the grid increases the system order and thus the number of poles. Under unfavourable conditions these poles may be badly damped and may develop into dominant complex conjugate poles. Similar effects can be observed for short grid lines: in systems with short grid connections, the inverters have a stronger electric coupling, bringing forward dominant pole pairs. The control of voltage and frequency by droops has been developed for in- ductive high voltage grids. In low voltage grids with ohmic line characteristics the droops lead to cross coupling between the voltage and frequency controller, causing an additional voltage reaction due to an active power change and an additional frequency reaction due to a reactive power change. This effect can be counteracted by the rotation of the measured P and Q coordinates in the droop control. The rotation angle is strongly related to the impedance angle at the point of connection of the inverter. Using P/Q rotation reduces the number of dominant pole pairs and fosters the integration of higher numbers of inverters without reaching the stability limits of the grid. Based on the laboratory results, a method for detection of the optimal P/Q rotation angle has been filed for patent. [less ▲] Detailed reference viewed: 374 (20 UL)![]() Jostock, Markus ![]() ![]() in Abstract book of 5th International Conference on Integration of Renewable and Distributed Energy Resources (2012) This paper presents a structured development of a compound state space model of an inverter driven power grid. It allows to perform stability investigations on power grids, depending on the inverter ... [more ▼] This paper presents a structured development of a compound state space model of an inverter driven power grid. It allows to perform stability investigations on power grids, depending on the inverter parameters influencing their dynamich behavior and on the grid structure. The general approach is to separate the active components, i.e. the inverters, from the passive components, i.e. the grid, and model them separately. A state space model of a single voltage source inverter is developed and then extended into a multi-inverter model. Based on the linearized power equations of one grid branch, a matrix representation of the grid is developed, based on the sorted node incidence matrix. The grid matrix model and the multi-inverter state space model are joined into one compound control model for inverter driven power grids. [less ▲] Detailed reference viewed: 186 (6 UL)![]() Jostock, Markus ![]() ![]() in Abstract book of 5th International Conference on Integration of Renewable and Distributed Energy Resources (2012) This paper presents a model to describe the mutual frequency disturbance of meshed and interconnected voltage source inverters during transient phases. The model provides a weighted mutual frequency ... [more ▼] This paper presents a model to describe the mutual frequency disturbance of meshed and interconnected voltage source inverters during transient phases. The model provides a weighted mutual frequency coupling matrix taking into account that the mutual frequency measurement disturbance decreases for increasing electric distance between the inverters (i.e. depend on the line admittance) and depends on the respective inverter’s rated power, meaning that stronger inverters have more influence than small ones on the other inverters frequency perception. [less ▲] Detailed reference viewed: 145 (7 UL)![]() Jostock, Markus ![]() ![]() in Abstract paper of 2011 Grande Region Security and Reliability Day (2011) The purpose of this paper is to present the capabilities of the new NetPower DemoLab of the Interdisciplinary Centre for Reliability and Trust at the University of Luxembourg, operated by the Systems and ... [more ▼] The purpose of this paper is to present the capabilities of the new NetPower DemoLab of the Interdisciplinary Centre for Reliability and Trust at the University of Luxembourg, operated by the Systems and Control group, and to stimulate potential public or private collaborations in the area of SCADA security and reliability investigations. [less ▲] Detailed reference viewed: 170 (11 UL)![]() ; Jostock, Markus ![]() in High Performance Electron Devices for Microwave and Optoelectronic Applications (1997, November 24) Comparisons have been made between the channel currents in GaAs hESFETs prepared on GaAs buffer layers prepared at normal and low temperatures. All devices made on LT buffer layers had saturated channel ... [more ▼] Comparisons have been made between the channel currents in GaAs hESFETs prepared on GaAs buffer layers prepared at normal and low temperatures. All devices made on LT buffer layers had saturated channel currents which were about 20% of similar devices on a normal buffer. An attempt was made to remove Ga vacanciies from the LT buffer by a high temperature anneal step before the epitaxial layer was prepared. This had no effect in increasing the channel current. In all cases the pinchoiy voltage was unchanged indicating constancy of the channel thickness and donor concentration. It is concluded that the loss of current is due to a loss of mobile charge through trapping. [less ▲] Detailed reference viewed: 86 (1 UL) |
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