New Control Algorithms for the Robust Operation and Stabilization of Active Distribution Networks

The integration of renewable distributed generation units (DGs) alters distribution systems so that rather than having passive structures, with unidirectional power flow, they become active distribution networks (ADNs), with multi-directional power flow. While numerous technical, economic, and environmental benefits are associated with the shift toward ADNs, this transition also represents important control challenges from the perspective of both the supervisory and primary control of DGs. Voltage regulation is considered one of the main operational control challenges that accompany a high penetration of renewable DGs. The intermittent nature of renewable energy sources, such as wind and solar energy, can significantly change the voltage profile of the system and can interact negatively with conventional schemes for controlling on-load tap changers (OLTCs). Another factor is the growing penetration of plug-in electric vehicles (PEVs), which creates additional stress on voltage control devices due to their stochastic and concentrated power profiles. These combined generation and load power profiles can lead to overvoltages, undervoltages, increases in system losses, excessive tap operation, infeasible solutions (hunting) with respect to OLTCs, and/or limits on the penetration of either PEVs or DGs. With regard to the dynamic control level, DG interfaces are typically applied using power electronic converters, which lack physical inertia and are thus sensitive to variations and uncertainties in the system parameters. Grid impedance (or admittance), which has a substantial effect on the performance and stability of primary DG controllers, is nonlinear, time-varying, and not passive in nature. In addition, constant-power loads (CPLs), such as those interfaced through power electronic converters, are also characterized by inherited negative impedance that results in destabilizing effects, creating instability and damping issues. Motivated by these challenges, the research presented in this thesis was conducted with the primary goal of proposing new control algorithms for both the supervisory and primary control of DGs, and ultimately of developing robust and stable ADNs. Achieve this objective entailed the completion of four studies: Study#1: Development of a coordinated fuzzy-based voltage regulation scheme with reduced communication requirements Study#2: Integration of PEVs into the voltage regulation scheme through the implementation of a vehicle-to-grid reactive power (V2GQ) support strategy Study#3: Creation of an estimation tool for multivariable grid admittance that can be used to develop adaptive controllers for DGs Study#4: Development of self-tuning primary DG controllers based on the estimated grid admittance so that stable performance is guaranteed under time-varying DG operating points (dispatched by the schemes developed in Study#1 and Study#2) and under changing grid impedance (created by network reconfiguration and load variations). As the first research component, a coordinated fuzzy-based voltage regulation scheme for OLTCs and DGs has been proposed. The primary reason for applying fuzzy logic is that it provides the ability to address the challenges associated with imperfect information environments, and can thus reduce communication requirements. The proposed regulation scheme consists of three fuzzy-based control algorithms. The first control algorithm was designed to enable the OLTC to mitigate the effects of DGs on the voltage profile. The second algorithm was created to provide reactive power sharing among DGs, which will relax OLTC tap operation. The third algorithm is aimed at partially curtailing active power levels in DGs so as to restore a feasible solution that will satisfy OLTC requirements. The proposed fuzzy algorithms offer the advantage of effective voltage regulation with relaxed tap operation and with utilization of only the estimated minimum and maximum system voltages. Because no optimization algorithm is required, it also avoids the numerical instability and convergence problems associated with centralized approaches. OPAL real-time simulators (RTS) were employed to run test simulations in order to demonstrate the success of the proposed fuzzy algorithms in a typical distribution network. The second element, a V2GQ strategy, has been developed as a means of offering optimal coordinated voltage regulation in distribution networks with high DG and PEV penetration. The proposed algorithm employs PEVs, DGs, and OLTCs in order to satisfy the PEV charging demand and grid voltage requirements while maintaining relaxed tap operation and minimum curtailment of DG active power. The voltage regulation problem is formulated as nonlinear programming and consists of three consecutive stages, with each successive stage applying the output from the preceding stage as constraints. The task of the first stage is to maximize the energy delivered to PEVs in order to ensure PEV owner satisfaction. The second stage maximizes the active power extracted from the DGs, and the third stage minimizes any deviation of the voltage from its nominal value through the use of available PEV and DG reactive power. The primary implicit objective of the third stage problem is the relaxation of OLTC tap operation. This objective is addressed by replacing conventional OLTC control with a proposed centralized controller that utilizes the output of the third stage to set its tap position. The effectiveness of the proposed algorithm in a typical distribution network has been validated in real time using an OPAL RTS in a hardware-in-the loop (HiL) application. The third part of the research has resulted in the proposal of a new multivariable grid admittance identification algorithm with adaptive model order selection as an ancillary function to be applied in inverter-based DG controllers. Cross-coupling between the and grid admittance necessitates multivariable estimation. To ensure persistence of excitation (PE) for the grid admittance, sensitivity analysis is first employed as a means of determining the injection of controlled voltage pulses by the DG. Grid admittance is then estimated based on the processing of the extracted grid dynamics by the refined instrumental variable for continuous-time identification (RIVC) algorithm. Unlike nonparametric identification algorithms, the proposed RIVC algorithm provides a parametric multivariable model of grid admittance, which is essential for designing adaptive controllers for DGs. HiL applications using OPAL RTS have been utilized for validating the proposed algorithm for both grid-connected and isolated ADNs. The final section of the research is a proposed adaptive control algorithm for optimally reshaping DG output impedance so that system damping and bandwidth are maximized. Such adaptation is essential for managing variations in grid impedance and changes in DG operating conditions. The proposed algorithm is generic so that it can be applied for both grid-connected and islanded DGs. It involves three design stages. First, the multivariable DG output impedance is derived mathematically and verified using a frequency sweep identification method. The grid impedance is also estimated so that the impedance stability criteria can be formulated. In the second stage, multi-objective programming is formulated using the -constraint method in order to maximize system damping and bandwidth. As a final stage, the solutions provided by the optimization stage are employed for training an adaptation scheme based on a neural network (NN) that tunes the DG control parameters online. The proposed algorithm has been validated in both grid-connected and isolated distribution networks, with the use of OPAL RTS and HiL applications.1 yea

Optimal model reference control design for grid connected voltage source converters

Texto en inglés y resumen en inglés y españolEsta tesis se centra en el diseño de controladores H∞ basados en modelos de referencia para su aplicación en el control de convertidores electrónicos de potencia en fuente de tensión (VSC). Se persiguen dos objetivos: el conformado de la admitancia de entrada de un VSC controlado en corriente y el óptimo amortiguamiento activo de filtros resonantes.El diseño de controladores óptimos H∞ aporta ciertas ventajas con respecto al diseño clásico. La principal técnica de diseño H∞ utilizada en la literatura se centra en la minimización de la función de sensibilidad. Ésta permite lidiar con diferentes problemas de compromiso en el diseño de controladores de forma sencilla, como el conformado de la función de lazo, el seguimiento de referencias, la estabilidad del sistema o la limitación del ancho de banda de control. Sin embargo, esta técnica carece de la habilidad de conformar la fase de funciones en lazo cerrado. La técnica H∞ basada en modelos de referencia soluciona este problema.La principal contribución de esta tesis es la aplicación de esta técnica para el moldeado de la admitancia en lazo cerrado de VSCs, la cual juega un importante papel tanto en la estabilidad de sistemas complejos como en la mejora de la calidad de energía en la red. Utilizando la técnica propuesta, el diseñador podrá especificar, en un gran ancho de banda y en un solo marco de diseño, tanto la admitancia del convertidor del convertidor (en modulo y en fase), como el comportamiento del seguimiento de referencias. El proceso de diseño finaliza con la síntesis de un controlador discreto ejecutable en una plataforma digital (DSP).Las posibilidades que presenta esta nueva metodología de diseño son amplias. La presente propuesta se ilustra con el control de un rectificador activo conectado a la red, pero es lo suficientemente flexible como para aplicarse en otros esquemas de control y topologías de convertidor. Se considerarán tres aplicaciones del control de admitancia: el diseño de aplicaciones resistivas en un gran ancho de banda, las cuales mejoran la robustez en la conexión estable a red débiles, el diseño de aplicaciones con una admitancia baja, las cuales mejoran el rechazo de (sub/inter)armónicos de la tensión de red en el control de corriente, y el diseño de aplicaciones con una admitancia alta, que al conectarse en paralelo a la red actúan como estabilizadores de ésta. La metodología de diseño de cada controlador, así como sus limitaciones, implementación y los resultados experimentales obtenidos son detallados.De forma complementaria, se explora la técnica de diseño basada en modelos de referencia para el amortiguamiento óptimo de resonancias en filtros LCL. La idea es diseñar un amortiguador activo que, una vez conectado, moldee la dinámica del filtro LCL de tal manera que este se comporte como un filtro L. Esto permitirá el posterior uso de sencillos controladores de corriente diseñados para filtro L, evitando la complejidad del diseño de controladores para filtros LCL, sin renunciar con ello a su gran capacidad de filtrado. La metodología de diseño es lo suficientemente general como para presentar diferentes estructuras de entrada/salida para el amortiguador. Los resultados obtenidos demuestran la mejora en la robustez del sistema

Contributions to impedance shaping control techniques for power electronic converters

El conformado de la impedancia o admitancia mediante control para convertidores electrónicos de potencia permite alcanzar entre otros objetivos: mejora de la robustez de los controles diseñados, amortiguación de la dinámica de la tensión en caso de cambios de carga, y optimización del filtro de red y del controlador en un solo paso (co-diseño). La conformación de la impedancia debe ir siempre acompañada de un buen seguimiento de referencias. Por tanto, la idea principal es diseñar controladores con una estructura sencilla que equilibren la consecución de los objetivos marcados en cada caso. Este diseño se realiza mediante técnicas modernas, cuya resolución (síntesis del controlador) requiere de herramientas de optimización. La principal ventaja de estas técnicas sobre las clásicas, es decir, las basadas en soluciones algebraicas, es su capacidad para tratar problemas de control complejos (plantas de alto orden y/o varios objetivos) de una forma considerablemente sistemática. El primer problema de control por conformación de la impedancia consiste en reducir el sobreimpulso de tensión ante cambios de carga y minimizar el tamaño de los componentes del filtro pasivo en los convertidores DC-DC. Posteriormente, se diseñan controladores de corriente y tensión para un inversor DC-AC trifásico que logren una estabilidad robusta del sistema para una amplia variedad de filtros. La condición de estabilidad robusta menos conservadora, siendo la impedancia de la red la principal fuente de incertidumbre, es el índice de pasividad. En el caso de los controladores de corriente, el impacto de los lazos superiores en la estabilidad basada en la impedancia también se analiza mediante un índice adicional: máximo valor singular. Cada uno de los índices se aplica a un rango de frecuencias determinado. Finalmente, estas condiciones se incluyen en el diseño en un solo paso del controlador de un convertidor back-to-back utilizado para operar generadores de inducción doblemente alimentados (aerogeneradores tipo 3) presentes en algunos parques eólicos. Esta solución evita los problemas de oscilación subsíncrona, derivados de las líneas de transmisión con condensadores de compensación en serie, a los que se enfrentan estos parques eólicos. Los resultados de simulación y experimentales demuestran la eficacia y versatilidad de la propuesta.Impedance or admittance shaping by control for power electronic converters allows to achieve among other objectives: robustness enhancement of the designed controls, damped voltage dynamics in case of load changes, and grid filter and controller optimization in a single step (co-design). Impedance shaping must always be accompanied by a correct reference tracking performance. Therefore, the main idea is to design controllers with a simple structure that balance the achievement of the objectives set in each case. This design is carried out using modern techniques, whose resolution (controller synthesis) requires optimization tools. The main advantage of these techniques over the classical ones, i.e. those based on algebraic solutions, is their ability to deal with complex control problems (high order plants and/or several objectives) in a considerably systematic way. The first impedance shaping control problem is to reduce voltage overshoot under load changes and minimize the size of passive filter components in DC-DC converters. Subsequently, current and voltage controllers for a three-phase DC-AC inverter are designed to achieve robust system stability for a wide variety of filters. The least conservative robust stability condition, with grid impedance being the main source of uncertainty, is the passivity index. In the case of current controllers, the impact of higher loops on impedance-based stability is also analyzed by an additional index: maximum singular value. Each of the indices is applied to a given frequency range. Finally, these conditions are included in the one-step design of the controller of a back-to-back converter used to operate doubly fed induction generators (type-3 wind turbines) present in some wind farms. This solution avoids the sub-synchronous oscillation problems, derived from transmission lines with series compensation capacitors, faced by these wind farms. Simulation and experimental results demonstrate the effectiveness and versatility of the proposa

Broadband Methods in Dynamic Analysis and Control of Battery Energy Storage Systems

Battery energy storage systems have become essential in the operation of many modern power-distribution systems, such as dc microgrids, electric ships, and electric aircraft. Energy storage systems often rely on the operation of bidirectional converters to control the power flow. In modern power systems, these bidirectional converters are typically a part of an extensive converter system, a multi-converter system that consists of several electrical converter-based sources and loads. Even though each converter in a multi-converter system is standalone stable, adverse interactions between the interconnected converters can present issues to the system’s performance and stability. Assessing the stability of multi-converter systems is usually challenging, given that the systems are complex, and the dynamics are affected by various operating modes and points. Recent studies have presented methods for assessing the stability of interconnected converters through impedance-based stability criterion. Impedance-based analysis is particularly advantageous for complex multi-converter systems as this method does not require the knowledge of intricate details of the system’s parameters. The method can also facilitate adaptive stabilizing control schemes using reliable and fast identification implementations. However, impedance identification of multi-converter systems is typically challenging due to the coupled nature of the interconnected converters and potential non-linear behavior. Moreover, the bidirectional power flow of battery energy storage systems further complicates the stability assessment. This thesis presents small-signal modeling methods, online stability assessment methods, and adaptive stabilizing control strategies for multi-converter systems that have bidirectional converters. The accuracy of traditional, small-signal-model-based converter control design is enhanced with a procedure that extends a converter’s small-signal model with given load and source dynamics. In addition, frequency response identification methods are used to assess the system stability under varying operating conditions. The presented identification methods offer reliable and quick impedance measurements and stability assessment among several converters. The design aims to minimize the interference on the system, which allows the identification during the system’s regular operation. The stability assessment provides a platform for adaptive stabilizing control methods, and two such techniques are implemented on a bidirectional converter. Several experimental results confirm the effectiveness of the proposed methods

Grid-Forming Converter Control Method to Improve DC-Link Stability in Inverter-Based AC Grids

As renewable energy sources with power-electronic interfaces become functionally and economically viable alternatives to bulk synchronous generators, it becomes vital to understand the behavior of these inverter-interfaced sources in ac grids devoid of any synchronous generation, i.e. inverter-based grids. In these types of grids, the inverters need to operate in parallel in grid-forming mode to regulate and synchronize their output voltage while also delivering the power required by the loads. It is common practice, therefore, to mimic the parallel operation control of the very synchronous generators that these inverter-based sources are meant to replace. This practice, however, is based on impractical assumptions and completely disregards the key differences between synchronous machines and power electronic inverters, as well as the dynamics of the dc source connected to the inverter. This dissertation aims to highlight the shortcomings of conventional controllers and derive an improved grid-forming inverter controller that is effective in parallel ac operation without sacrificing dc-link stability. This dissertation begins with a basis for understanding the control concepts used by grid-forming inverters in ac grids and exploring where existing ideas and methods are lacking in terms of efficient and stable inverter control. The knowledge gained from the literature survey is used to derive the requirements for a grid-forming control method that is appropriate for inverter-based ac grids. This is followed by a review and comparative analysis of the performance of five commonly used control techniques for grid-forming inverters, which reveal that nested loop controllers can have a destabilizing effect under changing grid conditions. This observation is further explored through an impedance-based stability analysis of single-loop and nested-loop controllers in grid-forming inverters, followed by a review of impedance-based analysis methods that can be used to assess the control design for grid-forming inverters. An improved grid-forming inverter controller is proposed with a demonstrated ability to achieve both dc-link and ac output stability with proportional power-sharing. This dissertation ends with a summary of the efforts and contributions as well as ideas for future applications of the proposed controller

Impedance-Based Stability Analysis and Controller Design of Three-Phase Inverter-Based Ac Systems

Three-phase voltage-source power inverters are widely used for energy conversion in three-phase ac systems, such as renewable energy systems and microgrids. These three-phase inverter-based ac systems may suffer from small-signal instability issues due to the dynamic interactions among inverters and passive components in the systems. It is crucial for system integrators to analyze the system stability and design the inverter controller parameters during system planning and maintenance periods to guarantee stable system operation. The impedance-based approach can analyze the stability of source-load systems, by applying the Nyquist stability criterion or the generalized Nyquist stability criterion (GNC) to the impedance ratio of the source and load impedances. This dissertation investigates the impedance-based methods for stability analysis and inverter controller design of three-phase inverter-based multi-bus ac systems. Improved sequence impedance and d-q impedance models of both three-phase voltage-controlled inverters and current-controlled inverters are developed. A simple method for sequence impedance measurement of three-phase inverters is developed by using another inverter as the measurement unit, connected in a paralleled structure with common-dc and common-ac sides. For three-phase radial-line renewable systems with multiple current-controlled inverters, an impedance-based sufficient stability criterion is proposed in the d-q frame, without the need for pole calculation of the return-ratio matrices. An inverter controller parameter design method is developed based on the phase margin information obtained from the stability analysis. For general three-phase multi-bus ac power systems consisting of both voltage-controlled inverters and current-controlled inverters, several impedance-based stability analysis methods and inverter controller parameter design approaches are further proposed, based on the sequence impedances, the d-q impedances and the measured terminal characteristics, to avoid the unstable harmonic resonance, the low-frequency oscillation and the oscillation of the fundamental frequency, respectively. All these proposed stability analysis methods enable the system stability assessment without the need for the internal control information of inverters. Moreover, an impedance-based adaptive control strategy of inverters with online resonance detection and passivity or phase compensation is proposed for stable integration of both voltage-controlled inverters and current-controlled inverters into unknown grid-connected or islanded systems with other existing inverters in operation