A Vector Space Model for Boolean Switching Networks
نویسنده
چکیده
Boolean problems are conventionally formulated and solved using the algebraic framework originally proposed by George Boole for application to mathematical logic problems. Boole’s algebra was used by Claude Shannon for modeling networks of switching relays and later more general manipulation of information in the form of binary digits, or bits. An alternative approach is to model data as an element within a vector space. The vector space model then allows for the rules of linear algebra to be used for solving problems instead of Boolean algebraic axioms and postulates. The formulation of a vector space model for information representation and manipulation is given and accompanying derivations are provided. Problems often solved in the Boolean space such as simulation and justification are then solved within the vector space. The paper concludes with a discussion of more practical aspects of the linear algebraic modeling of information such as efficient data structures for representing elements and operations within the vector space and methods for converting conventional Boolean representations of switching networks into the vector space model.
منابع مشابه
Improved Direct Torque Control for Induction Machine Drives Based on Fuzzy Sector Theory
Here, a new fuzzy direct torque control algorithm for induction motors is proposed. As in the classical direct torque control, the inverter gate control signals directly come from the optimum switching voltage vector look-up table, the best voltage space vector selection is a key factor to obtain minimum torque and flux ripples. In the proposed approach, the best voltage space vector is sel...
متن کاملSensor-less Vector Control of a Novel Axial Field Flux-Switching Permanent-Magnet Motor with High-Performance Current Controller
Axial field flux switching motor with sandwiched permanent magnet (AFFSSPM) is a novel of flux switching motor. Based on the vector control method, the mathematical model of the AFFSSPM is derived and the operating performance of the AFFSSPM in the overall operating region is investigated.A novel control method for the AFFSSPM drive system, including the id =0, maximum torque per ampere, consta...
متن کاملSpace Vector Modulation Based on Classification Method in Three-Phase Multi-Level Voltage Source Inverters
Pulse Width Modulation (PWM) techniques are commonly used to control the output voltage and current of DC to AC converters. Space Vector Modulation (SVM), of all PWM methods, has attracted attention because of its simplicity and desired properties in digital control of Three-Phase inverters. The main drawback of this PWM technique is 
its complex and time-consuming computations in real-time ...
متن کاملSpace Vector Modulation Based on Classification Method in Three-Phase Multi-Level Voltage Source Inverters
Pulse Width Modulation (PWM) techniques are commonly used to control the output voltage and current of DC to AC converters. Space Vector Modulation (SVM), of all PWM methods, has attracted attention because of its simplicity and desired properties in digital control of Three-Phase inverters. The main drawback of this PWM technique is its complex and time-consuming computations in real-time im...
متن کاملSpace Vector Modulation Technique to Reduce Leakage Current of a Transformerless Three-Phase Four-Leg Photovoltaic System
Photovoltaic systems integrated to the grid have received considerable attention around the world. They can be connected to the electrical grid via galvanic isolation (transformer) or without it (transformerless). Despite making galvanic isolation, low frequency transformer increases size, cost and losses. On the other hand, transformerless PV systems increase the leakage current (common-mode c...
متن کامل