It is expressed as shown above. In the simplest form, the above matrix can be written as shown below. The diagonal elements of the Bus Admittance matrix are known as self-admittances and the off-diagonal elements are known as mutual admittances.
In a DC circuit, impedance is nothing but resistance. But in an AC circuit, along with resistance, inductance and capacitance are also present. Inductance occurs due to change in current which creates a magnetic field around the conductor. Due to this magnetic field, an opposition is offered to the change in current which is termed as inductance.
Written in complex rectangular form , impedance looks like this:. Impedance is the sum of resistance R and reactance X. Impedance is typically represented in a circuit as either a block component:. Like impedance, resistance also opposes the flow of current when voltage is applied. A purely resistive impedance lacks a reactive impedance component, such as a heating element, radiator, or a resistor.
A resistance impedance component is represented in a circuit as a resistor:. There are two types of reactance. Reactance will either oppose the change of current or voltage depending on which of the two types it is.
Inductive reactance will oppose the change of current. Capacitive reactance will oppose the change of voltage.
Inductive reactance is one of two types of reactance, and is an imaginary impedance component that opposes the change of current. Inductive reactance in ohms comes from angular frequency in radians per second, times inductance per unit length, times the total length of the component:. In a circuit diagram, inductive reactance is typically represented by a coil , since inductors are typically made by coiling a conductor into the shape of a solenoid.
An example of an inductive reactance would be a perfect ideal coil, like the windings in a motor or generator stator. Capacitive reactance is one of two types of reactance, and is an imaginary impedance component that opposes the change of voltage. Menu Skip to content About Projects. Answer by Jatin Batra: Using admittance matrix over impedance matrix has many advantages. But if I have to summarize in one phrase it would be " Reduced Memory Requirement " The thing you need to understand is the load flow studies are done for a large and widely interconnected power systems.
Now, How does it saves memory? Consider a 5 bus admittance matrix like this:. Share this: Twitter Facebook. Like this: Like Loading June 29, Uncategorized Previous post Next post. Leave a Reply Cancel reply Enter your comment here Fill in your details below or click an icon to log in:.
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