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For the circuit shown, ZL = 50 – j30 N. What component is needed to form impedance ZPFC in parallel with ZL such that %3D - the load achieves unity power factor? 5520° V ZL ZPFC f = 110 Hz

For the circuit shown, ZL = 50 – j30 N. What component is needed to form impedance ZPFC in parallel with ZL such that %3D - the load achieves unity power factor? 5520° V ZL ZPFC f = 110 Hz

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Unity Power Factor Circuit Design** For the circuit shown, the load impedance \(Z_L\) is given as \(50 - j30 \, \Omega\). The objective is to determine the component needed to form the impedance \(Z_{PFC}\) in parallel with \(Z_L\) so that the load achieves unity power factor. **Circuit Details:** - The circuit is supplied by a voltage source of \(55 \angle 0^\circ \, \text{V}\). - Frequency of the source, \(f = 110 \, \text{Hz}\). **Diagram Explanation:** The diagram displays a simple electrical circuit with the following elements: 1. **Voltage Source:** - Denoted by the sinusoidal symbol. - Voltage: \(55 \angle 0^\circ \, \text{V}\). 2. **Load Impedance (\(Z_L\)):** - Represented as a rectangular block. - Impedance: \(50 - j30 \, \Omega\). 3. **Power Factor Correction Impedance (\(Z_{PFC}\)):** - Another rectangular block placed parallel to \(Z_L\). - The component required to achieve unity power factor needs to be determined. **Objective:** To achieve a unity power factor, the imaginary part (reactive component) of the total impedance must be zero. This can be done by selecting a component that introduces a compensating reactance in the \(Z_{PFC}\) branch.
Transcribed Image Text:**Unity Power Factor Circuit Design** For the circuit shown, the load impedance \(Z_L\) is given as \(50 - j30 \, \Omega\). The objective is to determine the component needed to form the impedance \(Z_{PFC}\) in parallel with \(Z_L\) so that the load achieves unity power factor. **Circuit Details:** - The circuit is supplied by a voltage source of \(55 \angle 0^\circ \, \text{V}\). - Frequency of the source, \(f = 110 \, \text{Hz}\). **Diagram Explanation:** The diagram displays a simple electrical circuit with the following elements: 1. **Voltage Source:** - Denoted by the sinusoidal symbol. - Voltage: \(55 \angle 0^\circ \, \text{V}\). 2. **Load Impedance (\(Z_L\)):** - Represented as a rectangular block. - Impedance: \(50 - j30 \, \Omega\). 3. **Power Factor Correction Impedance (\(Z_{PFC}\)):** - Another rectangular block placed parallel to \(Z_L\). - The component required to achieve unity power factor needs to be determined. **Objective:** To achieve a unity power factor, the imaginary part (reactive component) of the total impedance must be zero. This can be done by selecting a component that introduces a compensating reactance in the \(Z_{PFC}\) branch.
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